GATE Questions

Q:

Five farmers have 7,9,11,13 & 14 apple trees respectively in their orchards. Last year each of them discovered that every tree in their own orchard yields exactly the same number of apples. Further, if the 3rd farmer gives one apple to the 1st and the 5th gives 3 to each of the 2nd & d 4th, they would all exactly have the same number of apples, what were the yields per tree in the orchards of the 3rd & 4th farmers ?

A) 17 & 9 B) 9 & 11
C) 9 & 9 D) 11 & 9
 
Answer & Explanation Answer: D) 11 & 9

Explanation:

Let the number of apples in each tree of the 5 farmers be a, b, c, d,e respectively. Therefore total no of apples are 7a, 9b, 11c, 13d and 14e respectively.

Given,
7a+1 = 9b+3 = 11c-1 = 13d+3 = 14e-6 = x

9b+3 = 13d+3
===> 9b = 13d
so take b = 13 and d = 9

9b+3 = 9*13+3 = 120
ie, x=120

substituting
7a+1 = 120
7a = 119
a = 17

11c-1 = 120
11c = 121
c=11

14e-6 = 120
14e = 126
e = 9

Yields per tree in the orchards of d 3rd & 4th farmers= 11,9

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Filed Under: Arithmetical Reasoning
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24 24718
Q:

What is the oxidation number of sulfur in H2S?

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

Explanation:

The sum of the oxidation numbers in a compound must equal zero. In the compound hydrogen sulfide, H2S, the two hydrogen atoms have an oxidation number of +1, for a total of +2.

 What_is_the_oxidation_number_of_sulfur_in_H2S1556279499.jpg image

Therefore, the oxidation number of sulfur in the compound is -2, and the sum of the oxidation numbers is 0.

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Filed Under: Chemistry
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31 24610
Q:

A can finish a work in 18 days and B can do the same work in half the time taken by A. then, working together, what part of the same work they can finish in a day ?

A) Total work B) One-fourth work
C) Half work D) Two-third work
 
Answer & Explanation Answer: C) Half work

Explanation:

A can do the work = 18 days
B can do the work = 18/2 = 9 days
(A + B)'s 1 day work = 1/18 + 1/9 = 1/6
=> In 3 days = 3x1/6 = 1/2 work is completed.

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Filed Under: Time and Work
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30 24442
Q:

A Certain sum of money an amounts to Rs 2500 in a span Of 5 years and further to Rs.3000 in a span of 7 years at simple interest The sum is ?

A) Rs. 1800 B) Rs. 2000
C) Rs. 1400 D) Rs. 1250
 
Answer & Explanation Answer: D) Rs. 1250

Explanation:

2500 in 5th year and 3000 in 7th year
So in between 2 years Rs. 500 is increased => for a year 500/2 = 250
So, per year it is increasing Rs.250 then in 5 years => 250 x 5 = 1250
Hence, the initial amount must be 2500 - 1250 = Rs. 1250

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Filed Under: Simple Interest
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16 24326
Q:

What is the saddest fruit?

A) Blackberries B) Strawberries
C) Blueberries D) Pineapples
 
Answer & Explanation Answer: C) Blueberries

Explanation:

Blueberries are the saddest fruits.

 

Reason ::

In English some colors are associated with feelings. Blue is associated with sadness. When you "feel blue" it means that you are feeling sad.

 

Hence, as blueberries has blue in its name it indicates that that is the saddest fruit in logic.

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16 23928
Q:

Generic is most similar in meaning to

A) Branded B) Basic
C) Trademarked D) Specific
 
Answer & Explanation Answer: B) Basic

Explanation:

Generic means related to a group of similar things rather than a particular one. It means it is not a specific thing like branded or trademarked. Hence it is a basic one.

 

Among the given options, Generic is most similar in meaning to Basic.

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Filed Under: English
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35 23807
Q:

What value should come in place of question mark (?) in the following question?

442 + 232 = (?)2 + 44

A) 47 B) 65
C) 52 D) 41
 
Answer & Explanation Answer: A) 47

Explanation:

1936 + 529 = ?2 + 256 2465 = ?2 + 256 ?2 = 2465 - 256 ?2 = 2209 ?=47

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0 23786
Q:

What is the Study of human beauty called?

A) Argology B) Kalology
C) Agrostology D) Oncology
 
Answer & Explanation Answer: B) Kalology

Explanation:

The Study of human beauty and the ways in which beauty influences the society is called as Kalology.

 

What_is_the_Study_of_human_beauty_called1556276841.jpg image

      • This study is focused primarily on human attractiveness, rather than the broader field of aesthetics.

 

      • Opposite of beauty is Ugly.
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Filed Under: General Awareness
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66 23761