IISER Aptitude Test (IAT) Exam Pattern

Feature	Details
Mode	Online Computer-Based Test (CBT)
Duration	180 minutes (3 hours)
Total Questions	60
Total Marks	60
Type of Questions	Multiple Choice Questions (MCQs)
Marking Scheme	+1 for correct, 0 for incorrect (no negative marking)
Subjects	Physics, Chemistry, Mathematics, Biology
Questions per Subject	15 each
Language	English

Subject	Number of Questions	Topics Covered
Physics	15	Mechanics, Electricity & Magnetism, Optics, Thermodynamics, Modern Physics
Chemistry	15	Physical, Organic, Inorganic, General Chemistry
Mathematics	15	Algebra, Calculus, Trigonometry, Probability, Vectors
Biology	15	Genetics, Cell Biology, Ecology, Human Physiology, Plant Physiology

IISER Aptitude Test Mock Test

Total Questions: 60 | Duration: 3 Hours | Mode: CBT | No Negative Marking

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Section 1 – Physics (Q1–15)

Q1

A particle moves along a straight line with acceleration $a(t) = 6t$a(t)=6t m/s². If the particle starts from rest, its velocity at $t = 2$t=2 s is:

A. 2 m/s
B. 6 m/s
C. 12 m/s
D. 8 m/s

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Q2

Two identical springs, each of force constant $k$k, are connected in series. The effective force constant of the combination is:

A. $k/2$k/2
B. $2k$2k
C. $k$k
D. $k/4$k/4

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Q3

A block slides down a frictionless incline of angle 30° and length 5 m. Its speed at the bottom is:

A. $\sqrt{5g}$5g​ m/s
B. $\sqrt{10g}$10g​ m/s
C. $\sqrt{5g/2}$5g/2​ m/s
D. $\sqrt{g/2}$g/2​ m/s

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Q4

A wire carries a current $I$I and lies in a magnetic field $B$B perpendicular to it. The force on the wire is:

A. $IB$IB
B. $IBL$IBL
C. $IB/L$IB/L
D. $I/B$I/B

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Q5

The time period of a simple pendulum is independent of:

A. Length
B. Mass
C. Gravity
D. Amplitude (for small angles)

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Q6

A concave mirror forms a real image at 20 cm when the object is at 30 cm. The focal length is:

A. 12 cm
B. 60 cm
C. 30 cm
D. 10 cm

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Q7

In an RC circuit, the time constant $\tau = RC$τ=RC represents:

A. Time for full charge
B. Time for voltage to rise to 63% of final value
C. Time for voltage to fall to 50% of final value
D. None of the above

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Q8

Two capacitors $C_1 = 4\,\mu F$C1​=4μF and $C_2 = 6\,\mu F$C2​=6μF are connected in parallel. The equivalent capacitance is:

A. 10 μF
B. 2.4 μF
C. 12 μF
D. 1.5 μF

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Q9

A projectile is fired at 45° with speed $v_0$v0​. Its maximum height is:

A. $v_0^2/2g$v02​/2g
B. $v_0^2/g$v02​/g
C. $v_0^2/4g$v02​/4g
D. $v_0^2/8g$v02​/8g

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Q10

A 2 kg mass moving at 3 m/s collides elastically with a stationary 1 kg mass. The velocity of the 1 kg mass after collision is:

A. 1 m/s
B. 5 m/s
C. 3 m/s
D. 4 m/s

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Q11

A wave has displacement $y = 0.05 \sin(20\pi t – 0.1x)$y=0.05sin(20πt−0.1x). Its frequency is:

A. 10 Hz
B. 5 Hz
C. 20 Hz
D. 50 Hz

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Q12

A gas expands isothermally from 2 L to 4 L at 300 K. Work done on the gas is:

A. $0$0
B. $nRT \ln 2$nRTln2
C. $nRT \ln(1/2)$nRTln(1/2)
D. $2 nRT$2nRT

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Q13

The escape velocity from Earth is independent of:

A. Mass of the object
B. Radius of Earth
C. Mass of Earth
D. Gravitational constant

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Q14

A 50 W resistor is connected across 100 V. Current through it is:

A. 0.5 A
B. 2 A
C. 1 A
D. 0.25 A

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Q15

Two identical masses are attached to a spring in SHM with amplitude $A$A. Maximum kinetic energy is:

A. $m\omega^2 A^2/2$mω2A2/2
B. $2 m \omega^2 A^2$2mω2A2
C. $m \omega^2 A^2$mω2A2
D. $4 m \omega^2 A^2$4mω2A2

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Section 2 – Chemistry (Q16–30)

Q16

Which of the following has the highest electronegativity?

