CUET General Test Quantitative Reasoning > Miscellaneous PYQs

If the product of n positive numbers is $n^n$, then what is the minimum value of their average for n = 6?

If : $a + b + c = 14$ and $a^2 + b^2 + c^2 = 96$, then $(ab + bc + ca)$ is

If $\log_8 x = 2/3$, then the value of X 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:

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:

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 should replace the question mark $(4.25 + 2.75)^2 + ? = 5^3 - (9 \times 8)$

Find the 50th term of the A.P. 5, 11, 17, 23, ......

If $243^{3x} = 27^{(4x-1)}$, then the value of $4^x$ is:

Find the A.P. whose 3rd term is 18 and 12th term is 72.

The 10th term of the A.P. 1, 5, 9, 13, ..., is :

Which term of the A.P. 7, 13, 19, 26, .... is 97 ?

If $5^x = 6^y = 30^7$, then what is the value of $\frac{1}{x}+\frac{1}{y}$ ?

If arithmetic mean and geometric mean of roots of a quadratic equation are 8 and 5 respectively, then the quadratic equation 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.

How many terms are there in the A.P. 3, 7, 11, ............ 407 ?

If * is an operation such that a * b = 3a - 4b, find the value of 3*4

If $\Delta$ stands for the operation on adding first number to the twice of the second number. Then, find the value of $(2\ \Delta\ 3)\ \Delta\ 4$.

$4x^2 + 25 - 20x$ can be expressed as the square of:

Which is the greatest among $16\frac{2}{3}\%$, $6\frac{1}{2}\%$, $\frac{2}{17}$ and $0.173$ ?

Select the correct set of symbols which will fill in the given equation. $5\_0\_3\_5=20$

If W means '$\div$' X means '+', Y means '$-$' and Z means '$\times$' then $28Z3Y4X12W6= ?$

If $x - \frac{1}{x} = 3$, then the value of $x^2 + \frac{1}{x^2}$ is

If $m - n = 16$ and $m^2 + n^2 = 400$, the value of mn is