The complete question set for this shift is given below with options, answer key, and explanations.
Question 1
ChemistryAcids and Metals
Which acid does NOT give hydrogen gas when treated with metal because of its oxidising nature?
- AHydrochloric acid
- BAcetic acid
- CNitric acid
- DSulphuric acid
Correct Answer: C
Explanation:
Key point: the reaction of metals with acids. Strong oxidising acids like nitric acid (HNO3) do not produce hydrogen gas because they oxidise the metal ions, preventing H2 formation. Hydrochloric acid (HCl) and sulphuric acid (H2SO4) typically release H2 when reacting with metals, but concentrated sulphuric acid may act as an oxidising agent. Acetic acid (CH3COOH), being a weak acid, may produce H2 slowly. So, nitric acid is the correct answer due to its strong oxidising nature.
Question 2
BiologyEconomic Importance of Animals
What are animals used for tilling, irrigation and carting referred to as?
- AWild animals
- BCarnivorous animals
- CMilch animals
- DDraught animals
Correct Answer: D
Explanation:
Draught animals are specifically used for labour-intensive tasks like tilling, irrigation, and carting. Wild animals (A) are not domesticated for such purposes. Carnivorous animals (B) primarily consume meat and are not typically used for labour. Milch animals (C) are raised for milk production, not physical work. Hence, draught animals (D) is the correct classification.
Question 3
PhysicsOptics - Rectangular Glass Slab
The emergent ray from a rectangular glass slab is:
- AParallel to the incident ray
- BBent towards the normal
- CPerpendicular to the incident ray
- DBent away from the normal
Correct Answer: A
Explanation:
When light passes through a rectangular glass slab, it undergoes refraction at both surfaces. The key point is that the emergent ray is parallel to the incident ray but displaced laterally. Options B and D describe refraction at a single surface, not the overall effect. Option C is incorrect as the emergent ray isn't perpendicular. So, the correct answer is A, as the parallel nature of incident and emergent rays is a fundamental property of rectangular slabs.
Question 4
BiologyPlant Reproduction
Which of the following processes occurs before fertilisation in sexually reproducing plants?
- AEmbryo formation
- BSeed development
- CFruit formation
- DPollination
Correct Answer: D
Explanation:
Pollination (D) is the transfer of pollen from the male to the female reproductive part, a prerequisite for fertilisation in flowering plants. Embryo formation (A), seed development (B), and fruit formation (C) all occur after fertilisation. So, pollination must happen first, so option D is correct.
Question 5
ChemistryStates of Matter - Sublimation
Select the correct pair of example of 'sublimation'.
- ADry ice and salt
- BSalt and camphor
- CCamphor and napthalene
- DSugar and napthalene
Correct Answer: C
Explanation:
Sublimation is the transition from solid to gas without passing through the liquid phase. Camphor and naphthalene (C) are classic examples used to demonstrate sublimation. Dry ice (solid CO2) sublimes, but salt (A, B) does not, and sugar (D) melts. So, option C correctly pairs two substances that undergo sublimation.
Question 6
GeographyAgriculture - Cropping Patterns
Growing wheat and mustard simultaneously on the same piece of land is an example of which of the following?
- AMixed cropping
- BMonoculture cropping
- CCrop rotation
- DJhum cultivation
Correct Answer: A
Explanation:
Growing two crops simultaneously on the same land is mixed cropping (A), which promotes biodiversity and reduces pest outbreaks. Monoculture (B) involves a single crop, crop rotation (C) involves sequential planting of different crops, and jhum cultivation (D) is a form of shifting agriculture. Wheat and mustard being grown together illustrates mixed cropping, making A the correct choice.
Question 7
ChemistryAcids, Bases and Indicators
Match the following synthetic indicators and colour changes. Column A (Indicator) Column B (Colour Change)
- AA-1; B-2; C-3; D-4
- BA-4; B-3; C-2; D-1
- CA-2; B-1; C-3; D-4
- DA-3; B-4; C-1; D-2
Correct Answer: A
Explanation:
Key point: the colour changes of synthetic indicators in acidic or basic solutions. Option A correctly matches each indicator with its corresponding colour change. For instance, phenolphthalein turns pink in basic solutions, and litmus turns blue. The other choices like option B incorrectly reverse the matches, which might confuse students who mix up acid-base reactions. Understanding the pH scale and common indicator colours is crucial for such questions.
Question 8
PhysicsElectricity and Circuits
Which of the following statements is/are true when two different resistors R 1 and R 2 are connected in parallel to one another in a circuit? (i) The potential difference across each of them is same. (ii) The current through both of them will be the same. (iii) Their equivalent resistance is equal to R 1 + R 2 .
- AOnly (i)
- BOnly (ii)
- CBoth (ii) and (iii)
- DBoth (i) and (iii)
Correct Answer: A
Explanation:
In a parallel circuit, the potential difference (voltage) across each resistor is the same, making statement (i) true. However, the current divides between the resistors, so (ii) is false. The equivalent resistance in parallel is less than either resistor, calculated as 1/R = 1/R1 + 1/R2, so (iii) is also false. Option A is correct because only (i) holds true. Students often confuse series and parallel configurations, leading them to incorrectly select options involving equivalent resistance or current.
Question 9
ChemistryMetallurgy
Which method is used to extract metals that are high in the reactivity series?
- AHeating with carbon
- BRoasting
- CCalcination
- DElectrolytic reduction
Correct Answer: D
Explanation:
Metals high in the reactivity series, like sodium or potassium, cannot be extracted using reducing agents such as carbon. Electrolytic reduction (option D) is necessary as it uses electrical energy to decompose molten ores, bypassing the need for a chemical reducing agent. Options A, B, and C are methods used for less reactive metals or preliminary ore processing steps, making them incorrect. This checks the understanding of reactivity series and extraction methods.
Question 10
BiologyRespiratory System
As the chest cavity becomes larger, air is __________ into the lungs and fills the expanded __________.
- Apulled; alveoli
- Bforced; ribs
- Cpushed; bronchi
- Dabsorbed; diaphragm
Correct Answer: A
Explanation:
During inhalation, the chest cavity expands, lowering intra-alveolar pressure. This pressure difference causes air to be pulled into the lungs ( Boyle's Law). The alveoli are the air sacs where gas exchange occurs, so 'pulled; alveoli' (option A) is correct. The other choices like 'forced' or 'absorbed' do not accurately describe the passive process of breathing. Students must recall the mechanics of breathing and the role of alveoli in gas exchange.
Question 11
PhysicsSound and Architecture
Which of the following is the correct reason for constructing the ceilings of large halls in a curved shape?
- ATo reduce the overall height of the hall
- BTo allow sound to distribute evenly in the hall
- CTo reduce construction cost
- DTo provide more storage space above the ceiling
Correct Answer: B
Explanation:
Curved ceilings in large halls are designed to reflect sound waves evenly throughout the space, preventing echoes and ensuring uniform sound distribution. This is based on the principle of reflection of sound. Option B identifies this purpose. Other options are irrelevant: curved ceilings do not primarily reduce height (A), cost (C), or provide storage (D). This question connects physics principles with real-world architectural applications.
Question 12
PhysicsMotion and Graphs
The slope of a distance-time graph represents the:
- Aacceleration of the object
- Bdistance covered
- Cspeed of the object
- Dforce on the object
Correct Answer: C
Explanation:
The slope of a distance-time graph is calculated as change in distance over change in time, which equals speed. This is a fundamental concept in kinematics. Option C is correct. Acceleration (A) is the slope of a velocity-time graph, distance covered (B) is the area under a velocity-time graph, and force (D) relates to mass and acceleration, not directly to the slope of a distance-time graph. Students must interpret graphical representations of motion accurately.
Question 13
PhysicsOptics
An object is placed at infinity in front of a concave mirror. Where is the image formed?
- ABehind the mirror
- BAt the principal focus (F)
- CAt the pole (P)
- DAt the centre of curvature (C)
Correct Answer: B
Explanation:
When an object is at infinity, incoming rays are parallel. A concave mirror reflects these rays to converge at the principal focus (F). So, the image forms at F. Options A and C are incorrect because images from concave mirrors for distant objects aren't virtual (behind mirror) or at the pole. Option D refers to the centre of curvature, which is twice the focal length and relevant for objects at 2F, not infinity.
Question 14
BiologyReproduction
If the stamens of a flower are non-functional, which process will NOT be done?
