Common Admission Test (CAT) Questions and Answers with Explanation

Q:

A water tank in a village is normally filled in 8 hours but takes 2 hours longer to fill because of a leak in its bottom. If the tank is full, in how many hrs will the leak empty it ?

A) 34 hrs	B) 36 hrs
C) 38 hrs	D) 40 hrs

Answer & Explanation Answer: D) 40 hrs

Explanation:

The time taken by the leak to empty the tank = $\frac{1}{8} - \frac{1}{10} = \frac{5 - 4}{40} = \frac{1}{40}$

Therefore, the leak empties the tank in 40 hours.

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Filed Under: Pipes and Cistern
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Q:

A retailer cheats his wholesaler and customer both. He purchases 19% more from the wholesaler and sells 15% less while selling to its customer. What is profit percentage by selling the goods at cost price?

A) 35%	B) 40%
C) 42%	D) 46%

Answer & Explanation Answer: B) 40%

Explanation:

Tota profit percentage = (119 x 100/85) - 100 = 3400/85 = 40%

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Filed Under: Profit and Loss
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Q:

A bus covers its journey at the speed of 80km/hr in 10hours. If the same distance is to be covered in 4 hours, by how much the speed of bus will have to increase ?

A) 85 km/hr	B) 95 km/hr
C) 105 km/hr	D) 120 km/hr

Answer & Explanation Answer: D) 120 km/hr

Explanation:

Initial speed = 80km/hr
Total distance = 80 x 10 = 800km
New speed = 800/4 =200km/hr
Increase in speed = 200 - 80 = 120km/hr

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Filed Under: Time and Distance
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Q:

In very cold countries alcohol is used as a thermometric liquid because

A) alcohol is a poor conductor of heat	B) alcohol can be coloured for its level to be seen easily
C) its freezing point is very low	D) it will not stick to the glass tube

Answer & Explanation Answer: C) its freezing point is very low

Explanation:

Alcohol has a freezing point as low as $- 117^{o} C$ . So it won't freeze even in very cold countries.

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Filed Under: Physics
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Q:

What comes down but never goes up?

Answer

Rain is what only comes down but never goes up.

Workspace

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Subject: Word Puzzles Exam Prep: AIEEE , Bank Exams , CAT , GRE
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Q:

What gets wetter and wetter the more it dries?

A) Soap	B) Towel
C) Clothes	D) Sponge

Answer & Explanation Answer: B) Towel

Explanation:

Towel gets wetter and wetter the more it dries because we use that towel which is dried after used.

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Filed Under: Logic Puzzles
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Q:

P, Q, R, S, T and U are six consecutive odd numbers and their average is 52. What is the product of P and U ?

A) 2212	B) 2154
C) 2349	D) 2679

Answer & Explanation Answer: D) 2679

Explanation:

Let x, x+2, x+4, x+6, x+8 and x+10 are six consecutive odd numbers.

Given that their average is 52

Then, x + x+2 + x+4 + x+6 + x+8 + x+10 = 52×6

6x + 30 = 312

x = 47

So Product = 47 × 57 = 2679

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Filed Under: Average
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Q:

P and Q can do a work in 4 hours and 12 hours respectively. P starts the work at 9am and they work alternately for one hour each. When will the work be completed ?

A) 3 am	B) 12 pm
C) 1 pm	D) 3 pm

Answer & Explanation Answer: D) 3 pm

Explanation:

Work done by P and Q in the first two hours, working alternately

= First hour P + Second hour Q

$\Rightarrow \frac{1}{4} + \frac{1}{12} = \frac{1}{3}$

work is completed in 2 hours

Then, the total time required to complete the work by P and Q working alternately=2 x 3= 6hours

Thus, work will be completed at 3pm.

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Filed Under: Time and Work
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