GATE Questions

Q:

Kilohertz is a unit which measures

A) Electromagnetic radio wave frequencies B) Electric resistance
C) Power used by a current of one ampere D) Voltage
 
Answer & Explanation Answer: A) Electromagnetic radio wave frequencies

Explanation:

The hertz (Hz) is defined as one cycle per second and is a SI unit of frequency. Here kilohertz is also a unit of frequency of waves and is defined as 1000 cycles per second. Radio waves are measured in kilohertz (KHz).

 

Kilohertz_is_a_unit_which_measures1561453991.jpg image

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Q:

Only genius can solve this puzzle?

genius_maths_puzzle1564054544.jpg image

A) 36 B) 40
C) 48 D) 60
 
Answer & Explanation Answer: C) 48

Explanation:

In the given puzzle the logic is

2 x 1 + 1 = 2 + 1 = 3

3 x 2 + 2 = 6 + 2 = 8

4 x 3 + 3 = 12 + 3 = 15

5 x 4 + 4 = 20 + 4 = 24

6 x 5 + 5 = 30 + 5 = 35

Similarly,

7 x 6 + 6 = 42 + 6 = 48

7 = 48.

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Q:

An object at rest may have

A) Momentum B) Potential energy
C) Velocity D) Kinetic energy
 
Answer & Explanation Answer: B) Potential energy

Explanation:

An object at rest may have Potential energy.

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14 7898
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 7889
Q:

A Tank is normally filled in 9 hours but takes four hours longer to fill because of a leak in its bottom. If the tank is full, the leak will empty it in ?

A) 32.5 hrs B) 29.25 hrs
C) 30.30 hrs D) 31 hrs
 
Answer & Explanation Answer: B) 29.25 hrs

Explanation:

Let the leak will empty the tank in x hrs 

Then, 1/9 - 1/x = 1/13

x = 29.25 hrs

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10 7888
Q:

On a ruler's tombstone, it is said that one sixth of his life was spent in childhood and one twelfth as a teenager. One seventh of his life passed between the time he became an adult and the time he married; five years later, his son was born. Alas, the son died four years before he did. He lived to be twice as old as his son did. How old did the ruler live to be ?

A) 84 years B) 72 years
C) 82 years D) 64 years
 
Answer & Explanation Answer: A) 84 years

Explanation:

Let the age of ruler is x so that of son = x/2 (given)
Now according to the given condition
(x/6) + (x/12) + (x/7) + 5 + (x/2) + 4 = x
=> x = 84

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Filed Under: Problems on Ages
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6 7888
Q:

A company requires 12,100 strength. Present employees are 400 ladies and 6400 gents. To reach the target how many ladies required to maintain the same ratio ?

A) 400 B) 600
C) 900 D) 700
 
Answer & Explanation Answer: C) 900

Explanation:

6,400 gents, 2400 ladies in that company.
So total 8,800employees.
for 8,800 employees, we want 2400 ladies.
for 12,100employees we want how many ladies ?
=> (12,100/8,800) x 2400 = 3300.
So we want 3300 - 2400 = 900 more ladies.

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Filed Under: Ratios and Proportions
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11 7865
Q:

Two letters are randomly chosen from the word TIME. Find the probability that the letters are T and M?

A) 1/4 B) 1/6
C) 1/8 D) 4
 
Answer & Explanation Answer: B) 1/6

Explanation:

Required probability is given by P(E) = n(E)n(S) = 14C2 = 16

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