GATE Questions

Q:

What is the maximum velocity with which a body of mass 'm' must enter a vertical loop of radius 'R'so that it can complete the loop?

A) 0  B) gR   C)  2gR  D)  5gR

A) A B) B
C) C D) D
 
Answer & Explanation Answer: D) D

Explanation:

To complete the vertical loop, the minimum speed required at the lowest point  = 5gR.

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Filed Under: Physics
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6 6334
Q:

Metals are good conductors of electricity because

A) The atoms are lightly packed B) They contain free electrons
C) They have high melting point D) All the above
 
Answer & Explanation Answer: B) They contain free electrons

Explanation:

Metal particles are held together by strong metallic bonds, which is why they have high melting and boiling points. The free electrons in metals can move through the metal, allowing metals to conduct electricity.

Because the electrons in the atom's higher energy levels can separate from the atoms easily, they can be pulled out with very little energy. Because the molecular structure of the metal is such that 'free electrons' are free to move, thus being categorized as electrically conductive.

 

For example, copper is used for electrical wiring because it is a good conductor of electricity.

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Filed Under: Physics
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4 6332
Q:

Ajay and his wife Reshmi appear in an interview for two vaccancies in the same post. The Probability of Ajay's selection is 1/7 and that of his wife Reshmi's selection is 1/5. What is the probability that only one of them will be selected?

A) 5/7 B) 1/5
C) 2/7 D) 2/35
 
Answer & Explanation Answer: C) 2/7

Explanation:

P( only one of them will be selected) = p[(E and not F) or (F and not E)] 

 = PEFFE 

 

PEPF+PFPE

 

 =17×45+15×67=27

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Filed Under: Probability
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17 6312
Q:

What has 3 feet but cannot walk?

Answer

We know that 1 yard = 3 feet. 


 


A yardstick which is used for measurement has 3 feet long but it cannot walk.


 

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Q:

Prasanna invested certain amount in three different schemes X, Y and Z with the rate of interest 10% p.a, 12% p.a and 15% p.a respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in Scheme Z was 150% of the amount invested in Scheme X and 240% of the amount invested in Scheme Y, what was the amount invested in Scheme Y by Prasanna ?

A) Rs.6000 B) Rs.4500
C) Rs.7500 D) Rs.5000
 
Answer & Explanation Answer: D) Rs.5000

Explanation:

Let a, b and c be the amounts invested in schemes X, Y and Z respectively. Then,

As we know:

Simple interest (S.I.) = PTR/100

(a × 10 × 1/100) + (b × 12 × 1/100) + (c × 15 × 1/100) = 3200

= 10a + 12b + 15c = 320000 .........(1)

Now, c = 240% of b = 12b/5 .........(2)

And, c = 150% of a = 3a/2 => a = 2/3 c = (2 × 12)b/(3 × 5) = 8b/5 .......(3)

From (1), (2) and (3), we have

16b + 12b + 36b = 320000 => 64b = 320000 => b = 5000

∴ Sum invested in Scheme Y = Rs.5000.

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Filed Under: Percentage
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9 6290
Q:

Which ionization process requires the most energy?

A) C3+ (g) → C4+ (g) + e- B) C (g) → C+ (g) + e-
C) C2+ (g) → C3+ (g) + e- D) C+ (g) → C2+ (g) + e-
 
Answer & Explanation Answer: A) C3+ (g) → C4+ (g) + e-

Explanation:

We know that each successive IE is greater than the previous one, because each ionization process removes one electron and hence increases the total attractive force on the remaining electrons from the nucleus. Hence, C3+ (g) → C4+ (g) + e- needs more energy.

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Filed Under: Chemistry
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1 6289
Q:

A jogger running at 9 kmph alongside a railway track is 240 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger  ?

A) 10 sec B) 48 sec
C) 36 sec D) 56 sec
 
Answer & Explanation Answer: C) 36 sec

Explanation:

Given speed of jogger = 9 kmph
Speed of train = 45 kmph
As they are in same direction,
Relative speed = 45 - 9 = 36 kmph = 36x5/18 = 10 m/s
Distance = 240 + 120 = 360 mts
Time = distance/speed = 360/10 = 36 sec.

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Filed Under: Problems on Trains
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2 6280
Q:

The PS command prints the process status for only some of the running processes.

A) TRUE B) FALSE
Answer & Explanation Answer: B) FALSE

Explanation:

The PS command prints the process status for some or all of the running processes

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Subject: Operating Systems
Exam Prep: GATE

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