1.Let p/q be a rational number. Then, the condition on q such that p/q has a nonterminating but repeating decimal expansion is:
a) q=2^{m}×5^{n}; m,n are whole numbers
b) q=2^{m}×3^{n}; m,n are whole numbers
c) q≠2^{m}×5^{n}; m,n are whole numbers
d) q≠2^{m}×3^{n}; 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 nonterminating repeating decimal expansion?
a) 15/1600
b) 35/50
c) 23/8
d) 17/6
4. The decimal expansion of ‘π’
a) is nonterminating and recurring
b) is terminating
c) is nonterminating and nonrecurring
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
Real Number Chapter  1 Quiz 2 Class 10th
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Question 1 of 10
1. Question
Let p/q be a rational number. Then, the condition on q such that p/q has a nonterminating but repeating decimal expansion is:
Correct
p/q has a nonterminating but repeating decimal expansion if q≠2m×5n; m,n are whole numbers
Incorrect
p/q has a nonterminating but repeating decimal expansion if q≠2m×5n; m,n are whole numbers

Question 2 of 10
2. Question
Which of the following numbers has terminating decimal expansion?
Correct
3/5 has terminal decimal expansion
because terminal decimal expansion should have the denominator 2 or 5 only.Incorrect
3/5 has terminal decimal expansion
because terminal decimal expansion should have the denominator 2 or 5 only. 
Question 3 of 10
3. Question
Which of the following numbers has nonterminating repeating decimal expansion?
Correct
17/6 has nonterminal repeating decimal expansion
because nonterminating repeating decimal expansion should have the denominator other than 2 or 5.Incorrect
17/6 has nonterminal repeating decimal expansion
because nonterminating repeating decimal expansion should have the denominator other than 2 or 5. 
Question 4 of 10
4. Question
The decimal expansion of ‘π’
Correct
The decimal expansion of ‘ππ’is nonterminating and nonrecurring.
The value of π = 3.141592653589……….
∴ Value of π is notrepeating decimal, nonterminating and nonrecurring numberIncorrect
The decimal expansion of ‘ππ’is nonterminating and nonrecurring.
The value of π = 3.141592653589……….
∴ Value of π is notrepeating decimal, nonterminating and nonrecurring number 
Question 5 of 10
5. Question
The decimal expansion of the rational number 14587/1250 will terminate after
Correct
14587/1250 = 14587/(2×54)
Here, in the denominator of the given fraction the highest power of prime factor 5 is 4, therefore, the decimal expansion of the rational number 14587/1250 will terminate after 4 decimal places.Incorrect
14587/1250 = 14587/(2×54)
Here, in the denominator of the given fraction the highest power of prime factor 5 is 4, therefore, the decimal expansion of the rational number 14587/1250 will terminate after 4 decimal places. 
Question 6 of 10
6. Question
The decimal form of 5/8 is
Correct
5/8 = 0.625
Incorrect
5/8 = 0.625

Question 7 of 10
7. Question
The HCF and LCM of two numbers is 9 and 459 respectively. If one of the number is 27, then the other number is
Correct
Using the result,
HCF × LCM = Product of two natural numbers
⇒ the other number = (9×459)/27 = 153Incorrect
Using the result,
HCF × LCM = Product of two natural numbers
⇒ the other number = (9×459)/27 = 153 
Question 8 of 10
8. Question
If HCF(a, b) = 12 and a × b = 1800, then LCM(a, b) is
Correct
Using the result,
HCF × LCM = Product of two natural numbers
⇒ LCM (a, b) = 1800/12 = 150Incorrect
Using the result,
HCF × LCM = Product of two natural numbers
⇒ LCM (a, b) = 1800/12 = 150 
Question 9 of 10
9. Question
The HCF of the smallest prime number and the smallest composite number is
Correct
Smallest prime number = 2
and smallest composite number = 4
∴ HCF (2, 4) = 2Incorrect
Smallest prime number = 2
and smallest composite number = 4
∴ HCF (2, 4) = 2 
Question 10 of 10
10. Question
The largest number which divides 33 and 75, leaving remainders 1 and 3 respectively is
Correct
Let us subtract 1 from 33 and 3 from 75 in order to find their HCF
33 – 1 = 32
75 – 3 = 72
to find HCF of 32 , 72
72 = 32 x 2 + 8
32 = 8 x 4 + 0
8 is the largest number which divides 33 and 75, leaving remainders 1 and 3 respectively.Incorrect
Let us subtract 1 from 33 and 3 from 75 in order to find their HCF
33 – 1 = 32
75 – 3 = 72
to find HCF of 32 , 72
72 = 32 x 2 + 8
32 = 8 x 4 + 0
8 is the largest number which divides 33 and 75, leaving remainders 1 and 3 respectively.