GATE Questions

Q:

Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?

A) 1 : 2 : 3 B) 2 : 3 : 4
C) 3: 4 : 5 D) 4 : 5 : 6
 
Answer & Explanation Answer: B) 2 : 3 : 4

Explanation:

Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8.

Seats for Mathematics, Physics and Biology in a school are 5x, 7x and 8x.

There is a proposal to increase these seats by 40%, 50% and 75% respectively.

Then Seats for Mathematics, Physics and Biology in a school will be

1.4 X 5x, 1.5 X 7x and 1.75 X 8x and

ratio will be 7 : 10.5 : 14  => 2:3:4.

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Filed Under: Ratios and Proportions
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21 11370
Q:

Ashwin fires two bullets from the same place at an interval of 15 minutes but Rahul sitting in a bus approaching the place hears the second sound 14 minutes 30 seconds after the first. If sound travels at the speed of 330 meter per second, what is the approximate speed of bus?

A) 330/29 m/s B) 330 x 30 m/s
C) 330/14 m/s D) 330/900 m/s
 
Answer & Explanation Answer: A) 330/29 m/s

Explanation:

Second gun shot take 30 sec to reach rahul imples distance between two.

given speed of sound = 330 m/s

Now, distance = 330 m/s x 30 sec 

 

Hence, speed of the bus = d/t = 330x30/(14x60 + 30) = 330/29 m/s.

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24 11334
Q:

If the given two numbers are respectively 7% and 28% of a third number, then what percentage is the first of the second ?

A) 24% B) 29%
C) 34% D) 25%
 
Answer & Explanation Answer: D) 25%

Explanation:

Here, k = 7 and l = 28
Therefore, first number = klx100 % of second number = 7/28 x 100% of second number = 25% of second number.

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Filed Under: Percentage
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12 11331
Q:

Try the logical puzzle?

logical_puzzle1538026382.jpg image

A) 24 B) 25
C) 13 D) 12
 
Answer & Explanation Answer: C) 13

Explanation:

The man has 12 sons and the 12 sons has each one sister.

=> 12 sons + 1 sister = 13 children.

 

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Filed Under: Logic Puzzles
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49 11320
Q:

A, B and C started a business where their initial capital was in the ratio of 2:3:4. At the end of 6 months, A invested an amount such that his total capital became equal to C's initial capital investment. If the annual profit of B is Rs. 3000 then what is the total profit  ? 

A) Rs. 8,640 B) Rs. 9,850
C) Rs. 10,000 D) Rs. 11,220
 
Answer & Explanation Answer: C) Rs. 10,000

Explanation:

Ratio of investments of A, B & C = 2×6+4×6 : 3×12 : 4×12

= 36 : 36 : 48

= 6 : 6 : 8

But given that the annual profit of B is Rs. 3000

=> 6 ratio = 3000

Then for the total annual profit of partners is

20 ratio = 3000 x 20/6 = 10,000.

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Filed Under: Partnership
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18 11295
Q:

Which river is also known as dakshin ganga?

A) Cauvery B) Godavari
C) Krishna D) Brahmaputra
 
Answer & Explanation Answer: B) Godavari

Explanation:

River Godavari is known as Dakshin Ganga as it is one of the largest peninsular river as Himalayan and is same as Ganga river in the south.

which_river_is_also_known_as_dakshin_ganga1542952894.jpg image

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Filed Under: Indian Geography
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12 11286
Q:

Pride is to lion as shoal is to

A) Fish B) School
C) Deer D) Plants
 
Answer & Explanation Answer: A) Fish

Explanation:

Given Pride is to lion as shoal is to ?.

Pride means a group of lions. Similarly, Shoal means a group of fish swimming. Here the other options have no relation with the given word in that manner.

 

Hence, Pride is to Lion as Shoal is to Fish.

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Filed Under: Analogy
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9 11275
Q:

If a carrier wave of 1000 kHz is used to carry the signal, the length of transmitting antenna will be equal to _____ ?

A) 300 m B) 30 m
C) 3 m D) 0.3 m
 
Answer & Explanation Answer: A) 300 m

Explanation:

h =  straight c over straight v = 3 × 108/106 = 300 m

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Filed Under: Physics
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39 11262