6500+ Quantitative Aptitude Questions and Answers With Explanation

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

Answer & Explanation Answer: C) 94

Explanation:

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Filed Under: Problems on Ages
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:

If PQ and PR be the two tangents to a circle with centre O such that ∠QPR = 120° then ∠POQ is

A) 90°	B) 45°
C) 30°	D) 60°

Answer & Explanation Answer: C) 30°

Explanation:

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Filed Under: Volume and Surface Area
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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 shopkeeper marks the price of an article at Rs. 320. Find the cost price if after allowing a discount of 10%, he still gains 20% on the cost price.

A) Rs. 240	B) Rs. 280
C) Rs. 300	D) Rs. 264

Answer & Explanation Answer: A) Rs. 240

Explanation:

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

2sin[(C+D)/2].sin[(D-C)/2] is equal to

A) cosC + cosD	B) cosC - cosD
C) sinC - sinD	D) sinC + sinD

Answer & Explanation Answer: B) cosC - cosD

Explanation:

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Filed Under: Simplification
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Q:

List price of TV is Rs. 2300 and discount series found to be 25% and 10%. Then the selling price of TV is

A) Rs.1255.5	B) Rs.1525.5
C) Rs.1552.5	D) Rs.1555.2

Answer & Explanation Answer: C) Rs.1552.5

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

Reflection of the point (1,4) in the xaxis is

A) (1,4)	B) (1,-4)
C) (-1,4)	D) (-1,-4)

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