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JEE Exam  >  JEE Test  >  COMEDK Mock Test Series  >  COMEDK Mock Test - 7 - JEE MCQ

COMEDK Mock Test - 7 Free Online Test 2026


Full Mock Test & Solutions: COMEDK Mock Test - 7 (180 Questions)

You can boost your JEE 2026 exam preparation with this COMEDK Mock Test - 7 (available with detailed solutions).. This mock test has been designed with the analysis of important topics, recent trends of the exam, and previous year questions of the last 3-years. All the questions have been designed to mirror the official pattern of JEE 2026 exam, helping you build speed, accuracy as per the actual exam.

Mock Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 180 minutes
  • - Total Questions: 180
  • - Analysis: Detailed Solutions & Performance Insights
  • - Sections covered: Physics, Chemistry, Mathematics

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COMEDK Mock Test - 7 - Question 1
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At time t = 0, magnetic field of 1000 Gauss is passing perpendicularly through the area defined by the closed loop shown in the figure. If the magnetic field reduces linearly to 500 Gauss, in the next 5 s, then induced EMF in the loop is

Detailed Solution: Question 1

Using Faraday law,


Area = (16 × 4 - 2 × Area of triangle) cm2 

= 56 × 10-4 m2

COMEDK Mock Test - 7 - Question 2
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A particle of mass m is fixed to one end of a light spring having force constant k and unstretched length l. The other end is fixed. The system is given an angular speed ω about the fixed end of the spring such that it rotates in a circle in gravity free space. Then the stretch in the spring is

Detailed Solution: Question 2


At elongated position (x),
Fradial = mr ω2
∴ kx = m(ℓ + x)ω2

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COMEDK Mock Test - 7 - Question 3
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Four identical particles of mass M are located at the corners of a square of side 'a'. What should be their speed if each of them revolves under the influence of other's gravitational field in a circular orbit circumscribing the square?

Detailed Solution: Question 3

Net force on particle towards centre of circle is,

This force will act as centripetal force. Distance of particle from centre of circle is a/√2

COMEDK Mock Test - 7 - Question 4
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The difference of speed of light in the two media A and B (vA - vB) is 2.6 × 107 m/s. If the refractive index of medium B is 1.47, then the ratio of refractive index of medium B to medium A is: (Given: Speed of light in vacuum, c = 3 × 108 ms-1)

Detailed Solution: Question 4

Speed of light in a medium,

c is the speed of light and μ is the refractive index.
⇒ 
= 2.04 × 108 = 20.4 × 107 m/s
∴ vA - vB = 2.6 × 107 m/s
∴ vA = (20.4 + 2.6) × 107 = 23 × 107 m/s
∴  

COMEDK Mock Test - 7 - Question 5
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The power factor of an ac circuit having resistance (R) and inductance (L) connected in series and an angular velocity ω is

Detailed Solution: Question 5

Power factor = R/Z

For an LR circuit,

Hence, the power factor is

COMEDK Mock Test - 7 - Question 6
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A radar sends an electromagnetic signal of electric filed (E0) = 2.25 V/m and magnetic field (B0) = 1.5 × 10-8 T which strikes a target on the line of sight at a distance of 3 km in a medium. After that, a part of signal (echo) reflects back towards the radar with the same velocity and by the same path. If the signal was transmitted at time t = 0 from the radar, then after how much time echo will reach to the radar?

Detailed Solution: Question 6

E0 = 2.25V/m
B0 = 1.5× 10-8 T

COMEDK Mock Test - 7 - Question 7
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A resistor develops 500 J of thermal energy in 20 s when a current of 1.5 A is passed through it. If the current is increased from 1.5 A to 3 A, what will be the energy developed in 20 s?