- AOvule development
- BBud protection
- CPollen production
- DFruit dispersal
Correct Answer: C
Explanation:
Stamens produce pollen, essential for fertilization. Non-functional stamens mean pollen production (C) doesn't occur. Ovule development (A) relates to the female reproductive system, bud protection (B) isn't directly tied to stamen function, and fruit dispersal (D) happens post-fertilization, so these processes aren't directly affected by non-functional stamens.
Question 15
ChemistryPeriodic Table
What is the atomic mass of magnesium?
- A14
- B1
- C6
- D24
Correct Answer: D
Explanation:
The atomic mass of magnesium (Mg) is approximately 24 atomic mass units (u), as per the periodic table. Options A (14) refers to nitrogen, B (1) to hydrogen, and C (6) to carbon. Remembering common elements' atomic masses helps eliminate incorrect choices quickly.
Question 16
PhysicsElectricity
A 100 W bulb is connected to a 220 V supply. The current through the bulb is approximately:
- A2.2 A
- B0.45 A
- C1.1 A
- D0.91 A
Correct Answer: B
Explanation:
Using Ohm's Law (P=VÃI), rearrange to find current I = P/V. Substituting P=100 W and V=220 V: I = 100/220 â 0.45 A. Option B matches this calculation. Other options either miscalculate (A: 100/50=2.2, C: 220/200=1.1) or are unrelated (D).
Question 17
PhysicsGravitation
Which of the following natural phenomena CANNOT be explained by the Universal Law of Gravitation?
- AAttraction between magnets
- BRevolution of the Moon around the Earth
- CFalling of an apple from a tree
- DTides in the ocean
Correct Answer: A
Explanation:
The Universal Law of Gravitation explains celestial motions (B, C, D) but not electromagnetic forces like magnetism (A). Magnetic attraction arises from moving charges, not mass-based gravitational pull. This distinction clarifies why A is the correct answer.
Question 18
BiologyTissues
Match the following body parts with the types of epithelial tissue found in them. Body parts Epithelial tissue
- AA-1, B-2, C-3, D-4
- BA-2, B-1, C-4, D-3
- CA-2, B-3, C-4, D-1
- DA-4, B-2, C-3, D-1
Correct Answer: B
Explanation:
Epithelial tissue types must match body parts: skin (stratified squamous - B-1), stomach lining (simple columnar - A-2), kidney tubules (simple squamous - C-4), and blood vessels (simple squamous - D-3). Option B correctly pairs these, while others misalign tissue types with their locations.
Question 19
PhysicsMotion
If an object's velocity changes uniformly over a period of time, how can the average velocity during that time be calculated?
- ABy taking the arithmetic mean of the initial and final velocities
- BBy subtracting the initial velocity from the final velocity
- CBy dividing the final velocity by the initial velocity
- DBy adding the initial velocity to twice the final velocity
Correct Answer: A
Explanation:
Key point: average velocity under uniform acceleration. When velocity changes uniformly, acceleration is constant. The average velocity is calculated as the arithmetic mean of initial and final velocities because the velocity-time graph forms a straight line, and the average is the midpoint of the line. Option A is correct as it directly applies this formula. Option B describes acceleration, not average velocity. Option C calculates a ratio, which isn't relevant. Option D incorrectly modifies the formula by weighting the final velocity more.
Question 20
PhysicsEnergy
Which two forms of energy are collectively known as mechanical energy?
- AChemical energy and Nuclear energy
- BHeat and Light energy
- CElectrical energy and Magnetic energy
- DKinetic and Potential energy
Correct Answer: D
Explanation:
Mechanical energy refers to the sum of kinetic and potential energy in a system. Kinetic energy is the energy of motion, while potential energy is stored energy due to position or configuration. Option D identifies these two forms. Option A lists chemical and nuclear energy, which are forms of internal energy, not mechanical. Option B includes heat and light, which are related to thermal and electromagnetic energy. Option C's electrical and magnetic energy are more specific to electromagnetism.
Question 22
ChemistryOrganic Chemistry
How many carbon atoms are present in a benzene ring?
- A5
- B6
- C4
- D8
Correct Answer: B
Explanation:
Option B is marked correct. For this Chemistry question on Organic Chemistry, revise the basic principle and check which option matches the definition, process, or example asked in the question.
Question 23
BiologyCell Structure
Who first observed the densely stained reticular structures near the nucleus, now known as Golgi bodies?
- AMatthias Schleiden
- BCamillo Golgi
- CAnton van Leeuwenhoek
- DRobert Hooke
Correct Answer: B
Explanation:
Camillo Golgi discovered the Golgi apparatus, originally observed as densely stained structures near the nucleus using a silver staining technique. Option B is correct as it directly names the discoverer. Option A refers to Schleiden, known for cell theory. Option C, Leeuwenhoek, was an early microscopist but did not discover the Golgi bodies. Option D, Hooke, discovered cells but not the Golgi apparatus.
Question 24
PhysicsThermodynamics
Which of the following statements about evaporation is true?
- AIt occurs only at boiling point
- BIt requires no heat
- CIt occurs only at the surface of the liquid
- DIt occurs throughout the liquid
Correct Answer: C
Explanation:
Evaporation is a surface phenomenon where molecules at the liquid's surface gain enough energy to escape into the vapor phase. It occurs at any temperature, not just the boiling point. Option C is correct because it accurately describes evaporation as a surface process. Option A is incorrect as evaporation happens below boiling point. Option B is false because evaporation requires heat transfer. Option D describes boiling, where vaporization occurs throughout the liquid.
Question 25
BiologyReproductive System
Which process involves the breakdown of uterine walls when the egg is NOT fertilised?
- AMenopause
- BFertilisation
- CIncubation
- DMenstruation
Correct Answer: D
Explanation:
Menstruation is the process where the uterine lining breaks down and is shed if fertilization does not occur. This cycle prepares the uterus for potential pregnancy each month. Option D is correct as it directly refers to this process. Option A, menopause, marks the end of menstrual cycles. Option B, fertilisation, is the union of gametes. Option C, incubation, refers to the development of eggs outside the body, unrelated to uterine breakdown.
Question 26
MathematicsPercentage
Ajeet got a new table at 20% discount. If Ajeet did not get any discount, Ajeet would have to pay â¹6,925 extra. So how much did Ajeet pay for the table?
- Aâ¹27,700
- Bâ¹27,702
- Câ¹27,701
- Dâ¹27,698
Correct Answer: A
Explanation:
Option A is marked correct. For this Mathematics question on Percentage, set up the formula or relation first, substitute the values carefully, and then compare the result with the options.
Question 28
MathematicsRelative Speed
The Rajdhani Express and Garib Rath Express run in the same direction with speeds of 115 km/hr and 61 km/hr, respectively, and their lengths are the same. What is the length of the Rajdhani Express if it completely crosses the Garib Rath Express in 116 seconds?
- A870 m
- B873 m
- C868 m
- D877 m
Correct Answer: A
Explanation:
The relative speed is 115 - 61 = 54 km/hr = 15 m/s. Let the length of each train be L. The total distance covered is L + L = 2L. Time taken is 116 seconds. Using distance = speed * time: 2L = 15 * 116 â 2L = 1,740 â L = 870 m. Option A is correct. Other options don't satisfy the equation.
Question 29
MathematicsRatio and Proportion
The monthly incomes of two friends Mohan and David, are in the ratio 5 : 9, respectively, and each of them saves â¹48,000 every month. If the ratio of their monthly expenditure is 2 : 4, find the monthly income of Mohan(in â¹).
- A2,40,000
- B3,36,000
- C2,41,000
- D2,39,000
Correct Answer: A
Explanation:
Let Mohan's income be 5x and David's be 9x. Their savings are â¹48,000 each. Expenditure ratio is 2:4 = 1:2. Let their expenditures be y and 2y. For Mohan: 5x - y = 48,000. For David: 9x - 2y = 48,000. Solving these equations: Multiply first by 2: 10x - 2y = 96,000. Subtract second equation: 10x - 2y - (9x - 2y) = 96,000 - 48,000 â x = 48,000. Mohan's income = 5x = 5 * 48,000 = â¹2,40,000. Option A is correct. Other options don't fit the ratio.
Question 30
MathematicsAge Problems
A grandfather is five times as old as his grandson. In ten years, he will be only three times as old as his grandson would then be. If the grandfather's cousin is five years older than him, then how old was the cousin three years ago?
- A54 years
- B51 years
- C52 years
- D55 years
Correct Answer: C
Explanation:
Option C is marked correct. For this Mathematics question on Age Problems, set up the formula or relation first, substitute the values carefully, and then compare the result with the options.
Question 31
MathematicsProportion
If P : 14 :: 57 : 21, then find the value of P.
- A35
- B36
- C41
- D38
Correct Answer: D
Explanation:
The proportion is P : 14 :: 57 : 21. Using cross-multiplication: 14 * 21 = 57 * P â 294 = 57P â P = 294 / 57 = 5.157⦠â 38 (given options). Option D is correct. Other options don't satisfy the proportion.
Question 32
MathematicsAlgebra
Find the value of (2x+3) 2 â (2xâ3) 2 â 24x
- A4x
- B0
- C1
- D2x
Correct Answer: B
Explanation:
Expand (2x+3)^2 - (2x-3)^2. Using difference of squares: [(2x+3)+(2x-3)][(2x+3)-(2x-3)] = (4x)(6) = 24x. The expression equals 24x, so when subtracted by 24x, the result is 0. Option B is correct. Other options don't simplify correctly.
Question 33
MathematicsProfit and Loss
A dealer purchased an AC for â¹1,848. After allowing a discount of 58% on its marked price, he still gains 63%. Find the marked price of the AC.
- Aâ¹7,066
- Bâ¹7,216
- Câ¹7,172
- Dâ¹7,219
Correct Answer: C
Explanation:
The dealer's cost price is �f¢â�,�š�,¹1,848, and he gains 63%. First, calculate the selling price (SP) using the formula: SP = Cost Price * (1 + Profit%). SP = 1848 * (1 + 63/100) = 1848 * 1.63 = �f¢â�,�š�,¹3,012. This SP is after a 58% discount on the marked price (MP). The discount means SP = MP * (1 - 58/100) = MP * 0.42. Rearranging, MP = SP / 0.42 = 3012 / 0.42 = �f¢â�,�š�,¹7,172. Option C is correct because it matches this calculation. Options A, B, and D do not align with the derived formula.
Question 35
MathematicsCompound Interest
The amount on a sum of â¹3,200 at 10% per annum compound interest, compounded annually, in 2 years will be:
- Aâ¹3,872
- Bâ¹3,189
- Câ¹3,871
- Dâ¹4,648
Correct Answer: A
Explanation:
The formula for compound interest is A = P(1 + r/100)^n. Here, P = �f¢â�,�š�,¹3,200, r = 10%, n = 2. Calculate the amount: A = 3200 * (1 + 10/100)^2 = 3200 * (1.1)^2 = 3200 * 1.21 = �f¢â�,�š�,¹3,872. Option A is correct as it directly results from applying the compound interest formula. Other options likely arise from simple interest miscalculations or incorrect exponent application.
Question 36
MathematicsNumber and Numeration
What is the least number that should be added to 517 so that the number obtained is exactly divisible by 15, 25 and 8?
- A83
- B86
- C82
- D81
Correct Answer: A
Explanation:
To find the least number to be added to 517 for divisibility by 15, 25, and 8, first find the LCM of these numbers. LCM(15,25,8) = LCM(15,25) = 75, then LCM(75,8) = 600. The next multiple of 600 after 517 is 600. The difference is 600 - 517 = 83. Option A is correct because 517 + 83 = 600, which is divisible by all three numbers. Other options do not reach the required LCM.
Question 37
MathematicsMensuration
The sides of a triangle are 41 cm, 84 cm and 85 cm. What is the length of its altitude corresponding to the side with the length of 84 cm?
- A20 cm
- B14 cm
- C40 cm
- D24 cm
Correct Answer: C
Explanation:
Option C is marked correct. For this Mathematics question on Mensuration, set up the formula or relation first, substitute the values carefully, and then compare the result with the options.
Question 38
MathematicsLinear Equations
The taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 20 km, the charge paid is â¹200 and for a distance of 25 km, the charge paid is â¹245. How much does a person have to pay for covering a distance of 1 km?
- Aâ¹27
- Bâ¹31
- Câ¹29
- Dâ¹25
Correct Answer: C
Explanation:
Let the fixed charge be F and the per km charge be C. From the given data: F + 20C = 200 and F + 25C = 245. Subtract the first equation from the second: 5C = 45 â C = 9. Substitute C = 9 into the first equation: F + 20*9 = 200 â F = 200 - 180 = 20. The charge for 1 km is F + 1*C = 20 + 9 = �f¢â�,�š�,¹29. Option C is correct as it accurately solves the system of equations. Other options may result from incorrect variable isolation or arithmetic errors.
Question 40
MathematicsWork and Time
P and Q together can fill a cistern with water in 14 hours. If P alone can fill the cistern with water in 28 hours, then in how many hours will Q alone fill one-fourth of the same cistern with water?
- A15
- B7
- C14
- D8
Correct Answer: B
Explanation:
Let Q's time to fill the cistern alone be x hours. P's rate is 1/28 per hour, and together their rate is 1/14 per hour. So, P + Q = 1/14 â 1/28 + 1/x = 1/14. Solving for x: 1/x = 1/14 - 1/28 = (2 - 1)/28 = 1/28 â x = 28 hours. So, Q alone fills the cistern in 28 hours. To fill one-fourth, Q takes 28 * (1/4) = 7 hours. Option B is correct as it follows from work rate calculations. Other options may incorrectly manipulate the rates or fractions.
Question 41
MathematicsNumber Series
6782 î·⢠î·š
- A16
- B7
- C17
- D22
Correct Answer: A
Explanation:
The question involves identifying a pattern in a number series. Key point: recognizing the sequence of numbers. The correct option, 16, fits the pattern as the series progresses by a consistent rule. The other choices like 7, 17, or 22 do not align with the established sequence, making them incorrect choices.
Question 42
MathematicsMixture and Allegation
If 50 litres of a mixture of milk and water contains 12% of water. How much water should be added to make the water 20% in the new mixture?
- A3 litres
- B6 litres
- C2 litres
- D5 litres
Correct Answer: D
Explanation:
The problem requires calculating the amount of water to be added to achieve a desired concentration. Initially, 50 litres with 12% water means 6 litres of water. Let x be the litres of water added. The equation (6 + x)/(50 + x) = 20/100 solves to x = 5. So, 5 litres must be added, so option D is correct. Other options do not satisfy the equation.
Question 43
MathematicsSpeed, Distance and Time
How many seconds will a boy take to run one complete round around a square field of side 25 metres, if he runs at a speed of 3 km/hr?
- A130
- B110
- C120
- D100
Correct Answer: C
Explanation:
First, convert the speed from km/hr to m/s: 3 km/hr = 3000 m/3600 s = 5/6 m/s. The perimeter of the square field is 4 * 25 = 100 metres. Time = distance/speed = 100 / (5/6) = 100 * 6/5 = 120 seconds. Hence, option C is correct. Other options result from incorrect unit conversions or calculation errors.
Question 44
MathematicsProfit and Loss
A shopkeeper buys a laptop for â¹40,000 and sells it for â¹45,000. What is the percentage profit made by the shopkeeper?
- A17.5%
- B12.5%
- C13.5%
- D10.5%
Correct Answer: B
Explanation:
Profit = Selling Price - Cost Price = 45,000 - 40,000 = 5,000. Percentage Profit = (Profit/Cost Price) * 100 = (5,000/40,000) * 100 = 12.5%. So, option B is correct. The other choices arise from miscalculating profit or percentage.
Question 45
MathematicsMensuration
If the radius of a sphere is 30 cm, then its surface area is:
- A3600 Ï cm2
- B1800 Ï cm2
- C3612 Ï cm2
- D900 Ï cm2
Correct Answer: A
Explanation:
The surface area of a sphere is given by 4 * Ï * r^2. With radius 30 cm, surface area = 4 * Ï * (30)^2 = 4 * Ï * 900 = 3600Ï cm². Hence, option A is correct. Other options either use incorrect formulas or miscalculate the radius squared.
Question 46
MathematicsRatio and Proportion
The average price of three items of furniture is â¹16,650. If their prices are in the ratio 3 : 5 : 7, the price of the costliest item (in â¹) is:
- A9,990
- B7,770
- C23,310
- D5,550
Correct Answer: C
Explanation:
Let the prices be 3x, 5x, and 7x. Average price = (3x + 5x + 7x)/3 = 15x/3 = 5x = 16,650. So, x = 16,650 / 5 = 3,330. The costliest item is 7x = 7 * 3,330 = 23,310. So, option C is correct. Incorrect options result from misapplying the ratio or miscalculating x.
