GATE Questions

Q:

3 men, 4 women and 6 children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days  ?

A) 6 B) 9
C) 5 D) 7
 
Answer & Explanation Answer: D) 7

Explanation:

Let 1 woman's 1 day work = x.

Then, 1 man's 1 day work = x/2 and 1 child's 1 day work  x/4.

So, (3x/2 + 4x + + 6x/4) = 1/7

28x/4 = 1/7 => x = 1/49

1 woman alone can complete the work in 49 days.

So, to complete the work in 7 days, number of women required = 49/7 = 7.

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Filed Under: Time and Work
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83 37147
Q:

P, Q, R, S, T, U, V and W are sitting round the circle and are facing the centre:
P is second to the right of T who is the neighbour of R and V.
S is not the neighbour of P.
V is the neighbour of U.
Q is not between S and W. W is not between U and S.

Then Who is sitting opposite to U ?

A) Q B) P
C) R D) W
 
Answer & Explanation Answer: B) P

Explanation:

From the given information, the sitting arrangement can be

 P-Q-W-S-U-V-T-R  i.e. in circular as

p11487572312.jpg image

From the above figure it is clear that opposite to U is P.

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69 37030
Q:

One word substitution:

Commencement of words with the same letter.

A) Alliteration B) Oxymoron
C) Pun D) Transferred epithet
 
Answer & Explanation Answer: A) Alliteration

Explanation:

Alliteration is the one-word substitute for Commencement of words with the same letter.

 

Alliteration is a figure of speech which is identified as the occurrence of the same letter or sound at the beginning of adjacent or closely connected words.

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25 37015
Q:

8, 15, 28, 53, ?, 199

A) 101 B) 102
C) 103 D) 104
 
Answer & Explanation Answer: B) 102

Explanation:

Here the series of the form is x2 - 1, x2 - 2, x2 - 3,...

 53 x 2 - 4 = 106 - 4 = 102

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Filed Under: Number Series
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321 36610
Q:

Complete the Analogy?

 

Grain : Stock :: Stick : ?

A) Bundle B) String
C) Collection D) Heap
 
Answer & Explanation Answer: A) Bundle

Explanation:

Here the relation between the given words is that the second word is the collection of the first word.

As the collection of grains is called Stock, similarly, the collection of sticks is called as Bundle.

 

Hence, Grain : Stock :: Stick : Bundle.

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Filed Under: Analogy
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17 35989
Q:

A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is ?

A) 45 kmph B) 25 kmph
C) 30 kmph D) 50 kmph
 
Answer & Explanation Answer: D) 50 kmph

Explanation:

Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec.
[(25/2) x (18/5)] km/hr = 45 km/hr.
Let the speed of the train be 'S' km/hr.
Then, relative speed = (S - 5) km/hr.
S - 5 = 45 => S = 50 km/hr.

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Filed Under: Problems on Trains
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39 35869
Q:

Choose the word which gives similar meaning to the given word from the following options.

'Autopsy'

A) Diagnosis B) Rebuild
C) Manufacture D) Postmortem
 
Answer & Explanation Answer: D) Postmortem

Explanation:

Autopsy is the medical term for postmortem.

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Filed Under: Analogy
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18 35837
Q:

Which alphabet replaces the question mark ?

63 O 49
72 T 37
96 L 15
14 ? 58

A) A B) B
C) C D) D
 
Answer & Explanation Answer: C) C

Explanation:

6-3 = 3 9-4 = 5 (3x5=15) 15=O
7-2 = 5 7-3 = 4 (5x4=20) 20=T
9-6 = 3 5-1 = 4 (3x4=12) 12=L

Similarly, 4-1 = 3 8-5 = 1 (3x1=3) 3=C

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Filed Under: Alphabet Test
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43 35748