CAT Questions

Q:

Train K crosses a stationary Train L in 50 seconds and a pole in 20 seconds with the same speed. The length of the Train K is 240 meters. What is the length of stationary Train L ?

A) 60 mts B) 120 mts
C) 240 mts D) 360 mts
 
Answer & Explanation Answer: D) 360 mts

Explanation:

Speed of the Train K is given by s = d/t = 240/20 = 12 m/s
Distance covered by Train K in 50 seconds = 12 x 50 = 600 mts.
But it crosses Train L in 50 seconds
Therefore, the length of the Train L is = 600 - 240 = 360 mts.

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Filed Under: Problems on Trains
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10 11864
Q:

Five boxes of bananas sell for Rs. 30. how many boxes can you buy for Rs.9?

A) 2 B) 1.5
C) 1.25 D) 2.5
 
Answer & Explanation Answer: B) 1.5

Explanation:

Given Five boxes of bananas sell for Rs. 30.

=> 1 Box of Bananas for = 30/5 = Rs. 6

 

Then, for Rs. 9

=> 9/6 = 3/2 = 1.5

 

Hence, for Rs. 9, 1.5 box of bananas can buy.

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25 11855
Q:

A wholesale dealer allows a discount of 20 % on the marked price to the retailer. The retailer sells at 5% below the marked price. If the customer pays Rs.19 for an article, what profit is made by the retailer on it ?

A) Rs. 4 B) Rs. 3
C) Rs. 5 D) Rs. 1
 
Answer & Explanation Answer: B) Rs. 3

Explanation:

Let wholesaler dealers marked price = 100%, Retailer's C.P = 80%
And the retailer sells at 5% less than the marked price => S.P = 95%
If S.P of 95% of the retailer costs Rs.19 to customer,so its C.P of 80% will cost 80 x 19/95 = 16
Profit made by the retailer = 19-16 =  Rs.3

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Filed Under: Profit and Loss
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11 11851
Q:

 What is the name of the virus that fool a user into downloading and executing them by pretending to be useful applications  ?

A) Trojan horses B) Keylogger
C) Worm D) File virus
 
Answer & Explanation Answer: A) Trojan horses

Explanation:
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Filed Under: Computer
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32 11840
Q:

Lichens are the best indicator of

A) Air pollution B) Sound pollution
C) Noise pollution D) Water pollution
 
Answer & Explanation Answer: A) Air pollution

Explanation:

1. Lichens are plants that grow in exposed places such as rocks or tree bark.

 

2.  Lichens are widely used as environmental indicators or bio-indicators. They can be used as air pollution indicators, especially of the concentration of sulfur-di-oxide in the atmosphere.  

 

3. They need to be very good at absorbing water and nutrients to grow there.

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30 11817
Q:

In measuring the sides of a rectangle, one side is taken 20% in excess and the other 10% in deficit. Find the error per cent in area calculated from the measurement ?

A) 8% excess B) 9% deficit
C) 12% excess D) 11% deficit
 
Answer & Explanation Answer: A) 8% excess

Explanation:

Since  Area of Rectangle = side1 x side2
Therefore, error% in area
= x + y + xy100 %
= [20 - 10 + ( -10 x 20)/100]% or 8%
i.e. 8% excess.

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Filed Under: Percentage
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7 11812
Q:

Microphone : Loud :: Microscope : ?

A) Investigate B) Magnify
C) Examine D) Elongate
 
Answer & Explanation Answer: B) Magnify

Explanation:

As Microphone makes sound louder similarly Microscope makes the object magnified.

 

Hence, Microphone : Loud :: Microscope : Magnify.

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Filed Under: Analogy
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5 11804
Q:

A thief steals half the total number of loaves of bread plus 1/2 loaf from a bakery. A second thief steals half the remaining number of loaves plus 1/2 loaf and so on. After the 5th thief has stolen there are no more loaves left in the bakery. What was the total number of loaves did the bakery have at the beginning ?

A) 21 B) 11
C) 17 D) 31
 
Answer & Explanation Answer: D) 31

Explanation:

Let y be the total number of loaves
a be the remaining loaves after 1st thief
b be the remaining loaves after 2nd thief
and c, d..so on after 3 and 4 th
e = 0 be the remaining loaves after 5th thief

a = y - (y/2 + 1/2)
= y/2 - 1/2

b = a - (a/2 + 1/2)
= a/2 - 1/2

c = b - (b/2 + 1/2)
= b/2 - 1/2

d = c - (c/2 + 1/2)
= c/2 - 1/2

e = d - (d/2 + 1/2)
= d/2 - 1/2
we know that, e = 0,
thus by substitution, we get
d = 1
c = 3
b = 7
a = 15
y = 31
Therefore total number of bread loaves in bakery was 31.

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Filed Under: Numbers
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9 11802