GATE Questions

Q:

There are 15 lines in plane. How many intersections (Maximum) can be made ?

A) 55 B) 105
C) 215 D) 148
 
Answer & Explanation Answer: B) 105

Explanation:

First line will cut all other 14, similarly second will cut 13, and so on
Total = 14+13+12+11+10+9+8+7+6+5+4+3+2+1 = 105.

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6 5113
Q:

A sum is equally invested in two different schemes on CI at the rate of 15% and 20% for two years. If interest gained from the sum invested at 20% is Rs. 528.75 more than the sum invested at 15%, find the total sum?

A) Rs. 7000 B) Rs. 4500
C) Rs. 9000 D) Rs. 8200
 
Answer & Explanation Answer: C) Rs. 9000

Explanation:

Let Rs. K invested in each scheme

Two years C.I on 20% = 20 + 20 + 20x20/100 = 44%

Two years C.I on 15% = 15 + 15 + 15x15/100 = 32.25%

Now,

(P x 44/100) - (P x 32.25/100) = 528.75

=> 11.75 P = 52875

=> P = Rs. 4500

 

Hence, total invested money = P + P = 4500 + 4500 = Rs. 9000.

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19 5108
Q:

Rohan spends 24% of an amount of money on an insurance policy, 34% on food, 19% on children’s education and 17% on recreation. He deposits the remaining amount of Rs. 540 in bank. How much total amount does he spend on food and insurance policy together?

A) Rs. 6350 B) Rs. 5220
C) Rs. 5890 D) Rs. 6458
 
Answer & Explanation Answer: B) Rs. 5220

Explanation:

Remaining % of amount with Rohan

= 100 - (24 + 34 + 17 + 19)

= 100 - 94

= 6%

=> 6% = 540

=> 100% = ?

540 x 100/6 = Rs. 9000

Now, Money spent on insurance and food is

= 34 + 24 = 58% of 9000

= 58 x 9000/100

= 58 x 90

= Rs. 5220

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5 5107
Q:

I am always infront of you, but you will never see me. Who am I?

A) Mirror B) Shadow
C) Future D) None of the above
 
Answer & Explanation Answer: C) Future

Explanation:

Yes, future is always infront of us, but no one can see it.

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3 5106
Q:

IP address is currently

A) 4 bytes long B) available in plenty
C) 6 bytes long D) not assigned as it is all used up
 
Answer & Explanation Answer: A) 4 bytes long

Explanation:

IP address is currently 4 bytes long. An IP address is written in "dotted decimal" notation, which is 4 sets of numbers separated by period each set representing 8-bit number ranging from (0-255).

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1 5103
Q:

Which of the following is the lightest metal?

A) Lithium B) Silver
C) Mercury D) Lead
 
Answer & Explanation Answer: A) Lithium

Explanation:

Lithium is the lightest of all the metals due to its low atomic number among metals. It is the lightest solid element.

 

Which_of_the_following_is_the_lightest_metal1552386560.jpg image 

 

Properties ::

 

* It is a soft silvery-white alkali metal.

* Lithium is highly reactive and flammable and is stored in mineral oil.

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0 5101
Q:

Find the logic and solve this mathematical puzzle?

solve_this_maths_puzzle1565956551.jpg image

A) 112 B) 72
C) 127 D) 144
 
Answer & Explanation Answer: D) 144

Explanation:

In the given puzzle, the logic is

2 + 3 = 10 => (2 + 3) * 2 = 10

6 + 3 = 54 => (6 + 3) * 6 = 54

8 + 3 = 88 =>  (8 + 3) * 8 = 88

Similarly,

9 + 7  => (9 + 7) * 9 = 16 x 9 = 144.

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26 5098
Q:

The price of a car is increased by 25%, by how much percent, must the new price of this car be decreased to restore its original price ?

A) 20% B) 24%
C) 21% D) 25%
 
Answer & Explanation Answer: A) 20%

Explanation:

Suppose that the original price of the car = Rs. x 

Then new price of the car

=> (x) + (×25/100) Rs. 5x/

To restore the original price, the new price must be decreased by

5x/− x/4

So required percentage =(x/4)/(5x/4) × 100%

= 20%

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7 5080