GATE Questions

Q:

In how many ways the word 'SCOOTY' can be arranged such that 'S' and 'Y' are always at two ends?

A) 720 B) 360
C) 120 D) 24
 
Answer & Explanation Answer: D) 24

Explanation:

Given word is SCOOTY

ATQ,

Except S & Y number of letters are 4(C 2O's T)

Hence, required number of arrangements = 4!/2! x 2! = 4!

= 4 x 3 x 2

= 24 ways.

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Q:

Find the odd man out of the following number series?

22, 26, 42, 78, 142, 244

A) 244 B) 142
C) 78 D) 42
 
Answer & Explanation Answer: A) 244

Explanation:

The given number series 22, 26, 42, 78, 142, 244 follows a pattern that,

2222 + 22 = 22 + 4 = 2626 + 42 = 26 + 16 = 4242 + 62 = 42 + 36 = 7878 + 82 = 78 + 64 = 142142 + 102 = 142 + 100 = 242 

 

Hence, the odd one in the given number series is 244.

 

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Q:

Rushi and Arun are two business partners. They invest their capital in the ratio 7 : 9. After 6 months, a third person Ram joins them with a capital of two third of that of Arun. After a year, profit share of Rushi was Rs. 5600, then find total profit?

A) 26,250 B) 19,200
C) 18,650, D) 15,200
 
Answer & Explanation Answer: D) 15,200

Explanation:

Ratio of investment of all the three members = (7 x 12) : (9 x 12) : (2/3 x 9 x 6)

= 7 : 9 : 3

Given Rushi's one year profit = Rs. 5600

=> Let the total profit = Rs. P

Then,

P x 7/19 = 5600

Total profit P = 19 x 5600/7 = Rs. 15,200.

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Q:

Which elements are malleable and good conductors of electricity?

A) tin and silver B) iodine and silver
C) tin and xenon D) iodine and xenon
 
Answer & Explanation Answer: A) tin and silver

Explanation:

Tin and Silver are malleable and good conductors of electricity. The other combinations have a non metal in them which are bad conductors.

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Q:

Which of the following is a chemical property?

A) Reactivity B) Solubility
C) Density D) All of the above
 
Answer & Explanation Answer: A) Reactivity

Explanation:

The ability of two or more substances to combine to form other substances is called Reactivity.

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Q:

Which three components are common to all amino acids?

Answer

Any two amino acids vary structure by the r-group, otherwise all amino acids are in the same structure. All amino acids have in common carboxyl group -COO , amino group -NH3+ and a hydrogen -H and a r-group which are all bonded to a central carbon.

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Q:

Covalent bonds hold atoms together because they 

A) fill shells without giving atoms much charge B) bring electrons closer to protons
C) Both A & B D) use forces between nuclei as well as forces between electrons
 
Answer & Explanation Answer: C) Both A & B

Explanation:

Covalent bonds hold atoms together because the attraction between the positively charged nuclei and the negatively charged shared electrons is greater than the repulsions between the nuclei themselves.

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Q:

Gases in the atmosphere and their percentages?

Answer

The air around us is a mixture of gases, mainly nitrogen and oxygen, but containing much smaller amounts of water and other gases.


Earth's atmosphere is composed of many gases. Their percentages by volume is given by::


 
78% Nitrogen,


21% Oxygen,


0.9% Argon, and


0.03% Carbon dioxide 


And very small percentages of other elements.


 

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