GATE Questions

Q:

For purifying drinking water alum is used

A) TRUE B) FALSE
Answer & Explanation Answer: A) TRUE

Explanation:

In purifying drinking water alum is used for coagulation of mud particles.

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Subject: General Science
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7 7015
Q:

12 year old Manish is three times as old as his brother Rajeev. How old will Manish be when he is twice as old as Rajeev ?

A) 12 yrs B) 14 yrs
C) 16 yrs D) 18 yrs
 
Answer & Explanation Answer: C) 16 yrs

Explanation:

12 year old Manish is three times as old as his brother Rajeev who must be 4 years old.
Diff in ages = 8 years.
when Rajeev will become 8 years old, Manish will be 16 yrs old and he will be twice as old as Rajeev.

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Filed Under: Problems on Ages
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7 7008
Q:

Out of three numbers, the first is twice the second and is half of the third. If the average of the three numbers is 56, what will be the sum of the highest number and the lowest number?

A) 120 B) 160
C) 80 D) 60
 
Answer & Explanation Answer: A) 120

Explanation:

Let the three numbers be x, y, z.

From the gien data,

x = 2y ....(1)

x = z/2 => z = 2(2y) = 4y .....(From 1)  ...........(2)

Given average of three numbers = 56

Then,

 

x + y + z3 = 562y + y + 4y3 = 56  (From 1 & 2)7y = 56 x 3y = 24

Now,

x = 2y => x = 2 x 24 = 48

z = 4y = 4 x 24 = 96

 

Now, the highest number is z = 96 & smallest number is y = 24

 

Hence, required sum of highest number and smallest number

= z + y

= 96 + 24

= 120.

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Filed Under: Average
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15 6995
Q:

What kind of apple isn't an apple?

A) Pineapple B) Akero apple
C) Adanac apple D) Aceymac apple
 
Answer & Explanation Answer: A) Pineapple

Explanation:

Except pineapple remaining all three are types of apples.

Pineapple is what kind of apple isn't an apple.

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Filed Under: Logic Puzzles
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4 6984
Q:

A person who insists on something - one word substitute

A) Stickler B) Boaster
C) Disciplinarian D) Instantaneous
 
Answer & Explanation Answer: A) Stickler

Explanation:
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Filed Under: English
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6 6983
Q:

In a mixture of three varities of oils , the ratio of their weight is 4 : 5 : 8. If 5 kg of oils of the first variety, 10 kg of the second variety and some quantity of oils of the third variety are added to the mixture, the ratio of the weights of three varieties of oils becomes as 5 : 7 : 9 in the final mixture, find the quantity of third variety of oil was ? 

A) 15 kg B) 25 kg
C) 35 kg D) 45 kg
 
Answer & Explanation Answer: D) 45 kg

Explanation:

Let the ratio of initial quantity of oils be 'x' => 4x, 5x & 8x.
Let k be the quantity of third variety of oil in the final mixture.
Let the ratio of initial quantity of oils be 'y'
From given details,
4x + 5 = 5y ..... (1)
5x + 10 = 7y .....(2)
8x + k = 9y ......(3)

By solving (1) & (2), we get
x = 5 & y = 5

From (3) => k = 5

Therefore, quantity of third variety of oil was 9y = 9(5) = 45kg.

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13 6981
Q:

Mahesh bought 100 kg of rice for Rs. 1040 and sold it at a loss of as much money as he received for 30 kg rice. At what price did he sell the rice?

A) Rs. 7.46/kg B) Rs. 8/kg
C) Rs. 8.74/kg D) Rs. 8.56/kg
 
Answer & Explanation Answer: B) Rs. 8/kg

Explanation:

Let the selling price of the rice = Rs.P/kg

Now, according to the question,

1040 - 100p = 30p

=> p = 8/kg

 

Hence, the selling price of the rice = Rs. 8/kg

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Filed Under: Profit and Loss
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16 6977
Q:

The letters of the word PROMISE are to be arranged so that three vowels should not come together. Find the number of ways of arrangements?

A) 4320 B) 4694
C) 4957 D) 4871
 
Answer & Explanation Answer: A) 4320

Explanation:

Given Word is PROMISE.

Number of letters in the word PROMISE = 7

Number of ways 7 letters can be arranged = 7! ways

Number of Vowels in word PROMISE = 3 (O, I, E)

Number of ways the vowels can be arranged that 3 Vowels come together = 5! x 3! ways

 

Now, the number of ways of arrangements so that three vowels should not come together

= 7! - (5! x 3!) ways = 5040 - 720 = 4320.

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Filed Under: Permutations and Combinations
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7 6976