Subject: General Aptitude · Chapter: H.C.F. and L.C.M. of Numbers · Exam: 2006 · Marks: · Difficulty:
Find the least number which when divided by 12, leaves a remainder of 7 ; when divided by 15 , leaves a remainder of 10 and when divided by 16, leaves a remainder of 11.
(a)115
(b)235
(c)247
(d)475
Answer
Answer (as printed): B
Explanation
Here $(12-7)=5,(15-10)=5$ and $(16-11)=5$. $\therefore \quad$ Required number $=($ L.C.M. of 12, 15, 16) - 5 $$\text { = } 240-5=235 .$$
Explanation as extracted from the printed page; notation may be imperfect.