6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

K is 5 years older to H. H is 3 years younger to R. R is 6 years older to C. C is 7 years younger to L. Who is the eldest?

A) H	B) K
C) R	D) L

Answer & Explanation Answer: B) K

Explanation:

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Filed Under: Problems on Ages
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:

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}

= 6√3:1

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

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Q:

The total surface area of a hemisphere is 462 sq cm, what is its curved surface area? (Take π = 22/7)

A) 616 sq cms	B) 154 sq cms
C) 308 sq cms	D) 462 sq cms

Answer & Explanation Answer: C) 308 sq cms

Explanation:

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

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Q:

If $x = 2 + \sqrt{3},$ then what is the value of $\sqrt{2 x} + \frac{1}{\sqrt{2 x}} ?$

A) 23	B) 33
C) (33+1)/2	D) 1

Answer & Explanation Answer: C) (33+1)/2

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

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Q:

P and Q together can make a door in 12 days. They started the work together but after 8 days P left the work. The remaining work is completed by Q alone in 7 more days. In how many days can P alone complete the entire work?

A) 21	B) 24
C) 28	D) 32

Answer & Explanation Answer: C) 28

Explanation:

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Filed Under: Time and Work
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

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

30% of a number exceeds 25% of the same number by 27. What is the value of the number?

A) 540	B) 270
C) 108	D) 90

Quantitative Aptitude - Arithmetic Ability Questions

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