GATE Questions

Q:

What is the systematic name of PbO?

A) Plumbic oxide B) Lead oxide
C) Lead(II) oxide D) All of the above
 
Answer & Explanation Answer: C) Lead(II) oxide

Explanation:

The systematic name for a chemical is the unique name given to it by the International Union of Pure Applied Chemistry (IUPAC). The IUPAC name can differ from a chemical compound's general name.

 

PbO is an ionic compound since it consists of a Lead as metal and Oxygen as nonmetal. The systematic name for PbO is Lead (II) oxide. Here we need to put the (II) since lead has more than one combining capacity.

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Q:

A person sold two cows each for Rs.9900. If he gained 10% on one and lost 20% on the other, then which of the following is true ?

A) He lost Rs. 200 B) He gained Rs. 200
C) Neither he gained nor lost D) None of the above
 
Answer & Explanation Answer: D) None of the above

Explanation:

In first he got Rs. 990

But in second he lost Rs. 1980

So he lost Rs. 990.

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Q:

K is 4 times as fast as L and working together, they can complete a work in 24 days. In how many days can L alone complete the work ?

A) 30 days B) 40 days
C) 120 days D) 80 days
 
Answer & Explanation Answer: A) 30 days

Explanation:

Given K=4L 

-->K+L = 4L+L = 5L

 

These 5L people can complete the work in 24 days, which means L alone can do the work in (24 x 5)=120 days.

 

Hence, K alone can do the work in 120/4= 30 days.

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4 5786
Q:

That which cannot be seen -

A) Invisible B) Unseen
C) Intangible D) All of the above
 
Answer & Explanation Answer: A) Invisible

Explanation:
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10 5781
Q:

A six-digit number is formed by repeating a three-digit number; for example, 404404 or 415415 etc. Any number of this form is always exactly divisible by 

A) 101 B) 901
C) 1001 D) 789
 
Answer & Explanation Answer: C) 1001

Explanation:

Here by trial and error method, we can obseve that

404404 = 404 x 1001; 415415 = 415 x 1001, etc.

So, any number of this form is divisible by 1001.

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Q:

What Does BIOS Stand For

A) Backup Input Output System B) Battery Integrated Operating Setup
C) Basic Input Output System D) Better Integrated Operating System
 
Answer & Explanation Answer: C) Basic Input Output System

Explanation:

BIOS in computers stands for Basic Input Output System.

 

BIOS is a set of computer instructions in firmware which control input and output operations.

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25 5777
Q:

 A motorboat takes half time to cover a certain distance downstream than upstream. What is the ratio between rate of current and rate of boat in still water?

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

Explanation:

Let the speed of the boat in still water is 'w'

Speed of the current is 'c'

Let the distance between two places is 'd'

According to the question, motorboat takes half time to cover a certain distance downstream than upstream.

dw+c = 12dw-c

=> 2w - 2c = w + c

=> w = 3c

=> c : w = 1 : 3

 

Hence, the ratio between rate of current(c) and rate of boat in still water(w) = 1 : 3

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Q:

If a girl cycles at 10 kmph, then she arrives at a certain place at 1 p.m. If she cycles at 15 kmph, she will arrive at the same place at 11 a.m. At what speed must she cycle to get there at noon?

A) 14 kmph B) 13 kmph
C) 12 kmph D) 11 kmph
 
Answer & Explanation Answer: C) 12 kmph

Explanation:

The distance is constant in this case.

Let the time taken for travel with a speed of 10 kmph be 't'.

Now the speed of 15 kmph is 3/2 times the speed of 10 kmph.

Therefore, time taken with the speed of 15 kmph will be 2t/3 (speed is inversely proportional to time)

Extra time taken = t - 2t/3 = t/3

=> 1pm - 11am = 2hrs

=> t/3 = 2h

=> t = 6 hrs.

Now, Distance = speed x time = 10 x 6 = 60 kms

Time he takes to reach at noon = 6 - 1 = 5 hrs

Now, Speed = 60/5 = 12 kmph.

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