6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If secA + tanA = x, then find the value of x.

A) √[(1 - sinA)/(1 + sinA)]	B) (1 + sinA)/(1 - sinA)
C) (1 - sinA)/(1 + sinA)	D) √[(1 + sinA)/(1 - sinA)]

Answer & Explanation Answer: D) √[(1 + sinA)/(1 - sinA)]

Explanation:

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Filed Under: Simplification
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Q:

If 7/8th of 5/4th of a number is 315, then 5/9th of that number is _____

A) 123	B) 81
C) 140	D) 160

Answer & Explanation Answer: D) 160

Explanation:

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Filed Under: Percentage
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Q:

The HCF of 24, 60 and 90 is:

A) 3	B) 6
C) 12	D) 4

Answer & Explanation Answer: B) 6

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Filed Under: HCF and LCM
Exam Prep: Bank Exams

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Q:

If $M = 0.1 + {(0.1)}^{2} + {(0.01)}^{2} and N = 0.3 + {(0.03)}^{2} + {(0.003)}^{2}$ , then what is the value of M + N?

A) 0.411009	B) 0.413131
C) 0.313131	D) 0.131313

Answer & Explanation Answer: A) 0.411009

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Q:

What is the total number of points in the plane of triangle ABC which is equidistant from the vertices of the triangle?

A) 0	B) 1
C) 2	D) 3

Answer & Explanation Answer: B) 1

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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 9,600 and Rs 10,272 respectively, what is the rate of interest (in %)?

A) 7	B) 8
C) 6	D) 5

Answer & Explanation Answer: A) 7

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Filed Under: Compound Interest
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:

A thief is stopped by a policeman from a distance of 200 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed
of the thief as 8 km/hr and that of police man as 10 km/hr. How far the thief would have run, before he is over taken?

A) 640 metres	B) 800 metres
C) 960 metres	D) 480 metres

Quantitative Aptitude - Arithmetic Ability Questions

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