CUET General Test Question Paper 2024
| 51. | A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely? |
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A. 4 hours
B. 5 hours
C. 3 hours 30 minutes
D. 3 hours 45 minutes
View Answer Discuss Work SpaceAnswer: option d
Explanation:
The first tap fills half the tank in 3 hours. With four taps working together, the remaining half is filled in 3/4 hours. Total time = 3 + 3/4 = 3 hours 45 minutes.
| 52. | A train running at the speed of 80 km/h crosses a 350 m long tunnel in 36 seconds. The length of the train (in m) is: |
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A. 350
B. 380
C. 420
D. 450
View Answer Discuss Work SpaceAnswer: option c
Explanation:
Using the formula Speed = Distance / Time, calculate the total distance covered (length of train + tunnel) and subtract the tunnel length to find the train's length.
| 53. | If the mean of 3, 4, 9, 2k, 10, 8, 6, and (k + 6) is 8, and the mode of 2, 2, 3, 2p, (2p + 1), 4, 4, 5, and 6 (p is a natural number) is 4, then the value of (k - 2p) is: |
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A. 0
B. 1
C. 2
D. 3
View Answer Discuss Work SpaceAnswer: option b
Explanation:
Using the mean formula, solve for k. From the mode condition, solve for p. Subtract 2p from k to get the result.
| 54. | In triangle ABC, points D and E are on AB and AC respectively such that DE is parallel to BC. If AD = 6 cm, DB = 4 cm, AE = 9 cm, then the length of EC (in cm) is: |
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A. 7
B. 6.4
C. 6
D. 5.5
View Answer Discuss Work SpaceAnswer: option b
Explanation:
Using the Basic Proportionality Theorem (Thales’ theorem), AD/DB = AE/EC. Solving gives EC = 6.4 cm.