CUET (UG) entrance exam Question Bank Solutions

The Union Cabinet chaired by PM Modi has approved interlinking projects on which two rivers?

What was India's rank in the Human Development Index- 2019 released by the United Nations Development Programme (UNDP)?

If expression `x^3 + x^2 - 5x + λ`. is divisible by `(x - 2)` then what will be the value of λ?

The value of `(0.325 xx 0.325 + 0.175 xx 0.175 - 25 xx 0.00455)/(5 xx 0.0065 xx 3.25 - 7 xx 0.175 xx 0.025)`

If `x^2 + 1/x^2` = 11, then `x - 1/x` is equal to:

If `x = (2sqrt(6))/(sqrt(3) + sqrt(2))`, then what is the value of `(x + sqrt(2))/(x - sqrt(2)) + (x + sqrt(3))/(x - sqrt(3))`?

If 2^x = 4^y = 8^z and xyz = 288, then `1/(2x) = 1/(4y) + 1/(8z)` equal to

If `x - 1/x` = 11, then find the value of `(x^2 + 1/x^2)`.

Given `1/(6x) - 1/(5y) = 1/60` and `1/(2x) + 1/y = 11/60`. Find (x, y).

A train takes 3 hours to reach Agra from Delhi. If it reduces it's speed by 12 km/hr. it takes 45 minutes more for the journey. Find the distance between Delhi and Agra.

The total age of 23 boys and 32 girls is 573 years while that of 32 boys and 23 girls is 582 years. Find the average age of a boy and a girl respectively.

If 2a³ + 7a² – 2k is divided by (a² + 1), the remainder is – 2a. Find the value of k.

If `(a + 1/a)^2` = 3, then the value of `a^3 + 1/a^3` is

A two-digit number is thrice the sum of the digits. If 9 is subtracted from the number, it becomes twice the sum of the digits. Find the digit in the unit's place.

A has a total of 21 coins, comprising ₹ 5, ₹ 2 and ₹ 1 coins. Find the minimum no. of ₹ 1 coins with A if he has at least one coin of each, and the value of coins is ₹ 42.

If `x^4 + 1/x^4` = 119 and `x > 1`, then find the positive value of `x^3 - 1/x^3`.

If a represents ÷, b represents +, c represents − and d represents × then,

24 a 6 d 4 b 9 c 8 =?

Put the correct mathematical signs in the following equation from the given alternatives.

33 ? 11 ? 3 ? 6 ? = 115

If 'A # B' means 'A is greater than B', 'A $ B' means 'A is smaller than B' then what is the meaning of 'P # N $ Q'?

If '÷' means '+'; '−' means '×'; '+' means '−' and '×' means '÷', then-

14 − 4 × 7 ÷ 12 + 8 =?