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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

What is the x – intercept of the linear equation 18x + 25y – 900 = 0?

A) 18 B) 25
C) 50 D) 450
 
Answer & Explanation Answer: C) 50

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Filed Under: Simplification
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Q:

ΔPQR is right angled at Q. If m∠R = 45°, then find the value of (tanP - 1/2).

A) (2-√3)/√3 B) (2√3-√6)/2√2
C) 1/2 D) (√6-6)/3√3
 
Answer & Explanation Answer: C) 1/2

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Q:

Three triangles are marked out of a bigger triangle at the three vertices such that each side of each of the smaller triangles is one-fourth as long as each corresponding side of the bigger triangle. The ratio of the area of the three small triangles taken together to that of the rest of the bigger triangle is

A) 4 : 15 B) 3 : 13
C) 3 : 16 D) 1 : 5
 
Answer & Explanation Answer: B) 3 : 13

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Filed Under: Ratios and Proportions
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Q:

In the following question, select the odd word pair from the given alternatives.

A) Patient – Doctor B) Criminals – Police
C) Student – Teacher D) Animal – Bird
 
Answer & Explanation Answer: D) Animal – Bird

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Filed Under: Odd Man Out
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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:

What is the reflection of the point (-4, 3) in the line x = -2?

A) (-4 , -7) B) (4 , 3)
C) (0 , 3) D) (-4 , 7)
 
Answer & Explanation Answer: C) (0 , 3)

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Filed Under: Volume and Surface Area
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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 = 43πr1313πr22h = 6√3:1
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Filed Under: Volume and Surface Area
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Q:

Find the volume (in cm3) of a cube of side 7.5 cm.

A) 421.875 B) 77.145
C) 39.245 D) 24.435
 
Answer & Explanation Answer: A) 421.875

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Filed Under: Volume and Surface Area
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