General Aptitude - 27.2 Problems on Numbers - Data Sufficiency 1 Free Online Tests | Mock Tests | Preparation | Practice Tests

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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.

A. I alone sufficient while II alone not sufficient to answer

B. II alone sufficient while I alone not sufficient to answer

C. Either I or II alone sufficient to answer

D. Both I and II are not sufficient to answer

E. None of the above

View Answer

Correct choice: C

Explanation:

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

I. x + y = 8 and	x	=	1
	y		3

∴ I gives, 4y = 24 ⇔ y = 6.

So, x + 6 = 8 ⇔ x = 2.

II. xy = 12 and	x	=	3
	y		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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