GATE Questions

Q:

A 150 m long train crosses another 210 m long train running in the opposite direction in 10.8 seconds. If the shorter train crosses a pole in 12 seconds, what is the speed of longer train ?

A) 75 kmph B) 80 kmph
C) 54 kmph D) 45 kmph
 
Answer & Explanation Answer: A) 75 kmph

Explanation:

Total distance = 150 + 210 = 360 mts

Time taken to cross each other when moving in opposite direction = 10.8 sec

Relative speed of trains = (350/10.8) x 18/5 = 3600/30 = 120 kmph

Speed of shorter train = (150/12) x 18/5 = 45 kmph

 

Hence, speed of longer train = 120 - 45 = 75 kmph.

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Q:

If 78K928L is divisible by 6, then which of the following can Q and R take ?

A) K=2 & L=3 B) K=1 & L=4
C) K=1 & L=2 D) K=3 & L=3
 
Answer & Explanation Answer: B) K=1 & L=4

Explanation:

As per divisibility rule a number is divisible by 6 means it should be divisible by 2 and 3

case 1 : the divisibility rule for 2 is the number should be end with even number
in this case R =2 & R=4


case 2 : The divisibility rule for 3 is the sum of numbers should be divisible by 3
so if we take option (2) Q=1 & R=4 the sum is 39
if we take option (3) Q=1 & R=2 the sum is 37

So Option (2) is correct 39 is divided by 3

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Filed Under: Problems on Numbers
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4 3308
Q:

Highest Bridge in the world

A) Millau Viaduct B) Sidu River Bridge
C) Bailey Bridge D) None
 
Answer & Explanation Answer: C) Bailey Bridge

Explanation:

The Highest bridge in the world is Bailey bridge. It is located in the Ladakh valley between Dras and Suru rivers in the Himalayan mountains. It was built by the Indian Army in August 1982.

It is 30 meters (98 ft) long and is at an altitude of 5,602 meters (18,379 ft) above sea level.

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Filed Under: Longest, Shortest, Deepest
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16 3307
Q:

Which vehicle is spelled the same forwards and backwards?

Answer

Racecar and Civic are the two vehicles which spelled the same forwards an backwards.

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5 3307
Q:

Solve the given math puzzle?

math_puzzle21543466621.jpg image

A) 11 B) 3
C) 10 D) 1
 
Answer & Explanation Answer: C) 10

Explanation:

From the given data,

1 + 9 + 8 = 1

ONE + NINE + EIGHT

Consider the first letters and join them viz O N E = 1

So, now consider 2 + 8 + 9 in similar way

TWO+EIGHT+NINE

First letters are T E N = 10

2 + 8 + 9 = 1⃣0⃣ 

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Q:

36 of what number is 18?

A) 38 B) 42
C) 50 D) 62
 
Answer & Explanation Answer: C) 50

Explanation:

Let the required number be 'p'

36 of what number is 18 implies 36% of p = 18

=> 36 x p/100 = 18

=> p = 1800/36

=> p = 50.

 

Hence, 36% of 50 is 18.

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Filed Under: Percentage
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9 3301
Q:

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there ?

A) 205 B) 194
C) 209 D) 159
 
Answer & Explanation Answer: C) 209

Explanation:

We may have (1 boy and 3 girls)or(2boys and 2 girls)or(3 boys and 1 girl)or(4 boys).


Required number of ways = (C16× C34) + C26×C24  + (C36× C14) + (C46)  

= (24+90+80+15) 

= 209.

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Filed Under: Permutations and Combinations
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7 3301
Q:

Which team became the first team in history to win 100 T20 matches  ?

A) Sunrisers Hyderabad B) Bangalore Royal Challengers
C) Kolkata Knight Riders D) Mumbai Indians
 
Answer & Explanation Answer: D) Mumbai Indians

Explanation:

Two times IPL champions Mumbai Indians (MI) reached a new milestone as they became the first team in history to win 100 T20 matches. The Mumbai outfit defeated Kolkata Knight Riders (KKR) at the Eden Gardens by 9 runs in their final match of the league stage of IPL 2017.

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Filed Under: Sports
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12 3295