Aptitude and Reasoning Questions

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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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 4586
Q:

3.2% of 500 × 2. 4% of ? = 312

A) 812.5 B) 829.75
C) 749.85 D) 799.5
 
Answer & Explanation Answer: A) 812.5

Explanation:

Given 3.2% of 500 × 2. 4% of ? = 312Then,3.2 x 500100 x 2.4 x ?100 = 31216 x 2.4x?100 = 3129.6 x ?25 = 3129.6 x ? = 7800? = 78009.6? = 812.5

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Filed Under: Percentage
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7 4584
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 4581
Q:

Which word in the dictionary is spelled incorrectly?

Answer

Incorrectly is the only word which is spelled incorrectly in the dictionary.

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Subject: Alphabet Test Exam Prep: AIEEE , Bank Exams , GRE , TOEFL
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13 4581
Q:

The number of sequences in which 4 players can sing a song, so that the youngest player may not be the last is ?

A) 2580 B) 3687
C) 4320 D) 5460
 
Answer & Explanation Answer: C) 4320

Explanation:

Let 'Y' be the youngest player.

The last song can be sung by any of the remaining 3 players. The first 3 players can sing the song in (3!) ways.

The required number of ways = 3(3!) = 4320.

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Filed Under: Permutations and Combinations
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5 4580
Q:

A steamer moves with a speed of 4.5 km/h in still water to a certain upstream point and comes back to the starting point in a river which flows at 1.5 km/h. The average speed of steamer for the total journey is

A) 12 km/h B) 10 km/h
C) 6 km/h D) 4 km/h
 
Answer & Explanation Answer: D) 4 km/h

Explanation:

Speed of streamer = 4.5 km/hrSpeed of water = 1.5 km/hr

Downstream speed = 4.5+1.5 = 6 km/hr

Upstream speed = 4.5 -1.5 = 3 km/hr

Average Speed = (6 X 3) / 4.5 = 4km/hr

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

11 4575
Q:

If 1st January 2013 was Tuesday, then what day of the week will be 31st December 2013?

A) Wednesday B) Thursday
C) Tuesday D) Monday
 
Answer & Explanation Answer: C) Tuesday

Explanation:
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Filed Under: Calendar
Exam Prep: Bank Exams

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