CAT Questions

Q:

Two pipes A and B can separately fill a cistern in 60 min and 75 min respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 min. In how much time, the third pipe alone can empty the cistern ?

A) 85 min B) 95 min
C) 105 min D) 100 min
 
Answer & Explanation Answer: D) 100 min

Explanation:

Work done by the third pipe in 1 min = 1/50 - (1/60 + 1/75) = - 1/100.
[-ve sign means emptying]

The third pipe alone can empty the cistern in 100 min.

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Filed Under: Pipes and Cistern
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7 8261
Q:

A earns 50% of B's salary, B earns 80% of C's salary. If the total earnings for a month is Rs. 22000, then what is the earning for A ?

A) Rs. 4000 B) Rs. 4200
C) Rs. 4400 D) Rs. 4600
 
Answer & Explanation Answer: A) Rs. 4000

Explanation:

Let C's salary be Rs. x

Then B's salary = 80x/100

=> A's salary = (50/100) * (80x/100) = 40x/100

But given total earnings in a month = 22000

=> x + 80x/100 + 40x/100 = 22000

=> x + 120x/100 = 22000

=> x = 10000

=> A's salary = 40 x 10000/100 = Rs. 4000 

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Filed Under: Percentage
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11 8254
Q:

Which state is known as land of setting sun in India?

A) Rajasthan B) Arunachal Pradesh
C) Kerala D) Gujarat
 
Answer & Explanation Answer: A) Rajasthan

Explanation:

Arunachal Pradesh is known as the land of rising sun whereas Rajasthan is known as the land of setting sun in Indian states.

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Filed Under: Indian Geography
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3 8246
Q:

Which of the following is the sixth to the left of the twentieth from the left end of the below arrangement ?
BM%R#J@K!DF69L4*15NEP23AYQZ#7UG

A) L B) K
C) 4 D) 9
 
Answer & Explanation Answer: A) L

Explanation:

The twentieth element in the above arrangement is 'E'.
Then, the sixth element to the left of 'E' is 'L'.

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Filed Under: Alphabet Test
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12 8241
Q:

What comes down but never goes up?

Answer

Rain is what only comes down but never goes up.

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10 8239
Q:

19 C in a CB

Answer

19 C in a CB means 19 Coins in a Carrom Board.


We have 9 white coins, 9 black coins and one red coin in a carrom board.

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Subject: Logic Puzzles Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
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19 8232
Q:

A rectangular grassy plot 120 m. by 60 m has a gravel path 1.5 m wide all round it on the inside. Find the cost of gravelling the path at 65 paise per sq. metre ?

A) Rs. 345.15 B) Rs. 245.1
C) Rs. 234.18 D) Rs. 456.65
 
Answer & Explanation Answer: A) Rs. 345.15

Explanation:

area of the plot = 120m x 60m = 7200 sq.m
area of plot excluding gravel = 117m x 57m = 6669 sq.m
area of gravel = 7200 sq.m - 6669 sq.m = 531 sq.m
cost of building it = 531 sq.m x 65 ps = 34515 ps
In Rs. = 34515/100 = Rs. 345.15.

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Filed Under: Area
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4 8232
Q:

The Shortest air route from Moscow to San Francisco is 

A) Over the Atlantic Ocean B) Over the Pacific via Siberia
C) Over the North pole D) Through the latitude which passes through them
 
Answer & Explanation Answer: A) Over the Atlantic Ocean

Explanation:

Moscow 37o and Los Angeles 118oW show a longitude difference of 155o across the Atlantic and of 205o across the Pacific.

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Filed Under: World Geography
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6 8226