Aptitude and Reasoning Questions

Q:

16 men and 12 women can complete a work in 20 days. 18 women can complete the same work in 40 days. In how many days will 12 men 27 women complete the same work?

A) 16 days B) 18 days
C) 19 days D) 21 days
 
Answer & Explanation Answer: A) 16 days

Explanation:

(16M + 12W) x 20 = 18W x 40

=> 2M = 3W

Then,
Convert all men into women

12M + 27W = 27 + 12 x 3/2W = 45W

Let number of days required be 'D'

=> 18 x 40 = 45 x D

=> D = 16 days.

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

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Q:

Refer the below data table and answer the following question.

Steel was what percent of total exports?

A) 24.44 percent B) 21.94 percent
C) 19.44 percent D) 16.94 percent
 
Answer & Explanation Answer: C) 19.44 percent

Explanation:
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Filed Under: Table Charts
Exam Prep: Bank Exams

0 11826
Q:

Choose the correct alternative that will continue the same pattern and replace 'x' in series 4,9,25,x,121,169,289,361

A) 81 B) 36
C) 64 D) 49
 
Answer & Explanation Answer: D) 49

Explanation:

The given series consists of squares of consecutive prime numbers
2*2, 3*3, 5*5,  . . . . , 11*11, 13*13, 17*17

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Filed Under: Number Series

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Q:

If a - b = 3,  a2+b2=29, find the value of ab.

A) 10 B) 12
C) 15 D) 18
 
Answer & Explanation Answer: A) 10

Explanation:

2ab=a2+b2-a2-b2

 

29-9=20

=>ab=10

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Filed Under: Simplification

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Q:

The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:

A) 0 B) 10
C) 30 D) 60
 
Answer & Explanation Answer: B) 10

Explanation:

Angle traced by hour hand in 133hrs = 36012×13301300 

Angle traced by min. hand in 20 min = 36060×200 =1200 

Required angle = (130 - 120)º = 10º

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

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Q:

A bar graph showing the heights of six mountain peaks. Study the bar graph and answer questions.

The average height of all the peaks (in meters) is

A) 7601.5 B) 7600
C) 7599.5 D) 7610
 
Answer & Explanation Answer: B) 7600

Explanation:
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Filed Under: Bar Charts
Exam Prep: Bank Exams

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Q:

Directions : For the Assertion (A) and Reason (R) below, choose the correct alternative 

Assertion (A)   :   Weeds should not be allowed to grow along with the crops. 

Reason (R)     :    Weeds leave no space for plants to grow. 

A) Both A and R are true and R is the correct explanation of A. B) Both A and R are true but R is NOT the correct explanation of A.
C) A is true but R is false. D) A is false but R is true.
 
Answer & Explanation Answer: C) A is true but R is false.

Explanation:

Weeds should not be allowed to grow along with the crops because they consume the plant nutrients. 

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Filed Under: Assertion and Reason

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Q:

How many alphabets need to be there in a language if one were to make 1 million distinct 3 digit initials using the alphabets of the language?

A) 1000 B) 100
C) 500 D) 999
 
Answer & Explanation Answer: B) 100

Explanation:

1 million distinct 3 digit initials are needed.

 

Let the number of required alphabets in the language be ‘n’.

 

Therefore, using ‘n’ alphabets we can form n * n * n = n3 distinct 3 digit initials.

 

Note distinct initials is different from initials where the digits are different.

 

For instance, AAA and BBB are acceptable combinations in the case of distinct initials while they are not permitted when the digits of the initials need to be different.

 

This n3 different initials = 1 million 

i.e. n3=106  (1 million = 106)

  => n = 102 = 100

 

Hence, the language needs to have a minimum of 100 alphabets to achieve the objective.

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