CUET UG 2022 — Quantitative Reasoning

The sum of greatest five digits and lowest/smallest four digits number is:

Find the value of $(25)^3 + (-29)^3 + (4)^3$

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

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

Match List I with List II | | LIST I (Equations) | | LIST II (Solutions) | |---|---|---|---| | A. | $2x - 4 = 2 - x$ | I. | $x = 3$ | | B. | $7 - 4x = 0$ | II. | $x = 2$ | | C. | $\frac{x}{2} - 3 = 0$ | III. | $x = \frac{7}{4}$ | | D. | $2x + 3 = x + 6$ | IV. | $x = 6$ | Choose the correct answer from the options given below:

The value of $\sqrt{.01} \times \sqrt[3]{.027} - 0.3$ is

A father said to his child, "I was as old as you are at the time of your birth". If the father's age is 48 years now, the child's age six years back was:

Consider the series: 2, 3, 5, 7, 11, 13, 17, 19, 21, 23, 29 Find the number which is different from other similar numbers.

The total age of P and Q is 18 years more than the total age of Q and R. R is how many years younger than P ?

Mohan's Mother is three times as old as Mohan. After 6 years, his mother will be two times as old as he will be them, find the age of Mohan.

The value of $\left(\frac{x}{y}\right)^{2a-3b} \times \left(\frac{x}{y}\right)^{3b-4c} \times \left(\frac{x}{y}\right)^{4c-2a}$

The value of $13.7 \times 12.7 \times 0.8$ is ______

How many students failed in both subjects English and Hindi ?

Simplify $2\frac{3}{4} \div 2\frac{2}{3} \div 1\frac{1}{12} = ?$

Find the LCM of $\frac{3}{5}$, $\frac{4}{9}$ and $\frac{5}{8}$ is

$-224 + (-314) \times 9 = ?$

The value of $\frac{(8.9)^2 - (2.1)^2}{8.9 - 2.1}$

The number of people owing books more than 20 but less than 60 is

Find the missing number in place of ? from the following given options. 

The greatest length of the scale that can measure exactly 20 cm, 90 cm, 1 m 25 cm and 1 m 30 cm length is:

If $(a+b)^2 = 5 + 2\sqrt{6}$, what can be the possible value of 'b' from the following?

Ratio $5^{8.14} : 5^{5.14}$ is equal to:

The LCM and HCF of two numbers are 35 and 15 respectively. The product of these numbers is ________.

The value of $x^{a-b} \times x^{b-c} \times x^{c-a}$ is:

If such type of dance programme well organized, how many dances are possible that each woman dance with opposite sex?

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

The total number of people owing books more than '40' is

The ratio of two numbers is 5 : 6 and their HCF is 8. What is the LCM of these numbers?

The value of $2 \div 2 - 2$

Match List I with List II: | List I | List II | | --- | --- | | A. Sum of first 5 primes | I. 15 | | B. Average of first 5 primes | II. 28 | | C. Sum of first 5 natural numbers | III. 3 | | D. Average of first 5 natural numbers | IV. 5.6 | Choose the correct answer from the options given below:

$-\sqrt{8} + \sqrt{128} - \sqrt{32}$ is equal to

What is the smallest number of five digits formed by using the digits 2, 4, 0, 3, 5 ?

If P consumes 1500 ml of milk every day. How many liters of milk will be consumed in 4 weeks ?

Find the smallest among the following ? $\sqrt[4]{6}, \sqrt{2}, \sqrt[3]{4}$ and $\sqrt{3}$

Find the greatest number that will divide 38, 88 and 163 so as to leave the same remainder in each case

Find the value of $\frac{5^{\frac{2}{3}} \times \sqrt[3]{5^7}}{\sqrt[3]{5^6}}$

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

When thrice of x is added to 7, we get 13, then the value of x is :

Number of applications received for admission in B.A. are :

How many times more applications are received for admission in B.A. in comparison to B.C.A ?

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

Let A be the greatest number that will divide 505, 555 and 605, leaving the same remainder in each case. Then sum of the digits in a is:

The value of $\left(\frac{8}{125}\right)^{\frac{-4}{3}}$ is __________

$\frac{1}{0.004}$ is equal to:

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

The total number of people surveyed is

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

Simplify $786 \times 237 + 786 \times 763 = ?$

Find the value of $\sqrt[3]{117649}$ =

If the cost of 4 pens and 6 note books is Rs 800, then find the cost of 6 pens and 9 note books.

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

Find the value of $\left(\sqrt[3]{\frac{125}{27}} - \sqrt[3]{\frac{512}{729}}\right) \div \sqrt[3]{\frac{64}{5832}}$ is

The value of x in the equation $2x - 3 = 7 - 3x$

Given set is (2, 17, 31) is set of: (a) Prime numbers (b) Whole numbers (c) Odd numbers (d) Even numbers Choose the correct answer from the options given below:

The value of $\frac{(2 \cdot 7)^3 - (2 \cdot 2)^3}{(2 \cdot 7)^2 + 2 \cdot 7 \times 2 \cdot 2 + (2 \cdot 2)^2}$ is

Distance of A to B is 

The value of $\frac{(793 + 232)^2 - (793 - 232)^2}{(793 \times 232)}$ is

Difference in the number of applications received for admission in B.Com. and B.Sc. is :

How many students failed in all three subjects English, Hindi and Mathematics ?

If $\sqrt[3]{x} = 2y$. Then, the value of $\frac{y^3}{x}$ is ______

The value of 'y' in the question $2x + 3y - 7 = 0$ if $x = -3/2$

$296 \times 296 - 204 \times 204 = ?$

The value of $3 - 3 \div 3$: