GATE Questions and Answers with Explanation

Q:

The monomer of polythene is

A) ethylene	B) ethyl alcohol
C) vinyl chloride	D) ethanol

Answer & Explanation Answer: A) ethylene

Explanation:

The monomer of polythene is ethylene.

the_monomer_of_polythene_is1546857163.png image

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17 7933

Q:

Select a figure from the four alternatives that would complete the Figure Matrix.

1366338089-121484716755.jpg image

1366338089-131484716775.jpg image

(1) (2) (3) (4)

A) 4	B) 3
C) 2	D) 1

Answer & Explanation Answer: A) 4

Explanation:

Similar small figures are increasing by one in each of the bigger figure.

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16 7929

Q:

K and L starts walking towards each other at 4 pm at speed of 3 km/hr and 4 km/hr respectively. They were initially 17.5 km apart. At what time do they meet ?

A) 6:00 am	B) 6:30 pm
C) 5:45 am	D) 5:52 pm

Answer & Explanation Answer: B) 6:30 pm

Explanation:

Suppose they meet after 'h' hours

Then

3h + 4h = 17.5

7h = 17.5

h = 2.5 hours

So they meet at => 4 + 2.5 = 6:30 pm

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12 7921

Q:

How many rectangles can be drawn with 36 cm as the perimeter, given that the sides are positive integers in cm?

A) 8	B) 9
C) 10	D) 11

Answer & Explanation Answer: B) 9

Explanation:

Perimeter = 36

⇒ 2 ( l + w ) = 36

⇒ l + w = 18

Since length and width are positive integers in centimeters.

Therefore, possible dimensions are :

( 1, 17 )cm , ( 2, 16 ) cm , ( 3, 15 ) cm, (4 , 14) cm, ( 5,13) cm, ( 6, 12) cm , ( 7, 11) cm, ( 8, 10 ) cm, ( 9, 9) cm.

Hence, there are 9 rectangles.

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12 7917

Q:

Who wrote the social contract?

A) Jean-Jacques Rousseau	B) Immanuel Kant
C) John Locke	D) Voltaire

Answer & Explanation Answer: A) Jean-Jacques Rousseau

Explanation:

Jean-Jacques Rousseau (1712–1778), in his influential 1762 treatise The Social Contract, outlined a different version of social contract theory, as the foundations of political rights based on unlimited popular sovereignty.

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5 7916

Q:

Find the errors in the below given A, B, C & D sentences.

$\frac{F o r m e r p r i m e m i n i s t e r r u l e d h i m s e l f o u t}{(A)} / \frac{a s a n a l t e r n a t i v e r i g h t w i n g c a n d i d a t e f o r h i s p a r t y c o l l e a g u e}{(B)} /$

$\frac{w h o s e c a m p a i g n h a s b e e n t h r o w n i n t o c h a o s}{(C)} / \frac{b y a f a k e j o b s s c a n d a l}{(D)}$

A) A & C	B) B & D
C) A & D	D) C & B

Answer & Explanation Answer: C) A & D

Explanation:

A) As prime minister is an honorable person it must start with an Article 'The'.

D) a fake jobs => a indicates it is singular, so job will come.

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13 7912

Q:

If Hema walks at 12 km/hr instead of 8 km/hr, she would have walked 20 km more. The actual distance travelled by Hema is ?

A) 40 kms	B) 30 kms
C) 46 kms	D) 32 kms

Answer & Explanation Answer: A) 40 kms

Explanation:

Let the actual distance travelled be x km.
Then x/8=(x+20)/12
=> 12x = 8x + 160
=> 4x = 160
=> x = 40 km.

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5 7909

Q:

Compound interest on a certain sum of money at 20% per annum for 2 years is Rs.5995. What is the SI on the same money at 8% per annum for 6 years ?

A) Rs. 5989	B) Rs. 6540
C) Rs. 7844	D) Rs. 6789

Answer & Explanation Answer: B) Rs. 6540

Explanation:

Given C.I = 5984, R = 20% , T = 2yrs

$C . I = P [(1 + {(\frac{20}{100})}^{2}) - 1]$

5984 = $C.I=P\left [ \left ( 1&amp;plus;\left ( \frac{20}{100}\right )^{2} \right )-1 \right ]$

=> P = (5995x25)/11

P = Rs. 13625

Now S.I = PTR/100

SI = (13625 x 8 x 6)/100 = Rs. 6540

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22 7908

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