# Let x be the largest 4-digit number which is divisible by each of 16, 21, 24 and 28. The sum of the digits of X is:

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SSC MTS 2020 (Held On : 5 Oct 2021 Shift 3 ) Official Paper 3
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1. 19
2. 21
3. 24
4. 16

## Answer (Detailed Solution Below)

Option 3 : 24
Free
CT : GK (Ancient History)
143589
10 Questions 10 Marks 6 Mins

## Detailed Solution

Concept used:

LCM method to find the number

Calculation:

LCM of 16, 21, 24, 28 is 336

Now we know highest 4 digit number is 9999

So, the x should be close to 9999

If we divide 9999 by 336 we get 29 as quotitent

So the number is 29 × 336 = 9744

Sum of digit = 9 + 7 + 4 + 4 = 24

∴ Required answer is 24
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