6500+ Quantitative Aptitude Questions and Answers With Explanation

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

Explanation:

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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 right circular cylinder is partially filled with water. Two iron spherical balls are completely immersed in the water so that the height of the water in the cylinder rises by 4 cm. If the radius of one ball is half of the other and the diameter of the cylinder is 18 cm, then the radii of the spherical balls are

A) 6 cm and 12 cm	B) 4 cm and 8 cm
C) 3 cm and 6 cm	D) 2 cm and 4 cm

Answer & Explanation Answer: C) 3 cm and 6 cm

Explanation:

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

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Q:

Convert decimal number 101 to binary.

A) 1100101	B) 1100111
C) 1101001	D) 1101011

Answer & Explanation Answer: A) 1100101

Explanation:

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Filed Under: Problems on Numbers
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

Answer & Explanation Answer: B) 800 metres

Explanation:

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

A, B and C can do a job working alone in 12, 16 and 24 days respectively. In how many days they can do the job if they worked together?

A) 16/3	B) 15/4
C) 17/3	D) 19/4

Answer & Explanation Answer: A) 16/3

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

What is the value of (cot60 + 1/√3) ?

A) 4/√3	B) (2√2+√3)/2
C) 2/√3	D) (2√2+1)/√2

Answer & Explanation Answer: C) 2/√3

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams , CAT

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Q:

Find the value of $\sin^{2} 30 \cos^{2} 45 + 4 \tan^{2} 30 + (1 / 2) \sin^{2} 90 - 2 \cos^{2} 90 + (1 / 24)$

A) 3	B) 4
C) 2	D) 1

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