Question

10.11.2013, ISL ULU 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 (1) 8 (2) 9. (3) 10 (4) 110 (SSC (10+2) Level Data Entry Operator & LDC Exam

SSC CGL

Maths

Solution

105

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since 11284 and 7655 leave the same remainder [ begin{array}{l} text { assume } 1284=P times Q_{1}+R text { and } qquad 2655=P x Q+R end{array} ] Where ( P ) is me number (3-digit) with which they are divided, ( Q_{1} ) & ( Q_{2} ) are retwatioders, quotients and ( R ) is the nemainder [ begin{aligned} P xleft(Q_{1}-Q_{2}right) &=3629 P timesleft(Q_{2}-0,1right) &=191 times 19 end{aligned} ] since ( p ) is ( k a ) s-digit no. pomondy and fachor ( z ) 3629 it can ohily be equal to ( mid 91 ). ( operatorname{sum} delta f operatorname{dig}^{prime}(x)=9+|+|=1 mid )