6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If Sinx = 4/5, then ${Sec}^{2} x - 1 =$ ?

A) 16/25	B) 25/9
C) 9/16	D) 16/9

Answer & Explanation Answer: D) 16/9

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The ratio of two positive numbers is 3:4. The sum of their squares is 400. What is the sum of the numbers?

A) 28	B) 22
C) 24	D) 26

Answer & Explanation Answer: A) 28

Explanation:

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

A shopkeeper marks the price of an article at Rs. 320. Find the cost price if after allowing a discount of 10%, he still gains 20% on the cost price.

A) Rs. 240	B) Rs. 280
C) Rs. 300	D) Rs. 264

Answer & Explanation Answer: A) Rs. 240

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

The ratio of present ages of Ratnabali and Shaukat is 8:5. After 22 years the ratio of their ages will be 10:9. At present, what is Ratnabali's age?

A) 5	B) 14
C) 81	D) 8

Answer & Explanation Answer: D) 8

Explanation:

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

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Q:

The vertical angle A of an isosceles triangle ΔABC is three times the angle B of it. The measure of the angle A is

A) 90°	B) 108°
C) 100°	D) 36°

Answer & Explanation Answer: B) 108°

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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Q:

In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statement I: All bins are baskets

Statement II: No buckets are bins

Conclusion I: All baskets are buckets

Conclusion II: All buckets are baskets

A) Only conclusion I follows	B) Only conclusion II follows
C) Both conclusions I and II follow	D) Neither conclusion I nor conclusion II follows

Answer & Explanation Answer: D) Neither conclusion I nor conclusion II follows

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

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Q:

Two students appeared for an examination. One of them secured 26 marks more than the other and his marks were 75% of the sum of their marks. The marks obtained by them are

A) 53 and 27	B) 60 and 34
C) 39 and 13	D) 78 and 52

Answer & Explanation Answer: C) 39 and 13

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Filed Under: Average
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}

Quantitative Aptitude - Arithmetic Ability Questions

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