GATE Questions

Q:

The ratio of investments of two partners A and B is 7:5 and the ratio of their profits is 7:10. If A invested the money for 5 months, find for how much time did B invest the money ?

A) 11 months B) 9 months
C) 7 months D) 10 months
 
Answer & Explanation Answer: D) 10 months

Explanation:

7x5: 5xk = 7:10
k = 10 months

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Filed Under: Partnership
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Q:

The ratio of Pens and Pencils in a shop is 3 : 2 respectively. The average number of Pens and Pencils is 180. What is the number of Pencils in the shop? 

A) 444 B) 344
C) 244 D) 144
 
Answer & Explanation Answer: D) 144

Explanation:

Given ratio of pens and pencils = 3 :2

Number of Pens = 3x

Number of Pencils = 2x

Average number of pencils & Pens = 3x + 2x2 = 180

5x = 360

=> x = 72


Hence, the number of pencils = 2x = 72 x 2 = 144.

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Filed Under: Ratios and Proportions
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Q:

How is my father's brother's only sibling's mother related to my sister's only brother ?

A) Neice B) Aunt
C) Mother D) Grand-mother
 
Answer & Explanation Answer: D) Grand-mother

Explanation:

My father's brother's only sibling is my father. My father's mother is my grandmother. My sister's only brother is myself. So she is my Grandmother.

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Filed Under: Blood Relations
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Q:

Microprocessors as switching devices are for which generation computers?

A) Fourth generation B) Third generation
C) Second generation D) First generation
 
Answer & Explanation Answer: A) Fourth generation

Explanation:

Microprocessors are used in the computers of fourth generation computers. Personal microcomputers were possible due to the microprocessors.

 

Microprocessors further revolutionized the development of computers.

 

The first microprocessor called Intel 4004 was developed by American Intel Corporation in 1971.

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Q:

Frugal : Parsimonious :: ?

A) joy : ecstasy B) rich : poor
C) love : hate D) poor : misery
 
Answer & Explanation Answer: A) joy : ecstasy

Explanation:

Frugal and parsimonious are synonyms of each other and bear the meaning 'being stingy' or 'sparing'. Similarly, joy and ecstasy are related to happiness.

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Filed Under: Analogy
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Q:

Next number in the given series is

9 7 10 6 11 ?

A) 5 B) 4
C) 13 D) 15
 
Answer & Explanation Answer: A) 5

Explanation:

The given number series is 9 7 10 6 11 ?

Here in this we have two number sequences, they are

9, 10, 11, ... and 7, 6, 5, ...

Hence, the next number in the given number series is 6 - 1 = 5.

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Filed Under: Number Series
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Q:

A girl facing north rotates 100(degree) clockwise then 190(degree) anticlockwise. what is new direction of the girl ?

A) North-East B) West
C) South-East D) South
 
Answer & Explanation Answer: B) West

Explanation:

First girl facing North
Then she rotates 100 deg clock wise => 10 deg ES
Then again she rotates 190 deg anti clock wise => for 100 deg it is North and more 90 deg means West.
Therefore, the new direction of the girl is West.

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Filed Under: Direction Sense Test
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Q:

Madhu started a business and he invested in 76000, After some month, Amar came to join with him and invest 57000.The end of the year the total profit was divided among them into ratio form 2 : 1.Find after how many months Amar join.

A) 7 months B) 8 months
C) 3 months D) 4 months
 
Answer & Explanation Answer: D) 4 months

Explanation:

we can assume that Amar join into business after x months. So Amar money was invest into  (12 – x ) months.

 

76000×1257000×(12-x)=21

 

--> 912000 = 114000 ( 12 – x ) = 114 ( 12 – x ) = 912

--> x = 4


After 4 months amar join the business.

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Filed Under: Partnership
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