GATE Questions

Q:

The wages of labourers in a factory increases in the ratio 22:25 and there was a reduction in the number of labourers in the ratio 15:11. Find the original wage bill if the present bill is Rs. 5000 ?

A) Rs. 5500 B) Rs. 6000
C) Rs. 6200 D) Rs. 6350
 
Answer & Explanation Answer: B) Rs. 6000

Explanation:

The wages of labourers in a factory increases in the ratio 22:25 and there was a reduction in the number of labourers in the ratio 15:11. Find the original wage bill if the present bill is Rs 5000 ?
Ratio of increase of wages = 22:25
Ratio of decrease of labourers = 15:11
Compound ratio of wages of labourers = 22 x 15 : 25 x 11 = 330:275
Final bill = Rs. 5000
For 275 ratio wages = Rs. 5000
For 1 ratio wages = 5000/275
For 330 ratio wages = 5000/275 x 330 = Rs. 6000

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Filed Under: Ratios and Proportions
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69 26580
Q:

A boy can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is ?

A) 1.8 kmph B) 2 kmph
C) 2.2 kmph D) 1.5 kmph
 
Answer & Explanation Answer: D) 1.5 kmph

Explanation:

Speed of Boy is B = 4.5 kmph

Let the speed of the stream is S = x kmph

Then speed in Down Stream = 4.5 + x

speed in Up Stream = 4.5 - x

As the distance is same,

=> 4.5 + x = (4.5 - x)2

=> 4.5 + x = 9 -2x

3x = 4.5

x = 1.5 kmph

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Filed Under: Boats and Streams
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47 26404
Q:

What should come next in the following number series?

9 8 7 6 5 4 3 2 1 8 7 6 5 4 3 2 1 7 6 5 4 3 2 1

A) 9 B) 8
C) 7 D) 6
 
Answer & Explanation Answer: D) 6

Explanation:

Here the series is:

 

987654321, 87654321, 7654321, 65...

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28 26347
Q:

Tract of land used for raising crops or livestock.

A) A field B) A farm
C) Both A & B D) None of the above
 
Answer & Explanation Answer: C) Both A & B

Explanation:

A tract of land used for raising crops or livestockcan be called a field or a farm.

 

a_tract_of_land_used_for_raising_crops_or_livestock1559215948.jpg image

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49 26122
Q:

An air bubble in water will act like a

A) convex lens B) convex mirror
C) concave lens D) concave mirror
 
Answer & Explanation Answer: C) concave lens

Explanation:

An_air_bubble_in_water_will_act_like_a1557488532.jpg image

The lens which have atleast one inward curved surface is a concave lens. Concave ens is a diverging lens as it spreads out light rays that have been refracted through it.

A concave lens is thinner at its centre than at its edges.

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Filed Under: Physics
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181 26031
Q:

The basic operations performed by a computer are

A) Logical operation B) Storage and relative
C) Arithmetic operation D) All the above
 
Answer & Explanation Answer: D) All the above

Explanation:

The_basic_operations_performed_by_a_computer1537941097.png image

The basic operations performed by a computer are Arithmetic operation, Logical operation and Storage and relative.

 

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Filed Under: Computer
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67 26006
Q:

Complete the number series?

11, 12.2, 14.6, 18.2, ?

A) 21.8 B) 23
C) 24.6 D) 25
 
Answer & Explanation Answer: B) 23

Explanation:

The given number series 11, 12.2, 14.6, 18.2, ?

11

11 + 1.2 = 12.2

12.2 + 2.4 = 14.6

14.6 + 3.6 = 18.2

18.2 + 4.8 = 23

 

Hence, the next number in the given number series is 23.

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Filed Under: Number Series
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8 25995
Q:

A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year  ?

A) 21:29 B) 41:54
C) 32:45 D) 37:51
 
Answer & Explanation Answer: C) 32:45

Explanation:

             A              :               B
(8000x4)+(4000x8) : (9000x6)+(6000x6)
         64000           :      90000
=>        32 : 45

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Filed Under: Ratios and Proportions
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28 25948