GATE Questions

Q:

Solve the Number Puzzle ?

number_puzzle1503907077.jpg image

A) 20 B) 24
C) 26 D) 30
 
Answer & Explanation Answer: C) 26

Explanation:

Here the puzzle follows the logic that

Right side number = sum of the number on the left side and the previous number on the left side

=> 6 = 4+2

=> 10 = 6+4

=> ? = 16+10 = 26.

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23 6086
Q:

Arun’s weight is 140% of Akhil’s weight. Nani’s weight is 90% of Shreyon’s weight. Shreyon’s weight is twice as much as Akhil’s. What percentage of Arun’s weight is Nani’s weight?

A) 76% B) 77%
C) 78% D) 79%
 
Answer & Explanation Answer: C) 78%

Explanation:

Let Akhil's weight = p kg

=> Shreyon's weight = 2p kg

Nani's weight = 0.9 x 2p = 1.8p kg

=> Arun's weight = 1.4p kg

Required percentage = 1.4p1.8p x 100

= 77.8%

~= 78%

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8 6079
Q:

The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned  ?

A) Rs. 11828.80 B) Rs. 19828.80
C) Rs. 9828.80 D) Rs. 19328.80
 
Answer & Explanation Answer: B) Rs. 19828.80

Explanation:

Let the sum be Rs. P
P{ 1+81002- 1 } = 2828.80

 

It is in the form of  a2-b2 = a+ba-b

 

P(8/100)(2 + 8/100) = 2828.80

 

P = 2828.80 / (0.08)(2.08)

 

= 1360/0.08 = 17000

 

Principal + Interest = Rs. 19828.80

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Filed Under: Compound Interest
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12 6078
Q:

Which revolutionary died after a 64 days fast in jail?

A) Jatin Das B) Pulin Das
C) Subhash Chandra bose D) Both A & B
 
Answer & Explanation Answer: A) Jatin Das

Explanation:

Jatindra Nath Das, also known as Jatin Das, was a revolutionary and Independence activist. He embraced death in Lahore jail after fasting for 64 days in 1929 at the age of 24 yrs.

 

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Filed Under: Indian History
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13 6076
Q:

Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is :

A) 83 B) 89
C) 85 D) 79
 
Answer & Explanation Answer: C) 85

Explanation:

Since the numbers are co-prime, they contain only 1 as the common factor.
Also, the given two products have the middle number in common.
So, middle number = H.C.F of 551 and 1073 = 29;
First number = 551/29 = 19
Third number = 1073/29 = 37.
Required sum = 19 + 29 + 37 = 85.

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5 6074
Q:

The length of a brigade which a train 130 m long and traveling at 45kmph can cross in 30 seconds, is 

A) 196 mts B) 220 mts
C) 230 mts D) 245 mts
 
Answer & Explanation Answer: D) 245 mts

Explanation:

Let the length of the brigade is x mts
Then Distance = 130 + x mts
given speed = 45 kmph = 45 x5/18 m/s
Time = 30 sec
T = D/S
=> 30 = 130+x/(45x5/18)
=> x = 245 mts.

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Filed Under: Problems on Trains
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5 6071
Q:

Which of the following animals was not native to India?

A) Rhinoceros B) Tiger
C) Horse D) Elephant
 
Answer & Explanation Answer: C) Horse

Explanation:
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Filed Under: Indian Geography
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11 6060
Q:

Find the appropriate relation for quantity 1 and quantity 2 in the following question:

Quantity I: the unit digit in (6817)754

Quantity II: the unit digit in (365×659×771)

A) Quantity I > Quantity II B) Quantity I < Quantity II
C) Quantity I ≥ Quantity II D) Quantity I ≤ Quantity II
 
Answer & Explanation Answer: A) Quantity I > Quantity II

Explanation:
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1 6052