Multiple choice

Each question below is followed by two statements I and II. You are 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- (1) If the question can be answered by using statement I alone but cannot be answered by statement II alone. (2) If the question can be answered by using statement II alone but cannot be answered by statement I alone. (3) If both statements I and II together are required to answer the question. (4) If the answer can be found by using any of the two statements alone. (5) If both the statements together are not sufficient to answer the question.What is the age of Ravi at present? I. His present age is 4 times the present age of Ram. II. Five years ago Ravi's age was 7 times the age of Ram. .

  1. 1

  2. 2

  3. 3

  4. 4

  5. 5

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

Statement I gives the relation V = 4M, which is not sufficient alone. Statement II gives V - 5 = 7(M - 5), which is also not sufficient alone. Combining both statements gives a unique solution (Ram is 10 and Ravi is 40), so both statements together are required.

AI explanation

Statement I provides the equation R = 4r, where R is Ravi's present age and r is Ram's present age. Statement II states that 5 years ago, Ravi's age was 7 times Ram's age, providing the equation R - 5 = 7(r - 5). Substituting the first equation into the second gives 4r - 5 = 7r - 35, which allows you to solve for the exact values of their ages. Because you need the value from statement I to solve the equation given in statement II, both statements I and II together are required to answer the question.