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
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⁺
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
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
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
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
Each carbon forms three sigma bonds → sp² hybridization.
Q7. (Mathematics) The derivative of x³ is:
(A) x²
(B) 2x
(C) 3x²
(D) 3x
d(x³)/dx = 3x².
Q8. (Biology) DNA replication occurs during which phase?
(A) G1
(B) S
(C) G2
(D) M
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
Electric field unit = N/C.
Q10. (Chemistry) pH of a neutral solution at 25°C is:
(A) 0
(B) 5
(C) 7
(D) 14
Neutral solution has pH = 7.
Q11. (Mathematics) If log₂(8) = x, then x equals:
(A) 2
(B) 3
(C) 4
(D) 8
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
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
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
Nitrogen constitutes about 78% of Earth’s atmosphere.
Q15. (Mathematics) The value of tan 45° is:
(A) 0
(B) 1
(C) √3
(D) Undefined
tan 45° = 1.
Q16. (Biology) Which pigment is responsible for photosynthesis?
(A) Hemoglobin
(B) Chlorophyll
(C) Melanin
(D) Keratin
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
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
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°
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
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
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
x² = 9 ⇒ x = ±3.
Q24. (Biology) The site of protein synthesis is:
(A) Nucleus
(B) Ribosome
(C) Lysosome
(D) Vacuole
Proteins are synthesized by ribosomes.
Q25. (Physics) SI unit of work is:
(A) Watt
(B) Joule
(C) Newton
(D) Pascal
Work is measured in joules.
Q26. (Chemistry) Which of the following is an alkali metal?
(A) Mg
(B) Ca
(C) Na
(D) Al
Sodium belongs to Group 1 (alkali metals).
Q27. (Mathematics) The value of cos 0° is:
(A) 0
(B) 1
(C) −1
(D) Undefined
cos 0° = 1.
Q28. (Biology) Which blood group is universal donor?
(A) A
(B) B
(C) AB
(D) O
Blood group O is universal donor.
Q29. (Physics) Power is defined as:
(A) Force × distance
(B) Work/time
(C) Energy × time
(D) Mass × acceleration
Power = Work done / Time.
Q30. (Chemistry) Atomic number of carbon is:
(A) 4
(B) 6
(C) 8
(D) 12
Carbon has atomic number 6.
Q31. (Mathematics) Integral of 1 dx is:
(A) x
(B) x²
(C) 1
(D) 0
∫1 dx = x + C.
Q32. (Biology) Which vitamin is synthesized in sunlight?
(A) Vitamin A
(B) Vitamin B12
(C) Vitamin C
(D) Vitamin 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
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
p-block includes Groups 13–18.
Q35. (Mathematics) The slope of y = 2x + 3 is:
(A) 2
(B) 3
(C) 5
(D) 1
In y = mx + c, slope = m = 2.
Q36. (Biology) Genetic material in most organisms is:
(A) RNA
(B) Protein
(C) DNA
(D) Lipid
DNA is the genetic material in most organisms.
Q37. (Physics) Unit of frequency is:
(A) Newton
(B) Joule
(C) Hertz
(D) Volt
Frequency is measured in hertz (Hz).
Q38. (Chemistry) Which bond is strongest?
(A) Single
(B) Double
(C) Triple
(D) Hydrogen
Triple bonds have maximum bond strength.
Q39. (Mathematics) π approximately equals:
(A) 2.14
(B) 3.14
(C) 4.13
(D) 1.34
π ≈ 3.14.
IAT Mock Test 2026 – Part 1
Marking Scheme: +4 Correct | -1 Incorrect | 0 Unattempted
Q1. A particle moves in a straight line such that its displacement is given by x = t³ − 6t² + 9t + 4. At what time is its velocity zero?
(A) 1 s
(B) 2 s
(C) 3 s
(D) Both A and C
v = dx/dt = 3t² − 12t + 9 = 3(t−1)(t−3). Therefore velocity is zero at t = 1 s and 3 s.
Q2. The number of stereoisomers possible for a compound with two chiral centers is:
(A) 2
(B) 4
(C) 6
(D) 8
Maximum stereoisomers = 2ⁿ, where n = number of chiral centers. Hence 2² = 4.
Q3. If z = 1 + i√3, then the principal argument of z is:
(A) π/6
(B) π/3
(C) π/2
(D) 2π/3
tan θ = √3/1 = √3, first quadrant ⇒ θ = π/3.
Q4. A wire of resistance R is stretched to double its original length. The new resistance becomes:
(A) R/2
(B) R
(C) 2R
(D) 4R
On stretching to double length, area becomes half. R ∝ L/A ⇒ R' = (2L)/(A/2) = 4R.
Q5. Which species has maximum bond angle?
(A) NH₃
(B) H₂O
(C) CH₄
(D) BF₃
BF₃ is trigonal planar with 120° bond angle, maximum among given options.