Detailed Solution: Question 7


H2 = 2000 J

COMEDK Mock Test - 7 - Question 8
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The activity of a radioactive sample falls from 700 s-1 to 500 s-1 in 30 minutes. Its half life is close to:

Detailed Solution: Question 8


 = 61.8 minute
⇒ T1/2  ≈ 62 minutes

COMEDK Mock Test - 7 - Question 9
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The energy required to separate the typical middle mass nucleus into its constituent nucleons is:

(Mass of 119.902199amu, mass of proton = 1.007825amu and mass of neutron = 1.008665amu)

Detailed Solution: Question 9

Given, Z 50, A - Z = 120 - 50 = 70
Δm = Z.mp + (A - Z) mn - M= [50 × 1.007825 +70 × 1.008665 - 119.902199] = 1.095601 MeV
E = 1.095601 × 931.478 MeV = 1020.53 MeV ≈ 1021 MeV

COMEDK Mock Test - 7 - Question 10
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Two spheres A and B of masses m1 and m2 respectively collide. A is at rest initially and B is moving with velocity v along x-axis. After collision B has a velocity v/2  in a direction perpendicular to the original direction. The mass A moves after collision in the direction.

Detailed Solution: Question 10

 Answer :- c

Solution :- Here initially sphere A is at rest and B is moving along x axis with velocity V.

After collision, velocity of sphere B becomes V/2 along direction perpendicular to its initial direction i.e. along Y axis.

Sphere A will move with some velocity u at some angle θ as shown in figure.considering law of conservation of momentum along X−axis.

m2V=m1ucosθ...........(i)

Considering law of conservation of momentum along Y−axis.

m2v/2=m1usinθ............(ii)

From equation i and ii.

1/2=tanθ

θ=tan−1(0.5).

COMEDK Mock Test - 7 - Question 11
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The resistance of the rod is 1 Ω. It is bent in form of a square. What is the resistance across adjacent corners?

Detailed Solution: Question 11

When the rod is bent in the form of a square, then each side has a resistance of 1/4 Ω. As shown R1, R2 and R3 are connected in series, so, their equivalent resistance,

Now, R' and R4 are connected in parallel, so, the equivalent resistance of the circuit is

COMEDK Mock Test - 7 - Question 12
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The reaction/method that does not give an alkane is

COMEDK Mock Test - 7 - Question 13
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Reaction of acids with alcohols is also known as

COMEDK Mock Test - 7 - Question 14
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Final product formed on reduction of glycerol by hydriodic acid is

COMEDK Mock Test - 7 - Question 15
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Which one of the following compounds is not a vitamin?

COMEDK Mock Test - 7 - Question 16
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The mass of 112 cm3 of CH₄ gas at STP is

COMEDK Mock Test - 7 - Question 17
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The enthalpy of a solution of KNO3 is + 35.64 kJ. This denotes

COMEDK Mock Test - 7 - Question 18
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The acid showing salt like character in aqueous solutions is

COMEDK Mock Test - 7 - Question 19
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Let a circle C touch the lines L1 : 4x - 3y + K1 = 0 and L2 : 4x - 3y + K2 = 0, K1, K2 ∈ R. If a line passing through the centre of the circle C intersects L1 at (-1, 2) and L2 at (3, -6), then the equation of the circle C is

Detailed Solution: Question 19


L1 : 4x - 3y + K1 = 0
L2 : 4x - 3y + K2 = 0
Now,
-4 - 6 + K1 = 0
⇒ K1 = 10
12 + 18 + K2 = 0
⇒ K2 = -30
⇒ Tangents to the circle are:
4x - 3y + 10 = 0
4x - 3y - 30 = 0
Length of diameter, 2r =  = 8
⇒ r = 4
Now, centre is the mid-point of A and B.
x = 1, y = -2
Equation of the circle,
(x - 1)2 + (y + 2)2 = 16

COMEDK Mock Test - 7 - Question 20
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The set of all values of k for which (tan-1x)3 + (cot-1x)3 = kπ3, x ∈ R, is the interval:

Detailed Solution: Question 20

Let tan-1x = t 
cot-1x = π/2 - t


Max will occur around t = π/2
Range of f(t) = 

COMEDK Mock Test - 7 - Question 21
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Let x2 + y2 + Ax + By + C = 0 be a circle passing through (0, 6) and touching the parabola y = x2 at (2, 4). Then A + C is equal to _______.