A. F
B. O
C. N
D. Cl

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Q17

Which molecule is planar?

A. CH₄
B. CO₂
C. NH₃
D. H₂O

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Q18

Rate law for a reaction $2A + B → C$2A+B→C is $r = k[A][B]^2$r=k[A][B]2. The order of reaction is:

A. 1
B. 2
C. 3
D. 4

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Q19

Which has the highest lattice energy?

A. NaCl
B. MgO
C. KBr
D. LiF

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Q20

pH of 0.01 M HCl is:

A. 2
B. 1
C. 3
D. 4

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Q21

Which of the following is least reactive towards SN2 reaction?

A. CH₃Br
B. C₂H₅Br
C. (CH₃)₃CBr
D. C₆H₅Br

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Q22

Which gas is released when NaHCO₃ reacts with HCl?

A. CO
B. CO₂
C. H₂
D. O₂

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Q23

The hybridization of central atom in SF₆ is:

A. sp³
B. sp³d²
C. sp³d
D. sp²

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Q24

Which is an aromatic compound?

A. Cyclohexane
B. Benzene
C. Cyclobutadiene
D. Cyclopentene

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Q25

Which has the highest boiling point?

A. CH₄
B. H₂O
C. NH₃
D. HF

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Q26

Which of the following is paramagnetic?

A. O₂
B. N₂
C. CO₂
D. H₂

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Q27

Which is an example of a strong acid?

A. HClO
B. H₂SO₄
C. CH₃COOH
D. HCN

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Q28

The number of moles in 22.4 L of ideal gas at STP is:

A. 0.5
B. 1
C. 2
D. 1.5

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Q29

Which of the following is a reducing sugar?

A. Sucrose
B. Glucose
C. Starch
D. Cellulose

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Q30

Which is a common oxidizing agent in organic reactions?

A. KMnO₄
B. NaBH₄
C. LiAlH₄
D. Zn/HCl

Section 3 – Mathematics (Q31–45)

Q31

If $f(x) = x^2 – 3x + 2$f(x)=x2−3x+2, the value of $f(1) + f(2) + f(3)$f(1)+f(2)+f(3) is:

A. 2
B. 3
C. 4
D. 5

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Q32

The derivative of $\sin x^2$sinx2 with respect to $x$x is:

A. $2x \cos x^2$2xcosx2
B. $\cos x^2$cosx2
C. $-2x \cos x^2$−2xcosx2
D. $\sin x^2$sinx2

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Q33

If the sum of first $n$n natural numbers is 210, then $n$n is:

A. 20
B. 21
C. 19
D. 15

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Q34

The roots of $x^2 – 5x + 6 = 0$x2−5x+6=0 are:

A. 2, 3
B. 1, 6
C. -2, -3
D. 3, 4

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Q35

If $y = e^{2x}$y=e2x, then $\frac{dy}{dx} = ?$dxdy​=?

A. $2e^{2x}$2e2x
B. $e^{2x}$e2x
C. $4 e^{2x}$4e2x
D. $e^{x}$ex

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Q36

The integral $\int_0^1 x dx$∫01​xdx is:

A. 1
B. 0.5
C. 2
D. 0

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Q37

If $A = \begin{pmatrix}1 & 2 \\ 3 & 4\end{pmatrix}$A=(13​24​), then $\det A$detA is:

A. -2
B. 2
C. -1
D. 1

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Q38

The sum of the first 10 terms of an AP with first term 2 and common difference 3 is:

A. 145
B. 140
C. 150
D. 155

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Q39

The probability of getting a sum of 8 when two dice are rolled is:

A. 5/36
B. 7/36
C. 1/6
D. 1/8

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Q40

The equation of a line passing through (1,2) with slope 3 is:

