Online Test — Number Systems
10 Questions • 15 min • Chapter MCQ
15:00
Question 1 of 10
medium
Which of the following is an irrational number?
√16
√25
√9
√7
Explanation: √7 = 2.645... non-terminating, non-repeating
Question 2 of 10
medium
The decimal expansion of 7/8 is:
Terminating
Non-terminating repeating
Non-terminating non-repeating
Cannot determine
Explanation: 8 = 2³, only prime factor 2, so terminates
Question 3 of 10
medium
Between which two integers does √20 lie?
3 and 4
4 and 5
5 and 6
6 and 7
Explanation: 16 < 20 < 25, so √16 < √20 < √25 → 4 < √20 < 5
Question 4 of 10
medium
Simplify: (√5 + √3)(√5 - √3)
2
8
2√15
√15
Explanation: (a+b)(a-b)=a²-b² = 5-3=2
Question 5 of 10
medium
Rationalize: 2/√7
2√7/7
√7/2
2√7
7√7/2
Explanation: Multiply numerator and denominator by √7
Question 6 of 10
medium
Simplify: (2³)² ÷ 2⁴
2
4
8
16
Explanation: (8)²=64, 64÷16=4; or 2⁶÷2⁴=2²=4
Question 7 of 10
medium
Which of the following is a rational number?
π
e
√2
0.3̅
Explanation: 0.3̅ = 1/3, a rational number
Question 8 of 10
medium
The value of (27)²/³ is:
3
6
9
18
Explanation: ∛27=3, then 3²=9
Question 9 of 10
medium
Locate √10 on number line. It lies between:
2.5 and 3
3 and 3.5
3 and 4
3.5 and 4
Explanation: √10≈3.162, between 3 and 3.5
Question 10 of 10
medium
Simplify: 3√2 + 5√2 - √2
7√2
9√2
8√2
6√2
Explanation: 3+5-1=7, so 7√2