Correct Answer - Option 2 : 1712
The least possible number which when divided by 11, 12 and 13 leaves the remainder 7, 8 and 9
Concept used:
Basic concept of number system and LCM
In this type of question when a, b and c divided and leaves remainder d, e and f
If the difference of terms is same
Let (a - d) = (b - e) = (c - f) = K
∴ Required number is LCM of (a, b, c) -K
Calculation:
By using the identity
⇒ (11 - 7) = (12 - 8) = (13 - 9) = 4
Here the difference between the division and the respective remainder is same
∴ Required number = LCM of (11, 12 and 13) – 4 = 1712
Hence, option (2) is correct
