number system Model Questions & Answers, Practice Test for ibps rrb clerk asst multipurpose prelims 2024
ibps rrb clerk asst multipurpose prelims 2024 SYLLABUS WISE SUBJECTS MCQs
Number System
Lcm & Hcf
Simplification
Percentage
Time & Work
Time & Distance
Consider the following statements:
- 7710312401 is divisible by 11.
- 173 is a prime number.
Answer: (b)
Statement I:
Divisibility rule of 11: The difference between the sum of even places and the sum of odd places is 0 or that number is divisible by 11.
Difference = Sum of odd place – Sum of even place = 13 – 13 = 0, it is divisible by 11.
Statement II:
173 is square of approximately 13.
So, below 13 prime number are - 2, 3, 5, 7, 11
Now, 173 is not divisible by 2, 3, 5, 7 and 11.
So, it is a prime number.
So, both the statements I and II are correct.
Which one of the following is neither prime number nor composite number ?
Answer: (c)
Prime number:
A number that is divisible by itself and one excluding one.
So, 1 is not prime number.
Composite Number:
Natural numbers, which has more than 2 distinct factors are called composite numbers.
1 is not composite numbers.
The number of divisors of the number 38808, exclusive of the divisors 1 and itself is
Answer: (b)
38808 = $2^3 × 3^2 × 7^2 × 11$
∴ Number of divisors = (3 + 1)(2 + 1)(2 + 1)(1 + 1)
= 4 × 3 × 3 × 2 = 72
On excluding number '1' and '38808'.
Number of divisors = 72 – 2 = 70
The last two-digits in the multiplication 122 × 123 × 125 × 127 × 129 will be
Answer: (b)
The answer will be 50 since, 125*122 will give 50 as the last two digits.
Two different numbers when divided by the same divisor, left remainder 11 and 21 respectively, and when their sum was divided by the same divisor, remainder was 4. What is the divisor ?
Answer: (c)
Divisor = [Sum of remainders]
– [ Remainder when sum is divided]
= 11 + 21 – 4 = 28
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