Quantitative Aptitude - Arithmetic Ability Questions

Q:

If length of a rectangle is decreased by 6 cm we get a square and the area of square formed is 252 cm2 less than the area of square formed when breadth of the original rectangle is increased by 6 cm. Find the perimeter of the rectangle.

A) 66 cm B) 88 cm
C) 80 cm D) 72 cm
 
Answer & Explanation Answer:

Explanation:

Let length and breadth of rectangle be L cm
and B cm respectively So, ATQ
Area1= (L-6)×B
But this is square, so L-6=B
Area1= (L-6) × (L-6)
Case 2, Area2= L × (B+6),
L=B+6
So, Area2= L × L,
Given, Area2-Area1= 252(L)2-(L-6)2=252
Solving this, L= 24
B= 18
Perimeter= 2(L+B)= 2(24+18)= 84 cm

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3 3518
Q:

A clock gains 15 minutes per day. If it is set right at 12 noon, the time it shows at 4 AM is

A)  4.20 AM B)  4.30 AM
C) 4.02 AM D) 4.10 AM
 
Answer & Explanation Answer: D) 4.10 AM

Explanation:
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Filed Under: Clocks
Exam Prep: Bank Exams

16 3514
Q:

For a nominal interest rate of 8.4%, what is the compounding frequency if the periodic interest rate is 8.4

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: A) 1

Explanation:

m=j/i

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

0 3511
Q:

3 pipes when opened for 3 hours can fill 3 buckets. How many buckets can 2 pipes open for 2 hours approximately fill?

A) 2/3 buckets B) 2 buckets
C) 1 bucket D) 4/3 bucket
 
Answer & Explanation Answer: D) 4/3 bucket

Explanation:

2 pipes open for 2 hours will fill = (2/3) x (2/3) x 3 = 4/3 buckets

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Filed Under: Pipes and Cistern

9 3511
Q:

A person sold his pen for Rs 24 and his profit percentage was numerically equal to the cost price. What was the cost price (in Rs) of the pen?

A) 12 B) 14
C) 16 D) 20
 
Answer & Explanation Answer: D) 20

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

6 3509
Q:

For a nominal interest rate of 8.4%, what is the compounding frequency if the periodic interest rate is:2.1

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: D) 4

Explanation:

i=j/m

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

0 3503
Q:

Sum of two numbers is 44. One number is 3 times as large as the other. What are the numbers?

A) 11 and 4 B) 3 and 11
C) 11 and 33 D) 40 and 4
 
Answer & Explanation Answer: C) 11 and 33

Explanation:

Let the smaller number be 'm'

Then, from the given data, the larger number is '3m'

Given that m + 3m = 44

=> 4m = 44

m = 44/4 = 11

=> m = 11

=> 3m = 3 x 11 = 33

 

Hence, the two numbers are 11 and 33.

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Filed Under: Problems on Numbers
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

9 3501
Q:

If x varies as y and x = 8 when y = 15 then the value of x when y = 10 is:

A) 5 B) 15/8
C) 8/15 D) 16/3
 
Answer & Explanation Answer: D) 16/3

Explanation:

x : y = 8 : 15
If y = 10, x = 8/15 X 10
y = 16/3

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Filed Under: Simplification
Exam Prep: Bank Exams

2 3500