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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Expanded and simplification of (x + 3)(x - 1) will be equal to

A) x2+ 2x - 3 B) x2 + 3x + 2
C) x2 - 2x + 3 D) x2 + 3x - 2
 
Answer & Explanation Answer: A) x2+ 2x - 3

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT

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Q:

In ΔPQR, S and T are points on side PQ and PR respectively. ST is parallel to QR. If S divides PQ in the ratio 4:1 and length of QR is 15 cm,what is the length of ST?

A) 3 cm B) 5 cm
C) 12 cm D) 10 cm
 
Answer & Explanation Answer: C) 12 cm

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Out of two numbers, 65% of the smaller number is equal to 45% of the larger number. If the sum of the numbers is 2574, then what is the value of larger number?.

 

A) 1521   B) 1471  
C) 1641   D) 1419
 
Answer & Explanation Answer: A) 1521  

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

Select the odd word/letters/number/number pair from the given alternatives.

A) WYA B) MNO
C) ACE D) EGI
 
Answer & Explanation Answer: B) MNO

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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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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Exam Prep: Bank Exams

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Q:

Δ LMN is right angled at M. If m∠N = 60°, then Tan L =______.

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

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Q:

What is the value of sin ­-300°?

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

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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 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

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