Common Admission Test (CAT) Questions and Answers with Explanation

Q:

A booster pump can be used for filling as well as for emptying a tank. The capacity of the tank is 2400 $m^{3}$ . The emptying capacity of the tank is 10 $m^{3}$ per minute higher than its filling capacity and the pump needs 8 minutes lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump?

A) 50 m^3/min	B) 60 m^3/min
C) 72 m^3/min	D) None of these

Answer & Explanation Answer: A) 50 m^3/min

Explanation:

Let the filling capacity of the pump be x $m^{3}$ /min.

Then, emptying capacity of the pump=(x+10) $m^{3}$ /min.

so, $\frac{2400}{x} - \frac{2400}{x + 10} = 8 \Leftrightarrow x^{2} + 10 x - 3000 = 0$

$\Rightarrow (x - 50) + (x + 60) = 0 \Leftrightarrow x = 50$

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Filed Under: Pipes and Cistern
Exam Prep: CAT , Bank Exams , AIEEE
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38 21380

Q:

I cannot be other than what I am, Until the man who made me dies, Power and glory will fall to me finally, Only when he last closes his eyes.

I_cannot_be_other_than_what_I_am1542359496.jpg image

Answer

I am Prince of a Kingdom. I will be king only if the man who gave me birth i.e, king my father dies.

Workspace

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Subject: Word Puzzles Exam Prep: AIEEE , Bank Exams , CAT
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71 21347

Q:

A cow was standing on a bridge, 5m away from the middle of the bridge. A train was coming towards the bridge from the ends nearest to the cow. Seeing this cow ran towards the the train and managed to escape when the train was 2m away from bridge. If it had run in the opposite direction, it would hit by the train 2m before the end of the bridge. What is the lenght of the bridge in meters assuming the speed of the train is 4 times that of cow ?

A) 22 mts	B) 28 mts
C) 32 mts	D) 34 mts

Answer & Explanation Answer: C) 32 mts

Explanation:

let 'b' be the Length of bridge from cow to the near end of the bridge and 'a' be the distance of the train from the bridge.
'x' be speed of cow => '4x' speed of train
Then the total length of the bridge 2b + 10.
(a-2)/4x = b/x
=> a-2 = 4b........(1)
Now if it had run in opposite direction
(a+2b+10-2)/4x = (b+10-2)/x
=> a - 2b = 24......(2)
Solving (1) and (2)
b = 11 ,
Therefore length of the bridge is 2 x 11 + 10 = 32mts.

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Filed Under: Arithmetical Reasoning
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64 21343

Q:

Thunder is to Lightning as Grape is to

A) Wine	B) Soil
C) Seed	D) Water

Answer & Explanation Answer: C) Seed

Explanation:

Lightning produces thunder just as a seed will eventually produce a grape.

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Filed Under: Analogy
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19 21314

Q:

Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is:

A) 60 gallons	B) 100 gallons
C) 120 gallons	D) 180 gallons

Answer & Explanation Answer: C) 120 gallons

Explanation:

Work done by the waste pipe in 1 minute = $\frac{1}{15} - (\frac{1}{20} + \frac{1}{24}) = \frac{1}{15} - \frac{11}{120} = - \frac{1}{40}$ [-ve sign means emptying]

Volume of $\frac{1}{40}$ part = 3 gallons

Volume of whole = (3 x 40) gallons = 120 gallons.

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Filed Under: Pipes and Cistern
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37 21271

Q:

Find the next number in the series

404, 415, 402, 413, 400, ?

A) 411	B) 421
C) 417	D) 414

Answer & Explanation Answer: A) 411

Explanation:

The given series 404, 415, 402, 413, 400, ? follows a pattern that,

404

404 + 11 = 415

415 - 13 = 402

402 + 11 = 413

413 - 13 = 400

400 + 11 = 411

Hence the next number in the given number series is 411.

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Filed Under: Number Series
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10 21212

Q:

A polygon has 44 diagonals, then the number of its sides are ?

A) 13	B) 9
C) 11	D) 7

Answer & Explanation Answer: C) 11

Explanation:

Let the number of sides be n.

The number of diagonals is given by ⁿC₂ - n

^{Therefore, n}C₂ - n = 44, n>0

ⁿC₂ - n = 44

n²- 3n - 88 = 0

n²-11n + 8n - 88 = 0

n(n - 11) + 8(n - 11) = 0

n = -8 or n = 11.

As n>0, n will not be -8. Therefore, n=11.

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Filed Under: Permutations and Combinations
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25 21206

Q:

The two major types of computer chips are

A) Microprocessor	B) Primary memory
C) Both A & B	D) External memory

Answer & Explanation Answer: C) Both A & B

Explanation:

The two major types of computer chips are Microprocessor and Primary memory chips.

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Filed Under: Computer
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31 21162

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