Quantitative Reasoning

Number System

Easy

In a number system $\sqrt{3}$ is:

Complex number

Irrational number

Rational number

Whole number

✅ Correct Option: 2

The square root of a positive integer that is not a perfect square cannot be written as $p/q$ with integers $p$ and $q$ .

Since $3$ is not a perfect square, $\sqrt{3}$ is irrational, with a non-terminating and non-repeating decimal expansion.

2025: 14 May Shift 1

Consider the following statements

(A) The difference between the place values of 9 and 5 in the number 639457 is 4.

(B) The number π is an irrational number.

(D) The difference between the face values of 5 and 3 in number 475839 is 2.

Choose the correct answer from the options given below:

2022: 20 Aug Shift 1

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

2026: 6 June Shift 1

Which of the following numbers is divisible by 11?

2022: 23 Aug Shift 1

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

2025: 20 May Shift 2

Match List-I with List-II

List-I	List-II
(A) The least number that must be subtracted from 2025 to get a number exactly divisible by 17	(I) 5
(B) The least number that must be added to $1057^{5}$ to get a number exactly divisible by 23	(II) 2
(C) Unit digit of $6^{15}-7^4$	(III) 0
(D) Find the product of any number and the 1st whole number	(IV) 1

Choose the correct answer from the options given below:

2022: 20 Aug Shift 1

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

In a number system 3\sqrt{3}3​ is: