Aptitude and Reasoning Questions

Q:

Train A takes 45 minutes more than train B to travel a distance of 450 km. Due to engine trouble speed of train B falls by a quarter, so it takes 30 minutes more than Train A to complete the same journey. What is the speed of Train A (in km/hr)?

A) 90 B) 120
C) 100 D) 110
 
Answer & Explanation Answer: C) 100

Explanation:
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Filed Under: Problems on Trains
Exam Prep: Bank Exams

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Q:

If a boat goes upstream at a speed of 18 km/hr and comes back the same distance at 30 km/hr. What is the average speed (in km/hr) for the total journey?

A) 22.5 B) 24
C) 20.5 D) 25
 
Answer & Explanation Answer: A) 22.5

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

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Q:

In the given figure, QRU = 72°, TRS = 15°, PSR = 95° , then what is the value (in deg) of PQR?

A) 85 B) 95
C) 75 D) 90
 
Answer & Explanation Answer: B) 95

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

Which set represents a pythagorean triple?

A) 68, 72, 81 B) 35, 38, 42
C) 27, 38, 42 D) 33, 44, 55
 
Answer & Explanation Answer: D) 33, 44, 55

Explanation:

A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c².

Here we know, that 3, 4, 5 are pythagorean triplets as 25 = 9 + 16. Hence, its multiple will also be a pythagorean triple.

 

In the options given, (3 x 11 , 4 x 11 , 5 x 11) = 33, 44, 55 is a pythagorean triplet.  

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Filed Under: Arithmetical Reasoning
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

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Q:

A student multiplied a number by 4/5 instead of 5/4. What is the percentage error in the calculation?

A) 56.25 percent B) 18 percent
C) 28.13 percent D) 36 percent
 
Answer & Explanation Answer: D) 36 percent

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT

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Q:

50.003% of 99.8÷49.988 = ?

A) 2 B) 0
C) 1 D) 50
 
Answer & Explanation Answer: C) 1

Explanation:

50.003% of 99.8 ÷ 49.988 = ?

 

? ~= (50 x 100/100)/50

 

? ~= (50 x 100)/(100 x 50)

 

? ~= 1

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Filed Under: Simplification
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

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Q:

If (x/a) + (y/b) = 3 and (x/b) – (y/a) = 9, then what is the value of x/y?

A) ( b + 3 a)/( a – 3 b) B) ( a + 3 b)/( b – 3 a)
C) (1 + 3 a)/( a + 3 b) D) ( a + 3 b2)/( b – 3 a2)
 
Answer & Explanation Answer: A) ( b + 3 a)/( a – 3 b)

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

How many numbers of five digits can be formed by using the digits 1, 0, 2, 3, 5, 6 which are between 50000 and 60000 without repeating the digits?

A) 120 B) 240
C) 256 D) 360
 
Answer & Explanation Answer: A) 120

Explanation:

Required number of 5 digit numbers can be formed by using the digits 1, 0, 2, 3, 5, 6 which are between 50000 and 60000 without repeating the digits are 

5 x 4 x 3 x 2 x 1 = 120.

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

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