GATE Questions and Answers with Explanation

Q:

Find the total numbers greater than 4000 that can be formed with digits 2, 3, 4, 5, 6 no digit being repeated in any number ?

A) 120	B) 256
C) 192	D) 244

Answer & Explanation Answer: C) 192

Explanation:

We are having with digits 2, 3, 4, 5 & 6 and numbers greater than 4000 are to be formed, no digit is repeated.

The number can be 4 digited but greater than 4000 or 5 digited.

Number of 4 digited numbers greater than 4000 are
4 or 5 or 6 can occupy thousand place => 3 x ${}^{4}P_{3}$ = 3 x 24 = 72.

5 digited numbers = ${}^{5}P_{5}$ = 5! = 120

So the total numbers greater than 4000 = 72 + 120 = 192

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Filed Under: Permutations and Combinations
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21 14773

Q:

In an examination a candidate got 30% marks and failed by 30 marks. If the passing marks are 60% of the total marks, then the maximum marks will be:

A) 450	B) 600
C) 300	D) 100

Answer & Explanation Answer: D) 100

Explanation:

Passing marks are 0.6x

so 0.3x + 30 = 0.6x => x = 100

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Filed Under: Percentage
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21 14756

Q:

I am an English word with five letters. If you remove my last four I am still pronounced the same. What am I?

Answer

An English word with five letters in which if you remove the last four letters, still pronounced the same is QUEUE.

Workspace

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Subject: Word Puzzles Exam Prep: AIEEE , Bank Exams , CAT , GATE
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91 14748

Q:

Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 3 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill ?

A) 8.21 min	B) 8 min
C) 8.57 min	D) 8.49 min

Answer & Explanation Answer: C) 8.57 min

Explanation:

1/10 + 1/15 = 1/6 x 3 = 1/2

1 - 1/2 = 1/2

1/10 + 1/15 - 1/x = 1/2

x = 8.57 min

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Filed Under: Pipes and Cistern
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36 14701

Q:

A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey ?

A) 5 kmph	B) 7 kmph
C) 3 kmph	D) 4 kmph

Answer & Explanation Answer: D) 4 kmph

Explanation:

Speed of Man = 4.5 kmph
Speed of stream = 1.5 kmph
Speed in DownStream = 6 kmph
Speed in UpStream = 3 kmph
Average Speed = (2 x 6 x 3)/9 = 4 kmph.

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Filed Under: Time and Distance
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16 14666

Q:

Find the appropriate relation for quantity1 and quantity2 in the following question:

Quantity 1: In an examination, Ankita scored 35 marks less than Puneeta. Puneeta scored 65 more marks than Meenakshi. Rakhi scored 115 marks, which is 20 marks more than Meenakshi's. Simpy scored 108 marks less than the maximum marks of the test. What approximate percentage of marks did Simpy score in the examination, if she got 67 marks more than Ankita?

Quantity 2: The length of a rectangle is increased by 60%. By what percent would the width have to be decreased to maintain the same area?

A) Quantity1 < Quantity2	B) Quantity1 ≤ Quantity2
C) Quantity1 ≥ Quantity2	D) Quantity1 > Quantity2

Answer & Explanation Answer: D) Quantity1 > Quantity2

Explanation:

Quantity1-
Rakhi’s marks= 115
Meenakshi’s marks= 115 - 20 = 95
Puneeta’s marks= 95 + 65= 160
Ankita’s marks=160 - 35= 125
Simpy’s marks= 125+ 67= 192
Total maximum marks= 192 + 108= 300
Required percentage marks of Simpy
= $\frac{192}{300} \times 100 = 64 %$
Quantity2-
Let length and breadth be 100.

After increase in length it become 160, then
reduction in breadth be ‘x’
Now, 160*x= 100*100
Hence, x = $\frac{10000}{160} = 62.5$

100-62.5=37.5%

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Filed Under: Quantitative Aptitude - Arithmetic Ability
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Q:

A man rows his boat 60 km downstream and 30 km upstream taking 3 hrs each time. Find the speed of the stream ?

A) 5 kmph	B) 10 kmph
C) 15 kmph	D) 45 kmph

Answer & Explanation Answer: A) 5 kmph

Explanation:

Speed of the boat downstream s=a/t= 60/3 = 20 kmph

Speed of the boat upstream s= d/t = 30/3= 10 kmph

Therefore, The speed of the stream = $\frac{s p e e d o f d o w n s t r e a m - s p e e d o f u p s t r e a m}{2}$ =5 kmph

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Filed Under: Boats and Streams
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34 14631

Q:

You cannot close MS Word application by

A) From File menu choose Close submenu	B) Click X button on title bar
C) Choosing File menu then Exit submenu	D) Press Alt + F4

Answer & Explanation Answer: A) From File menu choose Close submenu

Explanation:

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Filed Under: Computer
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