A. $y = 3x + 2$y=3x+2
B. $y = 3x -1$y=3x−1
C. $y = 3x -1$y=3x−1
D. $y = 2x + 3$y=2x+3

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Q41

The solution to $\frac{dy}{dx} = 3x^2$dxdy​=3×2 with $y(0)=1$y(0)=1 is:

A. $y = x^3 + 1$y=x3+1
B. $y = 3x^2 + 1$y=3×2+1
C. $y = x^3 + 3$y=x3+3
D. $y = x^3$y=x3

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Q42

If $z = 3 + 4i$z=3+4i, $|z|$∣z∣ is:

A. 5
B. 7
C. 1
D. $\sqrt{7}$7​

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Q43

The area under $y=x$y=x from $x=0$x=0 to $x=2$x=2 is:

A. 2
B. 4
C. 1
D. 3

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Q44

The determinant of $\begin{pmatrix}2 & 0 \\ 0 & 3\end{pmatrix}$(20​03​) is:

A. 6
B. 5
C. 0
D. 1

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Q45

If $f(x) = x^2 – 4x + 3$f(x)=x2−4x+3, then the maximum or minimum value occurs at:

A. x = 1
B. x = 2
C. x = 3
D. x = 4

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Section 4 – Biology (Q46–60)

Q46

Which organelle is called the “powerhouse” of the cell?

A. Nucleus
B. Mitochondria
C. Ribosome
D. Golgi apparatus

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Q47

DNA replication is:

A. Conservative
B. Semi-conservative
C. Dispersive
D. Random

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Q48

Which vitamin is essential for blood clotting?

A. Vitamin A
B. Vitamin D
C. Vitamin K
D. Vitamin C

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Q49

The site of photosynthesis in plants is:

A. Mitochondria
B. Chloroplast
C. Nucleus
D. Ribosome

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Q50

Which blood cells are responsible for immunity?

A. RBC
B. WBC
C. Platelets
D. Plasma

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Q51

Which hormone regulates blood sugar levels?

A. Insulin
B. Adrenaline
C. Thyroxine
D. Cortisol

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Q52

Which is a nitrogen-fixing bacteria?

A. E. coli
B. Rhizobium
C. Lactobacillus
D. Staphylococcus

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Q53

Which enzyme converts starch into maltose?

A. Amylase
B. Lipase
C. Protease
D. Lactase

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Q54

Which is the site of gas exchange in lungs?

A. Bronchi
B. Alveoli
C. Trachea
D. Larynx

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Q55

Human chromosome number is:

A. 23
B. 46
C. 44
D. 48

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Q56

Which of the following is a monocot?

A. Wheat
B. Pea
C. Mango
D. Sunflower

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Q57

Which tissue transports water in plants?

A. Phloem
B. Xylem
C. Parenchyma
D. Collenchyma

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Q58

Which is an example of a vestigial organ in humans?

A. Appendix
B. Liver
C. Heart
D. Lungs

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Q59

Which macronutrient is the main source of energy?

A. Proteins
B. Carbohydrates
C. Vitamins
D. Minerals

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Q60

Which type of immunity is provided by vaccines?

A. Passive immunity
B. Active immunity
C. Innate immunity
D. Humoral immunity

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Section 1 – Physics (Q1–15)

Q	Ans	Q	Ans	Q	Ans
1	C	6	A	11	A
2	A	7	B	12	C
3	B	8	A	13	A
4	B	9	C	14	C
5	B	10	B	15	A

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Section 2 – Chemistry (Q16–30)

Q	Ans	Q	Ans	Q	Ans
16	A	21	C	26	A
17	B	22	B	27	B
18	C	23	B	28	B
19	B	24	B	29	B
20	A	25	B	30	A

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Section 3 – Mathematics (Q31–45)

Q	Ans	Q	Ans	Q	Ans
31	B	36	B	41	A
32	A	37	A	42	A
33	B	38	A	43	B
34	A	39	A	44	A
35	A	40	B	45	B

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Disclaimer: This mock test is created for educational purposes only. Questions are inspired by previous IISER Aptitude Tests (PYQs) but are not copied from official exams. Intended solely for practice and self-evaluation.