Correct Answer - Option 4 : 464
Given:
A number leaves the remainder 2 on dividing by the numbers 7, 11, 14, 21 and 22.
Concept used:
Least number which leaves same remainder on dividing a, b, c, d and e = LCM of (a, b, c, d and e) + Remainder
Calculation:
LCM of 7, 11, 14, 21 and 22 = 462
Required number = LCM of 7, 11, 14, 21 and 22 + remainder
⇒ Required number = 462 + 2 = 464
∴ Required number is 464
