CAT 2025 Slot 2 Question Paper with Solutions – Page 17
All 68 questions of CAT 2025 Slot 2. Tap Show answer, or open the detailed solution (free login). Page 17 of 19.
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There are six spherical balls, B1, B2, B3, B4, B5, and B6, and four circular hoops H1, H2, H3, and H4.
Each ball was tested on each hoop once, by attempting to pass the ball through the hoop. If the diameter of a ball is not larger than the diameter of the hoop, the ball passes through the hoop and makes a “ping”. Any ball having a diameter larger than that of the hoop gets stuck on that hoop and does not make a ping.
The following additional information is known:
1. B1 and B6 each made a ping on H4, but B5 did not.
2. B4 made a ping on H3, but B1 did not.
3. All balls, except B3, made pings on H1.
4. None of the balls, except B2, made a ping on H2.
Each ball was tested on each hoop once, by attempting to pass the ball through the hoop. If the diameter of a ball is not larger than the diameter of the hoop, the ball passes through the hoop and makes a “ping”. Any ball having a diameter larger than that of the hoop gets stuck on that hoop and does not make a ping.
The following additional information is known:
1. B1 and B6 each made a ping on H4, but B5 did not.
2. B4 made a ping on H3, but B1 did not.
3. All balls, except B3, made pings on H1.
4. None of the balls, except B2, made a ping on H2.
What was the total number of pings made by B1, B2, and B3?
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Answer: 6
Refer to the passage above ↑
Which of the following statements about the relative sizes of the balls is NOT NECESSARILY true?
- B4 < B5 < B3
- B1 < B6 < B3
- B2 < B1 < B5
- B1 < B5 < B3
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Answer: B. B1 < B6 < B3
Refer to the passage above ↑
Which of the following statements about the relative sizes of the hoops is true?
- H2 < H3 < H4 < H1
- H1 < H3 < H4 < H2
- H1 < H4 < H3 < H2
- H2 < H4 < H3 < H1
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Answer: A. H2 < H3 < H4 < H1
Refer to the passage above ↑
What BEST can be said about the total number of pings from all the tests undertaken?
- 12 or 13 or 14
- At least 9
- 12 or 13
- 13 or 14
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Answer: C. 12 or 13