List of practice Questions

Match List-I with List-II

	List- I (Plays)		List- II (Play Wrights)
A.	A Doll's House	I.	Samuel Beckett
B.	The Cherry Orchad	II.	Henrik Ibsen
C.	Waiting for Godot	III.	Harold Pinter
D.	The Room	IV.	Anton Pavlov Chekhov

Choose the correct answer from the options given below:

Fill in the blank with the correct preposition.
He is afraid_______ doing this task.

The P-V diagram of a Carnot's engine is shown in the graph below. The engine uses 1 mole of an ideal gas as working substance. From the graph, the area enclosed by the P-V diagram is
[ The heat supplied to the gas is 8000 J ]

If the matrix \(\begin {bmatrix} x-y&1&-2 \\ 2x-y&0&3 \\ 2&-3&0 \end {bmatrix}\) is skew-symmetric, then values of x and y are respectively

Match the following:

Column I (Drug)	Column II (Source)	Column III (Fact)
A. Opioids	M. Opium poppy	I. Receptors are present in CNS and GI tract.
B. Cannabinoids	N. Cannabis sativa	II. Abused by sports persons
C. Cocaine	O. South American Plant	III. Crack
D. Heroin	P. Diacetyl morphine	IV. Smack

Assertion (A): Cardiac muscle is highly resistant to fatigue.
Reason (R): Cardiac muscles are innervated by the somatic nervous system.

List-I shows different radioactive decay processes and List-II provides possible emitted particles. Match each entry in List-I with an appropriate entry from List-II, and choose the correct option.

	List-I		List-II
(P)	\(^{238}_{92}U → ^{234}_{91}Pa\)	(1)	one 𝛼 particle and one 𝛽+ particle
(Q)	\(^{214}_{82}Pb → ^{210}_{82}Pb\)	(2)	three 𝛽− particles and one 𝛼 particle
(R)	\(^{210}_{81}Tl → ^{206}_{82}Pb\)	(3)	two 𝛽− particles and one 𝛼 particle
(S)	\(^{228}_{91}Pa → ^{224}_{88}Ra\)	(4)	one 𝛼 particle and one 𝛽− particle
		(5)	one 𝛼 particle and two 𝛽+ particles

 6 red and 6 black balls are arranged such that no two black balls are together. Find the total number of ways it can be arranged.

In a thermodynamic pross if '$\Delta W$' and '$\Delta U$' are the work done and change in the internal energy of a system respectively, then

The plot of log 𝑘_𝑓 versus \(\frac{1}{T}\) for a reversible reaction, A (g) ⇌ P (g) is shown. 

Pre-exponential factors for the forward and backward reactions are 10¹⁵s^-1 and 10¹¹s^-1 respectively. If the value of log K for the reaction at 500 K is 6, the value of |log kb| at 250K is_________[K = equilibrium constant of the reaction, 𝑘_𝑓 = rate constant of forward reaction, 𝑘_𝑏 = rate constant of backward reaction]

If aggregate demand exceeds aggregate supply at full employment level, the gap which occurs is known as

For \(x ∈ R\), let \(tan^{-1} (x) ∈ \) (\(-\frac{\pi}{2},\frac{\pi}{2}\)). Then the minimum value of function \(f: R \rightarrow R\) defined by \(f(x) =\) \(\int_{0}^{x\,tan^{-1}x}\frac{e^{(t-cos\,t)}}{1+t^{2023}}dt\)  is

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R:
Assertion A: Laws are only valid if they are just.
Reason R: The aim of law is to secure Justice.
In the light of the above statements, choose the most appropriate answer from the options given below:

The clinic of a Doctor faces the West. From the backside of his clinic, he walks straight 100 metres then turn to the left and walks 100 metres again. Finally, he turns towards right and stops after walking 50 metres. Now in which direction is Doctor from the starting point?

A gas at a pressure of 2 atm is heated from 25 °C to 323 °C and simultaneously compressed to \(\frac{2^{rd}}{3}\) of its original value. Then the final pressure is

Let f:[1,∞) \(\rightarrow\) R be a differentiable function such that f(1) = \(\frac{1}{3}\) and 3\(\int_{1}^{x}\)f(t)dt=xf(x)-\(\frac{x^3}{3}\),x∈[1,∞). Let e denote the base of the natural logarithm. Then the value of f(e) is

A slide with a frictionless curved surface, which becomes horizontal at its lower end, is fixed on the terrace of a building of height 3ℎ from the ground, as shown in the figure. A spherical ball of mass 𝑚 is released on the slide from rest at a height ℎ from the top of the terrace. The ball leaves the slide with a velocity \(\hat{u}_0=u_0\hat{x}\) and falls on the ground at a distance 𝑑 from the building making an angle θ with the horizontal. It bounces off with a velocity of v and reaches a maximum height of ℎ₁. The acceleration due to gravity is 𝑔 and the coefficient of restitution of the ground is \(\frac{1}{\sqrt3}\). Which of the following statement(s) is(are) correct?

If two subsets \( A \) and \( B \) are selected at random from a set \( S \) containing \( n \) elements, then the probability that \( A \cap B = \emptyset \) and \( A \cup B = S \) is:

The number of natural numbers less than 10000 which are divisible by 5 and that no digit is repeated in the same number, is

If \( S = \begin{bmatrix} 0 & 1 \\ 0 & 1 \\ 1 & 0 \end{bmatrix} \) and \( A = \frac{1}{2} \begin{bmatrix} b + c & c - a \\ a + b & b - c \end{bmatrix} \), then \( SAS^{-1} \) is:

Which of the following are propositions ?
(A) The sum of four angles of quadrilateral is 180°.
(B) A line segment has two end points.
(C) 7𝑥+3=14
(D) 3 X 9=21

The symbols that we use to represent number names are called a numerals. Children see numerals such as “6” in their everyday lives constantly. However, numerals are ---------- than quantities.