In number system 3√2, is? Option 1: Rational number Option 2: Irrational number Option 3: Natural number Option 4: Whole number

Answer: Irrational number. Solution: 2 has a non-terminating, non-repeating decimal expansion and cannot be written as p/q. Multiplying an irrational number by the non-zero rational 3 keeps it irrational, so 32 is irrational.

Quantitative Reasoning

Number System

Easy

In number system 3√2, is?

Rational number

Irrational number

Natural number

Whole number

✅ Correct Option: 2

$\sqrt2$ has a non-terminating, non-repeating decimal expansion and cannot be written as $\frac{p}{q}$ . Multiplying an irrational number by the non-zero rational 3 keeps it irrational, so $3\sqrt2$ is irrational.

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Consider the following statements

(A) To obtain prime numbers less than 121, we have to reject all the multiples of 2, 3, 5 and 7.

(B) Every composite number less than 121 is divisible by a prime number less than 11.

(D) 7710312401 is divisible by 11.

Which of the statement(s) given above is/are correct?

Choose the correct answer from the options given below:

In number system 3√2, is?

Solution

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