Detailed Solution: Question 21

For tangent to parabola y = x2 at (2, 4):

Equation of tangent is:
y - 4 = 4(x - 2)
⇒ 4x - y - 4 = 0
Family of circle can be given by:
(x - 2)2 + (y - 4)2 + λ(4x - y - 4) = 0
As it passes through (0, 6),
22 + 22 + λ(-10) = 0
∴ λ = 4/5
Equation of circle is:
(x - 2)2 + (y - 4)2 + 4/5(4x - y - 4) = 0

So, A + C = 16

COMEDK Mock Test - 7 - Question 22
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The number of values of α for which the system of equations
x + y + z = α
αx + 2αy + 3z = -1
x + 3αy + 5z = 4
is inconsistent, is

Detailed Solution: Question 22


= 1(10α - 9α) - 1 (5α - 3) + 1 (3α2 - 2α)
= α - 5α + 3 + 3α2 - 2α
= 3α2 - 6α + 3
For inconsistency, Δ = 0, i.e. α = 1
Now, check for α = 1.
x + y + z = 1 ... (i)
x + 2y + 3z = -1 ... (ii)
x + 3y + 5z = 4 ... (iii)
By (ii) × 2 - (i) × 1:
x + 3y + 5z = -3
So, the equations are inconsistent for α = 1.

COMEDK Mock Test - 7 - Question 23
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The inverse function of 

Detailed Solution: Question 23

COMEDK Mock Test - 7 - Question 24
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Let P be a variable point on the parabola y = 4x2 + 1. Then the locus of the mid-point of the point P and the foot of the perpendicular drawn from the point P to the line y = x is:

Detailed Solution: Question 24


COMEDK Mock Test - 7 - Question 25
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For which of the following ordered pairs (μ, δ), the system of linear equations
x + 2y + 3z = 1
3x + 4y + 5z = μ
4x + 4y + 4z = 
is inconsistent?

Detailed Solution: Question 25

For inconsistent system, we need Δ = 0 and at least one of Δx, Δy, Δz ≠ 0.

∴ (μ, δ) = (4, 3) is the only possible choice among the given ones.

COMEDK Mock Test - 7 - Question 26
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Let . If  , then T + n(S) is equal to:

Detailed Solution: Question 26

tanθ (sinθ + 1) - sin2θ = 0
tanθ (sinθ + 1 - 2cos2θ) = 0
⇒ tanθ = 0 or 2sin2θ + sinθ - 1 = 0
⇒ (2sinθ + 1) (sinθ - 1) = 0
⇒ sinθ = -1/2 or 1
But sinθ = 1 not possible

n(S) = 5

= 4

COMEDK Mock Test - 7 - Question 27
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The lines x = ay - 1 = z - 2 and x = 3y - 2 = bz - 2, (ab ≠ 0) are coplanar, if:

Detailed Solution: Question 27



Lines are coplanar.

COMEDK Mock Test - 7 - Question 28
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The sum of all the real roots of the equation (e2x - 4)(6e2x - 5ex + 1) = 0 is

Detailed Solution: Question 28

COMEDK Mock Test - 7 - Question 29
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The sum of absolute maximum and absolute minimum values of the function f(x) = |2x2 + 3x - 2| + sinx cosx in the interval [0, 1] is:

Detailed Solution: Question 29

f(x) = |(2x - 1)(x + 2)|  + 
  f(x) = (1 - 2x) (x + 2) + 
f'(x) = -4x - 3 + cos2x < 0
For x ≥ 1/2 : f'(x) = 4x + 3 + cos2x > 0
So, minima occurs at x = 1/2.

So, maximum is possible at x = 0 or x = 1
Now checking for x = 0 and x = 1, we can see it attains its maximum value at x = 1

Sum of absolute maximum and minimum value

COMEDK Mock Test - 7 - Question 30
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A random variable X has the following probability distribution:

The value of P(1 < X < 4 | X ≤ 2) is equal to:

Detailed Solution: Question 30

∵ X is a random variable, k + 2k + 4k + 6k + 8k = 1
∴ k = 1/21
Now, P(1 < X < 4 | X ≤ 2) = 4k/7k = 4/7

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About this JEE Mock Test

This mock test contains 180 questions designed to replicate the pattern, difficulty level and time pressure of the actual JEE exam. It is part of COMEDK Mock Test Series on EduRev, covering all the topics that are being asked as per the current JEE syllabus. Attempting this test under timed conditions will help you assess your exam readiness, identify subject-wise weak areas, and improve your speed and accuracy before the actual exam.

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