# NCERT Class 10 Chapter 1 Real Numbers Official CBSE Board Sample Problems Multiple Choice Question (For CBSE, ICSE, IAS, NET, NRA 2022)

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## Question

**By Euclid՚s division lemma** **the value of q and r for** **and** **are**:

1)

2) Cannot be determined

3)

4)

## Quotation

**The decimal representation of** **will terminate after ________ decimal place**.

1) 1

2) 2

3) 3

4) Non-terminating number

## Question

**is a**

1) Rational number

2) Irrational number

3) A terminating decimal number

4) Both (a) and (c)

## Question

**If HCF of two numbers is 1, the numbers are called relatively ________ or ________**

1) Prime, Coprime

2) Composite, prime

3) Both (a) and (b)

4) None of these

## Question

**A lemma is an axiom used for proving**

1) Other statement

2) No statement

3) Contradictory statement

4) None of these

## Question

**For what least value of ‘n’ a natural number**, **is divisible by 8?**

1) 0

2) -1

3) 1

4) No value of n is possible

## Question

**is a**

1) Composite number

2) Prime number

3) Whole number

4) Both composite and whole number

## Question

**By Euclid՚s division lemma**, **then values of q and r for** **and** **are**:

1)

2)

3)

4)

## Question

**The HCF of** **and** **is**

1) 0

2) 1

3) 13

4) 26

## Question

**After how many places will decimal expansion of** **terminate?**

1) 2

2) 3

3) 4

4) Will not terminate

## Question

**Given positive integers x and y such that**, **where m and n are unique integers then**:

1)

2)

3)

4)

## Question

**Two positive integer a and b are written as** , **the LCM of** **is**

1)

2)

3)

4)