Multiple choice

Each question below is followed by two statements A and B. You have to determine whether the data given in the statement is sufficient to answer the question. You should use the data and your knowledge of mathematics to choose between the possible answers. Give answer: (a)if the statement A alone is sufficient to answer the question, but the statement B alone is not sufficient. (b)if the statement B alone is sufficient to answer the question, but the statement A alone is not sufficient. (c)if the both statement A and B together are needed to answer the question. (d)if either the statement A alone or B alone is sufficient to answer the question. (e)if you cannot get the answer from the statements A and B together, but needed even more data.What will be Suraj's age after eight years? A. The ratio between Kamya's and Suraj's present age is 4 : 7 respectively. B. Kamya is 15 yr younger than Suraj.

  1. (a)

  2. (b)

  3. (c)

  4. (d)

  5. (e)

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement A gives a ratio (4:7), which doesn't provide absolute ages. Statement B gives a difference (15 years). Together, let ages be 4x and 7x. 7x - 4x = 15 -> 3x = 15 -> x = 5. Suraj's age is 35, so after 8 years he is 43. Both are needed.

AI explanation

Statement A gives the ratio of present ages as K / S = 4 / 7, and statement B states that Kamya is 15 years younger than Suraj, giving the equation S - K = 15. Using the ratio from statement A, let their ages be 4x and 7x; substituting this into the equation from statement B gives 7x - 4x = 15. Solving this yields x = 5, making Suraj's present age 35 years and his age after 8 years 43 years. Therefore, both statements A and B together are needed to answer the question.