6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In the following question, select the odd word from the given alternatives.

A) Sun	B) Mercury
C) Mars	D) Venus

Answer & Explanation Answer: A) Sun

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

A, B and C are employed to complete a work in Rs. 784. If A and B together complete 23/28 of the work. Calculate the wages (in Rs.) paid to C?

A) 280	B) 140
C) 70	D) 56

Answer & Explanation Answer: B) 140

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Filed Under: Time and Work
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 base of a prism is in the shape of an equilateral triangle. If the perimeter of the base is 18 cm and the height of the prism is 20 cm, then what is the volume (in cm3) of the prism?

A) 60√3	B) 30√6
C) 60√2	D) not know

Answer & Explanation Answer: D) not know

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

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Q:

The ratio of the present ages of Reena and her husband is 4 : 5. 8 years from now, ages of her husband and her son will be in the ratio 24 : 9. If the present age of Reena is 32 years, then what will be her son’s present age (in years)?

A) 12	B) 15
C) 10	D) 8

Answer & Explanation Answer: C) 10

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

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Q:

If tanθ + cotθ = 5, then the value of $\tan^{2} θ + \cot^{2} θ is$

A) 22	B) 23
C) 24	D) 25

Answer & Explanation Answer: B) 23

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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Q:

Which of the following is correct?

A) (6x + y)(x - 6y) = 6x^2+ 35xy - 6y^2	B) (6x + y)(x - 6y) = 6x^2- 35xy - 6y^2
C) (6x + y)(x - 6y) = 6x^2- 37xy - 6y^2	D) (6x + y)(x - 6y) = 6x^2+ 37xy - 6y^2

Answer & Explanation Answer: B) (6x + y)(x - 6y) = 6x^2- 35xy - 6y^2

Explanation:

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

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Q:

A satellite airtime bill costs Rs. 8 for 5 minutes 40 seconds. What is the cost in rupees for 4 minutes 20 seconds? (Round upto one decimal).

A) 6.1	B) 6
C) 6.2	D) 6.3

Quantitative Aptitude - Arithmetic Ability Questions

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