GATE Questions

Q:

An individual deposited 20% of 25% of 30% of what he had into his account with a bank. If he deposited Rs.750, how much was he having initially with him before depositing ?

A) Rs. 38000 B) Rs. 47000
C) Rs. 50000 D) Rs. 35000
 
Answer & Explanation Answer: C) Rs. 50000

Explanation:

Let 'x' be the amount he had in the bank.

=> 20/100(25/100(30/100(x))) = 750

x = 750 x 8000/120 = Rs. 50000

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Filed Under: Percentage
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5 7515
Q:

An object at rest may have

A) Momentum B) Potential energy
C) Velocity D) Kinetic energy
 
Answer & Explanation Answer: B) Potential energy

Explanation:

An object at rest may have Potential energy.

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Filed Under: Physics
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14 7510
Q:

A Tank is normally filled in 9 hours but takes four hours longer to fill because of a leak in its bottom. If the tank is full, the leak will empty it in ?

A) 32.5 hrs B) 29.25 hrs
C) 30.30 hrs D) 31 hrs
 
Answer & Explanation Answer: B) 29.25 hrs

Explanation:

Let the leak will empty the tank in x hrs 

Then, 1/9 - 1/x = 1/13

x = 29.25 hrs

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Filed Under: Pipes and Cistern
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10 7502
Q:

K and L starts walking towards each other at 4 pm at speed of 3 km/hr and 4 km/hr respectively. They were initially 17.5 km apart. At what time do they meet ?

A) 6:00 am B) 6:30 pm
C) 5:45 am D) 5:52 pm
 
Answer & Explanation Answer: B) 6:30 pm

Explanation:

Suppose they meet after 'h' hours

Then

3h + 4h = 17.5

7h = 17.5

h = 2.5 hours

So they meet at => 4 + 2.5 = 6:30 pm

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Filed Under: Time and Distance
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12 7502
Q:

Read the following puzzle carefully, answer the question asked below ?

Seven person K, L, M, N, O, P & Q likes seven colours. Yellow, White, Red, Orange, Blue, Gray and Black. They visit in different days starting from Monday to Sunday.

1) K visits one day after Thursday.

2) Only 4 people are in between K and L

3) The one who likes Red colour visits immediately after L.

4) Only one person visit between Red and Blue

5) The one who like white colour visit before one of days on which day M visits

6) The one who like white colour does not visit on Monday.

7) Only 1 person is in between N and O. N like Yellow.

8) There are same as many person in between K and Blue colour which are one less in between L and M.

9) Neither Q nor P likes Black.

10) Q does not visit on Saturday and does not like grey colour.

Question :

Who visits on Sunday and Tuesday and their favourite colors ?

A) P & M B) N & K
C) K & L D) P & Q
 
Answer & Explanation Answer: C) K & L

Explanation:

Monday          - N  - Yellow

Tuesday         - L  - White

Wednesday    - O  - Red

Thursday       - Q  - Orange

Friday           - M  - Blue

Saturday       - P  - Grey

Sunday         - K  - Black

From the above table,

K & L visits Sunday & Tuesday and their favourite colors are Black and white respectively.

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12 7499
Q:

64 S on CB?

Answer

The given statement implies that 64 Squares on Carrom Board.

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14 7495
Q:

On a ruler's tombstone, it is said that one sixth of his life was spent in childhood and one twelfth as a teenager. One seventh of his life passed between the time he became an adult and the time he married; five years later, his son was born. Alas, the son died four years before he did. He lived to be twice as old as his son did. How old did the ruler live to be ?

A) 84 years B) 72 years
C) 82 years D) 64 years
 
Answer & Explanation Answer: A) 84 years

Explanation:

Let the age of ruler is x so that of son = x/2 (given)
Now according to the given condition
(x/6) + (x/12) + (x/7) + 5 + (x/2) + 4 = x
=> x = 84

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Filed Under: Problems on Ages
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6 7474
Q:

How many rectangles can be drawn with 36 cm as the perimeter, given that the sides are positive integers in cm?

A) 8 B) 9
C) 10 D) 11
 
Answer & Explanation Answer: B) 9

Explanation:

Perimeter = 36


⇒ 2 ( l + w ) = 36


⇒ l + w = 18


Since length and width are positive integers in centimeters.

Therefore, possible dimensions are :


( 1, 17 )cm , ( 2, 16 ) cm , ( 3, 15 ) cm, (4 , 14) cm, ( 5,13) cm, ( 6, 12) cm , ( 7, 11) cm, ( 8, 10 ) cm, ( 9, 9) cm.


Hence, there are 9 rectangles.

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Filed Under: Arithmetical Reasoning
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12 7473