List of top Questions asked in APICET- 2025

If two balls are drawn from a bag having 5 red, 4 black and 6 blue balls, then probability of getting both the balls of different colour is:

From a well shuffled pack of cards (52), what is the probability the card drawn is a diamond, spade or a club?

The mean and standard deviation of a set of values are 30 and 8 respectively. If a constant value 5 is added to each value of the set, then the coefficient of variation of the new set of values is:

Two dice of two different colours thrown simultaneously. Then the probability of getting two numbers whose sum is an even number is:

The data of marks scored by 11 students in a class are 223, 217, 237, 255, 243, 218, 265, 279, 263, 233, 227. The median is:

In a distribution if mean is 4 and coefficient of variation is 75%, then the variance is:

If the probability $P(x) = 0.8$ and $x = 3$, then find the expected value $E(x) = ?$

The mean and median of the data a, b and c are 50 and 35 respectively, where a < b < c. If c − a = 55, then b − a = ?

The standard deviation of 10, 16, 10, 16, 10, 10, 16, 16 is:

If $a \sin\theta + b \cos\theta = c$, then $(a \cos\theta - b \sin\theta)^2 = ?$

If $\pi/2 < x < \pi$ and $\tan x = -3/4$, then $\cos x = ?$

Consider the logical statements P, Q and R. Then $(\sim P \lor R) \lor (P \land (\sim R \lor Q))$ is equivalent to:

If $f(x) + 2f(1/x) = 5x + 2$, for a polynomial $f(x)$, then $f(3) = ?$

If $A = \{x \in \mathbb{N} : x^2 < 25\}$ and $B = \{x \in \mathbb{N} : x \text{ is even}, x \leq 10\}$, then $A \cap B$ is:

The four points (1,7), (4,2), (-1,-1), (-4,4) form a:

$(\cot A - \cos A)/(\cot A + \cos A) - (\csc A - 1)/(\csc A + 1) = ?$

The equation of the straight line passing through the point (−1, 2) and perpendicular to the line $x + 3y = 4$ is:

The distance of the point (1, 6, 2) from the point of intersection of the line $(x-2)/3 = (y+1)/4 = (z-2)/12$ and the plane $x - y + z = 16$ is:

The number of revolutions made by a wheel of radius $r_1$ to cover a distance of $5\frac{1}{2}$ km is 2500, while another wheel of radius $r_2$ made 3125 revolutions to cover the same distance. Then $r_1 + r_2 = ?$}

The circumradius of a triangle with sides 7, 24, 25 is:

The population of a city increases by 5% annually. If the present population is 10,00,000, then the population after 3 years is:

If 'n!' denotes the product of the integers 1 through 'n', what is the remainder when (1! + 2! + 3! + 4! + 5! + 6! + ....) is divided by 9?

The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4?

The least number which, when divided by 6, 9, 12, 15, and 18, leaves a remainder 5 in each case is:

If a number is divided by 15, it gives a remainder of 7. What will be the remainder when the square of this number is divided by 15?