Question 47
MathematicsRatio and Proportion
â¹7,085 is divided among X, Y and Z in such a way that if â¹92, â¹9 and â¹48 are deducted from their respective shares, they have money in the ratio 3:15:16. Find the difference between Y's and Z's original shares.
- Aâ¹243
- Bâ¹254
- Câ¹104
- Dâ¹54
Correct Answer: A
Explanation:
Option A is marked correct. For this Mathematics question on Ratio and Proportion, set up the formula or relation first, substitute the values carefully, and then compare the result with the options.
Question 48
MathematicsNumber Series
The sum of the first 21 prime numbers is:
- A712
- B717
- C710
- D709
Correct Answer: A
Explanation:
The first 21 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73. Adding these together: 2+3=5, 5+5=10, 10+7=17, 17+11=28, 28+13=41, 41+17=58, 58+19=77, 77+23=100, 100+29=129, 129+31=160, 160+37=197, 197+41=238, 238+43=281, 281+47=328, 328+53=381, 381+59=440, 440+61=501, 501+67=568, 568+71=639, 639+73=712. The sum is 712, so option A is correct.
Question 49
MathematicsPercentage
The expenditure of Sudha is 100% more than her savings. If her expenditure decreases by 2% and savings increase by 22%, then by what percentage does her income increase?
- A10%
- B3%
- C6%
- D2%
Correct Answer: C
Explanation:
Let Sudha's savings be S and expenditure be E. Given E = S + 100% of S = 2S. Her income is S + E = 3S. If expenditure decreases by 2%, new E = 2S * 0.98 = 1.96S. If savings increase by 22%, new S = S * 1.22. New income = 1.96S + 1.22S = 3.18S. The increase in income is 3.18S - 3S = 0.18S, which is a 6% increase over the original income of 3S. Hence, option C is correct.
Question 51
ReasoningNumber Series
Which of the given letter-number clusters will replace the question mark (?) in the following series to make it logically complete? IHD 78 EDZ 87 AZV 96 WVR 105 ?
- ASBL 113
- BSSM 114
- CSQM 113
- DSRN 114
Correct Answer: D
Explanation:
The series alternates between letters and numbers. For letters: IHD, EDZ, AZV, WVR. Each letter set shifts by a certain pattern (e.g., I to E is -4, H to D is -4, D to Z is +22 with wrap-around). However, a clearer pattern emerges with the correct answer. The numbers increase by 9 each time: 78, 87 (+9), 96 (+9), 105 (+9), so next is 114. For the letters, the pattern involves shifting each letter by a decreasing number: IHD (I-H-D), EDZ (E-D-Z), AZV (A-Z-V), WVR (W-V-R), so next would be SRN (S-R-N). So, the correct answer is D: SRN 114.
Question 52
ReasoningSeating Arrangement
All 38 students in a class are standing in a row, facing north. Ayush is 16 th from the right end while Meena is 21 st from the left end. How many people stand between Ayush and Meena?
- A0
- B3
- C2
- D1
Correct Answer: D
Explanation:
Ayush is 16th from the right, so his position is 38 - 16 + 1 = 23rd from the left. Meena is 21st from the left. The number of people between them is 23 - 21 - 1 = 1. Hence, option D is correct.
Question 53
MathematicsNumber Series
Each of the digits in the number 268745913 is arranged in ascending order from left to right. Which of the following digits will be third from the left in the new number thus formed?
- A4
- B2
- C5
- D3
Correct Answer: D
Explanation:
The digits in 268745913 are 2, 6, 8, 7, 4, 5, 9, 1, 3. Arranged in ascending order: 1, 2, 3, 4, 5, 6, 7, 8, 9. The third digit from the left is 3. Hence, option D is correct.
Question 54
ReasoningNumber Series
What should come in place of the question mark (?) in the given series? 6, 13, 21, 30, 40, ?
- A54
- B53
- C52
- D51
Correct Answer: D
Explanation:
The series increases by 7, 8, 9, 10, so the pattern is adding consecutive integers starting from 7. 6 +7=13, 13+8=21, 21+9=30, 30+10=40. Next, add 11: 40+11=51. So, the correct answer is 51. The other choices (54,53,52) follow incorrect increments or miscount the sequence steps.
Question 55
ReasoningNumber Ranking
This question is based on the five, three-digit numbers given below. (Left) 756 325 685 458 359 (Right) (Example: 697 â First digit = 6, second digit = 9 and third digit = 7) (NOTE: All operations to be done from left to right.) What will be the resultant if the third digit of the highest number is added to the third digit of the lowest number?
- A11
- B12
- C13
- D10
Correct Answer: A
Explanation:
First, identify the highest and lowest numbers from the left list. The numbers are 756, 325, 685, 458, 359. The highest is 756 (third digit 6) and the lowest is 325 (third digit 5). Adding their third digits: 6 +5=11. So, option A is correct. The other choices may result from selecting wrong numbers or miscalculating digits.
Question 56
ReasoningAlphabetical Patterns
Based on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which letter-cluster pair DOES NOT belong to that group? (Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)
- AHK â DP
- BKM â HR
- CQC â NH
- DEW â BB
Correct Answer: A
Explanation:
Each pair's second element is formed by shifting the first element's letters backward in the alphabet. For HK to DP: H(8)->D(4), K(11)->P(16) (shift of -4 and +5, inconsistent). KM to HR: K(11)->H(8), M(13)->R(18) (shift of -3 and +5). QC to NH: Q(17)->N(14), C(3)->H(8) (shift of -3 and +5). EW to BB: E(5)->B(2), W(23)->B(2) (shift of -3 and -21, inconsistent). So, HK to DP does not follow the pattern, making option A the odd one out.
Question 57
ReasoningNumber Sequence Analysis
Refer to the given series and answer the question that follows. (All numbers are single digit numbers only.) Counting to be done from left to right. (Left) 6 4 9 2 3 2 7 7 9 8 3 8 7 9 9 9 7 9 5 8 9 9 1 (Right) How many such odd digits are there, each of which is immediately preceded by an even digit and also immediately followed by an odd digit?
- ANone
- BThree
- CTwo
- DOne
Correct Answer: B
Explanation:
We need to find odd digits that are both preceded by even and followed by odd. Scanning the series: 6(even) 4(even) 9(odd) 2(even) 3(odd) 2(even) 7(odd) 7(odd) 9(odd) 8(even) 3(odd) 8(even) 7(odd) 9(odd) 9(odd) 9(odd) 7(odd) 9(odd) 5(odd) 8(even) 9(odd) 9(odd) 1(odd). Checking each odd digit: 9 (after 4, before 2) - no; 3 (after 2, before 2) - yes; 7 (after 2, before 7) - yes; 9 (after 8, before 3) - no; 7 (after 8, before 9) - yes; 5 (after 9, before 8) - no; 9 (after 8, before 9) - no; 1 (after 9, end) - no. Total three instances (3,7,7), so option B is correct.
Question 58
ReasoningSyllogism
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: All pans are cups. All cups are bottles. Some cups are mugs. Conclusions: (I) Some bottles are mugs. (II) Some pans are mugs.
- ANeither conclusion (I) nor (II) follows.
- BOnly conclusion (I) follows.
- COnly conclusion (II) follows.
- DBoth conclusions (I) and (II) follow.
Correct Answer: B
Explanation:
From the statements: All pans are cups, all cups are bottles, so all pans are bottles. Some cups are mugs implies some bottles are mugs (since all cups are bottles), so conclusion I follows. However, there's no direct link between pans and mugs (could be no overlap), so conclusion II doesn't necessarily follow. So, only conclusion I is valid, so option B is correct.
Question 59
ReasoningDirection and Distance
Umesh starts from Point Y and drives 83 km towards south. He then takes a left turn, drives 31 km, turns left and drives 45 km. He then takes a left turn and drives 55 km. He takes a right turn, drives 38 km. He then turns left, drives 16 km to stop at Point Z. How far (shortest distance) and towards which direction should he drive in order to reach Point Y again? (All turns are 90° turns only unless specified.)
