Aptitude and Reasoning Questions

Q:

Which is a better offer out of (i) a cash payment now of Rs.8100 or (ii) a credit of Rs.8250 after 6 months(6.5% S.I)

A) (i) B) (ii)
C) both (i) and (ii) D) none
 
Answer & Explanation Answer: A) (i)

Explanation:

PW = 100×Amount100+R×T

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Filed Under: True Discount
Exam Prep: Bank Exams
Job Role: Bank PO

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Q:

Find by how much percentage the average of first 10 odd numbers (starting from 1) is greater than the last term ?

A) 991/16 % B) 900/19 %
C) 874/13 % D) 719/17 %
 
Answer & Explanation Answer: B) 900/19 %

Explanation:

First ten odd numbers form an arithmetic progression of the form
1,3,5,7,9......
here a = first term = 1
d = common difference = 2
Average of first n numbers = (2a + (n - 1)d)/2
n th term of the AP = a + (n - 1)d
Substituting a = 1, d = 2 and n = 10 in the above formulas
average of first 10 numbers = 10
10 th term of the AP = 19
Therefore average of first 10 terms is 19 - 10 = 9 greater than
the last term. Hence the average is greater than the sum by
9/19 X 100 = 900/19 %

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

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Q:

Statements followed by some conclusions are given below.

 

Statements :

 

1. X is 7 meters tall, Y is half as high and Z is 3 times the height of X.

2. P is taller than Z but shorter than A and B.

 

Conclusions :

 

I. B s the tallest of all.

II. The average height of X, Y and Z is less than 10 meters.

 

Find which of the given conclusions logically follows from the given statements.

 

A) Only conclusion I follows B) Only conclusion II follows
C) Both I and II follow D) Neither I nor II follows
 
Answer & Explanation Answer: D) Neither I nor II follows

Explanation:
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Filed Under: Statement and Conclusions
Exam Prep: Bank Exams

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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
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

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Q:

Looking for a job is difficult enough, the task becomes impossible if you do not have the skill of being pleasant, polite and polished.

Conclusions :

I. A person who has social etiquetteis eligible for any job

II. Many candidates no matter how excellently  qualified are likely to fail to get the jobs they are going to try for because of their manners.

A) If only conclusion I follows B) If only conclusion II follows
C) If neither I nor II follows D) If both I and II follow
 
Answer & Explanation Answer: B) If only conclusion II follows

Explanation:

I does not follow because it considers the qualities expressed in the statement sufficient for the eligibility of a job. II follows obviously.

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Q:

The length of a diagonal in cm of a rectangle of length 9 cm and width 5 cm is

 

A) 106 B) ±106
C) 2√14 D) ±214
 
Answer & Explanation Answer: A) 106

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

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Q:

The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 9000, brokerage being 1/4%, is:

A) 108.25 B) 112.20
C) 124.75 D) 125.25
 
Answer & Explanation Answer: C) 124.75

Explanation:

For an income of Rs. 756, investment = Rs. 9000. 

 

For an income of Rs.212,  investment =Rs.9000756×212 = Rs. 125.

 

For a Rs. 100 stock, investment = Rs. 125.

 

Market value of Rs. 100 stock = Rs.125-14= Rs. 124.75

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Filed Under: Stocks and Shares

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Q:

An amount of 5,000 is invested at a fixed rate of 8 per cent per annum. What amount will be the value of the investment in five years time, if the interest is compounded every six months?

A) 7401.22 B) 3456
C) 4567 D) 7890
 
Answer & Explanation Answer: A) 7401.22

Explanation:

With slight modifications, the basic formula can be made to deal with compounding at intervals other than annually.

 

Since the compounding is done at six-monthly intervals, 4 per cent (half of 8 per cent) will be added to the value on each occasion.

 

Hence we use r = 0.04. Further, there will be ten additions of interest during the five years, and so n = 10. The formula now gives:

 

V = P(1 + r)10 = 5,000 x (1.04)10 = 7,401.22

 

Thus the value in this instance will be £7,401.22.

 

In a case such as this, the 8 per cent is called a nominal annual

 

rate, and we are actually referring to 4 per cent per six months.

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Filed Under: Simple Interest
Exam Prep: Bank Exams
Job Role: Bank PO

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