Multiple choice

Passage

Directions: The question below is followed by statements I and II. You are to determine whether the data given in the statements 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 question can be answered by using statement I alone but cannot be answered by statement II alone (b) if the question can be answered by using statement II alone but cannot be answered by statement I alone (c) if both statements I and II together are required to answer the question (d) if the answer can be found by using any of the two statements alone (e) if both the statements together are not sufficient to answer the question

Ratio of present ages of Rohit and Rahul is 2 : 3. Find Rahul's present age. I. Ratio of present ages of Rahul and Parul is 5 : 6. II. Parul's age is 8 years more than Rohit's age.

  1. (a)

  2. (b)

  3. (c)

  4. (d)

  5. (e)
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Rohit:Rahul = 2:3. Statement I gives Rahul:Parul = 5:6. Statement II gives Parul = Rohit + 8. We have a system of equations: Rohit = 2x, Rahul = 3x, Parul = 6/5 * Rahul = 18x/5. Then 18x/5 = 2x + 8. This allows solving for x and thus Rahul's age. Both are required.

AI explanation

From the given ratio, let the present ages of Rohit and Rahul be 2x and 3x. Statement I provides the ratio of Rahul and Parul as 5 to 6, making Parul's age 18x divided by 5, but this lacks a concrete value to solve for x. Statement II states Parul's age is 8 years more than Rohit's, meaning Parul is 2x plus 8, but this also cannot solve for x without more information. By equating the two expressions for Parul's age, 18x divided by 5 equals 2x plus 8, we can solve for x and find Rahul's age, meaning both statements together are required.

Keep practicing — related questions