GATE Questions

Q:

In a business, A invested 1200 rs. more than B. B invested his amount for 15 months while A invested for 4 months more than that of B. If total profit was 1240 rs. in which the profit of B is 280 Rs. less than that if A. then what was the invested amount of A?

A) 6000 B) 7000
C) 5000 D) 8000
 
Answer & Explanation Answer: A) 6000

Explanation:

Ans. 
Let B’s investment = x rs.
∴ A’s investment =( x + 1200) rs.
Ratio of the profits of A and B = (x+1200)*(15+4):x*15 = {19(x+1200)}:15x
Now,let the total profit of A =y
∴ total profit of B = (y-280)
But total profit = 1240
⇒y+(y-280)=1240
⇒2y=1520
⇒y= 760
∴profit of A = 760rs.
Profit of B = 760-280=480 rs.
Ratio of profits= 760:480 = 19:12
According to the question,

19(x+1200)/15x = 19/12

12x+14400 = 15x

⇒3x = 14400
⇒x = 4800 rs.
⇒investment of A = 4800+1200
                          = 6000 rs.

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , GATE

3 4432
Q:

There are several peacocks and deers in a cage (with no other types of animals). There are 72 heads and 200 feet inside the cage. How many peacocks are there, and how many deers ?

A) 42 & 24 B) 38 & 26
C) 36 & 24 D) 44 & 28
 
Answer & Explanation Answer: D) 44 & 28

Explanation:

Let
x = peacocks
y = deers

2x + 4y = 200
x + y = 72
y = 72 - x
2x + 288 - 4x = 200
x = 44 peacocks
y = 28 deers

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Filed Under: Numbers
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5 4421
Q:

Break the logic behind the given mathematical puzzle?

Maths_logic_puzzle1557901040.png image

A) 7 B) 8
C) 11 D) 13
 
Answer & Explanation Answer: B) 8

Explanation:

In the given puzzle,

The logic is in the format of lets say, a/b


In that case b doesn't matter, because

2/2 = 1,

6/5 = 6/2 = 3,

10/11 = 10/2 = 5

 

This means that equation is a/2

So 16/19 is equal 16/2 = 8.

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Filed Under: Math Puzzles
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19 4417
Q:

The CPU consists of which two parts?

A) ALU B) Control unit
C) Both A & B D) None of the above
 
Answer & Explanation Answer: C) Both A & B

Explanation:

The Central Processing Unit, consists of Arithmetic and logic unit and Control unit.

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Filed Under: Computer
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8 4415
Q:

What type of mirror is used in car headlights?

A) Concave B) convex
C) Both A & B D) None of the above
 
Answer & Explanation Answer: A) Concave

Explanation:

Concave type of glasses are used in the headlights of the vehicles as the light from the bulb which is at focus will converges out and spreads and reflects back parallely.

 

What_type_of_mirror_is_used_in_car_headlights1535545831.jpg image

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Filed Under: General Science
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6 4413
Q:

In how many ways can letter of the word RAILINGS arrange so that R and S always come together?

A) 1260 B) 2520
C) 5040 D) 1080
 
Answer & Explanation Answer: C) 5040

Explanation:

The number of ways in which the letters of the word RAILINGS can be arranged such that R & S always come together is

 

Count R & S as only 1 space or letter so that RS or SR can be arranged => 7! x 2!

 

But in the word RAILINGS, I repeated for 2 times => 7! x 2!/2! = 7! ways = 5040 ways.

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Filed Under: Permutations and Combinations
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7 4410
Q:

6 B in an O?

A) 6 books in an order B) 6 balls in an over
C) 6 bats in an odd D) None of the above
 
Answer & Explanation Answer: B) 6 balls in an over

Explanation:

6 b in an o means 6 balls in an over in cricket.

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4 4410
Q:

Sravan drove from home to a neighboring town at the speed of 50 km/h and on his returning journey, he drove at the speed of 45 km/h and also took an hour longer to reach home. What distance did he cover?

A) 350 kms B) 450 kms
C) 900 kms D) 700 kms
 
Answer & Explanation Answer: C) 900 kms

Explanation:

Let the distance he covered each way = d kms

According to the question,

d/45 - d/50 = 1

=> d = 450 kms.

 

Hence, the total distance he covered in his way = d + d = 2 d = 2 x 450 = 900 kms.

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14 4408