Problems on Numbers - General Aptitude

Q1:

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 Both I and II are necessary to answer

ANS:C - Either I or II alone sufficient to answer

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.