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Multiple Choice Questions

Given Three numbers 17 42 and 93 Find the largest number to divide all the three numbers leaving the...........

Quantitative Aptitude (RAS) LCM, HCF

Given : Three numbers 17, 42 and 93

Find the largest number to divide all the three numbers leaving the remainders 4, 3, and 15 respectively at the end?

Explanation:

Here greatest number that can divide means the HCF
Remainders are different so simply subtract remainders from numbers
17 - 4 = 13; 42 - 3 = 39; 93 - 15 = 78
Now let's find HCF of 13, 39 and 78
By direct observation we can see that all numbers are divisible by 13.
∴ HCF = 13 = required greatest number

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