GATE Questions

Q:

A mixture of 70 litres of Fruit Juice and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12.5% water   ?

A) 2 lit B) 4 lit
C) 1 lit D) 3 lit
 
Answer & Explanation Answer: A) 2 lit

Explanation:

Quantity of fruit juice in the mixture = 70 - [70 x (10/100) ]= 63 litres.

 

After adding water, juice would form 87.5% of the mixture.

 

Hence, if quantity of mixture after adding x liters of water, [(87.5) /100 ]*x = 63 => x = 72 

 

Hence 72 - 70 = 2 litres of water must be added.

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Filed Under: Alligation or Mixture
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24 14625
Q:

If a number 72k23l is divisible by 88. Then find value of k and l ?

A) k=8 & l=2 B) k=7 & l=2
C) k=8 & l=3 D) k=7 & l=1
 
Answer & Explanation Answer: B) k=7 & l=2

Explanation:

If a number to be divisile by 88, it should be divisible by both "8" and "11"

Check for '8' :
For a number to be divisible by "8", the last 3-digit should be divisible by "8"
Here 72x23y --> last 3-digit is '23y'
So y=2 [ (i.e) 232 is absolutely divisible by "8"]

Chech for '11' :
For a number to be divisible by "11" , sum of odd digits - sum of even digits should be divisible by "11"
(7 + x + 3) - (2 + 2 + y)
(7 + x + 3) - (2 + 2 + 2)
(10 + x) - 6 should be divisible by "11"
for x = 7
=> 17 - 6 = 11 [ which is absolutely divisible by "11"]

So x = 7 , y= 2.

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Filed Under: Problems on Numbers
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10 14612
Q:

Protagonist is to heroine as clothing is to

A) Jeans B) Villain
C) Hero D) Shopping
 
Answer & Explanation Answer: A) Jeans

Explanation:

Protagonist and heroine are synonums to each other. Similarly, clothing and jeans are synonyms to each other in the given options. 

 

Hence, Protagonist is to heroine as clothing is to jeans.

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Filed Under: Analogy
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2 14607
Q:

The default header for a worksheet is

A) The date and time B) User name
C) Date & Time D) None of the above
 
Answer & Explanation Answer: D) None of the above

Explanation:

MS Excel is the widely used worksheet in computer applications. We can add what we want in the header and footer of MS Excel sheets.

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Filed Under: Computer
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18 14574
Q:

Two girls ate dinner together.

 After that they both ordered iced tea. One girl drank them very fast and had finished five in the time it took the other to drink just one.

The girl who drank one died while the other survived. However, all of the drinks that were served turned out to contain poison.

 

How did the girl who drank the most survive?

Answer

The poison was in the ice. When the girl drank the iced tea, the ice was still fully frozen. Gradually, as the ice cubes melted the poison was released into the drink.


 


Hence, the girl who died, drunk the tea after the ice melted. So, she was died. 

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31 14568
Q:

8 S on a SS means?

Answer

8 S on SS means 8 Sides on a Stop Sign.


This is one type of Letter Equations which are well known phrases or facts where the key words have been replaced with the first letter of that word. These are often in the form of an equation, which contain a number, an = sign and the rest of the obscured phrase or fact.


 


Some more of them are ::


90 D in a RA


26 L of the A 


12 S of the Z.

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Subject: Logic Puzzles Exam Prep: AIEEE , Bank Exams , CAT , GATE
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23 14541
Q:

The percentage discount offered for "Buy 6 get 1 free is" ?

A) 85.78 % B) 58. 48 %
C) 19.25 % D) 14.285 %
 
Answer & Explanation Answer: D) 14.285 %

Explanation:

Total Items = 7
Discounted = 1
Percentage = 1/7 x 100
= 14.285%

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Filed Under: Percentage
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16 14541
Q:

In a parking lot there are two types of vehicles, two wheelers and four wheelers. The total number of the vehicles in the parking lot is 200. When the number of the wheels of all the vehicles is counted it is counted to be 580. Find the total number of the four wheeler vehicles in the parking lot ?

A) 110 B) 90
C) 100 D) 180
 
Answer & Explanation Answer: B) 90

Explanation:

Let number of 2 wheelers be 'x'
and 4 wheelers be 'y'

Given total number of vehicles = 200
i.e, x + y = 200 ....(1)

Given total number of wheels = 580
i.e, 2x + 4y = 580 ...(2)

By solving (1)&(2), we get

y = 90
=> x = 110

Therefore, number of two wheelers = 110
number of four wheelers = 90

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Filed Under: Arithmetical Reasoning
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21 14533