What is the least possible number which when divided by 11, 12 and 13

1.	What is the least possible number which when divided by 11, 12 and 13 leaves the remainder 7, 8 and 9?1. 17142. 17123. 17164. 1718
Answer» 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

What is the least possible number which when divided by 11, 12 and 13 leaves the remainder 7, 8 and 9?1. 17142. 17123. 17164. 1718

Answer» 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

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