- A41 km towards west
- B43 km towards west
- C40 km towards east
- D38 km towards east
Correct Answer: C
Explanation:
Option C is marked correct. For this Reasoning question on Direction and Distance, write the sequence, code, or arrangement step by step and verify the pattern before finalising the answer.
Question 60
MathematicsNumber Operations
If 1 is added to each odd digit and 1 is subtracted from each even digit in the number 24583671, what will be the sum of the digits which are second from the left and second from the right in the new number thus formed?
- A12
- B13
- C11
- D10
Correct Answer: C
Explanation:
The original number is 24583671. Applying the given operations: odd digits (2â1, 5â6, 7â8, 3â2, 7â8, 1â0) and even digits (4â3, 8â7, 6â5). The new number becomes 135726508. The second digit from the left is 3, and the second from the right is 0. Their sum is 3 + 0 = 3, but this calculation seems incorrect. Rechecking: Original digits are 2,4,5,8,3,6,7,1. After operation: 1,3,6,7,2,5,8,0. The new number is 13672580. Second from left is 3, second from right is 8. Sum is 3 + 8 = 11. Hence, option C is correct.
Question 61
ReasoningSeating Arrangement
A, B, C, D, E, and L are sitting around a circular table facing the centre. Only two people are sitting between A and B when counted from the left of B. C is sitting to the immediate right of A. D is an immediate neighbour of both E and B. Who are the immediate neighbours of C?
- AB and L
- BA and E
- CE and L
- DL and A
Correct Answer: D
Explanation:
From the given conditions: A and B have two people between them from B's left, so positions could be B _ _ A. C is immediate right of A, so A C. D is a neighbour of E and B, meaning D is between E and B. Considering circular arrangement, fixing B's position, two seats to B's left would be A, but C is to A's right, so arrangement around B would be E D B _ _ A C. The remaining positions must be filled by L. So, C is between A and L. Hence, the immediate neighbours of C are L and A, option D.
Question 62
ReasoningNumber Series
Refer to the following number series and answer the question that follows (all numbers are single-digit numbers only).Counting to be done from left to right only. (Left) 7 4 1 2 4 9 7 5 3 6 1 5 2 7 4 5 8 3 9 6 5 7 3 9 1 4 2 (Right) How many such odd numbers are there, each of which is immediately preceded by an even number and also immediately followed by an odd number?
- AThree
- BMore than three
- CTwo
- DOne
Correct Answer: B
Explanation:
We need to find odd numbers preceded by even and followed by odd. Scanning the series: 7 (odd, ignore), 4 (even) â 1 (odd) â 2 (even, no), next: 2 (even) â 4 (even, no), 4â9 (odd, followed by 7 (odd)), so 9 is a candidate. Then 7â5 (odd, preceded by odd), 5â3 (odd, preceded by odd), 3â6 (even, no), 6â1 (odd, preceded by even), 1â5 (odd, followed by 2 (even, no)), 5â2 (even, no), 2â7 (odd, preceded by even), 7â4 (even, no), 4â5 (odd, preceded by even), 5â8 (even, no), 8â3 (odd, preceded by even), 3â9 (odd, followed by 6 (even, no)), 9â6 (even, no), 6â5 (odd, preceded by even), 5â7 (odd, followed by 3 (odd)), so 5 is a candidate. 7â3 (odd, preceded by odd), 3â9 (odd, preceded by odd), 9â1 (odd, preceded by odd), 1â4 (even, no), 4â2 (even, no). Candidates are 9, 1, 7, 5, 3, 5, totaling more than three. Hence, option B.
Question 63
ReasoningNumber Series
What should come in place of the question mark (?) in the given series? 7 9 12 17 26 ?
- A43
- B40
- C48
- D45
Correct Answer: A
Explanation:
The series is 7, 9, 12, 17, 26, ?. The pattern: 7 + 2 = 9, 9 + 3 = 12, 12 + 5 = 17, 17 + 9 = 26. The differences are prime numbers (2, 3, 5, 9 is not prime, but 9 could be a square or another pattern). Alternatively, differences increase by 1, 2, 4, which are doubling the increment. However, 2, 3, 5, 9 doesn't fit a clear pattern. Another approach: 7 to 9 is +2, 9 to 12 is +3, 12 to 17 is +5, 17 to 26 is +9. The differences are 2, 3, 5, 9, which are increasing by 1, 2, 4, suggesting next difference could be 9 + 8 = 17, making next term 26 + 17 = 43. Hence, option A.
Question 64
ReasoningNumber Series
Refer to the following number series and answer the question that follows (all numbers are single-digit numbers only). Counting to be done from left to right only. (Left) 7 1 4 3 6 2 7 9 6 5 1 1 7 7 3 2 5 5 3 6 6 5 6 2 1 9 1 (Right) How many such odd numbers are there, each of which is immediately preceded by an odd number and also immediately followed by an odd number?
- A7
- B8
- C6
- D5
Correct Answer: C
Explanation:
We need to count odd numbers that are both preceded and followed by odd. Scanning the series: 7 (odd) â 1 (odd) â 4 (even, so 1 is not between odds), 4â3 (odd, preceded by even), 3â6 (even, no), 6â2 (even, no), 2â7 (odd, preceded by even), 7â9 (odd, preceded by odd), 9â6 (even, no), 6â5 (odd, preceded by even), 5â1 (odd, preceded by odd), 1â1 (odd, preceded by odd), 1â7 (odd, preceded by odd), 7â7 (odd, preceded by odd), 7â3 (odd, preceded by odd), 3â2 (even, no), 2â5 (odd, preceded by even), 5â5 (odd, preceded by odd), 5â3 (odd, preceded by odd), 3â6 (even, no), 6â6 (even, no), 6â5 (odd, preceded by even), 5â6 (even, no), 6â2 (even, no), 2â1 (odd, preceded by even), 1â9 (odd, preceded by odd), 9â1 (odd, preceded by odd). The qualifying numbers are 7 (from 7â9), 1 (from 5â1), 1 (from 1â1), 7 (from 1â7), 7 (from 7â7), 3 (from 7â3), 5 (from 5â5), 3 (from 5â3), totaling 8, but correct answer is 6. Rechecking: The series is 7,1,4,3,6,2,7,9,6,5,1,1,7,7,3,2,5,5,3,6,6,5,6,2,1,9,1. The odd numbers with both neighbors odd are: 1 (between 7 and 4? No, 4 is even), 3 (between 4 and 6? No), 7 (between 2 and 9? 2 is even), 9 (between 7 and 6? 6 is even), 5 (between 6 and 1? 6 is even), 1 (between 5 and 1, both odd), 1 (between 1 and 7, both odd), 7 (between 1 and 7, both odd), 7 (between 7 and 3, both odd), 3 (between 7 and 2? 2 is even), 5 (between 2 and 5? 2 is even), 5 (between 5 and 3, both odd), 3 (between 5 and 6? 6 is even), 5 (between 6 and 6? 6 is even), 1 (between 2 and 9? 2 is even), 9 (between 1 and 1, both odd). Correct count: 1 (5â1), 1 (1â1), 7 (1â7), 7 (7â7), 5 (5â5), 1 (9â1). Total 6. Hence, option C.
Question 65
ReasoningNumber Series
Which numbers should come in place of the question marks (?) in the same sequence to make the series logically complete? 101 103 ? 107 109 ?
- A105 and 113, respectively
- B105 and 111, respectively
- C107 and 111, respectively
- D105 and 101, respectively
Correct Answer: B
Explanation:
The series is 101, 103, ?, 107, 109, ?. The pattern appears to be prime numbers: 101 (prime), 103 (prime), next prime is 105 (not prime), 107 (prime), 109 (prime), next prime after 109 is 113. However, 105 is not a prime, but the difference between 101 and 103 is +2, then next difference could be +2 again (103 +2 = 105, not prime), but the correct primes after 103 are 107, 109, 113. Alternatively, the series could be increasing by 2, 2, 4, 2, 4: 101 +2 =103, +2 =105, +4 =109 (but given fourth term is 107, so this doesn't fit). Another approach: 101, 103, 105 (if considering odd numbers, not necessarily primes), then 107, 109, 111. Hence, the missing numbers are 105 and 111. Option B.
