Problems on Numbers

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.



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