Sample PYQs from this paper with answers and explanations — sign in for the full paper in the app.
Question 1 General Science
Which of the following statements is correct?
- A. Work done can only be negative.
- B. Work done can be positive or negative depending on the direction of force.
- C. Work done does not depend on force or displacement.
- D. Work done can only be positive.
Correct answer: B. Work done can be positive or negative depending on the direction of force.
Correct answer (Option B):\nWork done is a scalar quantity defined mathematically by the expression:\nW = F × d × cos(θ)\nWhere F is the applied force, d is the displacement vector, and θ is the angle between the force and displacement vectors. When the applied force has a component in the direction of the displacement (θ is acute), the work done is positive. Conversely, when the force opposes the motion (θ is obtuse), such as the force of friction acting against a moving body, the work done is evaluated as negative. Therefore, work done can be either positive or negative based on the directional relationship.\n\nWhy others are wrong:\nOption A is wrong because work is positive when pushing an object forward. Option D is incorrect because frictional force regularly performs negative work on moving components. Option C is wrong because the formula explicitly depends on both force and displacement magnitudes.\n\nStudy tip:\nKeep track of the angle θ. If θ = 90°, cos(90°) = 0, meaning zero work is performed by that specific force, such as centripetal force acting on a satellite.
Question 2 General Science
Through which method of cell division are the diploid chromosomes divided into haploid gametes?
- A. Mitosis
- B. Binary Fission
- C. Amitosis
- D. Meiosis
Correct answer: D. Meiosis
Correct answer (Option D):\nMeiosis is a specialized type of cell division that reduces the chromosome number by half, creating four haploid daughter cells from a single diploid parent cell. This essential reduction process occurs over two successive nuclear divisions termed Meiosis I and Meiosis II. It is vital for sexual reproduction as it ensures that when haploid gametes (sperm and egg) fuse during fertilization, the resulting zygote recovers its normal diploid number.\n\nWhy others are wrong:\nOption A is incorrect because mitosis is an equational division process where diploid parent cells yield identical diploid daughter cells. Option B and Option C describe simpler forms of vegetative or asexual division typical of prokaryotes and unicellular eukaryotes that do not generate specialized gametes.\n\nStudy tip:\nRemember that genetic recombination occurs exclusively during Prophase I of Meiosis via crossing over, which introduces variation among offspring.
Question 3 General Science
The power of a lens is defined as:
- A. The reciprocal of its focal length in meters
- B. The ratio of image distance to object distance
- C. The product of its focal length and refractive index
- D. The square of its focal length
Correct answer: A. The reciprocal of its focal length in meters
Correct answer (Option A):\nThe power of a lens measures its degree of convergence or divergence of light rays hitting its surface. It is mathematically defined as the reciprocal of its focal length measured specifically in meters.\nFormula: P = 1 / f (where f is in meters)\nThe SI unit for lens power is the Diopter (D), which corresponds to m⁻¹.\n\nWhy others are wrong:\nOption B describes the linear magnification of a lens rather than its structural refractive power. Option C and Option D propose mathematically incorrect formulations that do not correspond to any standard physiological metric used in lens optics.\n\nStudy tip:\nA convex lens has a positive focal length and thus a positive power, while a concave lens possesses a negative focal length resulting in negative power.
Question 4 General Science
When a thick glass slab is placed over printed matter, the letters appear raised. This is due to
- A. Scattering of light
- B. Refraction of light
- C. Total internal reflection
- D. Polarization of light
Correct answer: B. Refraction of light
Correct answer (Option B):\nThe apparent upward displacement of letters under a thick glass slab is caused directly by the refraction of light. When light rays carrying the visual information of the print leave the optically denser glass medium and enter the optically rarer medium (air), they bend away from the normal line at the boundary interface. When our eyes trace these emergent rays back linearly, they form a virtual image that is shallower than the true object location, causing the text to look raised.\n\nWhy others are wrong:\nOption A involves light dispersing in random directions due to small particles. Option C requires light to travel past a critical angle inside a dense medium to reflect completely inwards. Option D describes restricting light oscillations to a single plane.\n\nStudy tip:\nThe shift distance can be calculated using the formula:\nShift = Real Depth × (1 - 1/μ), where μ is the refractive index of the slab.
Question 5 General Science
The motion of a satellite orbiting the Earth in a circular path at constant speed is a classic example of uniform circular motion. What property of this motion prevents its acceleration from being zero?
- A. The total mechanical energy is conserved, necessitating acceleration.
- B. The direction of motion changes continuously at every point, meaning the velocity is changing.
- C. The object's mass continually changes due to orbital dynamics.
- D. The speed is too high for the gravitational force to sustain a constant velocity.
Correct answer: B. The direction of motion changes continuously at every point, meaning the velocity is changing.
Correct answer (Option B):\nVelocity is a structural vector quantity that incorporates both numerical speed and spatial direction. In a uniform circular orbit, while the overall speed of the satellite remains strictly constant, its directional vector is modified continuously at every point along the circular arc. This continuous directional modification means the velocity vector changes over time, which establishes a non-zero centripetal acceleration acting toward the center of rotation.\n\nWhy others are wrong:\nOption A refers to energy conservation, which does not dictate whether acceleration must be zero or non-zero. Option C is factually incorrect as the satellite's physical mass does not alter along its path. Option D presents a false dynamic relation regarding gravitational capacity.\n\nStudy tip:\nIn any uniform circular motion, the acceleration vector is always perpendicular to the velocity vector at any given moment, which changes direction without altering speed.