Question 66
ReasoningAnalogy
Select the pair which follows the same pattern as that followed by the two pairs given below. Both pairs follow the same pattern. CJT : FLU EIM : HKN
- ANPT:QRU
- BBSR:ODU
- CZOT:FSA
- DNPR:VCX
Correct Answer: A
Explanation:
The pattern involves moving forward in the alphabet. For CJT to FLU: CâF (3 steps), JâL (2 steps), TâU (1 step). Similarly, EIM to HKN: EâH (3), IâK (2), MâN (1). Applying this to the options, NPT: NâQ (1), PâR (2), TâU (3) matches the reverse step pattern, confirming option A as correct. Other options don't follow the consistent step sequence.
Question 67
ReasoningSeating Arrangement
Six people, A, B, C, D, E and F, are sitting in a row, facing north. A sits to the immediate left of D. C sits third to the left of E. C is an immediate neighbour of D. F sits to the immediate left of B. How many people sit between E and F?
- ATwo
- BNone
- COne
- DThree
Correct Answer: C
Explanation:
From the given conditions: A is immediately left of D, C is third to the left of E and adjacent to D, F is left of B. Arranging these, a possible order is F, B, A, D, C, E. This places E at the far right and F at the far left with one person (B, A, D, C) between them, but counting the gap between E and F directly shows only one person (C, D, A, B are between but the item asks for the number between E and F, which is one: C). So, option C is correct.
Question 68
ReasoningDirection and Distance
Ridam starts from Point A and drives 45 km towards East. He then takes a right turn, drives 48 km, turns right and drives 51 km. He then takes a right turn and drives 63 km. He takes a final right turn, drives 6 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90-degree turns only, unless specified.)
- A16 km to the north
- B15 km to the South
- C17 km to the north
- D14 km to the South
Correct Answer: B
Explanation:
Option B is marked correct. For this Reasoning question on Direction and Distance, write the sequence, code, or arrangement step by step and verify the pattern before finalising the answer.
Question 69
MathematicsNumber Replacement
What will come in place of the question mark (?) in the following equation if '+' and 'â' are interchanged and 'Ã' and '÷' are interchanged? 88 â 36 à 9 + 4 ÷ 3 = ?
- A80
- B90
- C70
- D75
Correct Answer: A
Explanation:
Option A is marked correct. For this Mathematics question on Number Replacement, set up the formula or relation first, substitute the values carefully, and then compare the result with the options.
Question 70
ReasoningSyllogism
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: All golds are hives. No hive is a cow. Conclusions: (I): No gold is a cow. (II): Some cows are hives.
- AOnly conclusion (II) follows
- BOnly conclusion (I) follows
- CBoth conclusions (I) and (II) follow
- DNeither conclusion (I) nor (II) follows
Correct Answer: B
Explanation:
Statements: All golds are hives, No hive is a cow. Conclusion I: No gold is a cow (correct, as golds are hives and hives are not cows). Conclusion II: Some cows are hives (incorrect, as no hive is a cow). So, only conclusion I follows, so option B is correct.
Question 71
ReasoningCircular Arrangement
E, F, G, H, P, Q, and R, are sitting around a circular table facing the centre. Only three people sit between H and R when counted from the right of R. Q sits second to the left of R. G sits fourth to the right of Q. F is an immediate neighbour of Q. P is NOT an immediate neighbour of H. Who sits second to the right of P? 1919
- AQ
- BE
- CF
- DG
Correct Answer: B
Explanation:
From the conditions: H and R have three people between them, Q is second to the left of R, G is fourth to the right of Q, F is next to Q, P is not next to H. Arranging these, the order can be deduced as H, E, P, ..., with Q second to the left of R. The exact positions require careful placement, but the correct answer is E, indicating E sits second to the right of P based on the arrangement logic, though the detailed steps are complex and involve trial and error with the given constraints.
Question 72
ReasoningPattern Recognition
Select the triad which follows the same pattern as that followed by the two triads given below. Both triads follow the same pattern. MV-OX-QS OX-QZ-SU
- ALT-MU-OR
- BKT-MV-OR
- CKT-MV-OQ
- DLT-MV-OR
Correct Answer: C
Explanation:
The pattern involves moving forward in the alphabet. M to O is +2, V to X is +2; O to Q is +2, X to Z is +2; Q to S is +2, Z to (beyond Z) would wrap around, but here it's SU, indicating a shift of +2 letters with possible wrap. Applying this to the options, KT (+2) becomes MV, and MV (+2) becomes OQ. So, option C fits the pattern. Other options either don't maintain the +2 shift or misalign the starting point.
Question 73
ReasoningAlphabet Series
What should come in place of the question mark (?) in the given series based on the English alphabetical order? BAN EDQ HGT KJW ?
- ANZM
- BNMJ
- CNMH
- DNMZ
Correct Answer: D
Explanation:
The series progresses by adding 3 to each letter's position: BAN (B=2, A=1, N=14), EDQ (E=5, D=4, Q=17), HGT (H=8, G=7, T=20), KJW (K=11, J=10, W=23). Following this, the next should be N (14), M (13), Z (26). Option D (NMZ) matches this pattern. Other options disrupt the +3 increment in one or more letters.
Question 74
ReasoningOdd One Out
Based on the English alphabetical order, three of the following four letter-clusters are alike in a certain way and thus form a group. Which letter-cluster DOES NOT belong to that group? (Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)
- AEJLP
- BQVXB
- CVACG
- DTYBF
Correct Answer: D
Explanation:
Each letter-cluster follows a pattern of adding a certain number to the previous letter's position. EJLP: E(5) to J(10) is +5, J to L(12) is +2, L to P(16) is +4. QVXB: Q(17) to V(22) is +5, V to X(24) is +2, X to B(2) is +4 (wrapping around). VACG: V(22) to A(1) is +5 (wrapping), A to C(3) is +2, C to G(7) is +4. TYBF: T(20) to Y(25) is +5, Y to B(2) is +5 (should be +2), breaking the pattern. So, TYBF is the odd one out.
Question 75
ReasoningCoding-Decoding
In a certain code language, 'bow elk door' is coded as ' xz vo ts' and 'door mug blue' is coded as 'zj xz hf'. How is 'door' coded in the given language?
- Avo
- Bts
- Cxz
- Dzj
Correct Answer: C
Explanation:
Analyzing the given codes, 'bow elk door' becomes 'xz vo ts', and 'door mug blue' becomes 'zj xz hf'. The pattern shows 'door' is coded as 'xz'. In the third statement, 'door' would thus be coded as 'xz', so option C is correct. Other options correspond to different words in the code.
Question 76
ReasoningSeating Arrangement
All 35 students in a class are standing in a row, facing north. Veer is 14 th from the right end, while Maya is 20 th from the left end. How many people stand between Veer and Maya?
- A3
- B2
- C1
- D0
Correct Answer: C
Explanation:
Total students = 35. Veer is 14th from the right, so his position from the left is 35 - 14 + 1 = 22nd. Maya is 20th from the left. The difference is 22 - 20 = 2, but since we count the people between them, subtract 1, giving 1 person between them. Option C is correct.
Question 77
ReasoningAnalogy
Select the pair which follows the same pattern as that followed by the two pairs given below. Both pairs follow the same pattern. ADG : CFI FLR : HNT
- AMDR : SEI
- BNDR : FTS
- CVES : TEY
- DKEQ : MGS
Correct Answer: D
Explanation:
The pattern involves shifting letters: ADG to CFI. A to C (+2), D to F (+2), G to I (+2). Similarly, FLR to HNT: F to H (+2), L to N (+2), R to T (+2). Applying this to the options, KEQ to MGS: K to M (+2), E to G (+2), Q to S (+2), which matches option D. Other options do not maintain the consistent +2 shift across all letters.
Question 78
ReasoningBlood Relations
In a certain code language, A + B means 'A is the son of B', A - B means 'A is the brother of B', A x B means 'A is the wife of B' and A & B means 'A is the father of B'. How is T related to M if 'T + O - R x N & M'?
- AMother's brother
- BMother's sister's son
- CMother's brother's son
- DBrother's son
Correct Answer: C
Explanation:
Key point: decoding symbolic relationships. Starting from the innermost clue: N & M means N is the father of M. R x N means R is the wife of N, so R is the mother of M. O - R means O is the brother of R, making O the maternal uncle of M. T + O means T is the son of O. So, T is the son of M's maternal uncle, which is the mother's brother's son. Option C identifies this relationship, while other options misplace the familial connections.
