For the question that follows, please choose A/ B/ C/ D depending on how…
2023
For the question that follows, please choose A/ B/ C/ D depending on how statements i and ii help in answering it.
Problem Question: What is the monthly salary of my father?
Statements:
i) My father's and mother's salaries are in the ratio of 5:2 respectively.
ii) My mother's salary is 40% of my father's salary.
To answer the question, which of the following options best suits, by taking into account the given statements?
- A.
Statement i alone is sufficient
- B.
Statement ii alone is sufficient
- C.
Both the statements put together are sufficient
- D.
Both the statements put together are insufficient
Attempted by 54 students.
Show answer & explanation
Correct answer: D
Answer: Both the statements put together are insufficient.
Statement i: The ratio father:mother = 5:2 gives only a relationship between their salaries. It tells us the mother's salary is 2/5 (40%) of the father's, but does not give any absolute amount.
Statement ii: The mother's salary is 40% of the father's. This is the same relationship as in statement i (mother = 0.4 × father) and likewise provides no absolute salary value.
Combined: Both statements convey the same information (a proportional relationship) and do not supply any numerical salary or total. Without an absolute value, the father's monthly salary cannot be determined.
Therefore, the correct conclusion is that the given information is insufficient to find the father's monthly salary.