GATE Questions

Q:

Manisha went to shop with certain amount, with which she can buy 50 Chacobar or 40 Fivestar. She uses 10% amount for petrol and out of the remaining balance, she purchases 20 Fivestar and some Chacobar. Find the number of Chacobar she can buy?

A) 20 B) 24
C) 26 D) 28
 
Answer & Explanation Answer: A) 20

Explanation:

Let the total amount be 200 {L.C.M of 40 and 50}

Chacobar C.P. = 200/50 = 4

Fivestar C.P = 200/40 = 5

Remaining Money after petrol = [200 - 200×10%] = 180

Remaining money after buying fivestars = [180 - 20×5] = 80

So number of Chacobar she can buy = 80/4 = 20

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Q:

Solve the given math puzzle?

math_puzzle21543466621.jpg image

A) 11 B) 3
C) 10 D) 1
 
Answer & Explanation Answer: C) 10

Explanation:

From the given data,

1 + 9 + 8 = 1

ONE + NINE + EIGHT

Consider the first letters and join them viz O N E = 1

So, now consider 2 + 8 + 9 in similar way

TWO+EIGHT+NINE

First letters are T E N = 10

2 + 8 + 9 = 1⃣0⃣ 

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Filed Under: Math Puzzles
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11 4165
Q:

City of lakes in India is

A) Madurai B) Bhubaneswar
C) Bangaluru D) Udaipur
 
Answer & Explanation Answer: D) Udaipur

Explanation:

Udaipur, a city in the state of Rajasthan which was named after the Maharana Udai Singh - II, is known for its beautiful artificial lakes around the city and lavish royal residences.

                        City_of_lakes_in_India_is1536651340.jpg image

Thus, Udaipur nickname is City of Lakes in India.

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2 4164
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 4158
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 4157
Q:

Which is the oldest tennis tournament in the world and also prestigious?

A) Wimbledon B) US Open
C) French Open D) Australian Open
 
Answer & Explanation Answer: A) Wimbledon

Explanation:

Wimbledon Tournament in the city London, is the prestigious and the oldest tournament in the world.

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4 4155
Q:

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5 ?

A) 2/3 B) 1/2
C) 7/8 D) 4/5
 
Answer & Explanation Answer: B) 1/2

Explanation:

Multiples of 3 below 20 are 3, 6, 9, 12, 15, 18
Multiples of 5 below 20 are 5, 10, 15, 20
Required number of possibilities = 10
Total number of possibilities = 20
Required probability = 10/20 = 1/2.

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Filed Under: Probability
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4 4152
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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