GATE Questions

Q:

The length, breadth and height of a room are in the ratio 7:3:1. If the breadth and height are doubled while the length is halved, then by what percent the total area of the 4 walls of the room will be increased  ?

A) 90% B) 88%
C) 85% D) 84%
 
Answer & Explanation Answer: A) 90%

Explanation:

Let length, breadth and height of the room be 7, 3, 1 unit respectively.

Area of walls = 2(l+b)xh = 2(7+3)x1 = 20 sq. unit.

Now, length, breadth and height of room will become 3.5, 6 and 2 respectively. 

Area of walls = 2(l+b)xh = 2(3.5+6)x2 = 38 sq. unit. 

% Increase in the area of walls = (38-20)x100/20 = 90%.

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Filed Under: Area
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15 5911
Q:

Find the odd one out of the following words ?

A) cruise B) crusade
C) expedition D) campaign
 
Answer & Explanation Answer: A) cruise

Explanation:

Cruise = a sea voyage for pleasure. All other words are related to ‘journey on land, sea with an aim’.

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Filed Under: Analogy
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3 5909
Q:

3, 6, 17.5, 64.75, ?

A) 304.587 B) 295.875
C) 115.246 D) 101
 
Answer & Explanation Answer: B) 295.875

Explanation:

3

3 x 1.5 + 1.5 = 6

6 x 2.5 + 2.5 = 17.5

17.5 x 3.5 + 3.5 = 64.75

64.75 x 4.5 + 4.5 = 295.875

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Filed Under: Number Series
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24 5906
Q:

A boat can move 5 km/hr in still water. If the river is running at 1 km/hr, it takes it 75 min to move to a place and back. How far is the place?

A) 3 kms B) 5 kms
C) 6 kms D) 4 kms
 
Answer & Explanation Answer: A) 3 kms

Explanation:

Let the place be at a distance of 'd' kms

From the given data,

d5 - 1 + d5 + 1 = 7560 kmsd4 + d6 = 54

5d/12 = 5/4 => d = 3 kms.

 

Hence, the place is 3 kms far.

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Filed Under: Boats and Streams
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21 5904
Q:

12 N in a C =

Answer

12 N in a C means 12 Numbers in a Clock. 

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8 5904
Q:

LCD of 12 and 18

A) 36 B) 42
C) 12 D) 6
 
Answer & Explanation Answer: A) 36

Explanation:

  LCD is nothing but Lowest or Least Common Denominator

 

Here LCD of 12 and 18 means LCD of two fractions with denominators 12 and 18 respectively.

 

Therefore, LCM of 12 & 18 = 6 x 3 x 2 = 36 

 

      •  How to calculate LCD ::


The lowest common denominator or least common denominator (LCD) is the least common multiple (LCM) of the denominators of a set of fractions.

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Filed Under: HCF and LCM
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27 5900
Q:

Whale : Mammal :: Rat : ?

A) Rodent B) Mammal
C) Amphibian D) Reptile
 
Answer & Explanation Answer: A) Rodent

Explanation:

Whale belongs to Mammal category whereas Rat belongs to Rodent.

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Filed Under: Analogy
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8 5899
Q:

X and Y entered into partnership with Rs. 700 and Rs. 600 respectively. After another 3 months, X withdrew two- sevenths of his stock but after 3 months, he puts back three-fifths of what he had withdrawn. The total profit at the end of the year is Rs. 726. How much of this should X receive?

A) Rs. 336 B) Rs. 366
C) Rs. 633 D) Rs. 663
 
Answer & Explanation Answer: B) Rs. 366

Explanation:

Profit ratio X & Y = (700 × 3) + (700 × 5/7× 3) + (700× 5/7 + 200 × 3/5 )× 6 : 600 ×12
X:Y= 7320 : 7200= 183:180
∴ X’s share from profit = 183 × 726/(183+180) = Rs. 366.

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1 5894