GATE Questions

Q:

Two solutions have milk & water in the ratio 7:5 and 6:11. Find the proportion in which these two solutions should Be mixed so that the resulting solution has 1 part milk and 2 parts water ?

A) 7 : 12 B) 8 : 13
C) 9 : 4 D) 2 : 5
 
Answer & Explanation Answer: B) 8 : 13

Explanation:

To get the solution that contains 1 part of milk and two parts of water,
they must be mixed in the ratio as
7x+6x/5y+11y = 1/2
26x = 16y
x/y = 16/26
x/y = 8/13

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Filed Under: Ratios and Proportions
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Q:

One-quarter of one-seventh of a land is sold for Rs. 30,000. What is the value of an four fifteenth of land ?

A) Rs.1,92,000 B) Rs.2,24,000
C) Rs.1,26,000 D) Rs.3,42,000
 
Answer & Explanation Answer: B) Rs.2,24,000

Explanation:

One-quarter of one-seventh = 1/4 x 1/7
= 1/28
Now, 1/28 of a land costs = Rs. 30,000
Thus, 8/35 of the land will cost = 30,000 x 28 x 4/15
= Rs. 2,24,000.

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15 12580
Q:

How many meaningful English words can be formed with the letters LGEU using each letter only once in each word ?

A) Zero B) One
C) Two D) Four
 
Answer & Explanation Answer: B) One

Explanation:

'GLUE' is the only meaningful word that can be formed using the letters given.

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Filed Under: Alphabet Test
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22 12546
Q:

Chief component of first generation computer was

A) Vacuum tubes B) integrated circuits
C) transisters D) None of the above
 
Answer & Explanation Answer: A) Vacuum tubes

Explanation:

chief_component_of_first_generation_computer_was1538216221.jpg image

 

The chief component in the first generation computers are  Vacuum tubes.

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16 12510
Q:

Karthik read 613 th of a book in 1st week and 59 th of the remaining book in 2nd week. If there were 100 pages unread after 2nd week, how many pages were there in the book ?

A) 404 B) 415
C) 418 D) 420
 
Answer & Explanation Answer: C) 418

Explanation:

Let the total book be 1

Then, in the 1st week 613th of book is read

i.e remaining pages =  1-613=713


in 2nd week he read 59th of it

i.e 59×713=35117
Remaining pages after 2nd week = 713-35117=28117

But given remaining pages after 2nd week = 100

 

28x117=100

--> x = 418 

 The total pages in the book are 418

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Filed Under: Decimal Fractions
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17 12477
Q:

Pollination by wind is called

A) Hydrophily B) Entomophily
C) Anemophily D) Zoophily
 
Answer & Explanation Answer: C) Anemophily

Explanation:

Pollination by wind is called Anemophily or Wind pollination. The process of the transfer of pollen from one individual plant to another, whereby the pollen is carried by air currents is called Anemophily.

 

Almost all gymnosperms (Non-flowering plants) are anemophilous, as are many plants in the order Poales, including grasses, sedges and rushes.

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Q:

If the given two numbers are respectively 7% and 28% of a third number, then what percentage is the first of the second ?

A) 24% B) 29%
C) 34% D) 25%
 
Answer & Explanation Answer: D) 25%

Explanation:

Here, k = 7 and l = 28
Therefore, first number = klx100 % of second number = 7/28 x 100% of second number = 25% of second number.

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12 12445
Q:

Two Fathers and Two Sons walk into a ice cream parlour. They each buy something for Rs. 50 but they only spent Rs. 150. How is that possible?

Answer

One grandfather, One father and One son makes two fathers and two sons.

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