Keerthana
Posted on

What is the two digit number ?

I. Difference between the digits is 7.

II. Sum of the digits is 11.

a

if the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question

b

if the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question

c

if the data either in statement I alone or in statement II alone is sufficient to answer the question.

d

if the data in both the statements I and II together are not sufficient to answer the question.

e

if the data in both the statements I and II together are necessary to answer the question.

Answer : Option D
Explanation :

Let the number be 10x + y

From statement I,

x y = 7 or y x = 7 ....(i)

From Statement II,

x + y = 11 ....(ii)

Now, solving x y = 7 and x + y = 11,

we get x = 9, y = 2

Solving y x = 7 and x + y = 11,

we get y = 9 and x = 2

Hence, the possible numbers are 92 and 29. Clearly, uniqueness of answer is not satisfied.

Rate This:
NaN / 5 - 1 votes
Profile photo for Dasaradhan Gajendra