Multiple choice

Directions: The given question is followed by two statements A and B. You have to determine which statement(s) is/are sufficient/necessary to answer the question. What is the sum of the age of person D after 10 years and the age of person A after 5 years? A. The sum of the present ages of persons A and B is 60 years and the age of person C after 7 years will be 52 years. B. The total present age of persons A, B, C and D is 145 years and the present age of A is 5/7 of the present age of B.

  1. Statement A alone is sufficient to answer the question, but statement B alone is not sufficient to answer the question.

  2. Statement B alone is sufficient to answer the question, but statement A alone is not sufficient to answer the question.

  3. Both the statements taken together are necessary to answer the question, but neither of the statements alone is sufficient to answer the question.

  4. Either statement A or statement B by itself is sufficient to answer the question.

  5. Statements A and B taken together are not sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement A gives info about A, B, and C. Statement B gives info about A, B, C, D and the ratio of A to B. Neither alone provides enough info to find the specific ages of D and A, but together they provide enough equations to solve for the variables.

AI explanation

Statement A provides the sum of the present ages of A and B (60 years) and allows us to find the present age of C (45 years), but it gives no information about D and does not specify the exact age of A. Statement B provides the sum of the present ages of A, B, C and D (145 years) and the ratio of A and B (5:7), which lets us find the exact present ages of A and B. By combining both statements, we have enough information to determine the exact present age of every person, which is required to calculate the sum of D's age after 10 years and A's age after 5 years. Since neither statement alone provides sufficient data to find the required ages, both statements taken together are necessary to answer the question.

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