6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Rs. x invested at 8% simple interest per annum for 5 years yields the same interest as that on Rs. y invested at 7.5% simple interest per annum for 6years. Find x : y.

A) 40:45	B) 5:6
C) 16:15	D) 9:8

Answer & Explanation Answer: D) 9:8

Explanation:

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Filed Under: Simple Interest
Exam Prep: Bank Exams

3 1523

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

0 1523

Q:

Instead of multiplying by 25, a student multiplies that number by 52 and gets 324 more than correct answer. Then that number is

A) 15	B) 12
C) 25	D) 32

Answer & Explanation Answer: B) 12

Explanation:

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

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Q:

It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is:

A) 3:5	B) 3:4
C) 4:3	D) 4:5

Answer & Explanation Answer: B) 3:4

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability

1 1522

Q:

The marked price of an article is Rs 1200 and retailer gets a discount of 25%. If he sells that article for Rs 1200, then what is the profit percentage of retailer?

A) 33.33	B) 25
C) 37.5	D) 16.66

Answer & Explanation Answer: A) 33.33

Explanation:

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

7 1522

Q:

Two circles touch externally. The sum of their areas is $130 π$ sq.cm and the distance between their centers is 14 cm. The radius of the bigger circle is

A) 22 cm	B) 11 cm
C) 33 cm	D) 44 cm

Answer & Explanation Answer: B) 11 cm

Explanation:

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

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Q:

A and B can complete a task in 20 days, B and C can complete it in 30 days while C and A can do the same task together in 24 days. How many days will each of and C take to complete the task individually?

A) 50 and 54	B) 54 and 72
C) 48 and 80	D) 56 and 64

Answer & Explanation Answer: C) 48 and 80

Explanation:

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Filed Under: Time and Work
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

Quantitative Aptitude - Arithmetic Ability Questions

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