CUET (UG) entrance exam Question Bank Solutions for General Test

What is the value of 1006² −1007 × 1005 + 1008 × 1004 − 1009 × 1003? 

If x = `5 + 2sqrt6`, then what is the value of  `(sqrt"x" + 1/sqrt"x")`?

T is son of R who is daughter-in-law of K. who is father of S, who is father of N, who is brother of T. How K is related to T?

Pointing to a lady in a photograph, Meera said, "Her father's only son's wife is my mother-in-law". How is Meera's husband related to that lady in the photo?

If 'A * B' means 'A is father of B', 'AxB' means 'A is mother of A' and 'A # B' means 'A is husband of B' then which of the following means 'P is grandson of Q'?

Pointing to a boy, Richa said, "He is the son of the wife of my grandmother's grandson". How is the boy related to Richa's mother?

Read the following information carefully and answer the questions which follow:

(i) 'A × B' means 'A is father of B'

(ii) 'A + B' means 'A is daughter of B'

(iii) 'A + B' means 'A is the mother of B'

(iv) 'A – B'. means 'A is brother of B"

Which of the following means that R is wife of P?

Ram is brother of Shyam, Mohan is father of Ram, Sohan is the brother of Radhika, Radhika is the daughter of Shyam. Who is the paternal uncle of Sohan?

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.