List of top Mathematical Ability Questions asked in APICET

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

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:

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:

Four groups of students, consisting of 15, 20, 10 and 18 individuals, reported mean weights of 162, 148, 153 and 140 pounds respectively. The mean weight of all the students is:

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

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

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

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:

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

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

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

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

The population of a city increases by 5% annually. If the present population is 10,00,000, then the population after 3 years 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 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 equation of the straight line passing through the point (−1, 2) and perpendicular to the line $x + 3y = 4$ is:

A man on a boat goes 10 km upstream and comes back to the starting point in the same path in 55 minutes. If the speed of the stream is 2 kmph, then the speed of the boat in still water 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?