Multiple choice

Passage

Each of the questions below consists of a question and three statements given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the three statements and give answer.

Ratio of the ages of A and B four years ago was 14:13. Find the present average age of A, C and D. I. Ratio of the present ages of A and C is 4:3 respectively. After four years, ratio of their ages will be 9:7 respectively. II. Average of the present ages of B and D is 33 years. III. Ratio of the present ages of C and D is 2:3 respectively.

  1. Only II and III

  2. All I, II and III

  3. I and either II or III

  4. Any one of the three

  5. I, II and III together are not sufficient.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

From given: (A-4)/(B-4) = 14/13. Statement I gives A/C = 4/3 and (A+4)/(C+4) = 9/7, allowing us to find A and C. Statement II gives (B+D)/2 = 33, so B+D = 66. Statement III gives C/D = 2/3. Using I we find A and C. Using either II or III with the B-A relationship, we can find D and compute the average of A, C, D. Thus I and either II or III are sufficient.

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