IAT 2025 Question Paper

IAT 2025 Question Paper

Marking Scheme: +4 Correct | -1 Incorrect | 0 Unattempted

Q1. (Physics) A ball is projected vertically upward with speed 30 m/s. Neglect air resistance. The time taken to return to the point of projection is:

(A) 3 s

(B) 4 s

(C) 5 s

(D) 6 s

Answer: (D)
Total time = 2u/g = 2×30/10 = 6 s.

Q2. (Chemistry) Which species has the maximum number of unpaired electrons?

(A) Fe²⁺

(B) Fe³⁺

(C) Mn²⁺

(D) Cu²⁺

Answer: (C)
Mn²⁺ = 3d⁵ configuration → maximum unpaired electrons.

Q3. (Mathematics) If sin θ = 3/5 and θ lies in first quadrant, then cos θ is:

(A) 4/5

(B) 3/4

(C) 5/4

(D) 2/5

Answer: (A)
cos²θ = 1 − sin²θ = 1 − 9/25 = 16/25 ⇒ cos θ = 4/5.

Q4. (Biology) The functional unit of kidney is:

(A) Neuron

(B) Alveoli

(C) Nephron

(D) Glomerulus

Answer: (C)
Nephron is the structural and functional unit of kidney.

Q5. (Physics) Escape velocity from Earth is approximately:

(A) 7.9 km/s

(B) 9.8 km/s

(C) 11.2 km/s

(D) 15 km/s

Answer: (C)
Escape velocity of Earth ≈ 11.2 km/s.

Q6. (Chemistry) The hybridization of carbon in ethene (C₂H₄) is:

(A) sp

(B) sp²

(C) sp³

(D) dsp²

Answer: (B)
Each carbon forms three sigma bonds → sp² hybridization.

Q7. (Mathematics) The derivative of x³ is:

(A) x²

(B) 2x

(C) 3x²

(D) 3x

Answer: (C)
d(x³)/dx = 3x².

Q8. (Biology) DNA replication occurs during which phase?

(A) G1

(B) S

(C) G2

(D) M

Answer: (C)
Genes are the fundamental units of heredity.

Q9. (Physics) SI unit of electric field is:

(A) Joule

(B) Newton/Coulomb

(C) Coulomb/Newton

(D) Volt

Answer: (B)
Electric field unit = N/C.

Q10. (Chemistry) pH of a neutral solution at 25°C is:

(A) 0

(B) 5

(C) 7

(D) 14

Answer: (C)
Neutral solution has pH = 7.

Q11. (Mathematics) If log₂(8) = x, then x equals:

(A) 2

(B) 3

(C) 4

(D) 8

Answer: (B)
Since 2³ = 8, therefore log₂(8) = 3.

Q12. (Biology) Which organelle is known as the powerhouse of the cell?

(A) Ribosome

(B) Golgi body

(C) Mitochondria

(D) Nucleus

Answer: (C)
Mitochondria generate ATP and are called the powerhouse of the cell.

Q13. (Physics) The dimensional formula of force is:

(A) MLT⁻¹

(B) MLT⁻²

(C) ML²T⁻²

(D) ML⁻¹T⁻²

Answer: (B)
Force = mass × acceleration = M × LT⁻² = MLT⁻².

Q14. (Chemistry) Which gas is most abundant in Earth’s atmosphere?

(A) Oxygen

(B) Carbon dioxide

(C) Nitrogen

(D) Hydrogen

Answer: (C)
Nitrogen constitutes about 78% of Earth’s atmosphere.

Q15. (Mathematics) The value of tan 45° is:

(A) 0

(B) 1

(C) √3

(D) Undefined

Answer: (B)
tan 45° = 1.

Q16. (Biology) Which pigment is responsible for photosynthesis?

(A) Hemoglobin

(B) Chlorophyll

(C) Melanin

(D) Keratin

Answer: (B)
Chlorophyll absorbs sunlight required for photosynthesis.

Q17. (Physics) A body moving with constant velocity has:

(A) Constant acceleration

(B) Zero acceleration

(C) Increasing acceleration

(D) Infinite acceleration

Answer: (B)
Constant velocity means no change in velocity, so acceleration is zero.

Q18. (Chemistry) Avogadro number is:

(A) 6.022 × 10²³

(B) 3 × 10⁸

(C) 9.8

(D) 1.6 × 10⁻¹⁹

Answer: (A)
Avogadro constant = 6.022 × 10²³ particles/mol.

