CAT Questions

Q:

A sum of Rs. 427 is to be divided among A, B and C in such a way that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal. The share of C is ?

A) 64 B) 76
C) 84 D) 98
 
Answer & Explanation Answer: C) 84

Explanation:

Given total sum = Rs. 427
And given that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal.
=> 3A = 4B = 7C
But given
=> A + B + C = 427
Now express A and B in terms of C i.e
=> (7C/3) + (7C/4) + C = 427
=> C = 84

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Filed Under: Partnership
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13 14753
Q:

Which of the following is not purely output device?

A) Printer B) Speaker
C) Plotter D) Screen
 
Answer & Explanation Answer: D) Screen

Explanation:

A touch screen is the only device which works as both an input and an output device among the given options. You view the options available to you on the screen (output) and you then use your finger to touch the option that you have chosen (input).

 

Hence, Screen is not purely output device.

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22 14752
Q:

A number, when 35 is subtracted from it, reduces to its 80 percent. What is four - fifth of that number  ?

A) 175 B) 140
C) 135 D) 95
 
Answer & Explanation Answer: B) 140

Explanation:

x - 35 = 80x/100 

=> x = 175 

=> 4x/5 = 4x175/5 = 140.

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Filed Under: Percentage
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18 14748
Q:

If 'x' means '-', '÷' means '+', '-' means '÷' and '+' means 'x', then 24 - 4 ÷ 6 x 3 + 4 = ?

A) 0 B) 1
C) 2 D) 3
 
Answer & Explanation Answer: A) 0

Explanation:

From the given information in the question
24 ÷ 4 + 6 - 3 x 4
6 + 6 - 12 = 0

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Filed Under: Arithmetical Reasoning
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17 14740
Q:

 ______ : trail :: grain : grail

A) path B) holy
C) train D) wheat
 
Answer & Explanation Answer: C) train

Explanation:

Train becomes trail when the "n" is replaced by an "l", and grain becomes grail when the "n" is replaced by an "l".

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Filed Under: Analogy
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19 14737
Q:

Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit ?

A) Rs. 17.80 B) Rs. 16.30
C) Rs. 14 D) Rs. 15.40
 
Answer & Explanation Answer: B) Rs. 16.30

Explanation:

C.P. of 50 kg wheat = (30 * 11.50 + 20 * 14.25) = Rs. 630.

S.P. of 50 kg wheat = 130% of Rs. 630 = 130/100 * 630 = Rs. 819.
S.P. per kg = 819/50 = Rs. 16.38 = 16.30.
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Filed Under: Profit and Loss
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20 14735
Q:

Two goods trains each 520 m long, are running in opposite directions on parallel tracks. Their speeds are 42 km/hr and 36 km/hr respectively. Find the time taken by the slower train to cross the driver of the faster one ?

A) 60 sec B) 48 sec
C) 45 sec D) 34 sec
 
Answer & Explanation Answer: B) 48 sec

Explanation:

Relative speed = 42 + 36 = 78 km/hr = 653 m/s

Distance = (520 + 520) =1040 mts.

Time = 1040×365= 48 sec

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Filed Under: Problems on Trains
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9 14706
Q:

Who set up the world's first floating ATM ?

A) Bank of America B) Barclays Bank
C) Axis Bank D) State Bank of India
 
Answer & Explanation Answer: D) State Bank of India

Explanation:

India's banking behemoth -- the State Bank of India -- has set up the world's first-ever floating ATM on a boat in Kerala. The boat with the ATM on board will berth at jetties in Kerala's huge backwaters through which thousands of people travel daily.

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Filed Under: General Awareness
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36 14700