Book Maths Puzzle Numerical Ability LCM and HCF

What is the greatest number which on dividing 1223 and 2351 leaves remainders 90 and 85 respectively?

Read Solution (Total 2)

first subtract 1223 - 90 = 1133
then subtract 2351 - 85 = 2266

finding greatest number means finding HCF

Divide 2266 by 1133 i.e 2266/1133 = 2 so answer is 1133
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89 is the answer
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Book Other Question

What is the least multiple of 7 which leaves a remainder of 4 when divided by 6, 9, 15 and 18 ? If HCF of two numbers is 11 and the product of these numbers is 363, what is the the greater number?