GATE Questions

Q:

Meghana alone would take 32 hours more to complete a job than both Meghana and Ganesh together. If Ganesh worked alone, he took 12 1/2 hours more to complete it than both Meghana and Ganesh worked together. What time would they take if both Meghana and Ganesh worked together?

A) 20 hrs B) 18 hrs
C) 22 hrs D) 20.5 hrs
 
Answer & Explanation Answer: A) 20 hrs

Explanation:

Time taken by both Meghana and Ganesh to work together is given by =

t1 x t2 

Where

t1 = 32 hrst2 = 12 12 hrs = 252 hrs

 

Therefore, time took by both to work together = 

32 x 252 = 16 x 25 = 4 x 5 = 20 hrs

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Filed Under: Time and Work
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9 6341
Q:

75% of 450 + ? % of 560 = 600 

A) 52.385 B) 46.875
C) 42.155 D) 40.555
 
Answer & Explanation Answer: B) 46.875

Explanation:

75% of 450 + ? % of 560 = 600 

75 x 450100 + ? x 560100 = 60075 x 92 + 28p5 = 60075x9x5 + 56p10 = 6003375 + 56p = 600056p = 2625p = 46.875

 

Hence, in the given question ? = 46.875

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Filed Under: Percentage
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4 6338
Q:

What is the systematic name of Mg(NO3)2?

A) Manganese nitrite B) Magnesium nitrite
C) Magnesium nitrate D) Manganese nitrate
 
Answer & Explanation Answer: C) Magnesium nitrate

Explanation:

Mg(NO3)2 is Magnesium nitrate.

 

In the case of Mg(NO3)2, the metal in the compound is magnesium (Mg), and the non-metal here is called the nitrate ion (NO3). This makes the name of the compound simply magnesium nitrate.

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Filed Under: Chemistry
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3 6335
Q:

What goes up when rain comes down?

A) Air B) Heat
C) Umbrella D) None
 
Answer & Explanation Answer: C) Umbrella

Explanation:

Yes, when rain starts falling umbrella goes up for pretecting us from wetting.

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Filed Under: Logic Puzzles
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7 6331
Q:

The last two digits of 2151415?

A) 81 B) 61
C) 91 D) 51
 
Answer & Explanation Answer: D) 51

Explanation:

Unit digit of this expression is always 1 as the base ends with 1. 

For the tenth place digit we need to multiply the digit in the tenth place of the base and unit digit of the power and take its unit digit.

i.e, tenth place digit in 2151 is 5 and

tenth place digit in power 415 is 1

And the units digit in the product of 5 x 1 = 5

 

Therefore, last two digits of 2151415 is 51.

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Filed Under: Mathematical Operations
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23 6317
Q:

How many seconds will a 600 m long train take to cross a man walking with a speed of 7 km/hr in the direction of the moving train if the speed of the train is 67 km/hr ?

A) 29 sec B) 58 sec
C) 36 sec D) 44 sec
 
Answer & Explanation Answer: C) 36 sec

Explanation:

Speed of train relative to man = 67 - 7 = 60 km/hr.
= 60 x 5/18 = 50/3 m/sec.

Time taken to pass the man = 600 x 3/50 = 36 sec.

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Filed Under: Problems on Trains
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3 6314
Q:

Which of the following definitions describes a physical hazard?

A) The most commonly thought of hazard in construction. This hazard includes radiation, extreme temperatures, noise, and vibration. B) These hazards can lead to injuries to the joints or muscles by way of heavy, frequent lifting, repetitive tasks.
C) Can be present in dust, fumes, liquids, solids, mists, vapors, or gases of products used at a site or released during a construction job D) Microorganisms, such as bacteria, fungus, mold, or viruses that can cause illness.
 
Answer & Explanation Answer: A) The most commonly thought of hazard in construction. This hazard includes radiation, extreme temperatures, noise, and vibration.

Explanation:

A physical hazard is defined as "A factor within the environment that can harm the body without necessarily touching it."

Vibration and noise are examples of physical hazards.

 

Physical hazards include but aren't limited to electricity, radiation, pressure, noise, heights and vibration amongst many others.

 

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Filed Under: Physics
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5 6299
Q:

Ratio between heights of two cylinder in the ratio 3:5. Their volumes are in the ratio 27:80. Find ratio between their radius ?

A) 1:3 B) 2:1
C) 3:4 D) 4:7
 
Answer & Explanation Answer: C) 3:4

Explanation:

bank

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Filed Under: Volume and Surface Area
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14 6296