What is the least number, which when divided by 15, 80, 20 and 75 leaves remainder 14 in each case?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 1214.
L.C.M by prime factorization
⇒ 15 = 3 × 5
⇒ 80 = 2 × 2 × 2 × 2 × 5
⇒ 20 = 2 × 2 × 5
⇒ 75 = 5 × 5 × 3
L.C.M = 16 × 75 = 1200
Remainder = 14
Thus, the number will be = 1200 + 14 = 1214