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in Number System by (115k points)

Find the smallest 4 digit number which when divided by 28, 36, 54 gives a remainder of 7 in each case.


1. 1619
2. 1520
3. 1620
4. 1519

1 Answer

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Correct Answer - Option 4 : 1519

Given:

The smallest 4 digit number then divide by 28, 36, 54 gives a remainder as 7.

Calculation:

LCM of (28,36,54) + 7 will be the number that we have to find

LCM of (28,36,54) will be

28 = 4 × 7

36 = 4 × 9 

54 = 6 × 9

LCM will be = 9 × 4 × 3 × 7 = 756

But we have to find the smallest 4 digit number

⇒ 756 × 2 = 1512 + 7

The smallest number is 1519.

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