GATE Questions

Q:

Solve this inequality 3p - 16 < 20?

A) p >= 12 B) p <= 11/3
C) p < 12 D) p > 11/3
 
Answer & Explanation Answer: C) p < 12

Explanation:

The given inequality is 3p - 16 < 20

For solving this inequality, follow these steps

Now add 16 on both sides

we get 3p - 16 + 16 < 20 + 16

=> 3p  < 36

Now divide the above eqn with 3 on both sides

we get, 3p/3 < 36/3

p < 12.

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Q:

In how many ways the letters of the word 'CIRCUMSTANCES' can be arranged such that all vowels came at odd places and N always comes at end?

A) 1,51,200 ways. B) 5,04,020 ways
C) 72,000 ways D) None of the above
 
Answer & Explanation Answer: A) 1,51,200 ways.

Explanation:

In circumcstances word there are 3C's, 2S's, I, U,R, T, A, N, E

Total = 13 letters

But last letter must be N

Hence, available places = 12

In that odd places = 1, 3, 5, 7, 9, 11

Owvels = 4

This can be done in 6P4 ways 

Remaining 7 letters can be arranged in 7!/3! x 2! ways

 

Hence, total number of ways = 6P4 x 7!/3! x 2! = 360 x 5040/12 = 1,51,200 ways.

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Filed Under: Permutations and Combinations
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Q:

Solve this math logical puzzle

how_many_total_digits1560511557.jpg image

A) 192 B) 180
C) 196 D) 189
 
Answer & Explanation Answer: A) 192

Explanation:

Pages are denoted as 

1 - 9 = 09

10 - 99 = 90*2 = 180

100 = 03

 

Hence, total number of digits = 09 + 180 + 03 = 192.

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Q:

Why are manhole covers round?

Answer

A number of possible explanations for why manhole covers are round include :


 


1. A round manhole cover cannot fall through its circular opening, whereas a square, rectangular, or oval manhole cover could fall in if it were inserted diagonally in the hole.


2. Circular covers don’t need to be rotated or precisely aligned when placing them on the opening.


3. A round manhole cover is easily moved and rolled.


4. Human beings have a roughly circular cross-section.


5. Round tubes are the strongest shape against the compression of the earth around them, so the cover of the tube would naturally be round as well.


6. It’s easier to dig a circular hole.

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Q:

How many valence electrons are in carbon?

A) 2 B) 4
C) 6 D) 3
 
Answer & Explanation Answer: B) 4

Explanation:

The main group number for an element can be found from its column on the periodic table. For example, carbon is in group 4 and has 4 valence electrons. Oxygen is in group 6 and has 6 valence electrons.

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2 2855
Q:

Which of the following elements has the highest electronegativity?

A) Chlorine B) Bromine
C) Fluorine D) Helium
 
Answer & Explanation Answer: C) Fluorine

Explanation:

Electronegativity refers to the ability of an atom to attract shared electrons in a covalent bond. The higher the value of the electronegativity, the more strongly that element attracts the shared electrons.

Electronegativity increases from bottom to top in groups, and increases from left to right across periods. Thus, fluorine is the most electronegative element and lithium is the least.

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Q:

Where are Maglev trains used?

A) London B) Russia
C) Germany D) Japan
 
Answer & Explanation Answer: D) Japan

Explanation:

Maglev trains are used in Japan, South Korea and China only.

Maglev derived from magnetic levitation using the principle of magnetic repulsion is a system of train transportation that uses two sets of magnets, one set to repel and push the train up off the track as in levitation then another set to move the 'floating train' ahead at great speed taking advantage of no friction. Maglev trains are therefore quieter and smoother than conventional trains, and have the potential for much higher speeds

Despite over a century of research and development, maglev transport systems are in operation in just three countries Japan, South Korea and China.

 

Hence Maglev -- Magnetic-levitation.

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3 2847
Q:

Instrument used to measure oxygen?

A) Aminometer B) Respirometer
C) Thaleometer D) Galiometer
 
Answer & Explanation Answer: B) Respirometer

Explanation:

A respirometer is a device used to measure the rate of respiration of a living organism by measuring its rate of exchange of oxygen and/or carbon dioxide.

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