GATE Questions and Answers with Explanation

Q:

Calculate the number of bricks, each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 m x 5 m when 10% of its volume is occupied by concrete ?

A) 6000	B) 5400
C) 3800	D) 4700

Answer & Explanation Answer: A) 6000

Explanation:

Let 'B' be the nuber of bricks.

=> 10 x 4/100 x 5 x 90/100 = 25/100 x 15/100 x 8/100 x B

=> 10 x 20 x 90 = 15 x 2 x B

=> B = 6000

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Filed Under: Volume and Surface Area
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Q:

Derivative of sinx by first principle?

A) -sinx	B) -cosx
C) cosx	D) sinx

Answer & Explanation Answer: C) cosx

Explanation:

Screenshot_(1)1519127168.png image

Thus, the derivative of sinx by first principle is cosx.

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Filed Under: Simplification
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Q:

What goes up when rain comes down?

A) Air	B) Heat
C) Umbrella	D) None

Answer & Explanation Answer: C) Umbrella

Explanation:

Yes, when rain starts falling umbrella goes up for pretecting us from wetting.

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Filed Under: Logic Puzzles
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Q:

Crack the Logical #MathPuzzle?

24131501_1487128788060887_7609767785986555556_n1512621550.jpg image

Answer

From given data,

Rs. 1 = 40 strawberries => Rs. 2 = 80 strawberries

Rs. 5 = 1 apple => Rs. 95 = 19 apple.

Rs. 3 = 1 mango => Rs. 3 = 1, mango

Now, Total So 100 Rs = 100 Fruits.

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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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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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Q:

If $A = \frac{l o g_{3} (2187)}{5}$ and $B = l o g_{243} (2187)$ , then which one of the following is correct?

A) A	B) A=B
C) A>B	D) can't be determined

Answer & Explanation Answer: B) A=B

Explanation:

Given $A = \frac{\log_{3} (2187)}{5} a n d B = \log_{243} (2187)$

$B = \log_{3^{5}} (2187) = \frac{\log_{3} (2187)}{5}$

=> A

Therefore, A = B

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Filed Under: Logarithms
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Q:

Adam and Smith are working on a project. Adam takes 6 hrs to type 36 pages on a computer, while Smith takes 5 hrs to type 40 pages. How much time will they take, working together on two different computers to type a project of 120 pages?

A) 8 hrs 45 min	B) 8 hrs 42 min
C) 8 hrs	D) 8 hrs 34 min

Answer & Explanation Answer: D) 8 hrs 34 min

Explanation:

Number of pages typed by Adam in 1 hour = 36/6 = 6
Number of pages typed by Smith in 1 hour = 40/5 = 8
Number of pages typed by both in 1 hour = (6 + 8) = 14
Time taken by both to type 110 pages = (120 * 1/14) = $8 \frac{4}{7}$ = 8 hrs 34 min.

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Filed Under: Time and Work
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