General Test Quantitative Reasoning questions from CUET UG 2023.
A and B are mutually exclusive events. The probability of occurrence of A is $\frac{3}{5}$ and the probability of occurrence of B as $\frac{1}{3}$. What is the probability of both A and B occurring at the same time?
A bag contains 5 black, 3 white and 2 red balls. Three balls are drawn in succession. What is the probability that the first ball is red, the second ball is black and the third ball is white?
A bag contains 6 red, 4 blue and 10 white balls. A ball is picked from the bag at random. What is the probability that it is neither white nor blue?
A dice is thrown twice. Find the probability of getting an odd number in the second throw and a multiple of 3 in the first throw.
A game consists of tossing a coin 3 times. Hanif wins if all the tosses give the same result. What is the probability that he loses the game?
A pair of dice is thrown. What is the probability of getting the sum of numbers on the two faces an odd-prime number?
A railway half-ticket costs half the full ticket. However the reservation charge for all the tickets is constant. One full reserved ticket for a journey is Rs.525. If the cost of one full and one half reserved ticket for the same journey is Rs.850, then what is the reservation charge per ticket?
'A' spins a spinner that is split into 10 equal sections marked as 1, 3, 2, 1, 2, 2, 3, 1, 2, 1. What is the probability that the spinner will land on number 2 ?
An equation of the type $y = kx$ (k $\neq$ 0) represents a line :
Find the 50th term of the A.P. 5, 11, 17, 23, ......
Find the A.P. whose 3rd term is 18 and 12th term is 72.
Find the length of the longest rod which can be used to measure exactly the lengths 5 m 13 cm, 11 m 34 cm and 12 m 15 cm.
Find the value of $\sqrt{6 + \sqrt{6 + \sqrt{6 + \sqrt{6 + \ldots}}}}$.
For which value of the k, the pair of linear equations has no solution $6x - 3y + 10 = 0$ and $kx - y + 9 = 0$ :
Four persons are choosen at random from a group of 3 men, 2 women and 4 children. The probability of having 2 children out of 4 is :
Given below are two statements: Statement (I): All natural numbers are rational numbers. Statement (II): 1 is the smallest prime number. In the light of the above statements, choose the most appropriate answer from the options given below:
How many 3 digit even numbers can be formed from the digits (0 - 9) if repetition of digits are allowed?
How many 3-digit even numbers can be formed by using the digits 1 to 9 if no digit is repeated ?
How many terms are there in the A.P. 3, 7, 11, ............ 407 ?
If 7-digit number 485A64B is divisible by 8 and 9, then find the greatest value of A + B.
If arithmetic mean and geometric mean of roots of a quadratic equation are 8 and 5 respectively, then the quadratic equation is:
If $243^{3x} = 27^{(4x-1)}$, then the value of $4^x$ is:
If $\frac{x}{(b-c)(b+c-2a)} = \frac{y}{(c-a)(c+a-2b)} = \frac{z}{(a-b)(a+b-2c)}$ then value of $x + y + z$ is:
If $5^x = 6^y = 30^7$, then what is the value of $\frac{1}{x}+\frac{1}{y}$ ?
If $P(E) = 0.05$, what is the probability of 'not E'?
In a 2-digit number, the ten's digit is two times its unit's digit and the number is 12 less than two times the number obtained by interchanging its digits. Find the original number.
Linear equations $3x + 5y = 19$ and $10x - 3y = 24$ have solution $x = \frac{\alpha}{3}$ and $y = \frac{\beta}{2}$, then the value of $\alpha + \beta$ is:
Match List - I with List - II. | List - I | List - II | | --- | --- | | (1) $14 - \frac{1}{10}(x+3) = \frac{5}{6}x$ | (I) 4 | | (2) $(x-5)^2 - (x+3)^2 = 48$ | (II) $-\frac{23}{2}$ | | (3) $6(x-4) = 4(x-3) - (3x-8)$ | (III) 61 | | (4) $(2x-1)(2x+3) = (2x-7)(2x+7)$ | (IV) $-2$ | Choose the correct answer from the options given below:
Simplify : $2 \times [4 - \{2 - (2-3) - (2+3)\} - 1] - 5 \times [-3 - (3-2)]$
The 10th term of the A.P. 1, 5, 9, 13, ..., is :
The ascending order of the numbers 0.8, 0.88, 0.808, 0.08 is
The difference between two numbers is 24. If one number is 2 times the second. Then the two numbers will be:
The difference between two numbers is 4 and there average is 6. The product of these numbers is:
The minimum number of colours to required paint all sides of a cube that no two adjacent faces may have the same colour is.
The product of two positive numbers is 189 and their quotient is $\frac{3}{7}$. Find the sum of these numbers.
The ratio of two numbers is 2:3 and their HCF is 4. Their LCM is :
The smallest five digit number which is exactly divisible by 12, 15 and 18 is:
The sum of an Infinite geometric series is 4 and the sum of the cubes of the terms of the same GP is 192. The common ratio of the original geometric series is:
The sum of the numerator and the denominator of a fraction is 11. If 1 is added to the numerator and 2 is subtracted from the denominator, it becomes $\frac{2}{3}$. The fraction is:
The unit digit in the product $(784 \times 618 \times 917 \times 463)$ is :
The value of $(625)^{-3/4}$ is:
Three coins are tossed once. Probability of getting no head is :
Tickets numbered from 1 to 20 are mixed and a ticket is drawn at random. What is the probability that the ticket drawn bears a number which is a multiple of 3?
What is the probability that a leap year selected at random, will have either 53 Sundays or 53 Saturdays ?
What is the probability that any non-leap year will have 53 Sundays?
What is the smallest square number which is divisible by 4, 6 and 32?
What is the value of $\left(1-\frac{1}{n}\right)+\left(1-\frac{2}{n}\right)+\left(1-\frac{3}{n}\right)+\cdots$ upto n terms?
Which fraction among $\frac{2}{3}$, $\frac{4}{5}$, $\frac{7}{11}$, $\frac{1}{3}$ is largest?
Which of the following is correct for divisibility? (1) A number is divisible by 6 if it is divisible by 3 or 2. (2) A number is divisible by 5 if its unit digit is 0 or 5. (3) A number is divisible by 3 if its unit digit is divisible by 3. (4) A number is divisible by 4 if the number formed by its last two digits is divisible by 4. Choose the correct answer from the options given below:
Which one of the following numbers is not a prime number?
Which should replace the question mark $(4.25 + 2.75)^2 + ? = 5^3 - (9 \times 8)$
Which term of the A.P. 7, 13, 19, 26, .... is 97 ?