Multiple choice

Directions: The question given below is followed by three statements (A), (B) and (C). You have to determine which statement(s) is/are sufficient/necessary to answer the question. What is the present age of Mohan? A. 6 years hence, the total ages of Mohan and his brother will be 9 times the difference of their ages. B. The sum of present ages of Mohan and his brother is 5 times the difference of their ages. C. Mohan is 3 years elder than his brother.

  1. Only statement A

  2. Only statement B

  3. Only statement C

  4. Any two of them

  5. All three statements
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let M be Mohan's age and B be his brother's age. Statement A gives (M+6) + (B+6) = 9(M-B). Statement B gives M+B = 5(M-B). Statement C gives M = B+3. Using any two statements allows you to solve for the two variables M and B.

AI explanation

Let Mohan's present age be m and his brother's present age be b, where their constant age difference is (m - b). Statement A yields the equation (m + 6) + (b + 6) = 9(m - b). Statement B yields the equation m + b = 5(m - b). Statement C provides the simple equation m - b = 3. Any two of these three statements will form a solvable system of linear equations to uniquely determine m and b, so any two of them are sufficient.

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