Chapter 1 Real Numbers- MCQ Online Test 2 Class 10 Maths

1.Let p/q be a rational number. Then, the condition on q such that p/q has a non-terminating but repeating decimal expansion is:
a) q=2^m×5ⁿ; m,n are whole numbers
b) q=2^m×3ⁿ; m,n are whole numbers
c) q≠2^m×5ⁿ; m,n are whole numbers
d) q≠2^m×3ⁿ; m,n are whole numbers

2. Which of the following numbers has terminating decimal expansion?
a) 3/7
b) 3/5
c) 3/11
d) 5/3

3. Which of the following numbers has non-terminating repeating decimal expansion?
a) 15/1600
b) 35/50
c) 23/8
d) 17/6

4. The decimal expansion of ‘π’
a) is non-terminating and recurring
b) is terminating
c) is non-terminating and non-recurring
d) does not exist

5. The decimal expansion of the rational number 14587/1250 will terminate after
a) 3 decimal places
b) 2 decimal places
c) 4 decimal places
d) 1 decimal place

6. The decimal form of 5/8 is
a) 0.750
b) 0.375
c) 0.600
d) 0.625

7. The HCF and LCM of two numbers is 9 and 459 respectively. If one of the number is 27, then the other number is
a) 135
b) 150
c) 153
d) 459

8. If HCF(a, b) = 12 and a × b = 1800, then LCM(a, b) is
a) 900
b) 150
c) 90
d) 1800

9. The HCF of the smallest prime number and the smallest composite number is
a) 4
b) 1
c) 2
d) 0

10. The largest number which divides 33 and 75, leaving remainders 1 and 3 respectively is
a) 8
b) 12
c) 16
d) 6