Natural numbers, prime numbers, composite numbers, and integers all are part of the number system which is part of any placement test and govt exams.
- Level of Difficulty – East or Medium
Number System Mock Test
What is the Highest Common Factor of 2³ × 3⁵ and 3³ × 5²?
- 2³ × 3⁵ × 5²
- 1
- 2¹ × 3³ × 5¹
- 3³
The correct answer is 3³.
If the Highest Common Factor of two numbers is 8, then which of the following cannot be their Least Common Multiple?
- 72
- 24
- 68
- 4
The correct answer is 68.
What will be the highest number which when divides 52 and 104 leaves remainder 4 and 8 respectively?
- 12
- 48
- 16
- 26
The correct answer is 48.
Concept:
The required number will be Highest common factor of (52 – 4) and (104 – 8)
Calculation:
HCF of 48 and 96
48 = 24 × 3
96 = 25 × 3
∴ HCF = 24 × 3 = 48
Which of the following options is completely divisible by 11?
- 809781
- 963391
- 107611
- 116571
The correct answer is 963391.
If the number 59a44b is divisible by 36, then the maximum value of a + b is:
- 14
- 16
- 12
- 10
The correct answer is 14.
What is the least 5-digit number that is divisible by 91?
- 10010
- 10192
- 10283
- 10101
The correct answer is 10010.
The sum of two numbers is 47 and their product is 550. Find the sum of their squares.
- 986
- 876
- 1109
- 1209
The correct answer is 1109.
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