6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

An exhibition was conducted for 4 weeks. The number of tickets sold in 2nd workweek was increased by 20% and increased by 16% in the 3rd workweek but decreased by 20% in the 4th workweek. Find the number of tickets sold in the beginning, if 1392 tickets were sold in the last week ?

A) 1124	B) 1420
C) 1345	D) 1250

Answer & Explanation Answer: D) 1250

Explanation:

Let initially 'X' ticket has been sold.
So now in 2nd week 20% increases, so
=> X x 120/100
In 3rd week 16% increases, so
=> X x (120/100) x (116/100)
In 4th week 20% decrease, so
=> X x (120/100) x (116/100) x (80/100) = 1392
X = 1250.

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

6 13207

Q:

When 52416 divided by 312 , the quotient is 168. What will be the quotient when 52.416 is divided by 0.0168 ?

A) 3120	B) 32.10
C) 321.0	D) 3.120

Answer & Explanation Answer: A) 3120

Explanation:

Given, 52416 / 312 = 168.

<=> 52416 / 168 = 312.

52.416 / 0.0168 = 524160 / 168 = 3120.

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Filed Under: Decimal Fractions

7 13200

Q:

There are 100 students in 3 sections A, B and C of a class. The average marks of all the three sections was 84. The average of B and C was 87.5 and the average marks of students in A section was :

A) 20	B) 35
C) 54	D) 40

Answer & Explanation Answer: A) 20

Explanation:

Numbers of students in section A = x
∴ Numbers of students in section B and C = (100 – x)
∴ x 70 + (100 – x) 87.5 = 84 100
=> 70x + 87.5 100 – 87.5x = 8400
=> 8750 – 17.5x = 8400
=> 17.5x = 8750 – 8400 => x = 20.

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

26 13178

Q:

What should come in place of x in the following equation?

$\frac{x}{\sqrt{128}} = \frac{\sqrt{162}}{x}$

A) 13	B) 12
C) 17	D) 16

Answer & Explanation Answer: B) 12

Explanation:

$\frac{x}{\sqrt{128}} = \frac{\sqrt{162}}{x}$

Then x² = $\sqrt{162} x \sqrt{128}$

= Sqrt of 8² x 6² x 3²

= 8 x 6 x 3

x² = 144.

x = 12.

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Filed Under: Square Roots and Cube Roots
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

8 13166

Q:

A son and father goes for boating in river upstream . After rowing for 1 mile son notices the hat of his father falling in the river. After 5 min he tells his father that his hat has fallen. So they turn round and are able to pick the hat at the point from where they began boating after 5min. Find the speed of river in miles/hours ?

A) 4 mile/hr	B) 6 mile/hr
C) 2 mile/hr	D) 5 mile/hr

Answer & Explanation Answer: B) 6 mile/hr

Explanation:

Let the speed of river and boat be 'r' m/min and 'b' m/min.
so relative speed in upstream (b-r)m/min and in downstream (b+r)m/min.
Now in upstream distnce covered in 5 min is 5(b-r)miles
so total distnce covered => 1 + 5(b-r)miles in upstream
In downstream distance covered in 5min is 5(b+r)miles
Now 1 + 5(b-r) = 5(b+r)
1+5b-5r = 5b+5r
1 = 10r
r = 1/10 mile/min => 6 mile/hr.

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Filed Under: Time and Distance
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Job Role: Bank Clerk

15 13165

Q:

The length of the rectangle is 20% more than its breadth . what will be the ratio of the area of the rectangle to that of the square whose side is equal to the breadth of the rectangle?

A) 2:1	B) 5:6
C) 6:5	D) data is inadequate

Answer & Explanation Answer: C) 6:5

Explanation:

Required ratio = $\frac{6 x}{5} \times x \times (\frac{1}{x^{2}}) = 6 : 5$

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

7 13165

Q:

What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?

A) 1:3	B) 1:4
C) 2:3	D) data is inadequate

Answer & Explanation Answer: C) 2:3

Explanation:

Let the principal be P and rate of interest be R%.

Required ratio = $[(\frac{\frac{P * R * 6}{100}}{\frac{P * R * 9}{100}})] = \frac{6 P R}{9 P R} = \frac{6}{9} = \frac{2}{3}$

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Filed Under: Simple Interest
Exam Prep: GRE

14 13149

Q:

Water flows into a tank 200 m x 160 m through a rectangular pipe of 1.5m x 1.25 m @ 20 kmph . In what time (in minutes) will the water rise by 2 meters?

A) 92min	B) 93min
C) 95min	D) 96min

Answer & Explanation Answer: D) 96min

Explanation:

Volume required in the tank = (200 x 150 x 2) cu.m = 60000 cu.m

Length of water column flown in1 min =(20 x 1000)/60 m =1000/3 m

Volume flown per minute = 1.5 x 1.25 x (1000/3) cu.m= 625 cu.m.

Required time = (60000/625)min = 96min

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Filed Under: Volume and Surface Area

12 13149

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