GATE Questions

Q:

A word arrangement machine, When given an input line of words, rearranges it in every step following a certain rule. Following is an illustration of an input line of words and various steps of rearrangement.


Input: gone are take enough brought station
Step 1: take gone are enough brought station
Step 2: take are gone enough brought station
Step 3: take are station gone enough brought
Step 4: take are station brought gone enough
And Step 4 is the last step for this input. Now, find out an appropriate step in the following question following the above rule.

Question:
Input: car on star quick demand fat
What will be the third step for this input ?

A) star car demand quick on fat B) star quick car demand on fat
C) star car quick demand on fat D) none of these
 
Answer & Explanation Answer: C) star car quick demand on fat

Explanation:

Obsrving the given arrangement, we find the following pattern:
If we arrange the words in the given input in the alphabetical order and then label them as 1,2,3,4,5,6, then the last step contains the words in the order 6,1,5,2,4,3. However, the position of only one word is alteredat each step.
Input:car on star quick demand fat
Step1: star car on quick demand fat
Step2: star car quick on demand fat
Step3: star car quick demand on fat

Hence, the answer is C

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Q:

Two metallic plate of equal thickness and coefficient thermal conductivity K1 and K2 put together face to face. A common plate is constructed. What is equivalent K? 

A) K1k2/k1+k2 B) 2k1k2/k1+k2
C) K1+k2/k1k2 D) None
 
Answer & Explanation Answer: B) 2k1k2/k1+k2

Explanation:

We know that,

 

The equivalent K =  L1 + L2L1K1+L2K2

 

where L1 & L2 are plate1 & Plate2 thicknesses, K1 & K2 are coefficient thermal conductivity of plate1 & Plate2 respectively.

 

But here L1 = L2 = L (say)

 

Then K = L+L/(L/K1 + L/K2)  =  2K1K2K1+K2

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12 8445
Q:

Planet : Orbit :: Projectile : ?

A) Path B) Milky way
C) Track D) Trajectory
 
Answer & Explanation Answer: D) Trajectory

Explanation:

The path traced by planet is called Orbit. Similarly, the path traced by projectile is called Trajectory.

 

Hence, Planet : Orbit : : Projectile : Trajectory.

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Filed Under: Analogy
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8 8437
Q:

The panchatantra was written during the

A) Maurya period B) Gupta period
C) Sultanate period D) Kushana period
 
Answer & Explanation Answer: B) Gupta period

Explanation:

The panchatantra was written by Vishnu sharma, an Indian scholar during the period of Gupta rule. It is during 3rd Century BCE.

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Filed Under: Indian History
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13 8433
Q:

Who wrote the social contract?

A) Jean-Jacques Rousseau B) Immanuel Kant
C) John Locke D) Voltaire
 
Answer & Explanation Answer: A) Jean-Jacques Rousseau

Explanation:

Jean-Jacques Rousseau (1712–1778), in his influential 1762 treatise The Social Contract, outlined a different version of social contract theory, as the foundations of political rights based on unlimited popular sovereignty.

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5 8425
Q:

What causes brownian motion in colloids?

A) coagulation of particles and the dispersed phase B) erratic flashes of light
C) molecules of the dispersion medium colliding with dispersed phase particles D) All the above
 
Answer & Explanation Answer: C) molecules of the dispersion medium colliding with dispersed phase particles

Explanation:

When their is a colloid in the solution, then it will show the Brownian movement, such as dust particle in the air will show the Brownian movement.

 

Hence, Brownian movement arises due to the impact of the molecules of the dispersion medium with the colloidal particles. It has been postulated that the impact of the molecules of dispersion medium on the colloidal particles are unequal.

 

This leads to the zig-zag (random) motion of the colloidal particles.

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Filed Under: Physics
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6 8423
Q:

The average monthly salary of 24 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 400. What is the manager's monthly salary ?

A) Rs. 8840 B) Rs. 11,500
C) Rs. 12,800 D) Rs. 9450
 
Answer & Explanation Answer: B) Rs. 11,500

Explanation:

Manager's monthly salary

= Rs. (1900 x 25 - 1500 x 24) = Rs. 11,500

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11 8415
Q:

A woman says, "If you reverse my own age, the figures represent my husband's age. He is, of course, senior to me and the difference between our ages is one-eleventh of their sum." The woman's husband age is ?

A) 45 B) 24
C) 42 D) 54
 
Answer & Explanation Answer: D) 54

Explanation:

By trial and error method from the given options,

as 54 - 45 =  (1/11) x (45+54)  = 99/11  = 9

Hence this satisfies the given conditions.

Then the woman's husband age is 54.

 

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