6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In triangle ABC, a line is drawn from the vertex A to a point D on BC. If BC = 9 cm and DC = 3 cm, then what is the ratio of the areas of triangle ABD and triangle ADC respectively?

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

Answer & Explanation Answer: B) 2 : 1

Explanation:

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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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 cube to that of the cylinder ?

A) 4 : 3	B) 21 : 16
C) 14 : 11	D) 45 : 32

Answer & Explanation Answer: C) 14 : 11

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)

\frac{Vcube}{Vcylinder} = \frac{a^{3}}{{πr}_{2}^{2} h} = 14 / 11

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

Point P (8 , 5) is the midpoint of segment AB. Co-ordinates of A are (5, y) and B are (x, -3). What is the value of x?

A) -11	B) 11
C) 7	D) -7

Answer & Explanation Answer: B) 11

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

The average revenues of 9 consecutive years of a company is Rs 65 lakhs. If the average of first 5 years is Rs 60 lakhs and that of last 5 years is Rs 72 lakhs, find the revenue for the 5th year.

A) Rs 77 lakhs	B) Rs 75 lakhs
C) Rs 73 lakhs	D) Rs 71 lakhs

Answer & Explanation Answer: B) Rs 75 lakhs

Explanation:

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

A can do a piece of work in 8 days and B can do it in 10 days seperately. How many days would it take for both A and B to finish the same work together?

A) 33/8	B) 40/9
C) 41/10	D) 42/11

Answer & Explanation Answer: B) 40/9

Explanation:

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

If √[(1 - cosA)/2] = x, then the value of x is

A) cos(A/2)	B) tan(A/2)
C) sin(A/2)	D) cot(A/2)

Answer & Explanation Answer: C) sin(A/2)

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Reflection of the point (4,-5) in the y-axis is

A) (4,5)	B) (-4,-5)
C) (4,-5)	D) (-4,5)

Answer & Explanation Answer: B) (-4,-5)

Explanation:

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Q:

The 2nd and 8th term of an arithmetic progression are 17 and -1 respectively. What is the 14th term?

A) -22	B) -25
C) -19	D) -28

Quantitative Aptitude - Arithmetic Ability Questions

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