GATE Questions

Q:

Four girls Robin, Mandy, Stacy, Erica of four families Miller, Jacob, Flure and Clark prepare four salads using the fruits Apples, cherries, bananas, grapes .Each girls uses 3 fruits in her salad. No body have the same combination.

1) Robin not a Miller girl uses apples.
2) Miller and Mandy uses apples and cherries.
3) Clark uses cherries and grapes but Flure uses only one of them.
4) Erica is not Clark nor Flure.

Question :

Give all combinations of Girls with their family and salads ?

Answer

Out of 4 fruits, any 3 are chosen by 4 families.So the combinations are
Apple - A Cherries - C Banana - B Grapes - G
1) ACB
2) ACG
3) BCG
4) GAB


By 2nd condition, Miller family uses either i)ACB or ii)ACG
Now we have Robin, Mandy and Miller who uses apples (ACB,ACG,GAB)
while Miller and Mandy both uses A and C. That leaves GAB for Robin.


By 3rd condition Flure uses either C or G. So if we leave out the terms containing both C and G, we are left with ACB and GAB


Now, for the time being let's suppose Robin is not a Flure.
So ACB is taken by Flure.


So ACG has to be Miller and that leaves BCG to be Clark. So we get Robin - Jacob(GAB).


By 4th and 2nd conditions Erica and Mandy belong to the first two. That leaves Stacy - Clark(BCG).


By 2nd condition Mandy is not a Miller, so we get Mandy - Flure(ACB) and that leaves Erica - Miller(ACG).

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Q:

In a class of 80 students and 5 teachers, each student got shopping coupons that are 15% of the total number of students and each teacher got shopping coupons, that are 25% of the total number of students. How many shopping coupons were there?

A) 960 B) 1000
C) 1060 D) 100
 
Answer & Explanation Answer: C) 1060

Explanation:

Given total number of students = 80

Total teachers = 5

Number of coupons each student got = 15 x 80/100 = 12

Number of coupons each teacher got = 25 x 80/100 = 20

 

Therefore, total number of shopping coupons = 80 x 12 + 5 x 20 = 960 + 100 = 1060.

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Filed Under: Percentage
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6 3109
Q:

Makaibari is the costliest variety of what?

A) Coffee B) Pepper
C) Tea D) Water
 
Answer & Explanation Answer: C) Tea

Explanation:

Makaibari is the world's first tea factory and was established in 1859 in Darjeeling, West Bengal. 

 

It is most expensive tea in India which costs around 1.12 lakhs for 1 kg of tea.

 

Hence, Makaibari is the costliest variety of Tea.

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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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Filed Under: Chemistry
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0 3101
Q:

Obsession is to compulsion as cognition is to 

A) behavior B) emotion
C) Compulsion D) None of the above
 
Answer & Explanation Answer: A) behavior

Explanation:

Obsession is to compulsion as cognition is to behavior.

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Filed Under: Analogy
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1 3100
Q:

Solve the values?

solve_puzzle1547893377.jpg image

A) P=0, Q=8, R=1 B) P=0, Q=9, R=1
C) P=1, Q=9, R=0 D) P=0, Q=9, R=0
 
Answer & Explanation Answer: D) P=0, Q=9, R=0

Explanation:

By trial and error method,

P=0, Q=9, R=0 satisfies the values.

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Filed Under: Math Puzzles
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7 3097
Q:

ATP generally energizes a cellular process by

A) direct chemical transfer of a phosphate group B) becoming oxidized
C) releasing heat upon hydrolysis D) direct chemical transfer of a sugar group
 
Answer & Explanation Answer: A) direct chemical transfer of a phosphate group

Explanation:

ATP generally energizes a cellular process by direct chemical transfer of a phosphate group.

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Filed Under: Chemistry
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2 3096
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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