List of practice Questions

Writers Workshop and Blaft are _________.
Given below are two statements 1 and 2, and two conclusions I and II.

Statement 1: All entrepreneurs are wealthy.
Statement 2: All wealthy are risk seekers.
Conclusion I: All risk seekers are wealthy.
Conclusion II: Only some entrepreneurs are risk seekers.

Based on the above statements and conclusions, which one of the following options is CORRECT?
The front door of Mr. X's house faces East. Mr. X leaves the house, walking 50 m straight from the back door that is situated directly opposite to the front door. He then turns to his right, walks for another 50 m and stops. The direction of the point Mr. X is now located at with respect to the starting point is \(\underline{\hspace{2cm}}\)

If \( \oplus \div \odot = 2; \ \oplus \div \Delta = 3; \ \odot + \Delta = 5; \ \Delta \times \otimes = 10,\) 

Then, the value of \( (\otimes - \oplus)^2 \) is:
 

A digital watch X beeps every 30 seconds while watch Y beeps every 32 seconds. They beeped together at 10 AM.
The immediate next time that they will beep together is \(\underline{\hspace{2cm}}\)
Ambient pressure, temperature, and relative humidity at a location are 101 kPa, 300 K, and 60%, respectively. The saturation pressure of water at 300 K is 3.6 kPa. The specific humidity of ambient air is \(\underline{\hspace{2cm}}\) g/kg of dry air.
The value of \[ \int_0^{\frac{\pi}{2}} \int_0^{\cos \theta} r \sin \theta \, dr \, d\theta \] is
Let the superscript \( T \) represent the transpose operation. Consider the function \[ f(x) = \frac{1}{2} x^T Q x - r^T x, \] where \( x \) and \( r \) are \( n \times 1 \) vectors and \( Q \) is a symmetric \( n \times n \) matrix. The stationary point of \( f(x) \) is
Consider the following differential equation \[ (1 + y) \frac{dy}{dx} = y. \] The solution of the equation that satisfies the condition \( y(1) = 1 \) is
Consider an ideal vapour compression refrigeration cycle working on R-134a refrigerant. The COP of the cycle is 10 and the refrigeration capacity is 150 kJ/kg. The heat rejected by the refrigerant in the condenser is \(\underline{\hspace{1cm}}\) kJ (round off to the nearest integer).
A PERT network has 9 activities on its critical path. The standard deviation of each activity on the critical path is 3. The standard deviation of the critical path is
Consider an \( n \times n \) matrix \( A \) and a non-zero \( n \times 1 \) vector \( p \). Their product \( Ap = \alpha^2 p \), where \( \alpha \in \mathbb{R} \) and \( \alpha \notin \{-1, 0, 1\} \). Based on the given information, the eigenvalue of \( A^2 \) is:
A box contains 15 blue balls and 45 black balls. If 2 balls are selected randomly, without replacement, the probability of an outcome in which the first selected is a blue ball and the second selected is a black ball, is
Consider the following sentences: \[ (i) \text{The number of candidates who appear for the GATE examination is staggering.} \] \[ (ii) \text{A number of candidates from my class are appearing for the GATE examination.} \] \[ (iii) \text{The number of candidates who appear for the GATE examination are staggering.} \] \[ (iv) \text{A number of candidates from my class is appearing for the GATE examination.} \] Which of the above sentences are grammatically CORRECT?
Five persons P, Q, R, S and T are to be seated in a row, all facing the same direction, but not necessarily in the same order. P and T cannot be seated at either end of the row. P should not be seated adjacent to S. R is to be seated at the second position from the left end of the row. The number of distinct seating arrangements possible is:
If one cell is connected wrongly in a series combination of four cells each of e.m.f. 1.5 V and internal resistance of 0.5 Ω, then the equivalent internal resistance of the combination is
A carbon resistor is marked with the rings coloured blue, black, rcd and silver. lts rcsistance in ohm is
Choose the erroneous underlying segment or option D if no error.
He carried his clothes (a) in a black heavy. (b) steel trunk (c)
Given below is an inter-industry transactions matrix. If final demand for the agriculture sector changes from 150 units to 300 units and for the manufacturing sector changes from 120 units to 200 units, then the output of the agriculture sector should be _________ units (in integer).

Consider the following Table. 

Based on the given data, the average Broad Money Multiplier for the period April - June is _________ (round off to three decimal places).

Two farmers, Rohit and Harish, graze their animals on a common land. They can choose to use this common resource ‘lightly’ or ‘heavily’ and the resulting strategic interaction may be described as a simultaneous-move game. The payoff matrix is given below: 

The minimum value of the discount rate (where the discount rate is less than one) under infinite repetition of the game where the threat strategy (“Graze lightly if the opponent also grazes lightly, whereas, if the opponent reneges then always graze heavily in all the future periods”), is a Sub-game Perfect Nash Equilibrium (SPNE) and, both the farmers graze their animals lightly is _________ (round off to one decimal place).

Consider an intersection of roads without any traffic light. Two cars A and B approach an intersection and they want to proceed as indicated by respective arrows in the following diagram. If both proceed without stopping and there is an accident, then A would have a payoff of -100 and B would have a payoff of -500 (since B is responsible for the accident). If one stops, and the other proceeds then the payoff is: -5 and 10, respectively. If both of them stop, then it takes a little longer to reach their respective destinations, they have a payoff of -5 each. Find the Pure Strategy Nash Equilibrium (PSNE) of the players (Car drivers). 

Let A and B be two events with probabilities \( P(A) = \frac{3}{4} \) and \( P(B) = \frac{1}{3} \); then which of the following options is true?

Consider an individual who maximizes her expected utility having Bernoulli utility function

Assuming that external economies exist, when demand increases in a perfectly competitive market, in the long-run, the price of the product: