GATE Questions

Q:

A decision committee of 5 members is to be formed out of 4 Actors, 3 Directors and 2 Producers. In how many ways a committee of 2 Actors, 2 Directors and 1 Producer can be formed ?

A) 18 B) 24
C) 36 D) 32
 
Answer & Explanation Answer: C) 36

Explanation:

Required Number of ways = 4C2 × 3C2 × 2C1 = 36 = 36

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Filed Under: Permutations and Combinations
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17 4072
Q:

Which law relates to the ideal gas law?

A) P1T1 = P2T2 B) P1/V1 = P2/V2
C) P1V1 = P2V2 D) T1/V1 = T2/V2
 
Answer & Explanation Answer: C) P1V1 = P2V2

Explanation:

Ideal Gas Law ::

The Combined gas law or General Gas Equation is obtained by combining Boyle's Law, Charles' Law, and Gay-Lussac's Law. It shows the relationship between the pressure, volume, and temperature for a fixed mass (quantity) of gas:

P1V1T1 = P2V2T2

 

Hence, the Boyle's law P1V1 = P2T2, relates to ideal gas equation.

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Filed Under: Physics
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5 4070
Q:

The difference between simple interest and compound interest of a certain sum of money at 20% per annum for 2 years is Rs. 56. Then the sum is :

A) Rs. 3680 B) Rs. 2650
C) Rs. 1400 D) Rs. 1170
 
Answer & Explanation Answer: C) Rs. 1400

Explanation:

We know thatThe Difference between Compound Interest and Simple Interest for n years at R rate of interest is given by C.In - S.In = PR100n

Here n = 2 years, R = 20%, C.I - S.I = 56

56 = P201002=> P = 56 x 52=> P = 56 x 25=> P = Rs. 1400

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Filed Under: Compound Interest
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28 4069
Q:

Where are Maglev trains used?

A) London B) Russia
C) Germany D) Japan
 
Answer & Explanation Answer: D) Japan

Explanation:

Maglev trains are used in Japan, South Korea and China only.

Maglev derived from magnetic levitation using the principle of magnetic repulsion is a system of train transportation that uses two sets of magnets, one set to repel and push the train up off the track as in levitation then another set to move the 'floating train' ahead at great speed taking advantage of no friction. Maglev trains are therefore quieter and smoother than conventional trains, and have the potential for much higher speeds

Despite over a century of research and development, maglev transport systems are in operation in just three countries Japan, South Korea and China.

 

Hence Maglev -- Magnetic-levitation.

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Filed Under: General Awareness
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3 4066
Q:

On sport’s day, if 12 children were made to stand in each column, 98 columns could be formed. After a certain music being played the plan was that the children have to stand in concentric circles such that the innermost circle will have one student, the next circle will have two students, the third circle will have 3 students and so on. How many circles will be formed in this manner ?

A) 44 B) 46
C) 48 D) 49
 
Answer & Explanation Answer: C) 48

Explanation:

No. of students will be 98 x 12 = 1176
let us consider n circles then 1 + 2 + 3 + ....+ n = 1176
n(n+1)/2 = 1176
n = 48 circles.

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Filed Under: Arithmetical Reasoning
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3 4065
Q:

Find the correct sentence from the following options ?

A) The dacoits having stopped to divide the booty, the police had overtaken them B) The dacoits being stopped to divide the booty, the police overtook them.
C) The dacoits having been stopped for dividing the booty, the police overtook them D) The dacoits having stopped for dividing the booty, the police overtook them
 
Answer & Explanation Answer: D) The dacoits having stopped for dividing the booty, the police overtook them

Explanation:

As it is the past continuous sentence.

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Filed Under: Analogy
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3 4064
Q:

I am a Fruit. I am Tasty and provides lots of energy. You can also find me in a calendar.

Answer

Dates.


 


dates1586765406.jpg image


 


These are found in calendar as date and are tasty fruits that are full of energy.

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Subject: Logic Puzzles Exam Prep: GATE , Bank Exams

18 4064
Q:

Buoyancy depends on

A) the mass of the liquid displaced B) the mass of the body
C) the depth to which the body is immersed D) the shaped of the body
 
Answer & Explanation Answer: A) the mass of the liquid displaced

Explanation:

Buoyancy or Upthrust, is an upward force exerted by a fluid that opposes the weight of an immersed object.

In a column of fluid, pressure increases with depth as a result of the weight of the overlying fluid.

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Filed Under: Physics
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