6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In the triangle ABC, the internal bisector of angle A meets the side BC at D. If BD=7.5 cm and BC=9 cm. Then calculate the value of AB:AC.

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

Answer & Explanation Answer: C) 3:1

Explanation:

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Filed Under: Ratios and Proportions
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Q:

If $y = 2 s e c θ a n d x = 3 \tan θ t h e n \frac{x^{2}}{9} - \frac{y^{2}}{4}$ is

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

Answer & Explanation Answer: B) -1

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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Q:

The average weight of P, Q and R is 71 kg. If the average weight of P and Q be 66 kg and that of Q and R be 76.5 kg, then the weight (in kg) of Q is.

A) 60	B) 72
C) 81	D) 75

Answer & Explanation Answer: B) 72

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Filed Under: Average
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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:

ABCD is a quadrilateral in which BD and AC are diagonals then

A) AB + BC + CD + AD< AC + BD	B) AB + BC + CD + DA>AC + BD
C) AB + BC + CD + DA=AC + BD	D) AB + BC + CD + DA>2(AC + BD)

Answer & Explanation Answer: B) AB + BC + CD + DA>AC + BD

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Filed Under: Volume and Surface Area
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Q:

If x stands for addition, / stands for subtraction, + stands for multiplication and - stands for division, then what is the value of 20 x 8 / 8 - 4 + 2 ?

A) 24	B) 1
C) 20	D) 0

Answer & Explanation Answer: A) 24

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Filed Under: Quantitative Aptitude - Arithmetic Ability
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Q:

Two chords AB and PQ of a circle intersect at D inside a circle. If AD = 4 cm, DB = 6 cm, QD = 3 cm, the length of PQ is equal to

A) 11 cm	B) 8 cm
C) 9 cm	D) 10 cm

Answer & Explanation Answer: A) 11 cm

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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Q:

Triangle DEF is right angled at E. If cot D = 5/12, then what is the value of sin F?

A) 5/12	B) 13/5
C) 5/13	D) 13/12

Quantitative Aptitude - Arithmetic Ability Questions

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