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TS EAMCET Mock Test - 8 - JEE MCQ


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30 Questions MCQ Test TS EAMCET Mock Test Series - TS EAMCET Mock Test - 8

TS EAMCET Mock Test - 8 for JEE 2024 is part of TS EAMCET Mock Test Series preparation. The TS EAMCET Mock Test - 8 questions and answers have been prepared according to the JEE exam syllabus.The TS EAMCET Mock Test - 8 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for TS EAMCET Mock Test - 8 below.
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TS EAMCET Mock Test - 8 - Question 1

The radionuclide 56Mn is being produced in a cyclotron at a constant rate P by bombarding a manganese target with deutrons. 56Mn has a half life of 2.5 hours and the target contains large number of only the stable manganese isotope 55Mn. The reaction that produces 56Mn is:

55Mn+d→56Mn+P

After being bombarded for a long time, the activity of 56Mn becomes constant equal to 13.86×10s−1. (Use ln2 = 0.693; Avogadro number = 6×1023 atomic weight of 56Mn = 56gm/mole)

Q. After a long time bombardment, number of 56Mn nuclei present in the target depends upon 
(a) The number of 56Mn nuclei present at the start of the process 
(b) Half life of the 56Mn
(c) The constant rate of production P

TS EAMCET Mock Test - 8 - Question 2

The first atomic reactor was constructed by

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TS EAMCET Mock Test - 8 - Question 3

When a p - n junction diode is reverse biased, the thickness of the depletion layer

TS EAMCET Mock Test - 8 - Question 4
The de-Broglie wavelength is proportional to
TS EAMCET Mock Test - 8 - Question 5

An L.C. circuit contains 10 mH inductor and a 25 μ F capacitor. The resistance of the circuit is negligible. The energy stored in the circuit is completely magnetic at time (in milli seconds) being measured from the instant when the circuit is closed

Detailed Solution for TS EAMCET Mock Test - 8 - Question 5

When R is negigible,

Therefore, t = 1.57, 4.71, 7.85 ... milli sec

TS EAMCET Mock Test - 8 - Question 6

An alkane C7H16 is produced by the reaction of Lithium di (3-pentyl) cuperate with ethyl bromide. The structural formula of product is

Detailed Solution for TS EAMCET Mock Test - 8 - Question 6

TS EAMCET Mock Test - 8 - Question 7

A reaction reaches a state of chemical equilibrium only when

TS EAMCET Mock Test - 8 - Question 8

When dilute H2SO4 is electrolysed at room temperature between Pt electrodes. The substance liberated at anode is

TS EAMCET Mock Test - 8 - Question 9

Which of the following will exhibits geometrical isomerism ?

TS EAMCET Mock Test - 8 - Question 10

The ratio of the molar amounts of H₂S needed to precipitate the metal ions from 20 mL each of 1M Cd(NO₃)₂ and 0.5 M CuSO₄ is

Detailed Solution for TS EAMCET Mock Test - 8 - Question 10

As Cd2+ and Cu2+, both are dipositive ions but Cu2+ has one half of the concentration compared to that of the Cd2+. Thus, the molar amount of the H2S used to precipitate the metals ions Cd2+ and Cu2+ is 2 : 1.

TS EAMCET Mock Test - 8 - Question 11

A compound A has a molecular formula C₂Cl₃OH. It reduces Fehling solution and on oxidation produces a monocarboxylic acid B. A can also be obtained by the action of Cl₂ on Ethanol. A is

TS EAMCET Mock Test - 8 - Question 12

The locus of x2+y2+z=0 is

TS EAMCET Mock Test - 8 - Question 13

The position vector of the centre of the sphere  is

Detailed Solution for TS EAMCET Mock Test - 8 - Question 13

Let 

The equation of sphere = 
Centre of sphere = (-1/2, -1/2, 1/2)
The position vector of centre of sphere = 

TS EAMCET Mock Test - 8 - Question 14

The mean of 5 observations is 4.4 and their variance is 8.24. If three observations are 1, 2 and 6, the other two observations are

TS EAMCET Mock Test - 8 - Question 15

In a sequence of number P, Q, R, S, T, U, V, ..., Z, the value of each subsequent number is 3 more than the product of previous and 3. If it is known that T is equal to 21, what is the value of P + Q?

Detailed Solution for TS EAMCET Mock Test - 8 - Question 15

From question,
T = 21 = (s x 3) + 3
Or S = 6
Similarly, 6 = R x 3 + 3
Or R = 1
Or 1 = Q x 3 + 3
Or -2/3 = Q 
Similarly, -2/3= P x 3 + 3
Or = P x 3
Or P = -11/9 
So, required sum = P + Q =  =  

TS EAMCET Mock Test - 8 - Question 16

The number of terms of the A.P. 3, 7, 11, 15,...to be taken so that the sum is 406 is

TS EAMCET Mock Test - 8 - Question 17

If the pair of lines ax2+ 2hxy + by2 + 2gx + 2fy + c = 0 intersect on the y-axis then

TS EAMCET Mock Test - 8 - Question 18

( d/dx )(x2 + cos x)4 =

Detailed Solution for TS EAMCET Mock Test - 8 - Question 18

d/dx(x2 + cos x)4

= 4.(x2 + cos x)3 x d/dx (x2 + cos x)
= 4(x2 + cos x)3 x (2x - sin x)

TS EAMCET Mock Test - 8 - Question 19

Which of the following statement is false?

