Multiple choice

Directions: The following problem consists of a question followed two statements I and II, giving certain data. Select the correct answer from the given options depending on the sufficiency of data given in the statements to answer the question. Mark answer (1) if statement I alone is sufficient and statement II alone is not sufficient to answer the question. (2) if statement II alone is sufficient and statement I alone is not sufficient to answer the question. (3) if both statements I and II together are sufficient but neither statement alone is sufficient to answer the question. (4) if both statements I and II together are not sufficient to answer the question and additional data specific to the question is needed. What is the present age of Sushma, if she is 20 years older than her son? (I) After 16 years, she will be twice old as her son. (II) Three years ago, Sushma's age was 7 times the age of her daughter.

  1. 1

  2. 2

  3. 3

  4. 4

  5. NA
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A Correct answer
Explanation

Statement I: S = s + 20 and S + 16 = 2(s + 16). This is a system of two equations with two variables, which is sufficient to solve for S.

AI explanation

From the main question, let Sushma's present age be S and her son's age be s, so S equals s plus 20. Statement I gives the equation S plus 16 equals 2 times the quantity of s plus 16; substituting S gives s plus 36 equals 2s plus 32, yielding s equals 4 and S equals 24. Statement II introduces an unknown daughter with no link to the son or Sushma's given 20-year age gap, so statement I alone is sufficient to find Sushma's age while statement II is not.

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