CAT Questions

Q:

Six persons A, B, C, D, E and F lives on 6 different floors of a same building. Bottommost floor is first, the floor above it is second and so on till topmost floor which is sixth. A lives on odd numbered floor. C lives immediately below A. Two floors gap between floors of C and F. D lives immediately above F. B lives above E, who lives below F. How many persons live below E? 

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

Explanation:

Floors   Persons

6.           D

5.           F

4.           B

3.           A

2.           C

1.           E

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Q:

At the university entrance exam, a candidate is admitted according to whether he has passed or failed the test. Of the candidates who are really capable, 80 % pass the test and of the incapable, 30 % pass the test. Given that 40 % of the candidates are really capable, then the proportion of the really capable students who can pass the test to the total students who can pass is about ?

A) 11/24 B) 1/5
C) 16/25 D) 6/5
 
Answer & Explanation Answer: C) 16/25

Explanation:

If there are total 100 candidates,
40 candidates are really capable and
60 candidates are incapable.
Of the candidates who are really capable = 80%
40*(80/100)=32 pass the test and
of the incapable= 30%
60*(30/100)=18 pass the test.
Total candidates who passed the test = 32+18 = 50
The proportion of the really capable students who can pass the test to the total students who can pass = 32/50 = 16/25.

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Filed Under: Ratios and Proportions
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5 6204
Q:

Kamal consistently runs 240 meters a day and on Saturday he runs for 400 meters. How many kilometers will he have to run in four weeks ?

A) 5.75 kms B) 7.36 kms
C) 8.2 kms D) 6.98 kms
 
Answer & Explanation Answer: B) 7.36 kms

Explanation:

Total running distance in four weeks = (24 x 240) + (4 x 400)

= 5760 + 1600

= 7360 meters

= 7360/1000

=> 7.36 kms

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Filed Under: Time and Distance
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7 6204
Q:

Give a possible molecular formula for C3H5ClO?

A) C6H10Cl2O2 B) C6H10O2
C) C6H10ClO2 D) C6H12Cl2O2
 
Answer & Explanation Answer: A) C6H10Cl2O2

Explanation:
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Filed Under: Chemistry
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0 6202
Q:

"Kalinga Prize" associated with which of the following fields  ?

A) Sports B) Journalism
C) Science D) Literature
 
Answer & Explanation Answer: C) Science

Explanation:
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Filed Under: Honours and Awards
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14 6200
Q:

Consider 5 independent Bernoulli’s trials each with probability of success p. If the probability of at least one failure is greater than or equal to 31/32 , then p lies in the interval ?

A) [1, 32] B) (0, 1)
C) [1, 1/2] D) (1, 1/2]
 
Answer & Explanation Answer: C) [1, 1/2]

Explanation:

Probability of atleast one failure
= 1 - no failure > 31/32
= 1 - P5 > 31/32
=  P5<1/32
= p < 1/2
Also p > 0
Hence p lies in [0,1/2].

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Filed Under: Probability
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5 6192
Q:

Which type of rock usually underlies a karst landscape?

A) Limestone B) Quartz
C) Granite D) All the above
 
Answer & Explanation Answer: A) Limestone

Explanation:

Karst is a type of landscape that is characterized by caverns, caves, sinkholes, and underground streams. These features were all caused by erosion of the underlying rock.

 

Limestone type of rock usually underlies a karst landscape.

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Filed Under: Indian Geography
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8 6190
Q:

The Dibang Wildlife Sanctuary is located in which state of India ?

A) Kerala B) Haryana
C) Arunachal Pradesh D) Maharashtra
 
Answer & Explanation Answer: C) Arunachal Pradesh

Explanation:

The Dibang Wildlife Sanctuary is one of the eight wildlife sanctuaries of Arunachal Pradesh, India.

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Filed Under: Indian Geography
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23 6189