CET 2025 Slot 1 · Quant – Page 8
All 50 Quant questions of CET 2025 Slot 1. Tap Show answer, or open the detailed solution (free login). Page 8 of 12.
The cost of running a movie theatre is Rs. 10,000 per day, plus additional Rs. 5000 per show. The theatre has 200 seats. A new movie released on Friday. There were three shows, where the ticket price was Rs. 250 each for the first two shows and Rs. 200 for the late-night show.
For all shows together, total occupancy was 80%. What was the maximum amount of profit possible ?
- 120000rs
- 116000rs
- 91000rs
- 95000rs
- 87500rs
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Answer: C. 91000rs
The least common multiple of a number and 990 is 6930. The greatest common divisor of that number and 550 is 110. What is the sum of the digits of the least possible value of that number ?
- 16
- 14
- 3
- 9
- 18
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Answer: B. 14
How many isosceles triangles with integer sides are possible such that sum of two of the side is 12 ?
- 16
- 17
- 24
- 2
- 23
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Answer: B. 17
A student is standing with a banner at the top of a 100 m high college building. From a point on the ground, the angle of elevation of the top of the student is 60° and from the same point, the angle of elevation of the top of the tower is 45°. Find the height of the student ?
- 35.7m
- 75.2m
- 50m
- 73.2m
- 75m
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Answer: D. 73.2m
Pipe A, B and C are kept open and together fill a tank in t minutes. Pipe A is kept open throughout, pipe B is kept open for the first 10 minutes and then closed. Two minutes after pipe B is closed, pipe C is opened and is kept open till the tank is full. Each pipe fills an equal share of the tank. Furthermore, it is known that if pipe A and B are kept open continuously, the tank would be filled completely in t minutes. How long will it take C alone to fill the tank ?
- 20min
- 24min
- 32min
- 48min
- 18min
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Answer: B. 24min