Explore Exams
Login Signup
Sign in Open App
JEE Exam  >  JEE Test  >  COMEDK Mock Test Series  >  COMEDK Mock Test - 7 - JEE MCQ

JEE COMEDK Mock Test - 7 Free Online Test 2026


Test Description

30 Questions MCQ Test COMEDK Mock Test Series - COMEDK Mock Test - 7

COMEDK Mock Test - 7 for JEE 2026 is part of COMEDK Mock Test Series preparation. The COMEDK Mock Test - 7 questions and answers have been prepared according to the JEE exam syllabus.The COMEDK Mock Test - 7 MCQs are made for JEE 2026 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for COMEDK Mock Test - 7 below.
Solutions of COMEDK Mock Test - 7 questions in English are available as part of our COMEDK Mock Test Series for JEE & COMEDK Mock Test - 7 solutions in Hindi for COMEDK Mock Test Series course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt COMEDK Mock Test - 7 | 180 questions in 180 minutes | Mock test for JEE preparation | Free important questions MCQ to study COMEDK Mock Test Series for JEE Exam | Download free PDF with solutions
COMEDK Mock Test - 7 - Question 1
Save

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 for COMEDK Mock Test - 7 - Question 1

Using Faraday law,


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

= 56 × 10-4 m2

COMEDK Mock Test - 7 - Question 2
Save

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 for COMEDK Mock Test - 7 - Question 2


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

Clear all your doubts with EduRev
COMEDK Mock Test - 7 - Question 3
Save

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 for COMEDK Mock Test - 7 - 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
Save

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 for COMEDK Mock Test - 7 - 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
Save

The power factor of an ac circuit having resistance (R) and inductance (L) connected in series and an angular velocity ω is

Detailed Solution for COMEDK Mock Test - 7 - Question 5
Power factor = R/Z

For an LR circuit,

Hence, the power factor is

COMEDK Mock Test - 7 - Question 6
Save

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 for COMEDK Mock Test - 7 - Question 6

E0 = 2.25V/m
B0 = 1.5× 10-8 T

COMEDK Mock Test - 7 - Question 7
Save

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 for COMEDK Mock Test - 7 - Question 7


H2 = 2000 J

COMEDK Mock Test - 7 - Question 8
Save

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 for COMEDK Mock Test - 7 - Question 8


 = 61.8 minute
⇒ T1/2  ≈ 62 minutes

COMEDK Mock Test - 7 - Question 9
Save

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 for COMEDK Mock Test - 7 - 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
Save

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 for COMEDK Mock Test - 7 - 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
Save

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 for COMEDK Mock Test - 7 - 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
Save

The reaction/method that does not give an alkane is

COMEDK Mock Test - 7 - Question 13
Save

Reaction of acids with alcohols is also known as

COMEDK Mock Test - 7 - Question 14
Save

Final product formed on reduction of glycerol by hydriodic acid is

COMEDK Mock Test - 7 - Question 15
Save

Which one of the following compounds is not a vitamin?

COMEDK Mock Test - 7 - Question 16
Save

The mass of 112 cm3 of CH₄ gas at STP is

COMEDK Mock Test - 7 - Question 17
Save

The enthalpy of a solution of KNO3 is + 35.64 kJ. This denotes

COMEDK Mock Test - 7 - Question 18
Save

The acid showing salt like character in aqueous solutions is

COMEDK Mock Test - 7 - Question 19
Save

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 for COMEDK Mock Test - 7 - 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
Save

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

Detailed Solution for COMEDK Mock Test - 7 - 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
Save

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 for COMEDK Mock Test - 7 - 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
Save

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 for COMEDK Mock Test - 7 - 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
Save

The inverse function of 

Detailed Solution for COMEDK Mock Test - 7 - Question 23

COMEDK Mock Test - 7 - Question 24
Save

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 for COMEDK Mock Test - 7 - Question 24


COMEDK Mock Test - 7 - Question 25
Save

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 for COMEDK Mock Test - 7 - 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
Save

Let . If  , then T + n(S) is equal to:

Detailed Solution for COMEDK Mock Test - 7 - 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
Save

The lines x = ay - 1 = z - 2 and x = 3y - 2 = bz - 2, (ab ≠ 0) are coplanar, if:

Detailed Solution for COMEDK Mock Test - 7 - Question 27



Lines are coplanar.

COMEDK Mock Test - 7 - Question 28
Save

The sum of all the real roots of the equation (e2x - 4)(6e2x - 5ex + 1) = 0 is

Detailed Solution for COMEDK Mock Test - 7 - Question 28

COMEDK Mock Test - 7 - Question 29
Save

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 for COMEDK Mock Test - 7 - 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
Save

A random variable X has the following probability distribution:

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

Detailed Solution for COMEDK Mock Test - 7 - 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

View more questions
10 tests
Join Course
Information about COMEDK Mock Test - 7 Page
In this test you can find the Exam questions for COMEDK Mock Test - 7 solved & explained in the simplest way possible. Besides giving Questions and answers for COMEDK Mock Test - 7, EduRev gives you an ample number of Online tests for practice
Download as PDF

Important Questions for COMEDK Mock Test - 7

Find all the important questions for COMEDK Mock Test - 7 at EduRev.Get fully prepared for COMEDK Mock Test - 7 with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the COMEDK Mock Test - 7 syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of COMEDK Mock Test - 7 resources.

COMEDK Mock Test - 7 MCQs with Answers

Prepare for the COMEDK Mock Test - 7 within the JEE exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for COMEDK Mock Test - 7 COMEDK Mock Test Series

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace COMEDK Mock Test - 7 with ease. Join thousands of successful students who have benefited from our trusted online resources.
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup