GATE Questions

Q:

Important Time and Distance formulas with examples.

Answer

1. How to find Speed(s) if distance(d) & time(t) is given:


 


 Speed (S) = Distance (D)Time (T)  


 


Ex: Find speed if a person travels 4 kms in 2 hrs?


Speed = D/T = 4/2 = 2 kmph.


 


2.  Similarly, we can find distance (d)  if speed (s) & time (t) is given by


 


Distance (D) = Speed (S) x Time (T)


 


Ex : Find distance if a person with a speed of 2 kmph in 2 hrs?


Distance D = S X T = 2 x 2 = 4 kms. 


 


3.  Similarly, we can find time (t) if speed (s) &  distance (d) is given by


 


Time (T) = Distance (D)Speed (S)


 


Ex : Find in what time a person travels 4 kms with a speed of 2 kmph?


Time T = D/S = 4/2 = 2 hrs.


 


4. How to convert  km/hr into m/sec :


 


P km/hr = P x 518 m/sec


 


Ex : Convert 36 kmph into m/sec?


36 kmph = 36 x 5/18 = 10 m/sec 


 


5. How to convert  m/sec into km/hr :


 


P m/sec = P x 185 kmph.


 


Ex : Convert 10 m/sec into km/hr?


10 m/sec = 10 x 18/5 = 36 kmph.


 


6.  If the ratio of the speeds of A and B is a:b, then the ratio of the times taken by them to cover the same distance is b : a.


 


7.  Suppose a man covers a certain distance at x km/ hr and an equal distance at y km/hr . Then, the average speed during the whole journey is 2xyx+y km/hr.

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6 4858
Q:

40% of 80?

A) 36 B) 32
C) 42 D) 44
 
Answer & Explanation Answer: B) 32

Explanation:

Here 40% of 80 is given as

40100 x 80 = 8 x 4 = 32

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7 4853
Q:

Two persons K and L enter into a business by investing their sum in the ratio of 7 : 9. After 7 months, L leaves the business. After eleven month, if total profit is Rs. 2460, what is the profit share of L (in Rs)?

A) Rs, 1109 B) Rs. 1107
C) Rs. 1111 D) Rs. 1113
 
Answer & Explanation Answer: B) Rs. 1107

Explanation:

From the given data,

K's profit : L's profit = 7x x 11 : 9x x 7

= 11:9

Therefore, L's profit = 9 x 2460/20 =  Rs. 1107

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8 4847
Q:

Guess the Hiding Letter  ?

19113839_1330685610371873_3858733463247627315_n1499402539.jpg image

A) D B) K
C) L D) G
 
Answer & Explanation Answer: D) G

Explanation:

Starting from letter 'S' add 5 in the clock wise direction to get the next letter in English alphabets.

Here S + 5 => 19 + 5 = 24 => X

X + 5 = 24 + 5 = 3 => C

Similarly, 

B + 5 = G

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13 4846
Q:

In an exhibition, Almond bought a painting for Rs. 20000. He later sold it to Olive for Rs. 23000. Olive sold it to Sarah for double the profit percentage that Almond earned. At what price should Sarah sell this painting to earn 8% profit ?

A) Rs. 34,410 B) Rs. 31,184
C) Rs. 29,999 D) Rs. 32,292
 
Answer & Explanation Answer: D) Rs. 32,292

Explanation:

Almond Selling price = CP(1 + P%/100)

=> CP = 20000, SP = 23000

=> 23000 = 20000 (1 + P/100)

=> P% = 100(23000/20000 - 1) = 15

Then, Olive's P% = 30%

SP for Olive = CP for Sarah = 23000(1 + 30/100) = 29900

Now Sarah wants to earn profit of 8%

=> Sp for Sarah = 29900(1 + 8/100)

= Rs. 32,292.

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11 4841
Q:

Three friends Rudra, Siva and Anvesh start to run around a circular stadium. They complete a revolution in 24, 36 and 30 seconds respectively. After how many minutes will they meet at the starting point ?

A) 60 B) 120
C) 360 D) 6
 
Answer & Explanation Answer: D) 6

Explanation:

For this we have to find the LCM of 24, 36 and 30

LCM of 24, 36 and 30 = 360 sec

360/60 min = 6 minutes.

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10 4837
Q:

The ratio between present ages of Renuka and Sony is 5 : 4 . 4 years ago, Sony's age was 24 years. What will be Renuka's age after 5 years ?

A) 25 B) 30
C) 35 D) 40
 
Answer & Explanation Answer: D) 40

Explanation:

Present age of Sony = 24 + 4 = 28 years

After 5 years Renuka's age = 7×5 + 5 = 40 years

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8 4836
Q:

Carbon monoxide is a common atmospheric pollutant.

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

Explanation:

Carbon monoxide is one of the major pollutant present in the world. The six most common pollutants include ozone, carbon monoxide, sulfur dioxide, lead, nitrogen oxides, and particulate matter.


 


Carbon monoxide is a common atmospheric pollutant. It is produced largely in combustion processes like in industries and in vehicles. It is a gas that cannot be seen nor smelled.

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Subject: General Awareness
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1 4829