What is a two-digit number if the ratio of the digit at ten's place to the digit at unit's place is 4 : 3 ? (I) The sum of the digits of a two-digit number is 14. (II) The digit at unit place is 75% o

• A. If the data in statement (II) alone is sufficient to answer the question, while that in statement (I) alone is not sufficient.
• B. If the data in statement (I) alone is sufficient to answer the question while that in statement (II) alone is not sufficient.
• C. If the data even in both statements (I) and (II) together is not sufficient to answer the question.
• D. If the data either in statement (I) alone or in statement (II) alone is sufficient to answer the question.

Answer: (B)

Let the number be 10x + y∴ 3x = 4y  ......(1)From (I),x + y = 14 .....(2)Solving equations (1) and (2),x = 8, y = 6∴ Number = 86 From (II)y = 75/100 x x ∴ 3x = 4y.Which is the same as eqn (1)