# Most Important MCQ Questions for Class 10 Maths Chapter 1 Real Numbers with Answers

Find here the Most Important NCERT chapter-wise Multiple Choice Questions from Class 10 Maths with Answers Pdf free download. this may assist you to understand and check your knowledge about the chapters Most Important MCQ. Students also can take a free test of the Multiple Choice Questions of The chapters Most Important MCQ. Each question has four options followed by the right answer. These Most Important MCQ Questions are selected supported by the newest exam pattern as announced by CBSE.

(a) 45
(b) 17
(c) 75
(d) 135

(b) 17

## Q2. Write an irrational number between 2 and 3.

(a) 2.5
(b) 2.001
(c) 2.1333333456…
(d) 2.13

(c) 2.1333333456… non terminating non repeating

## Q3. Which of the following are irrational whose sum and product are both rationals :

(a) v2 + 3,v2 – 3
(b) v2 + v3,v2 – v3
(c) 3 + v2, 3 – v2
(d) v2 + 1,v2 – 1

(c) 3 + v2, 3 – v2 3 + v2 + 3 – v2 = 6 and (3+v2) (3-v2) =7

## Q4. Find the value of x from the following such that x2 is irrational but x4 is rational:

(a) v2
(b) 3v2
(c) 4v2
(d) 2

(c) 4v2 v2 is a irrational number.

(a) 3600
(b) 900
(c) 150
(d) 90

(c) 150

(a) 9765625
(b) 9775625
(c) 9785625
(d) 9865625

(a) 9765625

## Q7. The decimal expansion of n is

(a) terminating
(b) non-terminating and non-recurring
(c) non-terminating and recurring
(d) does not exist.

(b) non-terminating and non-recurring

(a) 4
(b) 2
(c) 1
(d) 3

(b) 2

(a) 13
(b) 26
(c) 7
(d) 9

(a) 13

(a) 8
(b) 9
(c) 25
(d) 1

(d) 1

(a) 2
(b) 1
(c) 3
(d) 4

(b) 1

## Q12. (-1)n + (-1)8n = 0 when n is

(a) any positive integer
(b) any odd natural number
(c) any even numeral number
(d) any negative integer

(b) any odd natural number

## Q13. n² – 1 is divisible by 8, if n is

(a) an integer
(b) a natural number
(c) an odd natural number
(d) an even natural number

(c) an odd natural number

(a) 2
(b) 3
(c) 5
(d) 7

(b) 3

(a) 2.5
(b) 5
(c) 7.5
(d) 0.875

(d) 0.875

## Q16. The least number, which when divided by 10,14 and 18, leaves remainder 4, is :

a) 630
(b) 634
(c) 252
(d) 496

(b) 634 Required number is the LCM of 10, 14 and 18 (is 630) + 4 = 630 + 4 = 634

## Q17. The greatest number which divides 17, 28 and 34 leaving remainders 2, 3 and 4 respectively is:

(a) 5
(b) 24
(c) 1
(d) 17

(a) 5 Here 17 – 2 = 15, 28 – 3 = 25, 34 – 4 = 30 Required number is the HCF of 15,25 and 30 = 5

a) 36
(b) 18
(c) 5
(d) 10

(c) 5

## Q19. he HCF of two consecutive rational numbers x and x +1 is :

(a) x
(b) x + 1
(c)1
(d) 0

(c)1 HCF of two consecutive numbers is always 1.

## Q20. The HCF of a number which is neither prime nor composite and any other number x is:

(a) x
(b) x + 1
(c) 1
(d) Any number

(c) 1 As, 1 is neither prime nor a composite number, thus, required number is the HCF of 1 and x, which is 1

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