Q19. (Mathematics) The sum of angles in a triangle is:

(A) 90°

(B) 180°

(C) 270°

(D) 360°

Answer: (B)
The interior angle sum of a triangle is 180°.

Q20. (Biology) The basic unit of heredity is:

(A) Cell

(B) Tissue

(C) Gene

(D) Chromosome

Q21. (Physics) A car accelerates uniformly from rest to 20 m/s in 5 s. Acceleration is:

(A) 2 m/s²

(B) 4 m/s²

(C) 5 m/s²

(D) 10 m/s²

Answer: (B)
a = (v−u)/t = (20−0)/5 = 4 m/s².

Q22. (Chemistry) Which among the following is the strongest acid?

(A) HCl

(B) CH₃COOH

(C) H₂CO₃

(D) H₂O

Answer: (A)
HCl completely ionizes in water and is a strong acid.

Q23. (Mathematics) If x² − 9 = 0, the roots are:

(A) ±2

(B) ±3

(C) ±9

(D) 0

Answer: (B)
x² = 9 ⇒ x = ±3.

Q24. (Biology) The site of protein synthesis is:

(A) Nucleus

(B) Ribosome

(C) Lysosome

(D) Vacuole

Answer: (B)
Proteins are synthesized by ribosomes.

Q25. (Physics) SI unit of work is:

(A) Watt

(B) Joule

(C) Newton

(D) Pascal

Answer: (B)
Work is measured in joules.

Q26. (Chemistry) Which of the following is an alkali metal?

(A) Mg

(B) Ca

(C) Na

(D) Al

Answer: (C)
Sodium belongs to Group 1 (alkali metals).

Q27. (Mathematics) The value of cos 0° is:

(A) 0

(B) 1

(C) −1

(D) Undefined

Answer: (B)
cos 0° = 1.

Q28. (Biology) Which blood group is universal donor?

(A) A

(B) B

(C) AB

(D) O

Answer: (D)
Blood group O is universal donor.

Q29. (Physics) Power is defined as:

(A) Force × distance

(B) Work/time

(C) Energy × time

(D) Mass × acceleration

Answer: (B)
Power = Work done / Time.

Q30. (Chemistry) Atomic number of carbon is:

(A) 4

(B) 6

(C) 8

(D) 12

Answer: (B)
Carbon has atomic number 6.

Q31. (Mathematics) Integral of 1 dx is:

(A) x

(B) x²

(C) 1

(D) 0

Answer: (A)
∫1 dx = x + C.

Q32. (Biology) Which vitamin is synthesized in sunlight?

(A) Vitamin A

(B) Vitamin B12

(C) Vitamin C

(D) Vitamin D

Answer: (D)
Vitamin D is synthesized in skin under sunlight.

Q33. (Physics) Speed of light in vacuum is:

(A) 3 × 10⁸ m/s

(B) 3 × 10⁶ m/s

(C) 3 × 10⁵ km/s

(D) Both A and C

Answer: (D)
3 × 10⁸ m/s = 3 × 10⁵ km/s.

Q34. (Chemistry) p-block elements are present in:

(A) Group 1–2

(B) Group 13–18

(C) Group 3–12

(D) Lanthanides

Answer: (B)
p-block includes Groups 13–18.

Q35. (Mathematics) The slope of y = 2x + 3 is:

(A) 2

(B) 3

(C) 5

(D) 1

Answer: (A)
In y = mx + c, slope = m = 2.

Q36. (Biology) Genetic material in most organisms is:

(A) RNA

(B) Protein

(C) DNA

(D) Lipid

Answer: (C)
DNA is the genetic material in most organisms.

Q37. (Physics) Unit of frequency is:

(A) Newton

(B) Joule

(C) Hertz

(D) Volt

Answer: (C)
Frequency is measured in hertz (Hz).

Q38. (Chemistry) Which bond is strongest?

(A) Single

(B) Double

(C) Triple

(D) Hydrogen

Answer: (C)
Triple bonds have maximum bond strength.

Q39. (Mathematics) π approximately equals:

(A) 2.14

(B) 3.14

(C) 4.13

(D) 1.34

Answer: (B)
π ≈ 3.14.

Q40. (Biology) Human heart has how many chambers?

(A) 2

(B) 3

(C) 4

(D) 5