The students of class 10 can consider this an online test for the real number chapter 1 MCQs. Once the question is solved, they can cross verify their answer with the provided solution.
1. The decimal expansion of 22/7 is
(a) Terminating
(b) Non-terminating and repeating
(c) Non-terminating and Non-repeating
(d) None of the above
Answer: (b) Non-terminating and repeating
Explanation: 22/7 = 3.14285714286..
2. For some integer n, the odd integer is represented in the form of:
(a) n
(b) n + 1
(c) 2n + 1
(d) 2n
Answer: (c) 2n + 1
Explanation: Since 2n represents the even numbers, hence 2n + 1 will always represent the odd numbers. Suppose if n = 2, then 2n = 4 and 2n + 1 = 5.
3. HCF of 26 and 91 is:
(a) 15
(b) 13
(c) 19
(d) 11
Answer: (b) 13
Explanation: The prime factorisation of 26 and 91 is;
26 = 2 x 13
91 = 7 x 13
Hence, HCF (26, 91) = 13
4. Which of the following is not irrational?
(a) (3 + √7)
(b) (3 – √7)
(c) (3 + √7) (3 – √7)
(d) 3√7
Answer: (c) (3 + √7) (3 – √7)
Explanation: If we solve, (3 + √7) (3 – √7), we get;
(3 + √7) (3 – √7) = 32 – (√7)2 = 9 – 7 = 2 [By a2 – b2 = (a – b) (a + b)]
5. The addition of a rational number and an irrational number is equal to:
(a) rational number
(b) Irrational number
(c) Both
(d) None of the above
Answer: (b) Irrational number
The addition of a rational number and an irrational number is equal to irrational number.
6. The multiplication of two irrational numbers is:
(a) irrational number
(b) rational number
(c) Maybe rational or irrational
(d) None
Answer: (c) Maybe rational or irrational
The multiplication of two irrational numbers is maybe rational or irrational.
7. If set A = {1, 2, 3, 4, 5,…} is given, then it represents:
(a) Whole numbers
(b) Rational Numbers
(c) Natural numbers
(d) Complex numbers
Answer: (c) Natural numbers
If set A = {1, 2, 3, 4, 5,…} is given, then it represents natural numbers.
8. If p and q are integers and is represented in the form of p/q, then it is a:
(a) Whole number
(b) Rational number
(c) Natural number
(d) Even number
Answer: (b) Rational number
If p and q are integers and is represented in the form of p/q, then it is a rational number.
9. The largest number that divides 70 and 125, which leaves the remainders 5 and 8, is:
(a) 65
(b) 15
(c) 13
(d) 25
Answer: (c) 13
Explanation: 70 – 5 = 65 and 125 – 8 = 117
HCF (65, 117) is the largest number that divides 70 and 125 and leaves remainder 5 and 8.
HCF (65, 117) = 13
10. The least number that is divisible by all the numbers from 1 to 5 is:
(a) 70
(b) 60
(c) 80
(d) 90
Answer: (b) 60
Explanation: The least number will be LCM of 1, 2, 3, 4, 5.
Hence, LCM (1, 2, 3, 4, 5) = 2 x 2 x 3 x 5 = 60
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