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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

α and β are the roots of quadratic equation. If α + β = 8 and α – β = 2√5, then which of the following equation will have roots α4 and β4?

A) x2 – 1522x + 14641 = 0 B) x2 + 1921x + 14641 = 0
C) x2– 1764x + 14641 = 0 D) x2+ 2520x + 14641 = 0
 
Answer & Explanation Answer: A) x2 – 1522x + 14641 = 0

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

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

A) BF B) LR
C) MQ D) AE
 
Answer & Explanation Answer: B) LR

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Filed Under: Odd Man Out
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Q:

In the following question, four number pairs are given. The number on left side of (–) is related to the number of the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

A) 11 – 121   B) 13 – 169
C) 19 – 361 D) 17 – 279
 
Answer & Explanation Answer: D) 17 – 279

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Filed Under: Odd Man Out
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Q:

In the following question, four number pairs are given. The number on left side of (–) is related to the number on the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the

A) 15 – 45 B) 11 – 33
C) 15 – 55 D) 19 – 57
 
Answer & Explanation Answer: C) 15 – 55

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

In what ratio does the point T(x,0) divide the segment joining the points S(-4,-1) and U(1,4)?

A) 1 : 4 B) 4 : 1
C) 1 : 2 D) 2 : 1
 
Answer & Explanation Answer: A) 1 : 4

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Filed Under: Ratios and Proportions
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Q:

Which of the following will yield a recurring decimal?

A) 21/90 B) 21/60
C) 21/30 D) 21/120
 
Answer & Explanation Answer: A) 21/90

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Filed Under: Decimal Fractions
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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:

What is the difference of the factors of the expression x2 + (1/x2) – 6?

A) 0 B) 1
C) 2 D) 4
 
Answer & Explanation Answer: D) 4

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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