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Find the greatest number of four digits which when divided by 10,11,15 and 22 leaves 3,4,8 and 15 as remainders respectively. (stepwise) a)9907 b)9903 c)9983 d)none of these

Find the greatest number of four digits which when divided by 10,11,15 and 22 leaves 3,4,8 and 15 as remainders respectively. (stepwise)
a)9907             b)9903
c)9983             d)none of these

Grade:12th pass

1 Answers

Harsh Patodia IIT Roorkee
askIITians Faculty 907 Points
9 years ago
10-3 =7
11-4= 7
15-8=7
22-15=7
As the difference between divisor and remainder is constant we subtract this from highest muliplt to get th desired result.
FInd LCM of 4 numbers and find the greatest multiple of that in 4 digits and subtract 7 from that.
LCM (10,11,15,22)= 330
Greatest Multiple of that in 4 digits = 9900
Subtract 7 from that you will get 9893.
So D is correct answer.

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