Direction: Each of the following problems consist of a question followed by…
2025
Direction: Each of the following problems consist of a question followed by two statements, I and II. You must determine whether the information given by the statements is sufficient to answer the question asked. In addition to the information provided in the statements, you should rely on your knowledge of mathematics and ordinary facts (such as the number of seconds in a minute).
Is Raja older than Ramu?
I. Sita is 4 years younger than Raja and 2 years younger than Ramu.
II. The average age Raja and Ramu is 21 years.
- A.
if the question can be answered by using only statement I
- B.
if the question can be answered by using only statement II.
- C.
if the question can be answered by using both statements together, but cannot be answered using either statement alone.
- D.
if the question cannot be answered even by using both statements together.
Attempted by 366 students.
Show answer & explanation
Correct answer: A
Answer: Statement I alone is sufficient.
Let S = Sita's age, Rj = Raja's age, and Rm = Ramu's age.
From the given relationships in statement I: Rj = S + 4 and Rm = S + 2.
Subtracting these gives Rj - Rm = (S + 4) - (S + 2) = 2, so Raja is 2 years older than Ramu.
Analysis of statement II:
Statement II gives (Raja + Ramu)/2 = 21, so Raja + Ramu = 42, but does not give individual ages.
Different age pairs can sum to 42; for example, (Raja, Ramu) = (22, 20) makes Raja older, while (19, 23) makes Ramu older. Thus statement II alone is inconclusive.
Conclusion: Statement I alone is sufficient to determine that Raja is older than Ramu; statement II is not sufficient. Therefore the correct choice is the option indicating that the question can be answered using only the first statement.