Question

since 11284 and 7655 leave the same remainder assume
[
begin{array}{l}
1284=P times Q_{1}+R quad text { and }
7655=P times Q_{1}+R
end{array}
]
Where ( P ) is me number (3-digit) with which they are divided, ( Q_{1} & Q_{2} ) are restaditiders, quotients and
R is the remainder
[
begin{aligned}
P_{x}left(Q_{1}-Q_{2}right) &=3629
P timesleft(Q_{2}-0,1right) &=191 times 19
end{aligned}
]
no. leanonly and fackor of since ( p ) is ( # begin{array}{c}2-d i g text { it } text { be ceval to } 191end{array} )
3629 it can ohily Sum of digik ( =9+1+1=11 )

# 10.11.2013, Ist silny 74. Two numbers 11284 and 7655 when divided by a certain num- ber of three digits, leaves the same remainder. The sum of dig- its of such a three-digit number is (2) 9 (1) 8 (3) 10 (4) 11 (SSC (10+2) Level Data Entry Operator & LDC Exam.

Solution