Detailed Solution for TS EAMCET Mock Test - 8 - Question 19

The determinant of skew-symmetric matrix of odd order is always zero
Therefore the inverse of skew-symmetric matrix does not exist

TS EAMCET Mock Test - 8 - Question 20

If ω ≠ 1 is a cube root of unity and satisfies and  then the value of  is

Detailed Solution for TS EAMCET Mock Test - 8 - Question 20


As we know, when cubic root of ω is 1, then 1 + ω + ω2 = 0
Hence, putting x = 1 in the above equation, we get value 2.

TS EAMCET Mock Test - 8 - Question 21

If A and B are two matrices such that AB = B and BA = A, then A2+ B2 =

TS EAMCET Mock Test - 8 - Question 22

If the tangent to the curve 2y3 = ax2 + x3 at the point (a, a) cuts off intercepts α and β on the coordinate axes, where α2 + β2 = 61, then the value of |a| is

Detailed Solution for TS EAMCET Mock Test - 8 - Question 22

TS EAMCET Mock Test - 8 - Question 23

Let A and B are two events and P(A′) = 0⋅3, P(B) = 0⋅4, P(A∩B′) = 0⋅5 then P(A∪B′) is:

Detailed Solution for TS EAMCET Mock Test - 8 - Question 23

Given that P(A′) = 0⋅3, P(B) = 0⋅4, P(A∩B′) = 0⋅5

P(B′) = 1 − P(B) = 1 − 0⋅4 = 0⋅6

P(A) = 1 − P(A′) = 1 − 0⋅3 = 0⋅7

P(A∪B′) = P(A) + (B′) − P(A∩B′)

= 0⋅7 + 0⋅6 − 0⋅5 = 0⋅8

TS EAMCET Mock Test - 8 - Question 24

The differential equation | dy/dx | + | y | + 3 = 0 admits

TS EAMCET Mock Test - 8 - Question 25

If n ∈ N, then 72n + 23n−3 ⋅ 3n−1 is always divisible by

Detailed Solution for TS EAMCET Mock Test - 8 - Question 25

Putting n = 1 in P(n)

= 72 + 20 ⋅ 30 = 49 + 1 = 50   ...(i)

Which is divisible by 25
 be divisible by 25 for some k ∈ N

= a multiple of 25 as P(k) is true

Hence by PMI P(n) is divisible by  25 ∀ n ∈ N

TS EAMCET Mock Test - 8 - Question 26

If |a|=3, |b|=4, |c|=5 and a+b+c=0, the angle between a and b is

TS EAMCET Mock Test - 8 - Question 27

The equations of two lines are 3y - 4x = 5 and 4y + 6 = 3x. What is the relation between these lines?

Detailed Solution for TS EAMCET Mock Test - 8 - Question 27

The slope of the first line is 4/3 and the slope of the second line is 3/4.
Clearly, these slopes are neither negative reciprocal of each other nor equal.
Hence, they are neither parallel nor perpendicular.

TS EAMCET Mock Test - 8 - Question 28

If U = [2 −3 4], X = [0  2  3],  , then UV + XY

Detailed Solution for TS EAMCET Mock Test - 8 - Question 28

= [6 − 6 + 4] + [0 + 4 + 12] = [4] + [16] = [20]

TS EAMCET Mock Test - 8 - Question 29

if f : R→R be such that f(1) = 4 and f'(1) = 12 then 

TS EAMCET Mock Test - 8 - Question 30

The mean and variance of 7 observations are 8 and 16 respectively. If 5 observations are 2, 4, 10, 12, 14 then the remaining two observations are

Detailed Solution for TS EAMCET Mock Test - 8 - Question 30

Let the remaining two observations be x and y. Since mean of 7 observations is 8.

⇒ 42 + x + y = 56

⇒ x + y = 14

Also variance (σ)2 = 16

⇒  (4 + 16 + 100 + 144 + 196 + x2 + y2) = 80 × 7

⇒  x2 + y2 = 560 − 460 = 100

But   (x + y)2 + (x − y)2 = 2(x2 + y2)

⇒ 196 + (x − y)2 = 2 × 100

⇒ (x − y)2 = 4

⇒ (x − y) = ±2

(x + y) = 14 and (x − y) = 2

∴ x = 8, y = 6

If (x + y) = 14 (x − y) = −2

∴ x = 6, y = 8

So, the remaining two observations are 6 and 8.

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