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Q #16
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Quants Question

Directions: Read the following information to answer the question.

A man travels form A to B at a speed of x kmph. He then rests at B or x hours. He then travels from B to C at a speed of 2x kmph and rests at C for 2x hours. He moves further to D at a speed twice as that between B and C. He thus reaches D in 16 hours. If distances A-B, B-C, C-D are all equal to 12 km, the time for which he rested at B could be:

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We are given that AB = BC = CD = 12 km. ∴ time taken to travel AB at a speed of x kmph is (12/x) hours. This is followed by a break of x hours. His speed from C to D is 2(2x) = 4x kmph. Continuing on these lines, we get, [(12/x) + x + (12/2x) + 2x + (12/4x)] = 16 hours. Solving we get x = 3.


Q #17
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Quants Question

Directions: Read the following information to answer the question.

Sunil is running laps of 400 meter in a park. He runs the first lap with a constant speed in exactly 1 minute and 40 seconds. Every following lap he increases he speed by 10% of previous speed without exceeding his personal limit of 1 minute and 20 seconds for one lap. How many laps at most will he complete?

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The maximum speed he can attain is 400/80 = 5m/s. The speed for first lap

is 400/100 = 4m/s. 5 > 4(1.1 )n–1 where n denotes the no. of laps. Maximum

value of n = 3.


Q #18
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Quants Question

In table tennis the first player to score 21 points wins. Service alternates between the two players every 5 points. A player can score points both during his service and his opponent’s service. Ali beat Badshah 21 – 16 in a game, 24 of the 37 points played were won by the player serving. Who served first?

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Q #19
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Quants Question

I have an amount of Rs 10 lakh, which I went to invest in stocks of some companies. I always invest only amounts that are multiples of Rs 1 lakh in the stock of any company. If I can choose from among the stocks of five different companies, In how many ways can I invest the entire amount that I have?

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