Aptitude and Reasoning Questions

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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Q:

First day of the month is Tuesday and Last day of the same month is Monday. Then which one will be that month ?

A) January B) February
C) March D) August
 
Answer & Explanation Answer: B) February

Explanation:

We know that the day repeats after every seven days. 

Given that first day of the month is Tuesday

i.e    1st - Tuesday

1+7 = 8 - Tuesday

8+7 =15- Tuesday

15+7=22-Tuesday

22+7=29-Tuesday

But given that last day of the same month is Monday

It is possible only in he month of Febuary with 28 days.

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Filed Under: Data Sufficiency
Exam Prep: Bank Exams
Job Role: Bank PO

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Q:

If a2+b2 = c2 , then 1logc+ab + 1logc-ab = ?

A) 1 B) 2
C) 4 D) 8
 
Answer & Explanation Answer: B) 2

Explanation:

Given a2 + b2 = c2

 

Now  1logc+ab  + 1logc-ab 

 

logbc+a + logbc-a

 

logbc2-a2

2logbb = 2

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Filed Under: Logarithms
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

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Q:

Refer the below data table and answer the following question.

What is the average bonus in Rs. ?

A) 4360005 B) 280000
C) 290667 D) 140000
 
Answer & Explanation Answer: C) 290667

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

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Q:

A man invested Rs. 14,400 in Rs. 100 shares of a company at 20% premium. If his company declares 5% dividend at the end of the year, then how much does he get?

A) Rs.500 B) Rs.600
C) Rs.650 D) Rs.720
 
Answer & Explanation Answer: B) Rs.600

Explanation:

Number of shares = 14400120=120.

 

Face value = Rs.(100 x 120) = Rs.12000.

 

Annual income = Rs (5/100*12000) = Rs. 600

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Filed Under: Stocks and Shares

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Q:

The total percentage of illiterates in all the four cities is ___ (round to one decimal place).

 

 

 

A) 44.5 B) 44.3
C) 44.2 D) 44.1  
 
Answer & Explanation Answer: C) 44.2

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

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Q:

Refer the below data table and answer the following question.

What was the total profit or loss of the company in the last 5 years?

 

A) Loss of Rs 15 crores B) Loss of Rs 5 crores
C) Profit of Rs 5 crores D) Profit of Rs 15 crores
 
Answer & Explanation Answer: B) Loss of Rs 5 crores

Explanation:
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Filed Under: Table 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) : Inside the earth metals are present in molten state. 

Reason (R)   : Earth absorbs the sun's rays. 

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:

Inside the earth, the high temperature and pressure keeps the metals in molten state. The earth does not absorb the sun's rays but reflects them. 

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Filed Under: Assertion and Reason

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