Question 79
ReasoningNumber Series
Select the set in which the numbers are related in the same way as are the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 â Operations on 13 such as adding to/subtracting from/multiplying with 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (42, 14, 13.8) (54, 18, 17.8)
- A(213, 71, 69.8)
- B(255, 85, 83.8)
- C(63, 21, 20.8)
- D(126, 42, 40.8)
Correct Answer: C
Explanation:
The pattern involves two steps: first, dividing the first number by a common factor to get the second, then subtracting a fixed number to get the third. For 42, 14, 13.8: 42 ÷ 3 = 14, 14 - 0.2 = 13.8. Applying this to the options, 63 ÷ 3 = 21, 21 - 0.2 = 20.8, which matches option C. Other options do not follow this division and subtraction pattern consistently.
Question 80
ReasoningCoding-Decoding
In a certain code language, 'TMCB' is coded as '76' and 'GKIR' is coded as '90'. What is the code for 'VAPD' in that language?
- A91
- B80
- C88
- D86
Correct Answer: D
Explanation:
The code is derived by summing the positions of each letter in the alphabet. T(20) + M(13) + C(3) + B(2) = 38, but the given codes (76 for TMCB and 90 for GKIR) suggest an alternative method. Observing that T(20) + M(13) + C(3) + B(2) = 38, and 76 is double 38, while G(7) + K(11) + I(9) + R(18) = 45, and 90 is double 45. So, the code for VAPD is (22+1+16+4)*2 = 43*2 = 86, matching option D.
Question 81
Current AffairsEvents and Summits
Where was the first edition of the 'Rising North East' Investors Summit, 2025, held?
- AGuwahati
- BNew Delhi
- CMumbai
- DKolkata
Correct Answer: B
Explanation:
This checks recent events. The first edition of the 'Rising North East' Investors Summit in 2025 was held in New Delhi. This fact is crucial for current affairs, focusing on economic events in specific regions. Option B is correct as New Delhi hosts many national-level summits, while other cities are either too region-specific or not associated with this inaugural event.
Question 82
Current AffairsEnvironment and Ecology
Which of the following national parks emerged as one of the two top-performing protected areas in India, earning a Management Effectiveness Evaluation (MEE) score of 92.97%, in the assessment conducted by the Wildlife Institute of India in June 2025?
- ADachigam National Park
- BGreat Himalayan National Park
- CRanthambore National Park
- DNanda Devi National Park
Correct Answer: A
Explanation:
The question assesses awareness of recent environmental assessments. Dachigam National Park achieved a high MEE score, indicating effective management. This park, located in Jammu and Kashmir, is known for its conservation efforts, especially for the Hangul deer. Option A is correct, while other parks, though significant, did not top the 2025 evaluation as per the given data.
Question 83
Current AffairsSports and Awards
Where was the 2025 AAU Sullivan Award ceremony held?
- ALos Angeles Convention Center
- BWashington DC
- CChicago Athletic Club
- DNew York Athletic Club
Correct Answer: D
Explanation:
Option D is marked correct. For this Current Affairs question on Sports and Awards, focus on the key fact in the question and eliminate choices that do not match the event, term, person, place, or scheme mentioned.
Question 84
Current AffairsFinancial Sector Regulations
What is the significance of the 'R2 License' granted to Valueattics Reinsurance by the Insurance Regulatory and Development Authority of India (IRDAI) in March 2025?
- APreliminary approval to begin banking operations
- BRegulatory clearance to acquire foreign branches
- CLicense to sell retail insurance policies directly
- DApproval to commence reinsurance business
Correct Answer: D
Explanation:
The R2 License granted by IRDAI pertains to reinsurance operations. Option D is correct because reinsurance involves providing insurance to insurance companies, and this license specifically allows Valueattics to start such a business. Options A and B are unrelated to insurance activities, focusing on banking and foreign branches, which are regulated by different authorities like RBI. Option C refers to retail insurance sales, which is not the purpose of an R2 License.
Question 85
EconomicsForeign Direct Investment (FDI) Policy
As of May 2025, what is the maximum FDI allowed through the Automatic Route in India's defense sector for companies seeking new industrial licenses?
- A49%
- B100%
- C74%
- D51%
Correct Answer: C
Explanation:
The FDI limit in the defense sector under the Automatic Route is a key policy point. As of May 2025, the correct limit is 74% (Option C). This is part of India's efforts to attract foreign investment while maintaining strategic control. Option B (100%) would imply no restrictions, which isn't the case for defense. Options A (49%) and D (51%) are lower thresholds that apply to other sectors or older policies, not the current defense sector rules.
Question 86
Current AffairsSpace Technology
'Agnibaan - SOrTeD' (Sub-Orbital Technology Demonstrator) was launched on 30 May 2024 from India's first private launch pad called ______, established by Agnikul.
- AKawach
- BDhanush
- CPrithvi
- DTaramandal
Correct Answer: B
Explanation:
Option B is marked correct. For this Current Affairs question on Space Technology, focus on the key fact in the question and eliminate choices that do not match the event, term, person, place, or scheme mentioned.
Question 87
Current AffairsSports Events
Which Grand Prix was won by Max Verstappen in 2025?
- AJapan
- BChina
- CBahrain
- DSpain
Correct Answer: A
Explanation:
Max Verstappen's 2025 Grand Prix win in Japan (Option A) reflects his performance in the Formula One season. The Japanese Grand Prix is a significant race, and Verstappen's victory there would be notable. Options B (China), C (Bahrain), and D (Spain) host their own Grands Prix, but the question specifies the one won by Verstappen in 2025, requiring knowledge of recent race outcomes to eliminate these other choices.
Question 88
GeographyDisaster Management
Which of the following states launched a flood-hazard zonation atlas as part of new disaster tools in mid-June 2025?
- AKarnataka
- BAssam
- CBihar
- DKerala
Correct Answer: B
Explanation:
Assam (Option B) launched a flood-hazard atlas in mid-June 2025, which aligns with the state's vulnerability to floods due to its topography and monsoon patterns. Karnataka (A) and Bihar (C) also face flooding but weren't the ones introducing this specific tool in the given timeframe. Kerala (D) is more associated with landslides and monsoon-related disasters, making Assam the clear choice for flood-hazard initiatives.
Question 89
Current AffairsInternational Events
Where and when were the 2025 Juno Awards hosted?
- AVancouver, March 30
- BOttawa, March 25
- CMontreal, May 5
- DToronto, April 15
Correct Answer: A
Explanation:
Option A is marked correct. For this Current Affairs question on International Events, focus on the key fact in the question and eliminate choices that do not match the event, term, person, place, or scheme mentioned.
Question 90
PolityIndian Constitution - Financial Bills
Under which Article of the Indian Constitution has the Appropriation Bill (No.2), 2025, been passed in Parliament?
- AArticle 118
- BArticle 114
- CArticle 119
- DArticle 117
Correct Answer: B
Explanation:
The Appropriation Bill is covered under Article 114 of the Indian Constitution, which deals with the withdrawal of money from the Consolidated Fund of India. This article specifically requires that such a bill be passed by Parliament. Article 118 pertains to the rules of procedure in Parliament, while Article 117 covers the definition of a money bill. So, the correct answer is Article 114.
Question 91
Current AffairsGlobal Indices and Rankings
In the Global Innovation Index, 2025, India ranked first among which group of economies?
- ALower-middle income economies
- BHigh-income economies
- CLeast developed economies
- DUpper-middle income economies
Correct Answer: A
Explanation:
Option A is marked correct. For this Current Affairs question on Global Indices and Rankings, focus on the key fact in the question and eliminate choices that do not match the event, term, person, place, or scheme mentioned.
Question 92
Current AffairsNational Events and Schemes
In 2025, which of the following cities hosted the 5 th edition of Lok Samvardhan Parv organised by the Ministry of Minority Affairs?
- ALucknow, Uttar Pradesh
- BKochi, Kerala
- CBhopal, Madhya Pradesh
- DJaipur, Rajasthan
Correct Answer: B
Explanation:
The Lok Samvardhan Parv is organized by the Ministry of Minority Affairs to promote social harmony. In 2025, Kochi, Kerala, hosted the 5th edition. While Lucknow (A), Bhopal (C), and Jaipur (D) are notable cities, the specific event in question was held in Kochi, making option B the correct choice.
Question 93
HistoryIndian National Movement
Which of the following revolutionary books was authored by Veer Savarkar in 1923, whose birth anniversary was commemorated on 28th May 2025?
- AMy Experiments with Truth
- BThe Discovery of India
- CHindutva: Who is a Hindu?
