MCQs on Number System
1) Can we write 0 in the form of p/q?
a. Yes
b. No
c. Cannot be explained
d. None of the above
Answer: a
Explanation: 0 is a rational number and hence it can be written in the form of p/q.
Example: 0/4 = 0
2) The three rational numbers between 3 and 4 are:
a. 5/2, 6/2, 7/2
b. 13/4, 14/4, 15/4
c. 12/7, 13/7, 14/7
d.11/4, 12/4, 13/4
Answer: b
Explanation: There are many rational numbers between 3 and 4
To find 3 rational numbers, we need to multiply and divide both the numbers by 3+1 = 4
Hence, 3 x (4/4) = 12/4 and 4 x (4/4) = 16/4
Thus, three rational numbers between 12/4 and 16/4 are 13/4, 14/4 and 15/4.
3) In between any two numbers, there are:
a. Only one rational number
b. Two rational numbers
c. Infinite rational numbers
d. No rational number
Answer: c
Explanation: Take the reference from question number 2 explained above.
4) Every rational number is:
a. Whole number
b. Natural number
c. Integer
d. Real number
Answer: d
5) √9 is __________ number.
a. A rational
b. An irrational
c. Neither rational nor irrational
d. None of the above
Answer: a
Explanation: √9 = 3
Hence, √9 is a rational number.
6) Which of the following is an irrational number?
a. √16
b. √(12/3)
c. √12
d. √100
Answer: c
Explanation: √12 cannot be simplified to a rational number.
7) 3√6 + 4√6 is equal to:
a. 6√6
b. 7√6
c. 4√12
d. 7√12
Answer: b
Explanation: 3√6 + 4√6 = (3 + 4)√6 = 7√6
8) √6 x √27 is equal to:
a. 9√2
b. 3√3
c. 2√2
d. 9√3
Answer: a
Explanation: √6 x √27 = √(6 x 27) = √(2 x 3 x 3 x 3 x 3) = (3 x 3)√2 = 9√2
9) Which of the following is equal to x3?
a. x6 – x3
b. x6.x3
c. x6/x3
d. (x6)3
Answer: c
Explanation: x6/x3 = x6 – 3 = x3
10) Which of the following is an irrational number?
a. √23
b. √225
c. 0.3796
d. 7.478478
Answer: a
Explanation: √23 = 4.79583152331…