6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

An equilateral triangle of area 300 cm2 is cut from its three vertices to form a regular hexagon. Area of hexagon is what percent of the area of triangle?

A) 66.66%	B) 33.33%
C) 83.33%	D) 56.41%

Answer & Explanation Answer: A) 66.66%

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:

Praneet started his journey at 2:45:46 p.m. and reached the destination at 4:55:57 p.m. Anit started the journey 58 mins 40 secs after Praneet and reached his destination 50 mins 29 secs after him. How long did Anit take to complete his journey?

A) 2 hours 2 seconds	B) 2 hours 2 minutes
C) 1 hour 59 minutes	D) 2 hours 1 minute 12 seconds

Answer & Explanation Answer: D) 2 hours 1 minute 12 seconds

Explanation:

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Filed Under: Time and Distance
Exam Prep: Bank Exams , CAT

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Q:

A tap can fill a tank in 50 minutes. If the tank has a leakage which alone is capable of emptying the tank in 2.5 hours, the tank will now be filled in

A) 1 hour	B) 1 hour 15 minutes
C) 1 hour 25 minutes	D) 1 hour 30 minutes

Answer & Explanation Answer: B) 1 hour 15 minutes

Explanation:

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Filed Under: Pipes and Cistern
Exam Prep: Bank Exams

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Q:

Select the odd letters from the given alternatives.

A) GHI	B) XYZ
C) VUT	D) CDE

Answer & Explanation Answer: C) VUT

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

Select the odd word/letters/number/number pair from the given alternatives.

A) 27	B) 125
C) 8	D) 729

Answer & Explanation Answer: C) 8

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

Akash's monthly income is Rs. 9600. His monthly expenditure is 60% of his income. What is his saving per month?

A) Rs. 3840	B) Rs. 3870
C) Rs. 3940	D) Rs. 3850

Answer & Explanation Answer: A) Rs. 3840

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

An angle is four times its complementary angle. What is the measure of the angle?

A) 72°	B) 108°
C) 54°	D) 36°

Quantitative Aptitude - Arithmetic Ability Questions

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