Multiple Choice Questions (MCQ)
NCERT
Class 10
English Medium
Mathematics
Class 10 Mathematics Chapter 1: Real Numbers Top 10 MCQs with Detailed Solutions
Comprehensive collection of multiple-choice questions for Class 10 Real Numbers with instant answer reveals and explanations.
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MCQ
According to Euclid's Division Lemma, for two positive integers a and b, there exist unique integers q and r such that a = bq + r, where r must satisfy:
A
1 < r < b
B
0 <= r < b
Correct Option
C
0 < r <= b
D
0 <= r <= b
Correct Option: (B)
The remainder r in Euclid's Division Lemma satisfies 0 <= r < b. It can be zero when a is completely divisible by b, and it must always be strictly less than the divisor b.
Your Choice: Option
Correct Option: (B)
The remainder r in Euclid's Division Lemma satisfies 0 <= r < b. It can be zero when a is completely divisible by b, and it must always be strictly less than the divisor b.
2
MCQ
The decimal expansion of the rational number 33 / (2^2 * 5) will terminate after how many places of decimals?
A
One decimal place
B
Two decimal places
Correct Option
C
Three decimal places
D
It will not terminate
Correct Option: (B)
33 / (2^2 * 5) = (33 * 5) / (2^2 * 5^2) = 165 / 100 = 1.65. Since the highest power of 2 or 5 in the denominator is 2, it terminates after exactly two decimal places.
Your Choice: Option
Correct Option: (B)
33 / (2^2 * 5) = (33 * 5) / (2^2 * 5^2) = 165 / 100 = 1.65. Since the highest power of 2 or 5 in the denominator is 2, it terminates after exactly two decimal places.
3
MCQ
If two positive integers p and q can be expressed as p = ab^2 and q = a^3b, where a and b are prime numbers, then LCM(p, q) is:
A
ab
B
a^2 b^2
C
a^3 b^2
Correct Option
D
a^3 b^3
Correct Option: (C)
LCM of prime factor expressions is obtained by taking the highest power of each prime factor involved: LCM = a^3 * b^2.
Your Choice: Option
Correct Option: (C)
LCM of prime factor expressions is obtained by taking the highest power of each prime factor involved: LCM = a^3 * b^2.
4
MCQ
The largest number which divides 70 and 125, leaving remainders 5 and 8 respectively, is:
A
13
Correct Option
B
65
C
875
D
1750
Correct Option: (A)
Subtract remainders: 70 - 5 = 65, and 125 - 8 = 117. Now find HCF(65, 117). 65 = 5 * 13, 117 = 9 * 13. HCF is 13.
Your Choice: Option
Correct Option: (A)
Subtract remainders: 70 - 5 = 65, and 125 - 8 = 117. Now find HCF(65, 117). 65 = 5 * 13, 117 = 9 * 13. HCF is 13.
Curriculum Details
- Board / Portal: NCERT
- Class: Class 10
- Subject: Mathematics
- Chapter: Real Numbers
- Format: Multiple Choice Questions (MCQ)
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