Quantitative Aptitude - Arithmetic Ability Questions

Q:

A slice from a circular pizza of diameter 14 inches is cut in asuch a way that each slice of pizza has a central angle of 45°. What is the area of each slice of Pizza(in square inches)?

A) 16.25 B) 19.25
C) 18.25 D) 17.25
 
Answer & Explanation Answer: B) 19.25

Explanation:

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Filed Under: Area

2 3590
Q:

A plane is going in circles around an airport. The plane takes 3 minutes to complete one round. The angle of elevation of the plane from a point P on the ground at time t seconds is equal to that at time (t + 30) seconds. At time (t + x) seconds, the plane flies vertically above the point P. What is x equal to?

A) 75 seconds B) 90 seconds
C) 105 seconds D) 135 seconds
 
Answer & Explanation Answer: C) 105 seconds

Explanation:
Let the plane be at point A at t se
conds and at point B
after t + 30 seconds
Since the motion is uniform, we can say that at time t+15 seconds, the plane is above the point is
diametrically opposite to the point P from where the angle is same.
Now since the time taken to cover the full circ
le is 3 minutes (180
seconds), the time taken by the plane
to reach the diametrically opposite point will be 90 seconds.
So the time after which the plane reaches the point P will be = t+ 15 + 90 seconds = (t + 105 )seconds
 
 
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Filed Under: Time and Distance
Exam Prep: Bank Exams

3 3589
Q:

After replacing an old member by a new member, it was found that the average age of five members of a club is the same as it was 3 years ago. The difference between the ages of the replaced and the new members?

A) 16 years B) 15 years
C) 14 years D) 13 years
 
Answer & Explanation Answer: B) 15 years

Explanation:

Let avg ages of 5 members at present is G

And age of new member is m and an older is n

Required = (5G + m - n)/5 = G - 3

m - n = 15 years

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

16 3587
Q:

On which dates of December, 2018 will be Wednesdays?

A) 4, 11, 18 & 25 B) 5, 12, 19 & 26
C) 3,10, 17 & 24 D) 6, 13, 20 & 27
 
Answer & Explanation Answer: B) 5, 12, 19 & 26

Explanation:
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Filed Under: Calendar
Exam Prep: Bank Exams

16 3581
Q:

A man's annual income has increased by Rs 1.2 lakhs but the tax on income that he has to pay has reduced from 12% to 10%. He now pays the same amount of tax as before. What is his increased income (in Rs lakhs)?

A) 8.4 B) 7.2
C) 9.6 D)  6
 
Answer & Explanation Answer: B) 7.2

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

9 3580
Q:

Calculate the effective interest rate of a 10% annual rate compounded continuously.

A) 9.52% B) 10.52%
C) 11.52% D) 12.52%
 
Answer & Explanation Answer: B) 10.52%

Explanation:

E=e^i-1

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

0 3579
Q:

Calculate the effective interest rate compounded quarterly of a 13% annual rate.

A) 13.65% B) 14.665%
C) 15.65% D) 16.65%
 
Answer & Explanation Answer: A) 13.65%

Explanation:

E=(1+i/n)^n-1

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

0 3578
Q:

In a bag, there are 8 red, 7 blue and 6 green flowers. One of the flower is picked up randomly. What is the probability that it is neither red nor green ?

A) 13

B)821

C)621

D)2021

A) Option A B) Option B
C) Option C D) Option D
 
Answer & Explanation Answer: A) Option A

Explanation:

Total number of flowers = (8+7+6) = 21.

 

Let E = event that the flower drawn is neither red nor green. 

= event taht the flower drawn is blue. 

 

--> n(E)= 7 

--> P(E)=  721=13 

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

8 3576