NIMCET 2010 — Reasoning PYQ

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Question

NIMCET 2010 — Reasoning PYQ

NIMCET | Reasoning | 2010

How many numbers from 1 to 100 are such each of which is divisible by 8 and whose at least one digit is 8

Choose the correct answer:

Explanation

1. Multiples of 8 up to 100:

$8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96$

2. Identifying numbers with at least one digit as '8':

8: Contains 8. ( $\checkmark$ )
$16, 24, 32, 40$ : Do not contain 8.
48: Contains 8. ( $\checkmark$ )
$56, 64, 72$ : Do not contain 8.
80: Contains 8. ( $\checkmark$ )
88: Contains 8. ( $\checkmark$ )
$96$ : Does not contain 8.

3. Counting the results:

The numbers are: $8, 48, 80, 88$ .

Total count = $4$

Conclusion:

There are four such numbers.

The correct answer is (a) Four.