Real Numbers — sample questions with answers.

4683 verified real numbers questions sit in the bank for this chapter alone. Here are 4 of them, worked; a free account gets a full, board-pattern paper across whichever chapters you pick.

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1 mark Assertion–Reason

Assertion (A): LCM

.
Reason (R): The LCM of two numbers is the product of the greatest power of each prime factor involved in the numbers.

(A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).	(B) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
(C) Assertion (A) is true but Reason (R) is false.	(D) Assertion (A) is false but Reason (R) is true.

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(D)

2 marks Short answer

Explain why

is a composite number.

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It is

, so it has a factor other than

and itself

3 marks Short answer

A shopkeeper has

red balloons and

green balloons. She wants to arrange them in rows so that every row holds the same number of items and no row mixes the two kinds. She proposes

rows of each kind. Is that possible? Justify your answer.

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No; HCF

5 marks Long answer

Prove that

is irrational. Hence show that

is also irrational.

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Both

and

are irrational.

This is a slice of one chapter. The full bank covers every chapter of CBSE Class 10 Mathematics, board-pattern, with a fresh answer key every time.

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