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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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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17 7953

Q:

A, B and C can do a piece of work in 72, 48 and 36 days respectively. For first p/2 days, A & B work together and for next ((p+6))/3days all three worked together. Remaining 125/3% of work is completed by D in 10 days. If C & D worked together for p day then, what portion of work will be remained?

A) 1/5	B) 1/6
C) 1/7	D) 1/8

Answer & Explanation Answer: B) 1/6

Explanation:

Total work is given by L.C.M of 72, 48, 36

Total work = 144 units

Efficieny of A = 144/72 = 2 units/day

Efficieny of B = 144/48 = 3 units/day

Efficieny of C = 144/36 = 4 units/day

According to the given data,

2 x p/2 + 3 x p/2 + 2 x (p+6)/3 + 3 x (p+6)/3 + 4 x (p+6)/3 = 144 x (100 - 125/3) x 1/100

3p + 4.5p + 2p + 3p + 4p = 84 x 3 - 54

p = 198/16.5

p = 12 days.

Now, efficency of D = (144 x 125/3 x 1/100)/10 = 6 unit/day

(C+D) in p days = (4 + 6) x 12 = 120 unit

Remained part of work = (144-120)/144 = 1/6.

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7 7949

Q:

7 C in the R?

Answer

The given letter equation implies that,

7 C in the R = 7 Colours in a Rainbow.

Workspace

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6 7948

Q:

The average monthly salary of 24 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 400. What is the manager's monthly salary ?

A) Rs. 8840	B) Rs. 11,500
C) Rs. 12,800	D) Rs. 9450

Answer & Explanation Answer: B) Rs. 11,500

Explanation:

Manager's monthly salary

= Rs. (1900 x 25 - 1500 x 24) = Rs. 11,500

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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 7946

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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Q:

Two metallic plate of equal thickness and coefficient thermal conductivity K1 and K2 put together face to face. A common plate is constructed. What is equivalent K?

A) K1k2/k1+k2	B) 2k1k2/k1+k2
C) K1+k2/k1k2	D) None

Answer & Explanation Answer: B) 2k1k2/k1+k2

Explanation:

We know that,

The equivalent K = $\frac{L 1 + L 2}{\frac{L 1}{K 1} + \frac{L 2}{K 2}}$

where L1 & L2 are plate1 & Plate2 thicknesses, K1 & K2 are coefficient thermal conductivity of plate1 & Plate2 respectively.

But here L1 = L2 = L (say)

Then K = L+L/(L/K1 + L/K2) = $\frac{2 K 1 K 2}{K 1 + K 2}$

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