Multiple choice

The question 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 Neena's present age ? (I) The ratio of present ages of Neena and Ritu is 16 : 5 (II) After 8 years the ratio of their ages will be 18 : 7.

  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 statement together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Statement I alone: Ratio Neena:Ritu = 16:5. This gives relationship but no actual values - not sufficient. Statement II alone: After 8 years, ratio = 18:7. Again just relationship - not sufficient. Both together: Let Neena = 16x, Ritu = 5x. After 8 years: (16x+8)/(5x+8) = 18/7. Solve: 7(16x+8) = 18(5x+8), 112x+56 = 90x+144, 22x = 88, x = 4. So Neena = 16×4 = 64 years. Both statements needed - answer is E.

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