Multiple choice

Directions: The question below is followed by two statements A and B. You are to determine whether the data given in the statements is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answer. The ages of Neera and Shalu are in the ratio of 2 : 1. What is the age of Shalu? (A) The ages of Shalu and Sugandha are in the ratio of 2 : 1. (B) After 4 years, the ratio of Neera's and Shalu's ages will be 3 : 2.

  1. If statement (A) alone is sufficient to answer the question, but statement B alone is not sufficient

  2. If statement (B) alone is sufficient to answer the question, but statement A alone is not sufficient

  3. If both statements (A) and (B) together are needed to answer the question

  4. If either statement (A) alone or statement (B) alone is sufficient to answer the question

  5. If you cannot get the answer from statements (A) and (B) together, but need even more data
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Neera be 2x and Shalu be x. Statement B says (2x+4)/(x+4) = 3/2. Solving this: 4x + 8 = 3x + 12, so x = 4. Shalu's age is 4. Statement A only relates Shalu to Sugandha, which does not help find Shalu's age.

AI explanation

Statement A only relates Shalu and Sugandha, providing no specific age values, so it is insufficient. Statement B provides the ratio equation (2x + 4) divided by (x + 4) equals 3 divided by 2, where 2x and x are the present ages of Neera and Shalu. Solving this gives 4x + 8 = 3x + 12, which means x = 4 and allows us to find Shalu's age. Therefore, statement B alone is sufficient to answer the question, but statement A alone is not.

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