Quantitative Aptitude - Arithmetic Ability Questions

Q:

The area of a square is 60.5 cm². Find the length of its diagonal (in cm).

 

A) 5.5 B) 22
C) 11 D) 16.5
 
Answer & Explanation Answer: C) 11

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 32630
Q:

The difference between the simple interest on a certain sum at the rate of 10%per annum for 2 years and compound interest which is compounded every 6 months is Rs.124.05. what is the principal sum

A) Rs.6000 B) Rs.8000
C) Rs.12000 D) none of these
 
Answer & Explanation Answer: B) Rs.8000

Explanation:

Compound Interest on P at 10% for 2 years when interest is compounded half-yearly

 

=P1+R21002T-P=P1+1204-P=P21204-P

 

Simple Interest on P at 10% for 2 years = PRT100=P×10×2100=P5

 

Given that difference between compound interest and simple interest = 124.05

 P*21204-P-P5=124.05

 

=>P21204-1-15=124.05

 P=8000

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

61 32610
Q:

A can run 22.5 m while B runs 25 m. In a kilometre race B beats A by:

A) 100 m B) 75 m
C) 25 m D) 50m
 
Answer & Explanation Answer: A) 100 m

Explanation:

When B runs 25 m, A runs 45/2 m

 

When B runs 1000 m, A runs (45/2*1/25*1000)m = 900 m.

 

B beats A by 100 m.

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Filed Under: Races and Games

44 32572
Q:

If 15% of x = 20% of y, then x:y is  ___?

A) 4:3 B) 5:4
C) 4:5 D) 3:4
 
Answer & Explanation Answer: A) 4:3

Explanation:

Given 15% of x = 20% of y

=> 15x = 20y

=> x/y = 20/15

=> x : y = 4 : 3

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

77 32554
Q:

A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30º with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60º. What is the distance between the base of the tower and the point P?

A) Data inadequate B) 8 units
C) 12 units D) None of these
 
Answer & Explanation Answer: A) Data inadequate

Explanation:

One of AB, AD and CD must have given.

So, the data is inadequate.

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Filed Under: Height and Distance

25 32500
Q:

The circumference of a circle is 66 cm. Find its radius (in cm).

 

A) 21 B) 10.5
C) 4.5 D) 9
 
Answer & Explanation Answer: B) 10.5

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

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Q:

At what rate of compound interest per annum will a sum of rs.1200 becomes rs.1348.32 in 2 years

A) 66%% B) 6.5%
C) 7% D) 7.5%
 
Answer & Explanation Answer: A) 66%%

Explanation:

rate=r%

1200 (1+r/100)^2=1348.32

r=6%

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Filed Under: Simple Interest
Exam Prep: GRE
Job Role: Analyst

42 32417
Q:

If 1.5x = 0.04y, then the value of ( (y - x) / (y+x) ) is :

A) 73/77 B) 7.3/77
C) 730/77 D) 7300/77
 
Answer & Explanation Answer: A) 73/77

Explanation:

x / y  = 0.04 / 1.5 = 4 / 150 = 2 / 75.

= > ( (y - x) / (y+x) ) = (1 - (x / y)) / ( 1 + ( x / y)) = (1 - 2/75) / (1 + 2/75) = 73/77...

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Filed Under: Decimal Fractions

83 32285