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GATE Questions

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Q:

Which of the following has the highest frequency?

A) Cosmic rays B) X-rays
C) Radio waves D) Microwaves
 
Answer & Explanation Answer: A) Cosmic rays

Explanation:
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30 10080
Q:

Find the wrong number in the given series :

26, 20, 16, 11, 8, 6, 5

A) 5 B) 26
C) 11 D) 16
 
Answer & Explanation Answer: D) 16

Explanation:

26 - 6 = 20

20 - 5 = 15

15 - 4 = 11

11 - 3 = 8

8 - 2 = 6

6 - 1 = 5

Therefore, 16 is wrong number.

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Filed Under: Number Series
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23 10064
Q:

The area of a square is 1024 sq.cm. What is the ratio of the length to the breadth of a rectangle whose length is twice the side of the square and breadth is 12 cm less than the side of this square ?

A) 14:9 B) 13:12
C) 16:5 D) 17:13
 
Answer & Explanation Answer: C) 16:5

Explanation:

Area of a square SxS = 1024 => S = 32 cm
Length of the rectangle = 32x2 cm = 64 cm
Breadth of the rectangle = 32 - 12 = 20 cm
Required ratio = 64 : 20 = 16 : 5

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Filed Under: Area
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5 10042
Q:

Divide Rs.118000 among three persons A, B and C such that the ratio of the shares of A and B is 3:4 and that of B:C is 5:6 ?

A) A = 48000 B = 40000 C = 30000 B) A = 30000 B = 40000 C = 48000
C) A = 30000 B = 48000 C = 40000 D) A = 40000 B = 48000 C = 30000
 
Answer & Explanation Answer: B) A = 30000 B = 40000 C = 48000

Explanation:

Compound ratio of A:B:C
A:B = 3:4
B:C = 5:6
----------
A:B:C = 15:20:24

We can divide Rs.118000 in this ratio.

Share of A = 15/59 x 118000 = 30000

Share of B = 20/59 x 118000 = 40000

Share of C = 24/59 x 118000 = 48000

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Filed Under: Partnership
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4 9982
Q:

A train for Fathehpur leaves for every 2 hrs 30 min from Agra station. An announcement was made that train left 37 mins ago and next train comes at 17:00hrs. At what time was the announcement made ? 

A) 15:07 hrs B) 15:20 hrs
C) 15:05 hrs D) 15:00 hrs
 
Answer & Explanation Answer: A) 15:07 hrs

Explanation:

Next train comes at 17:00 hrs.
So, last train will be = 17:00hrs - 2:30hrs
= 14:30hrs
Announcement made after 37 min of the last train.
S0, 14:30hrs + 00:37 min
= 15:07 hrs.

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10 9957
Q:

The cost price of an article is 54% of the marked price. Calculate the gain percent after allowing a discount of 15%  ?

A) 51.32 % B) 49.23 %
C) 48.4 % D) 46.8 %
 
Answer & Explanation Answer: C) 48.4 %

Explanation:

Let marked price = Rs. 100.
Then, C.P. = RS. 54,
S.P. = Rs. 85
Gain % = 31/64 x 100 = 48.4%.

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Filed Under: Profit and Loss
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17 9952
Q:

The age of Sohail, Afzal and Bilal are 17,16 and 12 respectively. If the age of Aslam also included the average of the ages is increased by 5. What is the age of Aslam?

A) 32 B) 33
C) 34 D) 35
 
Answer & Explanation Answer: D) 35

Explanation:

Given S = 17 yrs

A = 16 yrs

B = 12 yrs

Average = 17 + 16 + 12/3 = 15 yrs

Given if Aslam added to them, their average increases by 5

=> Average of 4 members = 20

Let the age of Aslam be 'x'

Then, 

17 + 16 + 12 + x /4 = 20

=> x = 80 - 45

=> x = 35. 

 

Hence, the age of Aslam is 35 yrs.

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15 9933
Q:

The absorption of ink by blotting paper involves

A) viscosity of ink B) diffusion of ink through the blotting
C) capillary action phenomenon D) siphon action
 
Answer & Explanation Answer: C) capillary action phenomenon

Explanation:

The absorption of ink by blotting paper involves capillary action phenomenon because the blotting paper is a thin and a smooth paper which allows a little thicker liquids like ink to absorb.

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Filed Under: Physics
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11 9911