6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Find the greatest number among ${(2)}^{\frac{1}{3}}, {(3)}^{\frac{1}{2}}, 1, {(5)}^{\frac{1}{6}}$

A) 213	B) 312
C) 1	D) 516

Answer & Explanation Answer: B) 312

Explanation:

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Filed Under: Problems on Numbers
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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:

Arjun and Anurag complete a job in 6 days and 7 days respectively. They worked together and earned a total of Rs. 780. Find Arjun's share in this amount in Rs. ?

A) 490	B) 560
C) 350	D) 420

Answer & Explanation Answer: D) 420

Explanation:

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

What is the value of √[(1 + sinA)/(1 - sinA)]?

A) secA - tanA	B) cosecA + tanA
C) secA + tanA	D) cosecA - tanA

Answer & Explanation Answer: C) secA + tanA

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Points P and Q lie on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of areas of triangle APQ: triangle ABC is 16:25. Then the ratio of AP:PB is?

A) 4:5	B) 1:4
C) 5:1	D) 4:1

Answer & Explanation Answer: D) 4:1

Explanation:

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

If x + 3 ≤ 4x + 4 and 5(4 - x) - 4 ≥ 5x - 2; then

A) 2	B) 3
C) 1	D) -1

Answer & Explanation Answer: C) 1

Explanation:

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Filed Under: Simplification
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Q:

Find the unit digit in the given product ${(4211)}^{102} x {(361)}^{52}$ .

A) 3	B) 1
C) 4	D) 7

Answer & Explanation Answer: B) 1

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Filed Under: Simplification
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Q:

If the amount received at the end of 2nd and 3rd year at Compound Interest on a certain Principal is Rs 33708, and Rs 35730.48 respectively, what is the rate of interest?

A) 6 percent	B) 3 percent
C) 12 percent	D) 10 percent

Quantitative Aptitude - Arithmetic Ability Questions

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