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BITSAT Mock Test - 9 Free Online Test 2026


Full Mock Test & Solutions: BITSAT Mock Test - 9 (130 Questions)

You can boost your JEE 2026 exam preparation with this BITSAT Mock Test - 9 (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: 130
  • - Analysis: Detailed Solutions & Performance Insights
  • - Sections covered: Physics, Chemistry, English Proficiency & Logical Reasoning, Engineering Entrance (Mathematics)

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BITSAT Mock Test - 9 - Question 1

A spherical capacitor consists of an inner sphere of diameter 6 cm and an outer sphere of diameter 10 cm. The space between the two concentric spheres is filled with a medium of dielectric constant 80. What is the capacitance of the capacitor?

Detailed Solution: Question 1

Capacity of the spherical capacitor having inner radius 'a' and outer radius 'b'
b = 5 cm, a = 3 cm


C = 667 × 10-12 F or C = 667 pF

BITSAT Mock Test - 9 - Question 2

Two wires made of same material having lengths 'L' and '2L' and radii 'r and 2r', respectively, are clamped rigidly at one end and stretched by applying forces equal to 'F' and '2F', respectively. If extension in length of first wire is l, then the extension in second wire is

Detailed Solution: Question 2

BITSAT Mock Test - 9 - Question 3

For the post office box arrangement to determine the value of unknown resistance, the unknown resistance should be connected between

Detailed Solution: Question 3

BC, CD and BA are known resistances. The unknown resistance is connected between A1 and D.

BITSAT Mock Test - 9 - Question 4

310 J of heat is required to raise the temperature of 2 moles of an ideal gas at constant pressure from 250C to 350C. The amount of heat required to raise the temperature of the gas through the same range at constant volume is

Detailed Solution: Question 4

BITSAT Mock Test - 9 - Question 5

If a system changes from state (P1, V1) to (P2, V2) as shown below, the work done by the system is

Detailed Solution: Question 5

Work done = Area of graph ACD

BITSAT Mock Test - 9 - Question 6

The resistance of an ammeter is 13Ω, and its scale is graduated for a current upto 100 A. After an additional shunt has been connected to this ammeter, it becomes possible to measure current upto 750 A by this meter. The value of shunt resistance is

Detailed Solution: Question 6

BITSAT Mock Test - 9 - Question 7

A solution containing 0.319 g of CrCI3.6H2O was passed through a cation exchange resin and acid coming out of the cation exchange resin required 28.5 ml of 0.125 M NaOH. Determine the correct formula of the complex.
[Mol. wt. of the complex = 266.5 u]

Detailed Solution: Question 7

When the solution of the complex is passed through cation exchanger, nCI- ions will combine with H+ (of cation exchanger) to form HCI.
nCl- + nH+ nHCI
As 1 mole of the complex will form n moles of HCI, 1 mol of complex n mol of HCI n mol of NaOH
Mole of the complex = = 0.0012 mol
Mole of NaOH used = = 0.0036 mol
0.0012 mol of complex = 0.0036 mol of NaOH = 0.0036 mol of HCI
1 mol of complex = = 3 mol of HCI
Thus, all the CI- ions are outside the coordination sphere. Hence, complex is [Cr(H2O)6]CI3.

BITSAT Mock Test - 9 - Question 8

In which of the following crystals of ionic compounds would you expect maximum distance between the centres of cations and anions?

Detailed Solution: Question 8

Ionic radius is the distance between the nucleus of an ion and a point up to which the nucleus has its influence on its electron cloud.
The size of ions increases on moving from top to bottom in a group. Hence, the maximum distance between the centres of cations and anions is in CsI because Cs is the largest cation and I is the largest anion.

BITSAT Mock Test - 9 - Question 9

The conductivity of 0.001028 mol L-1 acetic acid is 4.95 × 10-5 Scm-1. Find out its dissociation constant, if for acetic acid is 390.5 Scm-1 mol-1.

Detailed Solution: Question 9



BITSAT Mock Test - 9 - Question 10


The reagent X is

Detailed Solution: Question 10

The reaction is called Stephen reaction and is used for the preparation of aldehydes from alkylcyanides.

BITSAT Mock Test - 9 - Question 11

Cd2+(aq) + Zn(s) → Zn2+(aq) + Cd(s)
If and
The equilibrium constant for the above reaction is

Detailed Solution: Question 11

BITSAT Mock Test - 9 - Question 12

Directions: Find the odd one out.

Detailed Solution: Question 12

The rule here is as follows.
Third Letter = Position of first letter + Position of second letter
G(7) = B(2) + E(5)
U(21) = G(7) + N(14)
O(15) = D(4) + O(11)
The above rule is not followed in option 4.

BITSAT Mock Test - 9 - Question 13

Directions: In the given question, a set of figures carrying certain characters is given. Assuming that the characters in each set follow a similar pattern, find the missing character in the given question.

