A number less than 500, when divided by 4, 5, 6, 7 leaves remainder 1 in each case. The number is · ABC26GN0549

Subject: General Aptitude · Chapter: H.C.F. and L.C.M. of Numbers · Exam: Hotel Management 2007

A number less than 500, when divided by 4, 5, 6, 7 leaves remainder 1 in each case. The number is

(a)211

(b)420

(c)421

(d)441

Answer

Answer (as printed): C

Explanation

L.C.M. of 4, 5, 6, $7=420$. $$\therefore \quad \text { Required number }=420+1=421 .$$

Explanation as extracted from the printed page; notation may be imperfect.

Study loop for H.C.F. and L.C.M. of Numbers