Multiple choice

Passage

Directions: In the following problem, a question followed by two statements A and B is given. Mark your answer using the following instructions. Mark (a) if the question can be answered by using one of the statements alone, but cannot be answered by using the other statement alone. Mark (b) if the question can be answered by using either statement alone. Mark (c) if the question cannot be answered even by using both the statements together. Mark (d) if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.

5 friends - Ashish, Bikram, Chintoo, Dimple and Ekam - have distinct numbers of marbles with them, according to the table given below: | S No. | Name | No. of marbles | |---|---|---| | 1 | Ashish | 5 | | 2 | Bikram | 6 or 8 | | 3 | Chintoo | 7, 8 or 9 | | 4 | Dimple | 9 or 10 | | 5 | Ekam | 8, 9 or 10 | Who among the 5 friends has the highest number of marbles? A: The total number of marbles with the 5 friends is 38. B: The sum of the total number of marbles with Bikram and Dimple is twice the number of marbles with Chintoo.

  1. (a)

  2. (b)

  3. (c)

  4. (d)
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement A: Total = 38. Ashish=5. Bikram+Chintoo+Dimple+Ekam = 33. Given the ranges, this restricts the possibilities. Statement B: B+D = 2C. Using both statements, we can solve for the specific values of the marbles to determine the maximum.

AI explanation

Using statement A, if the total is 38, then the sum of Bikram, Chintoo, Dimple, and Ekam is 33. Using statement B, the sum of Bikram and Dimple is twice Chintoo, meaning Bikram plus Dimple equals 2 times Chintoo. Combining both statements, we get 3 times Chintoo plus Ekam equals 33. Since Chintoo could be 8 or 9, and Ekam could be 8, 9 or 10, there are multiple valid combinations that fit these conditions without giving a unique highest value. Therefore, both statements together are still insufficient to determine who has the highest number of marbles.

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