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AP ICET
List of top Questions asked in AP ICET
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:
APICET - 2025
APICET
Mathematical Ability
Statistics
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:
APICET - 2025
APICET
Mathematical Ability
Statistics
From a well shuffled pack of cards (52), what is the probability the card drawn is a diamond, spade or a club?
APICET - 2025
APICET
Mathematical Ability
Statistics
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:
APICET - 2025
APICET
Mathematical Ability
Statistics
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 = ?
APICET - 2025
APICET
Mathematical Ability
Statistics
The standard deviation of 10, 16, 10, 16, 10, 10, 16, 16 is:
APICET - 2025
APICET
Mathematical Ability
Statistics
In a distribution if mean is 4 and coefficient of variation is 75%, then the variance is:
APICET - 2025
APICET
Mathematical Ability
Statistics
If the probability $P(x) = 0.8$ and $x = 3$, then find the expected value $E(x) = ?$
APICET - 2025
APICET
Mathematical Ability
Statistics
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:
APICET - 2025
APICET
Mathematical Ability
Statistics
If $f(x) + 2f(1/x) = 5x + 2$, for a polynomial $f(x)$, then $f(3) = ?$
APICET - 2025
APICET
Mathematical Ability
Algebra
If $a \sin\theta + b \cos\theta = c$, then $(a \cos\theta - b \sin\theta)^2 = ?$
APICET - 2025
APICET
Mathematical Ability
Trigonometry
Consider the logical statements P, Q and R. Then $(\sim P \lor R) \lor (P \land (\sim R \lor Q))$ is equivalent to:
APICET - 2025
APICET
Mathematical Ability
Algebra
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:
APICET - 2025
APICET
Mathematical Ability
Algebra
If $\pi/2 < x < \pi$ and $\tan x = -3/4$, then $\cos x = ?$
APICET - 2025
APICET
Mathematical Ability
Trigonometry
The four points (1,7), (4,2), (-1,-1), (-4,4) form a:
APICET - 2025
APICET
Mathematical Ability
Algebra
The equation of the straight line passing through the point (−1, 2) and perpendicular to the line $x + 3y = 4$ is:
APICET - 2025
APICET
Mathematical Ability
Algebra
$(\cot A - \cos A)/(\cot A + \cos A) - (\csc A - 1)/(\csc A + 1) = ?$
APICET - 2025
APICET
Mathematical Ability
Trigonometry
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 $r_1 + r_2 = ?$}
APICET - 2025
APICET
Mathematical Ability
Mensuration
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:
APICET - 2025
APICET
Mathematical Ability
Algebra
The population of a city increases by 5% annually. If the present population is 10,00,000, then the population after 3 years is:
APICET - 2025
APICET
Mathematical Ability
Arithmetic
The circumradius of a triangle with sides 7, 24, 25 is:
APICET - 2025
APICET
Mathematical Ability
Mensuration
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?
APICET - 2025
APICET
Mathematical Ability
Arithmetic
The least number which, when divided by 6, 9, 12, 15, and 18, leaves a remainder 5 in each case is:
APICET - 2025
APICET
Mathematical Ability
Arithmetic
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?
APICET - 2025
APICET
Mathematical Ability
Arithmetic
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?
APICET - 2025
APICET
Mathematical Ability
Arithmetic
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