UPSC 2002 › CSAT › Quantitative Aptitude
11 questions · 2002 · answers as per the UPSC key
A complete cycle of a traffic light takes 60 seconds. During each cycle the light is green for 25 seconds, yellow for 5 seconds and red for 30 seconds. At a randomly chosen time, the probability that the light will not be green is
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A trader fixed the price of an article in such a way that by giving a rebate of 10 % on the price fixed he made a profit of 15 %. If the cost of the article is Rs 72, the price fixed on it is
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Consider the volumes of the following:
- A parallelepiped of length 5 cm, breadth 3 cm and height 4 cm
- A cube of each side 4 cm
- A cylinder of radius 3 cm and length 3 cm
- A sphere of radius 3 cm The volumes of these in the decreasing order is
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A train of length 150 metres, moving at a speed of 90 km/hr can cross a 200-metre bridge in
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The age of a man is three times the sum of the ages of his two sons. Five years hence, his age will be double the sum of the ages of his sons. The father’s present age is
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The length of the longest pole that can be placed in a room 12 m long and 9 m wide and 8 m high is
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In a company 60 % of the employees are men. Of these, 40 % are drawing more than Rs 50,000 per year. If 36 % of the total employees of the company draw more than Rs 50,000 per year, what is the percentage among women who are drawing less than Rs 50,000 per year?
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A bus is moving at 30 km/h, and a car is coming from behind at 50 km/h. How far apart are they if it takes 15 minutes for the car to catch up with the bus?
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Two ladies simultaneously leave cities A and B connected by a straight road and travel towards each other. The first lady travels 2 km/hr faster than the second lady and reaches B one hour before the second lady reaches A. The two cities A and B are 24 km apart. How many kilometres does each lady travel in one hour?
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Amit started a business by investing Rs 30,000. Rahul joined the business after some time and invested Rs 20,000. At the end of the year, profit was divided in the ratio of 2 :
- After how many months did Rahul join the business?
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The time in the wall clock is 3.25; the acute angle between the hours hand and the minutes hand is