6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The line passing through (3,4) and (0,3) is perpendicular to the line passing through (5,7) and (4,x). What is the value of x?

A) 4	B) -2
C) 2	D) -4

Answer & Explanation Answer: A) 4

Explanation:

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Filed Under: Area
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Q:

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:5 and area of ΔABC is 98 cm sq, what is the area (in sq cm) of quadrilateral BDEC?

A) 90	B) 98
C) 94	D) 86

Answer & Explanation Answer: A) 90

Explanation:

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Filed Under: Area
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Q:

What is the ratio of radius of incircle and circumcircle for an equilateral triangle with an area of 22√3 sq. units?

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

Answer & Explanation Answer: A) 1/2

Explanation:

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Q:

Which of the following questions is a statistical question?

A) Where do the professional sports leagues play?	B) How many professional sports leagues are there?
C) How many hours do the student-athletes at your school spend each week training for a sports league?	D) How many hours of professional training took place over the weekend?

Answer & Explanation Answer: B) How many professional sports leagues are there?

Explanation:

A statistical question is a question that can be answered by collecting data that vary.

In the given options, How many professional sports leagues are there? is a statistical question. Here to answer this question, we have to collect data from the sources.

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Filed Under: Probability
Exam Prep: Bank Exams

2 1381

Q:

In what ratio does the point T(x,0) divide the segment joining the points S(-4,-1) and U(1,4)?

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

Answer & Explanation Answer: A) 1 : 4

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

0 1381

Q:

Of the 3 numbers whose average is 112, the first is 3/13 times the sum of other 2. The first number is _____.

A) 63	B) 95
C) 42	D) 126

Answer & Explanation Answer: A) 63

Explanation:

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Filed Under: Average
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Q:

$∆ DEF$ is right angled at E. If m∠F = $45^{°}$ , then find the value of (cosecD - 1/√3).

A) (√6-1)/√3	B) (1-√6)/√2
C) √3-2	D) (2-√3)/2√3

Answer & Explanation Answer: A) (√6-1)/√3

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Filed Under: Quantitative Aptitude - Arithmetic Ability
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Q:

A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder.

What is the ratio of the volume of the sphere to that of cone?

A) 6√3:1	B) 7 : 2
C) 3√3:1	D) 5√3:1

Answer & Explanation Answer: A) 6√3:1

Explanation:

The top view of the given assembly will look like the figure above

Outermost is the sphere. Inside that there is a cube and within that there is a cone and cylinder with same radius.

Here side of cube = a

Diameter of Sphere = body diagnol = √3 a

Radius of sphere = √3 a/2 =r1

Height of Cylinder = Height of cone = side of cube = a =h

Radius of cylinder = Radius of cone = side of cube/2 = a/2 =r2(as shown in the figure)

Volume of sphere/volume of cone =

\frac{\frac{4}{3} {πr}_{1}^{3}}{\frac{1}{3} {πr}_{2}^{2} h}

Quantitative Aptitude - Arithmetic Ability Questions

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