Problems on Numbers - Arithmetic Aptitude Questions and Answers

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What is the number?

I. The sum of the two digits is 8. The ratio of the two digits is 1 : 3.

II. The product of the two digit of a number is 12. The quotient of two digits is 3

I alone sufficient while II alone not sufficient to answer

II alone sufficient while I alone not sufficient to answer

Either I or II alone sufficient to answer

Both I and II are not sufficient to answer

Both I and II are necessary to answer

Answer : Option C

Explanation :

Let the tens and units digit be x and y respectively. Then,

I. x + y = 8 and \( \frac {X } { Y }\)=\(\frac { 1 } {3 }\)

I gives, 4y = 24 y = 6.

So, x + 6 = 8 x = 2.

II. xy = 12 and\( \frac {X } { Y }\)=\(\frac { 3 } {1 }\)

II gives, x² = 36 x = 6.

So, 3y = 6 y = 2

Therefore, Either I or II alone sufficient to answer.

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