GATE Questions

Q:

A number of cats got together and decided to kill between them 999919 rats. Every cat killed an equal number of rats. Each cat killed more rats than there were cats. How many rats do you think that each cat killed ?

A) 1009 B) 991
C) 2000 D) 1000
 
Answer & Explanation Answer: A) 1009

Explanation:

Given total number of rats = 999919

 

999919 = 1000000 - 81 = 10002 - 92 = (1000+9)(1000-9) = 1009 x 991.
Since there were more rats than there were cats, 991 cats killed 1009 rats each.

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Filed Under: Math Puzzles
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53 22289
Q:

A F Z U G L T _ 

Find the next letter in the above given letter series?

A) K B) M
C) O D) Q
 
Answer & Explanation Answer: C) O

Explanation:

Given series is A F Z U G L T _

Starts with A

A + 5 letters = F

go to end of alphabet= Z

Z - 5 letters = U

from F go one more to G + 5 letters = L

from U go one back to U, T - 5 letters = O

 

Second Method ::

Change the letters to their corresponding number.

A=1

B=2

C=3

...

Z=26

A F Z U G L T _

1 6 26 21 7 12 20 ?

Look at the pattern: the 1st and 3rd numbers = 27, 1+26

the 2nd and 4th numbers = 27, 6+21

the 5th and 7th numbers = 27,

so the 6 and 8th would also equal 27.

27 - 12 = 15,

so the letter is O.

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68 22187
Q:

Which of the Following is an Amorphous solid?

A) Quartz Glass(Sio2) B) Chrome Alum
C) Silicon Carbide(SiC) D) Graphite
 
Answer & Explanation Answer: A) Quartz Glass(Sio2)

Explanation:

An amorphous or non-crystalline solid is a solid that lacks the long-range order that is characteristic of a crystal. In Brief, An amorphous solid is any noncrystalline solid in which the atoms and molecules are not organized in a definite lattice pattern. Such solids include glass, plastic, and gel.

Quartz glass (SiO2) is an amorphous solid due to its short range order of constituent particles. Note Quartz is a crystalline solid while quartz glass is an amorphous solid.

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Filed Under: Chemistry
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52 22179
Q:

A letter is takenout at random from 'ASSISTANT'  and another is taken out from 'STATISTICS'. The probability that they are the same letter is :

A) 35/96 B) 19/90
C) 19/96 D) None of these
 
Answer & Explanation Answer: B) 19/90

Explanation:

ASSISTANTAAINSSSTT

STATISTICSACIISSSTTT

Here N and C are not common and same letters can be A, I, S, T. Therefore

 Probability of choosing A =  2C19C1×1C110C1 = 1/45 

 Probability of choosing I = 19C1×2C110C1 = 1/45

Probability of choosing S = 3C19C1×3C110C1 = 1/10

Probability of choosing T = 2C19C1×3C110C1 = 1/15

Hence, Required probability =   145+145+110+115= 1990 

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Filed Under: Probability
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97 22145
Q:

A can finish a work in 18 days and B can do the same work in half the time taken by A. then, working together, what part of the same work they can finish in a day ?

A) Total work B) One-fourth work
C) Half work D) Two-third work
 
Answer & Explanation Answer: C) Half work

Explanation:

A can do the work = 18 days
B can do the work = 18/2 = 9 days
(A + B)'s 1 day work = 1/18 + 1/9 = 1/6
=> In 3 days = 3x1/6 = 1/2 work is completed.

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Filed Under: Time and Work
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30 22140
Q:

What is the Study of human beauty called?

A) Argology B) Kalology
C) Agrostology D) Oncology
 
Answer & Explanation Answer: B) Kalology

Explanation:

The Study of human beauty and the ways in which beauty influences the society is called as Kalology.

 

What_is_the_Study_of_human_beauty_called1556276841.jpg image

      • This study is focused primarily on human attractiveness, rather than the broader field of aesthetics.

 

      • Opposite of beauty is Ugly.
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Filed Under: General Awareness
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66 22120
Q:

What value should come in place of the question mark (?) in the following question?

68 x ? - 3421 = 591

A) 3249 B) 3481
C) 3364 D) 3136
 
Answer & Explanation Answer: B) 3481

Explanation:

68 x ? - 3421 = 591? = 4012/68? = 59 x 59? = 3481

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0 21998
Q:

At what time, between 3 o’clock and 4 o’clock, both the hour hand and minute hand coincide each other  ? 

A) 3:16 7/11 B) 3:16 11/4
C) 3:30 D) 3:16 4/11
 
Answer & Explanation Answer: D) 3:16 4/11

Explanation:

Coincide means 00  angle.

This can be calculated using the formulafor time A to B means  [11m/2 - 30 (A)]

Here m gives minutes after A the both hands coincides.

Here A = 3, B = 4

0 =11m/2 –30 × 3
11m = 90 × 2 = 180
m= 180/11 = 16 4/11

So time = 3 : 16 4/11

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Filed Under: Clocks
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33 21987