6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Find the appropriate relation for quantity1 and quantity2 in the following question:

Quantity 1: In an examination, Ankita scored 35 marks less than Puneeta. Puneeta scored 65 more marks than Meenakshi. Rakhi scored 115 marks, which is 20 marks more than Meenakshi's. Simpy scored 108 marks less than the maximum marks of the test. What approximate percentage of marks did Simpy score in the examination, if she got 67 marks more than Ankita?

Quantity 2: The length of a rectangle is increased by 60%. By what percent would the width have to be decreased to maintain the same area?

A) Quantity1 < Quantity2	B) Quantity1 ≤ Quantity2
C) Quantity1 ≥ Quantity2	D) Quantity1 > Quantity2

Answer & Explanation Answer: D) Quantity1 > Quantity2

Explanation:

Quantity1-
Rakhi’s marks= 115
Meenakshi’s marks= 115 - 20 = 95
Puneeta’s marks= 95 + 65= 160
Ankita’s marks=160 - 35= 125
Simpy’s marks= 125+ 67= 192
Total maximum marks= 192 + 108= 300
Required percentage marks of Simpy
= $\frac{192}{300} \times 100 = 64 %$
Quantity2-
Let length and breadth be 100.

After increase in length it become 160, then
reduction in breadth be ‘x’
Now, 160*x= 100*100
Hence, x = $\frac{10000}{160} = 62.5$

100-62.5=37.5%

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Filed Under: Quantitative Aptitude - Arithmetic Ability
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2 19941

Q:

The breadth of a rectangular field is 60% of its length. If the perimeter of the field is 800 m.What is the area of the field?

A) 47500	B) 37500
C) 57500	D) 77500

Answer & Explanation Answer: B) 37500

Explanation:

Let length = x meters, then breadth = 0.6x

Given that perimeter = 800 meters

=> 2[ x + 0.6x] = 800

=> x = 250 m

Length = 250m and breadth = 0.6 x 250 = 150m

Area = 250 x 150 = 37500 sq.m

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Filed Under: Area
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19 19939

Q:

The ratio of male and female in a city is 7 : 8 respectively and percentage of children among male and female is 25 and 20 respectively. If number of adult females is 156800, what is the total population of the city?

A) 4,12,480	B) 3,67,500
C) 5,44,700	D) 2,98,948

Answer & Explanation Answer: B) 3,67,500

Explanation:

Let the total population be 'p'

Given ratio of male and female in a city is 7 : 8

In that percentage of children among male and female is 25% and 20%

=> Adults male and female % = 75% & 80%

But given adult females is = 156800

=> 80%(8p/15) = 156800

=> 80 x 8p/15 x 100 = 156800

=> p = 156800 x 15 x 100/80 x 8

=> p = 367500

Therefore, the total population of the city = p = 367500

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Filed Under: Ratios and Proportions
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75 19886

Q:

A sequence $a, ax, {ax}^{2}, . . . . . ., {ax}^{n}$ , has odd number of terms. Then the median is

A) axn2+1	B) axn2-1
C) axn-1	D) axn2

Answer & Explanation Answer: D) axn2

Explanation:

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Filed Under: Probability
Exam Prep: Bank Exams

7 19856

Q:

What value should come in place of the question mark (?) in the following question?

${(?)}^{2} % of 650 = {(20)}^{2} + 4^{2}$

A) 8	B) 64
C) 8	D) 642

Answer & Explanation Answer: A) 8

Explanation:

$?^{2} = \frac{400 + 16}{650} x 100 ? = 8$

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

0 19836

Q:

A man can row 9 km/h in still water. It takes him twice as long as to row down. Find the rate of stream of the river ?

Answer

$\inline \frac{Time\: taken\: in\: upstream}{Time\: taken\: in\: downstream}$ = $\inline \frac{2}{1}$

$\inline \therefore$ $\inline \frac{Downstream\: speed}{upstream\: speed}$ = $\inline \frac{2}{1}$ where $\inline \frac{B+R}{B-R}=\frac{2}{1}$

B ---> speed of boat in still water

R---->speed of current

$\inline \Rightarrow \frac{B}{R}=\frac{3}{1}$ ( By componendo and dividendo)

$\inline \Rightarrow \frac{9}{R}=\frac{3}{1}\: \: \Rightarrow R= 3\: km/h$

Workspace

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Subject: Boats and Streams

113 19812

Q:

The ratios of areas of two squares, one having its diagonal double than the other is

A) 2:1	B) 2:3
C) 3:1	D) 4:1

Answer & Explanation Answer: D) 4:1

Explanation:

ratio = $\frac{(1 / 2) \times {(2 d)}^{2}}{\frac{1}{2} d^{2}} = 4 : 1$

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Filed Under: Area
Exam Prep: Bank Exams
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49 19749

Q:

How many window coverings are necessary to span 50 windows, if each window covering is 15 windows long?

A) 4	B) 15
C) 3	D) 50

Answer & Explanation Answer: A) 4

Explanation:

Given that,

Number of windows = 50

Each window covering covers 15 windows

=> 50 windows requires 50/15 window coverings

= 50/15 = 3.333

Hence, more than 3 window coverings are required. In the options 4 is more than 3.

Hence, 4 window coverings are required to cover 50 windows of each covering covers 15 windows.

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Filed Under: Average
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Quantitative Aptitude - Arithmetic Ability Questions

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