# The following question consists of two statements I and II are given below. You have to decide whether the data provided in the statements are sufficient to answer the question. What is the original number? I. Sum of the two digits of a number is 10. The ratio between the two digits is 1:4. II. Product of two digits if a number is 16 and the quotient of two digits is 4. (a) The data in statement I alone was sufficient to the answer the question while II alone not sufficient to the answer the question. (b) The data in statement II alone are sufficient to answer the question while data in statement I alone are not sufficient to answer the question. (c) The data in statement I alone or in statement II alone are sufficient to answer the question. (d) The data in both statements I and II are not sufficient to answer the question.

## Question ID - 54327 | SaraNextGen Top Answer The following question consists of two statements I and II are given below. You have to decide whether the data provided in the statements are sufficient to answer the question. What is the original number? I. Sum of the two digits of a number is 10. The ratio between the two digits is 1:4. II. Product of two digits if a number is 16 and the quotient of two digits is 4. (a) The data in statement I alone was sufficient to the answer the question while II alone not sufficient to the answer the question. (b) The data in statement II alone are sufficient to answer the question while data in statement I alone are not sufficient to answer the question. (c) The data in statement I alone or in statement II alone are sufficient to answer the question. (d) The data in both statements I and II are not sufficient to answer the question.

Answer Key / Explanation : (b) -

Let the ten’s digit be  and the unit’s digit be

I.  and

II.  and

II gives . So,

Thus, II only gives answer, while I does not.