Multiple choice

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ? What is the present age of mother and daughter? I.(M + D = 70). 5 years ago mother's age was thrice the daughter's age. II. The difference between the ages of mother and daughter is 30 years. After 10 years mother's age will be thrice the daughter's age.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statements I and II together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I: M + D = 70. 5 years ago: (M-5) = 3(D-5). Two equations, two variables - solvable. Statement II: M - D = 30. After 10 years: (M+10) = 3(D+10). Two equations, two variables - solvable. Since each statement alone is sufficient to find both ages, answer C is correct.

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