In number system √2 is: Option 1: Rational number Option 2: Irrational number Option 3: Whole number Option 4: Complex number

Answer: Irrational number. Solution: √2 cannot be written as p/q with integers p and q, q ≠ 0. Its decimal expansion 1.41421... is non terminating and non repeating, so it is irrational.

Quantitative Reasoning

Number System

Easy

In number system √2 is:

Rational number

Irrational number

Whole number

Complex number

✅ Correct Option: 2

$\sqrt{2}$ cannot be written as $\frac{p}{q}$ with integers $p$ and $q$ , $q \neq 0$ . Its decimal expansion $1.41421...$ is non terminating and non repeating, so it is irrational.

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

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How many numbers between 11 and 90 are divisible by 7 ?

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Which of the following lists of numbers is/are an Arithmetic Progression?

(A) 2, 8, 14, 20,........

(B) 0, 4, 8, 12,........

(D) 21, 17,15,........

Choose the correct answer from the options given below:

2024

The sum of LCM and HCF of two numbers is 854. If the LCM is 60 times the HCF and one of the numbers is 70, then the other number is:

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The nearest integer to 6650 which is exactly divisible by 429 is

2022: 20 Aug Shift 1

Consider the series:

2, 3, 5, 7, 11, 13, 17, 19, 21, 23, 29

Find the number which is different from other similar numbers.

In number system √2 is:

Solution

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