Below problem contains a question and two statements giving certain data. You…
2024
Below problem contains a question and two statements giving certain data. You have to select the correct answer from (a) to (e) depending on the sufficiency of the data given in the statements to answer the question. Mark your answer.
What is the distance from City A to City C in km?
(I) City A is 90 km from City B.
(II) City B is 30 km from City C. And city C is in between A and B.
- A.
If statement (I) alone is sufficient.
- B.
If statement (II) alone is sufficient.
- C.
If both (I) and (II) together are sufficient but neither of statements alone is sufficient.
- D.
Either of the statements (I) and (II) is sufficient.
Attempted by 253 students.
Show answer & explanation
Correct answer: C
Answer: 60 km
Given statements:
Statement (I): City A is 90 km from City B (AB = 90 km).
Statement (II): City B is 30 km from City C (BC = 30 km), and City C is between A and B.
Step-by-step reasoning:
Using statement (I) alone: AB = 90 km but no information about C, so AC cannot be determined.
Using statement (II) alone: BC = 30 km and C is between A and B, but AB is unknown, so AC cannot be determined.
Using both statements: since C is between A and B, AC = AB − BC = 90 − 30 = 60 km.
Conclusion: Both statements together are sufficient to find the distance AC = 60 km. Therefore the correct choice is the one that states both statements together are sufficient.