Question

M is the largest three digit number which divided
by 6 and 5 leaves remainder 5 and 3 respectively.
What will be the remainder when M is divided by
11?
M तीन अंकों की सबसे बड़ी संख्या हैं जिसे, जब 6 तथा 5 से
विभाजित किया जाता है, तो शेषफल क्रमशः 5 तथा 3 आता है,
जब Mको 11 से विभाजित किया जाये तो शेषफल क्या होगा?
(a) 1
(b)2
(c)3
(d) 4​

Answer 1

Answer:

4

Step-by-step explanation:

Since M is the largest 3 digit number with certain conditions to be satisfied let us start with

Largest 3 digit number is 999.

999÷6 = 166 and reminder 3. If the reminder is to be 5 the number has to be 165*6+5=995

999÷5 = 199 and reminder is 4. If the reminder is to be 3 the number has to be 998.

If we reduce 6 from 995 continuously and reduce 5 from 998 both had to become same at some point. Thus

995–6=991; 991–6=983; 983–6=977

998–5=993; 993–5=988; 988–5=983

Therefore M=983

This 983÷11=89 and reminder is 4.