2020 · Q120
A is the smallest positive integer which when divided by 9 and 12 leaves remainder 8. B is the smallest positive integer which when divided by 9 and 12 leaves remainder 5. Which one of the following is the value of A - B?
general-mental-abilityquantitative-aptitude
- A3
- B2
- C1
- D0
Explanation
LCM(9,12) = 36. The smallest positive integer leaving remainder 8 on division by both 9 and 12 is 8 itself (A = 8); for remainder 5 it is 5 (B = 5). So A − B = 8 − 5 = 3.