Multiple choice

Directions: In the following question, a given questions is followed by information in three statements. You have to decide the data in which statement (s) is sufficient to answer the question and mark your answer accordingly. What is the present age of D? Statement I - Ratio between present age of M and D is5:13. M is 9 year younger than P. Statement II - P's age after 9 year will be 33 years. The difference between D's age and M's age is same as the present age of P.

  1. Only Statement I alone.

  2. Only Statement II alone.

  3. Both Statements I and II together.

  4. Neither Statement I nor II is sufficient.

  5. Either Statement I or II.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I: M/D = 5/13, M = P-9. Statement II: P+9 = 33 => P=24. D-M = P = 24. We have M = 24-9 = 15. Then 15/D = 5/13 => D = 39. Both statements are needed.

AI explanation

Let the present ages of M, D, and P be m, d, and p. Statement I gives m divided by d equals 5 divided by 13 and m equals p minus 9, which is not enough to find d. Statement II gives p plus 9 equals 33, meaning p is 24, and states d minus m equals p; substituting p gives d minus m equals 24. Combining both statements, since m is 24 minus 9 equal to 15, then d equals 15 plus 24, which is 39, making both statements together sufficient.

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