GATE Questions

Q:

A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is ?

A) 45 kmph B) 25 kmph
C) 30 kmph D) 50 kmph
 
Answer & Explanation Answer: D) 50 kmph

Explanation:

Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec.
[(25/2) x (18/5)] km/hr = 45 km/hr.
Let the speed of the train be 'S' km/hr.
Then, relative speed = (S - 5) km/hr.
S - 5 = 45 => S = 50 km/hr.

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49 43602
Q:

What is black when you buy it, red when you use it, and gray when you throw it away?

A) Shoe B) Charcoal
C) Belt D) All the above
 
Answer & Explanation Answer: B) Charcoal

Explanation:

What_is_black_when_you_buy_it,_red_when_you_use_it,_and_gray_when_you_throw_it_away1557491056.jpg image

It is Charcoal which is black when we buy it or when not being used. It gets red in appearance when put in use means to say when burning. And eventually when it's been consumed by fire or after getting burned out or used up, changes into ashes which look grey in color.

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Filed Under: Logic Puzzles
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145 43068
Q:

Statement :

The byproducts obtained from animals such as hairs, skins, horns, etc. contain at least 45 per cent food protein. Indian scientists have developed methods to segregate 50 per cent of this protein. They have used an enzyme developed in Russia for destruction of soya-proteins.

Conclusions:

A. Indian scientists cannot develop enzymes.

B. If a suitable method involving less cost is developed then many more food protein would be obtained.

A) Only A follows B) Only B follows
C) Neither A nor B follows D) Both A & B follows
 
Answer & Explanation Answer: C) Neither A nor B follows

Explanation:

There is no indication that Indian scientists are incapable of developing enzymes. There could be any number of reasons why Indian scientists used Russian enzymes.

So conclusion A does not follow.

In addition, cost is not discussed in the passage at all. There is no mention of a correlation between cost and extraction of proteins.

Thus, conclusion B does not follow either.

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Filed Under: Statement and Conclusions
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4 43057
Q:

What is the number that should come in the place of question mark ?

1050    420    168     67.2     ?

A) 19.11 B) 14.25
C) 10.752 D) 26.88
 
Answer & Explanation Answer: D) 26.88

Explanation:

Given series follows the rule of

1050/2.5 = 420
420/2.5 = 168
168/2.5 = 67.2
so 67.2/2.5 = 26.88

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Filed Under: Number Series
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17 43010
Q:

Statements :
All keys are locks.
All locks are bangles.
All bangles are cars.


Conclusion :
a. Some cars are locks.
b. Some bangles are keys.
c. Some cars are keys.

A) Only a follows B) Only c follows
C) Only a & b follows D) a, b & c follows
 
Answer & Explanation Answer: D) a, b & c follows

Explanation:

All locks are bangles + All bangles are cars = A + A = A
= All locks are cars => Some cars are locks.
Hence conclusion (a) follows.
All keys are locks + All locks are bangles = A + A = A
= All keys are bangles => some bangles are keys.
Hence conclusion (b) follows.
All keys are bangles + All bangles are cars = A + A = A
= All keys are cars => Some cars are keys.
Hence conclusion (C) follows.

 

 

 

Thus all a, b and c follows.

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Filed Under: Statement and Conclusions
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4 42743
Q:

Find the next number in the given number series?

96, 95, 87, 78, ?

A) 64 B) 57
C) 29 D) 14
 
Answer & Explanation Answer: D) 14

Explanation:

The given number series is 96, 95, 87, 78, ? 

It follows a pattern that,

9696 - 12 = 9595 - 23 = 95 - 8 = 8787 - 32 = 87 - 9 = 7878 - 43 = 78 - 64 = 14

 

Hence, the next number in the given number series is 14.

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Filed Under: Odd Man Out
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3 42665
Q:

A man reaches his office 20 min late, if he walks from his home at 3 km per hour and reaches 30 min early if he walks 4 km per hour. How far is his office from his house ?

A) 20 km B) 16 km
C) 14 km D) 10 km
 
Answer & Explanation Answer: D) 10 km

Explanation:

Let distance = x km.
Time taken at 3 kmph : dist/speed = x/3 = 20 min late.
time taken at 4 kmph : x/4 = 30 min earlier
difference between time taken : 30-(-20) = 50 mins = 50/60 hours.
x/3- x/4 = 50/60
x/12 = 5/6
x = 10 km.

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Filed Under: Time and Distance
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56 42563
Q:

What will come in the place of the (?) in the following number series ?

5 14 45 130 (?) 1182

A) 222 B) 397
C) 404 D) 415
 
Answer & Explanation Answer: B) 397

Explanation:

The pattern of given series is :

5

14 = (5x3) - 1

45 = (14x3) + 3

130 = (45x3) - 5

(?) = (130x3) + 7

=> (?) = 397

1182 = (397x3) - 9

Thus, the missing number is 397.

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Filed Under: Number Series
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41 42130