- DIndia Wins Freedom
Correct Answer: C
Explanation:
Veer Savarkar authored 'Hindutva: Who is a Hindu?' in 1923, a key text in nationalist thought. 'My Experiments with Truth' (A) is by Gandhi, 'The Discovery of India' (B) by Nehru, and 'India Wins Freedom' (D) by Abul Kalam Azad. The correct answer is C, as it directly relates to Savarkar's work.
Question 94
EconomicsIndian Economy - Growth Rates
What was the agriculture growth rate forecast for India in FY 2025 as per the Economic Survey 2024â25, released in January 2025?
- A2.5%
- B5.2%
- C3.8%
- D4.5%
Correct Answer: C
Explanation:
The Economic Survey 2024-25 projected India's agriculture growth rate at 3.8%. This figure (C) reflects the sector's performance, considering factors like monsoons and policy support. Options A (2.5%) and D (4.5%) are lower and higher bounds, respectively, while B (5.2%) might relate to other sectors or years, making C the accurate choice.
Question 95
Current AffairsSports and Youth Development
Which of the following initiatives supports athletes' training for Olympics and Paralympics as of 2025?
- ANational Sports Fund
- BTarget Olympic Podium Scheme
- CGo and Play scheme
- DCome and Play Scheme
Correct Answer: B
Explanation:
The Target Olympic Podium Scheme (TOPS) supports athletes preparing for the Olympics and Paralympics. Launched to enhance India's medal tally, it provides financial and logistical assistance. The National Sports Fund (A) and 'Come and Play' (D) schemes are broader initiatives, while 'Go and Play' (C) is not a recognized Olympic support program, confirming B as correct.
Question 96
Current AffairsEntertainment & Media
Which veteran Indian actor-director, known as 'Bharat Kumar' for his patriotic films, passed away on 4 April 2025?
- AAmitabh Bachchan
- BDilip Kumar
- CManoj Kumar
- DRajesh Khanna
Correct Answer: C
Explanation:
The answer depends on a veteran Indian actor-director known as 'Bharat Kumar' who passed away on 4 April 2025. Manoj Kumar is the answer. Manoj Kumar was famously called 'Bharat Kumar' due to his patriotic films like 'Upkar' and 'Purab Aur Paschim'. Amitabh Bachchan and Rajesh Khanna were not associated with this title, and Dilip Kumar, though a legendary actor, was known as the 'Tragedy King', not 'Bharat Kumar'. This distinction helps eliminate the other choices.
Question 97
Current AffairsEconomic Scams
What was the estimated loss of revenue to the government of Delhi due to the Liquor Policy Scam as per CAG report of 2025?
- Aâ¹5,000 crores
- Bâ¹10,000 crores
- Câ¹20,000 crores
- Dâ¹2,000 crores
Correct Answer: D
Explanation:
The question pertains to the estimated revenue loss to the Delhi government from the Liquor Policy Scam as per the 2025 CAG report. The correct answer is â¹2,000 crores. The CAG report specifically quantified the loss at â¹2,000 crores, which directly matches option D. Options A, B, and C present higher figures (â¹5,000, â¹10,000, and â¹20,000 crores) that are not supported by the report, making them incorrect. Recognizing the exact figure from the report is crucial here.
Question 98
Current AffairsEnvironmental Policies
The Greenhouse Gases Emission Intensity Target Rules, 2025, targets the specify values for which of the following compliance years?
- A2026â27 and 2027â28
- B2030â31 and 2035â36
- C2027â28 and 2028â29
- D2025â26 and 2026â27
Correct Answer: D
Explanation:
This question concerns the compliance years targeted by the Greenhouse Gases Emission Intensity Target Rules, 2025. The correct answer specifies 2025-26 and 2026-27. These years are the initial compliance periods under the rules, allowing industries time to adjust. Options A and C include years beyond the immediate scope (e.g., 2027-28, 2028-29), which are not the primary focus of the 2025 rules. Option B refers to later targets (2030-31, 2035-36), which are part of long-term goals but not the specific compliance years mentioned in the 2025 rules.
Question 99
Current AffairsInternational Events
The Indian Council of Arbitration (ICA) convened a Symposium-cum-Roundtable on 'Bridging Markets, Resolving Disputes via ADR in the IndiaâSingapore Corridor' during which event?
- AIndia Legal Week 2025
- BInternational Arbitration Summit 2025
- CSingapore Convention Week 2025
- DMediation Week 2025
Correct Answer: C
Explanation:
The answer depends on the event where the Indian Council of Arbitration convened a symposium on ADR in the India-Singapore Corridor. the Singapore Convention Week 2025 is the answer. This event aligns with the theme of international arbitration and dispute resolution, particularly highlighting the Singapore Convention on Mediation. The other options, such as India Legal Week or Mediation Week, are either too generic or not specifically focused on the India-Singapore corridor, making them less relevant.
Question 100
Current AffairsSports Events
Where was the second phase of the Khelo India Winter Games, 2025, held?
- AAuli, Uttarakhand
- BZanskar Valley, Ladakh
- CLeh, Ladakh
- DGulmarg, Jammu and Kashmir "
Correct Answer: D
Explanation:
The question inquires about the venue of the second phase of the Khelo India Winter Games 2025. Gulmarg, Jammu and Kashmir is the answer. Gulmarg is a well-known winter sports destination in India, regularly hosting such events. While Auli (Uttarakhand) and Ladakh (Zanskar Valley, Leh) are also cold-weather locations, the specific mention of the 'second phase' in 2025 corresponds to Gulmarg, which has the infrastructure for winter games. This eliminates the other options based on the event's logistics and past hosting patterns.
Question 96
Current AffairsNational Institutions
How many years of service is the IMD celebrating in 2025?
- A100 years
- B150 years
- C125 years
- D175 years
Correct Answer: B
Explanation:
This checks institutional milestones. The IMD (India Meteorological Department) was established in 1875, making 2025 its 150th year. Option B (150 years) directly matches this calculation (2025 - 1875 = 150). Other options (A, C, D) do not align with the founding year, emphasizing the need to recall specific establishment dates of key Indian institutions.
Question 97
PhysicsMagnetism
A single-turn coil of radius R produces a magnetic field B at its centre. If the same wire is wound into a coil of n turns (each of radius R/n) carrying the same current I, what will be the value of the new field at the centre?
- An2B
- BB/n
- CB
- Dn B
Correct Answer: A
Explanation:
The magnetic field at the center of a coil is given by B = (μâNI)/(2R), where N is the number of turns. Initially, B = μâI/(2R) for a single turn (N=1). When wound into n turns with radius R/n, the new field B' = μânI/(2(R/n)) = μân²I/(2R) = n²B. So, option A is correct. Option D incorrectly suggests a linear increase with n, neglecting the inverse dependence on radius. Options B and C fail to account for the squared relationship between turns and field strength.
Question 98
ReasoningCircular Arrangement
A, B, C, D, E and F are sitting around a circular table, facing the centre. A and D are immediate neighbours of C. E is to the immediate left of D. A and F are not immediate neighbours. Who sits third to the right of A?
- AE
- BF
- CB
- DD
Correct Answer: A
Explanation:
A and D are neighbours of C. E is left of D. A and F are not neighbours. Possible arrangement (clockwise): A, C, D, E, B, F. Third to the right of A is E. Option A is correct as it identifies E's position relative to A.
Question 99
Current AffairsEnvironmental Initiatives
Which Indian city's government conducted the first cloud seeding flight trial in October 2025 to combat severe air pollution?
- ADelhi
- BMumbai
- CJaipur
- DLucknow
Correct Answer: A
Explanation:
Delhi conducted the first cloud seeding flight trial in October 2025 to address air pollution. This initiative is part of measures to mitigate severe air quality issues in the capital. Other cities listed (Mumbai, Jaipur, Lucknow) are not associated with this specific trial. Knowing major environmental projects undertaken by Indian cities is essential for current affairs questions.
Question 100
MathematicsWork and Time
X people were given a contract for doing a piece of work in 28 days. 5 people did not turn up to work due to sickness, and the rest of the people completed the work in 30 days. What is the value of X?
- A65
- B74
- C75
- D82
Correct Answer: C
Explanation:
Let X be the original number of people. Work = X*28 = (X-5)*30. Solving, 28X = 30X - 150 â 2X = 150 â X = 75. Option C is correct because reducing the workforce increases the time proportionally, maintaining the work constant.