Correct Answer - Option 3 : 3373
GIVEN:
Divisors = 9, 11, 18, 17
Remainder = 7
CONCEPT:
If we add the remainder with the L.C.M of the numbers, we will get the required number.
CALCULATION:
9 = 3 × 3
11 = 11 × 1
18 = 2 × 3 × 3
17 = 17 × 1
L.C.M of (9, 11, 18, 17) = 3 × 3 × 2 × 11 × 17 = 3366
⇒ Required number = 3366 + 7 = 3373
∴ The required smallest number is 3373.