Common Admission Test (CAT) Questions and Answers with Explanation

Q:

A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most ?

A) 215	B) 268
C) 254	D) 216

Answer & Explanation Answer: A) 215

Explanation:

Since each ring consists of six different letters, the total number of attempts possible with the three rings is = 6 x 6 x 6 = 216. Of these attempts, one of them is a successful attempt.

Maximum number of unsuccessful attempts = 216 - 1 = 215.

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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27 30933

Q:

In a scheme, a pack of three soaps with MRP Rs.45 is available for Rs.42. If it still gives a profit of 5% to the shopkeeper, then the cost price of the pack is ?

A) 38	B) 39
C) 40	D) 41

Answer & Explanation Answer: C) 40

Explanation:

Given M.P=45,S.P=42, Profit = 0.05

Let C.P=x , Then

Profit = (42-x)/x = 0.05
=> x = 40.

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Filed Under: Profit and Loss
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58 30737

Q:

A boat takes 19 hours for travelling downstream from point A to point B and coming back to a point C which is at midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B ?

A) 180 km	B) 160 km
C) 140 km	D) 120 km

Answer & Explanation Answer: A) 180 km

Explanation:

Speed in downstream = (14 + 4) km/hr = 18 km/hr;

Speed in upstream = (14 – 4) km/hr = 10 km/hr.

Let the distance between A and B be x km. Then,

x/18 + (x/2)/10 = 19 ⇔ x/18 + x/20 = 19 ⇒ x = 180 km.

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Filed Under: Boats and Streams
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90 30577

Q:

Brass gets discoloured in air because of the presence of which of the following gases in air ?

A) Hydrogen sulphide	B) Oxygen
C) Nitrogen	D) Carbon dioxide

Answer & Explanation Answer: A) Hydrogen sulphide

Explanation:

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Filed Under: Chemistry
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145 30309

Q:

"I am five times as old as you were, when I was as old as you are", said a man to his son. Find out their present ages, if the sum of their ages is 64 years ?

A) Father = 50; Son =14	B) Father = 40; Son =24
C) Father = 60; Son =4	D) Father = 48; Son =16

Answer & Explanation Answer: B) Father = 40; Son =24

Explanation:

Let the present age of the man be 'P' and son be 'Q',
Given, P + Q = 64 or Q = (64 - P)
Now the man says "I am five times as old as you were, when I was as old as you are",
So, P = 5[B - (P - Q)]
We get 6P = 10Q,
Substitute value for Q,
6P = 10(64 - P),
Therefore P = 40, Q = 24.

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Filed Under: Problems on Ages
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111 30293

Q:

Every year before the festive season,a shopkeeper increases the price of the product by 35% and then introduce two successive discount of 10% and 15% respectively.what is percentage loss and percentage gain ?

A) 3.27 % loss	B) 4.15 % loss
C) 3.27 % gain	D) 4.15 % gain

Answer & Explanation Answer: C) 3.27 % gain

Explanation:

Let cp= 100,
35 % increase in sp=135
10 % discount in 135((135*10)/100)=13.5
so 1st sp=(135-13.5)=121.5, again 15 % discount in 1st sp((121.5*15)/100)=18.225
2nd sp=(121.5-18.225)=103.275,

so finally cp=100,sp=103.275 ,gain by 3.27%

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Filed Under: Profit and Loss
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50 30166

Q:

I go in dry and come out wet, The longer I’m in, the stronger it will get.

What am I?

A) Soap	B) Brush
C) Tea bag	D) All of the above

Answer & Explanation Answer: C) Tea bag

Explanation:

Tea bag is what it will go in dry and come out wet, the longer it is in, the stronger the tea we will get.

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Filed Under: Word Puzzles
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

14 30099

Q:

Arrange the given words in the sequence in which they occur in the dictionary.

i. Permanence
ii. Permanent
iii. Permafrost
iv. Permeability

A) ii, iii, iv, i	B) iii, ii, i, iv
C) iv, ii, i, iii	D) iii, i, ii, iv

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