GATE Questions

Q:

Square is to Triangle and Cube is to

A) Pyramid B) Rectangle
C) Ice D) Rhombus
 
Answer & Explanation Answer: A) Pyramid

Explanation:

Square is 2-dimensional 4 sided figure Whereas Cube is 3-dimensional figure which looks like Square.

 

Similarly, Triangle is 2-dimensional 3 sided figure Whereas Pyramid is 3-dimensional figure which looks like Triangle.

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Filed Under: Analogy
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14 21921
Q:

Rain drops acquire spherical shape due to 

A) viscosity B) surface tension
C) friction D) elasticity
 
Answer & Explanation Answer: B) surface tension

Explanation:

The Surface tension pulls the surface of the drop equally at all points thus produces the spherical shape having the minimum surface area. This surface tension is the "skin" of a body of water that makes the molecules stick together.

                                 Rain_drops_acquire_spherical_shape_due_to1558074071.png image 

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Filed Under: Physics
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123 21918
Q:

A polygon has 44 diagonals, then the number of its sides are ?

A) 13 B) 9
C) 11 D) 7
 
Answer & Explanation Answer: C) 11

Explanation:

Let the number of sides be n. 

The number of diagonals is given by nC2 - n  

Therefore, nC2 - n = 44, n>0 

nC2 - n = 44

n- 3n - 88 = 0 

n2 -11n + 8n - 88 = 0  

n(n - 11) + 8(n - 11) = 0 

n = -8 or n = 11.

 

As n>0, n will not be -8. Therefore, n=11.

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Filed Under: Permutations and Combinations
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25 21816
Q:

If the selling price of a mat is five times the discount offered and if the percentage of discount is equal to the percentage profit, find the ratio of the discount offered to the cost price.

A) 6:31 B) 11:30
C) 7:30 D) 31:6
 
Answer & Explanation Answer: C) 7:30

Explanation:

Since S.P. = 5 (M.P. - S.P.) => 5 M.P. = 6 S.P.
M.P. = (6/5) S.P.
Since the percentage discount = Percentage profit,
65S.P - S.P65S.P×100 = S.P -C.PC.P×100
Therefore, 1/6 = (S.P/C.P) – 1 => S.P = (7/6) C.P
M.P = 6/5 S.P = 6/5 x 7/6 C.P = 7/5 C.P
Therefore, Ratio of discount to C.P
= (M.P – S.P)/C.P = [{(7/5)C.P - (7/6)C.P} / C.P.]
= 7/30

 

Therefore, the ratio is 7 : 30

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Filed Under: Profit and Loss
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32 21767
Q:

What has a spine but no bones?

A) Mirror B) Book
C) Table D) None of the above
 
Answer & Explanation Answer: B) Book

Explanation:

A book has a spine to hold all the pages, but it has no bones.

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42 21766
Q:

Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions  ?

A) 27 sec B) 31 sec
C) 23 sec D) 29 sec
 
Answer & Explanation Answer: A) 27 sec

Explanation:

Time taken to meet for the first time anywhere on the track

= length of the track / relative speed

= 300 / (15 + 25)5/18 = 300x 18 / 40 x 5 = 27 seconds.

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Filed Under: Time and Distance
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24 21761
Q:

A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast ?

A) 7500 B) 6200
C) 5600 D) 4700
 
Answer & Explanation Answer: A) 7500

Explanation:

Let the candidates be A & B
35%-----------A
65%-----------B

Difference of votes (65-35)% = 30%

=>          30% ------- 2250
Then for 100% -------- ?     => 7500

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Filed Under: Percentage
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26 21753
Q:

How many degrees will the minute hand move, in the same time in which the second hand move 4800 ?

A) 80 deg B) 160 deg
C) 140 deg D) 135 deg
 
Answer & Explanation Answer: A) 80 deg

Explanation:

As minute hand covers, 60 degrees

Minute hand covers 4800/60 = 80°

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Filed Under: Clocks
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34 21649