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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

The curved surface area and the diameter of a right circular cylinder are 660 sq.cm and 21 cm respectively. Find its height (in cm).

 

A) 9 B)  10
C) 12 D) 8
 
Answer & Explanation Answer: B)  10

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

The bus fare between two cities is increased in the ratio 1:2. Find the increase in the fare, if the original fare is Rs. 175.

A) Rs 350 B) Rs 70
C) Rs 140 D) Rs 175
 
Answer & Explanation Answer: D) Rs 175

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

The orthocentre of an obtuse­angled triangle lies

A) inside the triangle B) outside the triangle
C) on one side of a triangle D) none of these
 
Answer & Explanation Answer: B) outside the triangle

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Filed Under: Simplification
Exam Prep: Bank Exams

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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
Exam Prep: Bank Exams

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Q:

PQ and RS are common tangents to two circles intersecting at A and B. AB, when produced both sides, meet the tangents PQ and RS at X and Y, respectively. If AB = 3 cm, XY = 5 cm, then PQ (in cm) will be

A) 3 cm B) 4 cm
C) 5 cm D) 2 cm
 
Answer & Explanation Answer: B) 4 cm

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

The sum of thrice a number and twice its reciprocal is 97/4. What is the number?

A) 9 B) 10
C) 8 D) 7
 
Answer & Explanation Answer: C) 8

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

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Q:

Josna takes 4 hrs 30 min in walking a distance and riding back to some place where she started. She could walk both ways in 5 hrs 40 min. The time taken by her to ride back both ways is

A) 3 hr 20 min B) 3 hr 35 min
C) 3 hr 45 min D) 3 hr 15 min
 
Answer & Explanation Answer: A) 3 hr 20 min

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

If tan(A/2) = x, then the value of x is

A) (1 - cosA)/sinA B) (1 + cosA)/sinA
C) √[(1 - cosA)/sinA] D) √[(1 + cosA)/sinA]
 
Answer & Explanation Answer: A) (1 - cosA)/sinA

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: AIEEE , Bank Exams , CAT

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