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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

The ratio of sand to gravel in a mixture is 7 : 8 while that between gravel and cement is 6 : 7. What is the ratio of sand to cement in the mixture?

A) 49 : 48 B) 7 : 7
C) 8 : 6  D) 3 : 4
 
Answer & Explanation Answer: D) 3 : 4

Explanation:
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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

1 1079
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 cube to that of the cylinder ?

A) 4 : 3 B) 21 : 16
C) 14 : 11 D) 45 : 32
 
Answer & Explanation Answer: C) 14 : 11

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)
VcubeVcylinder = a3πr22h = 14/11
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 1079
Q:

Yaman sold an item at a loss of 10%. If he had sold it for Rs.57 more, he would have made a profit of 20%. What should be the selling price of the item to make a profit of 30%?

A) Rs.247 B) Rs.190
C) Rs.228 D) Rs.222.30
 
Answer & Explanation Answer: A) Rs.247

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

2 1078
Q:

The solution set of 4x - 3y = 47 and 3x + y = 32 is

A) {(15, 3)} B) {(4, 12)}
C) {(11, -1)} D) {(12, 3)}
 
Answer & Explanation Answer: C) {(11, -1)}

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1078
Q:

If cot ­-4π/3 = x, then the value of x is

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

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If 3√2 + √18 + √50 = 15.55, then what is the value of √32 + √72?

A) 13.22 B) 10.83
C) 14.13 D) 16.54
 
Answer & Explanation Answer: C) 14.13

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

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

A) 11 – 121 B) 13 – 169
C) 19 – 391 D) 21 – 441
 
Answer & Explanation Answer: C) 19 – 391

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

Find the odd word/letters/number pair from the given alternatives

A) 1 : 8 B) 27 : 64
C) 125 : 218 D) 323 : 512
 
Answer & Explanation Answer: C) 125 : 218

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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