Aptitude and Reasoning Questions

Q:

Find the least common multiple of 15 and 12?

A) 3 B) 12
C) 30 D) 60
 
Answer & Explanation Answer: D) 60

Explanation:

The least common multiple of 12 and 15 is

12 = 2 x 2 x 3

15 = 3 x 5

 

LCM of 12 and 15 is  2 x 2 x 3 x 5 = 60.

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Filed Under: HCF and LCM
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Q:

A beaker contains acid and water in the ratio 1 : x. When 300 ml of the mixture and 50 ml of water are mixed, the ratio of acid and water becomes 2 : 5. What is the value of x?

A) 2 B) 1
C) 3 D) 4
 
Answer & Explanation Answer: A) 2

Explanation:
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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

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Q:

Statement: There was a spurt in criminal activities in the city during the recent festival season.
Courses of action:
a. The police should immediately investigate into the causes of this increase.
b. In future the police should take adequate precaution to avoid recurrence of such situation during festival.
c. The known criminals should be arrested before any such season.

A) Both a and b follows B) Only c follows
C) Only a follows D) Both b and c follows
 
Answer & Explanation Answer: A) Both a and b follows

Explanation:

The police ought to find out the lackenings in existing security arrangements and make up for these inadequacies to strengthen security and thus prevent criminal activities in the forthcoming festival. So, both a and b follow. Arresting the known criminals does not ensure safety, for a novice can also indulge in crime. So, c does not follow.

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Filed Under: Statement and Courses of Action
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Q:

In a certain code language, "PEPPER" is written as "@#@@#!" and "AIM" is written as "^?*". How is "PAMPER" written in that code language?

A) @^*@#! B) @*^@#!
C) @^*#@! D) @^*@!#
 
Answer & Explanation Answer: A) @^*@#!

Explanation:
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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

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Q:

To travel 432 km, an Express train takes 1 hour more than Duronto. If however, the speed of the Express train is increased by 50%, it takes 2 hours less than Duronto. What is the speed (in km/hr) of Duronto train?

A) 60 B) 54
C) 48 D) 72
 
Answer & Explanation Answer: B) 54

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

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Q:

Chord AB of a circle when extended meets the tangent to the circle at point P. PT is the tangent touching the circle at point T. If lengths of PT and PB are 6 cm and 4 cm respectively, what is the length of PA?

A) 12 cm B) 11 cm
C) 10 cm D) 9 cm
 
Answer & Explanation Answer: D) 9 cm

Explanation:
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Filed Under: Area
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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
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Q:

75 pupils from a school appeared for an examination and 80% of them passed. Another school entered 10 more pupils than the first school and five pupils less than the first school passed. The pass % of in the second school was :

A) 75% B) 84%
C) 72% D) 64.7%
 
Answer & Explanation Answer: D) 64.7%

Explanation:

no of pupils pupil from first school for examination= 75
No. of pupil passed = 80% of 75 = 60
No. of pupil from second school = 85
No .of pupil passed from 2nd school = 55
Pass % from second school = 55/85 X 100 = 64.70%

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Filed Under: Percentage
Exam Prep: Bank Exams

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