Find the number nearest to 12199 which is exactly divisible

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Find the number nearest to 12199 which is exactly divisible by the product of the first four
prime numbers.

1. 12229
2. 122208
3. 12280
4. 12180

Correct Option: D

As we know, the first four prime numbers are 2, 3, 5, 7
Their product = 2 × 3 × 5 × 7 = 210
Now, we divide 12199 by 210

Here, D – R = 210 – 19 = 191
So, (D – R) > R.
Hence, the required number
= 12199 – R = 12199 – 19
= 12180