6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If $\sqrt (1 + \cot^{2} A) = x$ , then the value of x is

A) secA	B) sinA
C) cosecA	D) cosA

Answer & Explanation Answer: C) cosecA

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams , CAT

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Q:

There is 40% increase in an amount in 5 years at simple interest. What will be the compound interest of Rs. 25000 after 3 years at the same rate?

A) Rs 6492.8	B) Rs 12985.6
C) Rs 16232	D) Rs 9739.2

Answer & Explanation Answer: A) Rs 6492.8

Explanation:

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Filed Under: Compound Interest
Exam Prep: Bank Exams

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Q:

What percentage of 1 day is 18 minutes?

A) 7.5%	B) 1.25%
C) 12.5%	D) 1.8%

Answer & Explanation Answer: B) 1.25%

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

Among four students sitting in a row, average age of last three students is 20 years and the average age of first three students is 21 years. If the age of first student is 26 years, then what is the age (in years) of the last student?

A) 23	B) 37
C) 24	D) 29

Answer & Explanation Answer: A) 23

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

ΔABC is similar to ΔPQR. Length of AB is 18 cm and length of the corresponding side PQ is 12 cm. If area of ΔABC is 324 sq cm, what is the area of ΔPQR?

A) 72 sq cm	B) 144 sq cm
C) 36 sq cm	D) 487.5 sq cm

Answer & Explanation Answer: B) 144 sq cm

Explanation:

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Filed Under: Volume and Surface Area
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 train starts moving from a place P at 10:00 a.m. and arrives at another place Q at 5:30 p.m. on the same day. If the speed of the train is 50 km/hr, then what will be the distance (in km) covered by the train?

A) 424	B) 390
C) 375	D) 225

Answer & Explanation Answer: C) 375

Explanation:

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Filed Under: Problems on Trains
Exam Prep: Bank Exams

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Q:

Present age of Amit is twice of Baman’s present age. After 5 years Baman’s age will be 4 times of the Chetan’s present age. If Chetan celebrated his sixth birthday 7 years ago, then what will be the present age (in years) of Amit?

A) 98	B) 110
C) 94	D) 92

Quantitative Aptitude - Arithmetic Ability Questions

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