Detailed Solution: Question 13

Column 1: 40 = 20 X 2
Column 2: 18 = 3 X 6
Column 3: 72 = x X 4
x = 72/4 = 18

BITSAT Mock Test - 9 - Question 14

Directions: Find the missing term.

Detailed Solution: Question 14

Going by columns,
32 + 42 = 52
252 - 72 = 242
62 + 82 = 102

BITSAT Mock Test - 9 - Question 15

Directions: In the following question, a series is given with one term missing. Choose the alternative that will complete the series.
18, 8, 10, 22, 73, ?

Detailed Solution: Question 15

The pattern of given series is:
⇒ 18 × 0.5 - 1 = 8
⇒ 8 × 1.5 - 2 = 10
⇒ 10 × 2.5 - 3 = 22
⇒ 22 × 3.5 - 4 = 73
⇒ 73 × 4.5 - 5 = 323.5
⇒ ? = 323.5

BITSAT Mock Test - 9 - Question 16

Directions: Find the missing term in the following series.
?, 97, 167, 257, 367, 497, 647

Detailed Solution: Question 16

The pattern is the addition of 50, 70, 90, 110, 130, 150.... to the series 47, 97, 167, 257, 367, 497, 647.
Therefore, the missing number is 47.

BITSAT Mock Test - 9 - Question 17

Directions: Read the following information carefully to answer the question that follows.
(A) Six flats on a floor in two rows facing north and south are allotted to P, Q, R, S, T and U.
(B) Q gets a north-facing flat and is not next to S.
(C) S and U get flats at diagonally opposite ends.
(D) R, next to U, gets a south-facing flat and T gets a north-facing flat.
Which of the following combinations gets south-facing flats?

Detailed Solution: Question 17

From (B) and (C), we get the arrangement as:

Combining the above arrangement with the information in (D), the arrangement becomes:

U, R and P get south-facing flats.

BITSAT Mock Test - 9 - Question 18

If y = (x + 1)(x + 2)(x + 3), then dy/dx is equal to

Detailed Solution: Question 18

Since,



BITSAT Mock Test - 9 - Question 19

How many four digit numbers that are divisible by 4 can be formed using 1, 2, 3, 4, 5, 6 and 7 in all possible ways without repetition?

Detailed Solution: Question 19

Last two digits of the four digit number can be 12, 16, 24, 32, 36, 52, 56, 64, 72 and 76 (10 ways).
Other two digits can be filled in 5 x 4 = 20 ways
Total number of ways = 20 x 10 = 200 ways

BITSAT Mock Test - 9 - Question 20

The value of the integral is equal to

Detailed Solution: Question 20

BITSAT Mock Test - 9 - Question 21

If a, b, c, d, e and f are in GP, then the value of depends on

Detailed Solution: Question 21

BITSAT Mock Test - 9 - Question 22

If z = , then z69 is equal to

Detailed Solution: Question 22

BITSAT Mock Test - 9 - Question 23

The amplitude of is

Detailed Solution: Question 23

Amplitude of is

=
=
=


=

BITSAT Mock Test - 9 - Question 24

dx is equal to

Detailed Solution: Question 24

Let 1 + cos2 x = t
and dt = -2 cos x.sin x dx = -sin 2x dx
The given equation becomes

Therefore, the problem is reduced to −log(1 + cos2 (x)) + C

BITSAT Mock Test - 9 - Question 25

The area bounded by y = sin x, y = cos x and the ordinates x = 0 and x = /4 is

Detailed Solution: Question 25

BITSAT Mock Test - 9 - Question 26

A circle touches the x-axis and also touches the circle with centre (0, 3) and radius 2. The locus of the centre of the circle is

Detailed Solution: Question 26

BITSAT Mock Test - 9 - Question 27

The maximum value of 5 + 4x − 4x2 is

Detailed Solution: Question 27

BITSAT Mock Test - 9 - Question 28

If p is nearly equal to q and n > 1 such that = , then the value of k is

Detailed Solution: Question 28

Let p = q + h, where h is so small that its square and higher powers may be neglected.
Then, =
= = =
= [Expanding the second term and neglecting h2, h3, etc.]
= 1 + h - h [Neglecting h2]
= 1 + = =
∴ k =

BITSAT Mock Test - 9 - Question 29

In an ellipse, if the lines joining a focus to the extremities of the minor axis make an equilateral triangle with the minor axis, then the eccentricity of the ellipse is

Detailed Solution: Question 29

According to the question we have,
Distance between focus and one end of minor axis is equal to its minor axis
[because triangle formed by the lines are equilateral.]
Then a2e2 + b2 = (2b)2
a2e2 = 3b2 = 3a2(1 - e2) [Since b2 = a2(1 - e2)]
e2 =
Hence, e =

BITSAT Mock Test - 9 - Question 30

is equal to

Detailed Solution: Question 30

We know = log a
=
=
=
=

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