The following question consists of three statements I, II and III are given below. You have to decide whether the data provided in the statements are sufficient to answer the question.
What is two-digit number?
I. The number obtained by interchanging the digits of the number is greater than the original number by 18.
II. Sum of the digits of the number is 14.
III. Difference between the two digits of the number is 2.
(a) Any two of the three (b) I and II only
(c) II and either I or III only (d) III and either I or II only.
Question ID - 54335 | SaraNextGen Top Answer The following question consists of three statements I, II and III are given below. You have to decide whether the data provided in the statements are sufficient to answer the question.
What is two-digit number?
I. The number obtained by interchanging the digits of the number is greater than the original number by 18.
II. Sum of the digits of the number is 14.
III. Difference between the two digits of the number is 2.
(a) Any two of the three (b) I and II only
(c) II and either I or III only (d) III and either I or II only.
The following question consists of three statements I, II and III are given below. You have to decide whether the data provided in the statements are sufficient to answer the question.
What is two-digit number?
I. The number obtained by interchanging the digits of the number is greater than the original number by 18.
II. Sum of the digits of the number is 14.
III. Difference between the two digits of the number is 2.
(a) Any two of the three (b) I and II only
(c) II and either I or III only (d) III and either I or II only.
Let the ten’s digit be 
and the unit’s digit be 
I and II:
or 
and 
So, 
Required number = 68.
II and III:
Solving 
we get 
Required number either 68 or 86.
I and III:
Since, the number obtained by interchanging the digits is greater, the ten’s digit is smaller than the unit’s digit.
Solving 
we get 
So, required number = 68.
Thus, II and either I or III gives the answer.