CAT 2022 Question Paper (Slot 1) - Quant Question 14

Question 14

The average of three integers is 13. When a natural number n is included, the average of these four integers remains an odd integer. The minimum possible value of n is


It is given that average of three numbers is 13.

Sum = 3*13 = 39

It is given, $$\ \frac{\ 39+n}{4}$$ is a odd number.

Minimum value $$\ \frac{\ 39+n}{4}$$ can take such that n is a natural number is 11

$$\ \frac{\ 39+n}{4}=11$$

n = 5

The answer is option C.

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Charul Chandwani

4 months, 2 weeks ago

How have we come down to the number 11, did not really understand it

Sreepurna Saha

3 months, 2 weeks ago

Find a number that is divisible by 4 and gives a odd vale.. so if you keep 40 as n it will give product as 10 but if you keep it as 44 it will give product 11 which is odd


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