Quantitative Aptitude - Arithmetic Ability Questions

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:

ΔXYZ is similar to ΔPQR. If ratio of Perimeter of ΔXYZ and Perimeter of ΔPQR is 16:9 and PQ = 3.6 cm, then what is the length(in cm) of XY?

A) 4.8 B) 3.2
C) 6.4 D) 8.6
 
Answer & Explanation Answer: C) 6.4

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

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Q:

Two smaller circles touch a large circle internally and pass through the center O of the larger circle. If the diameter of the bigger circle is 28 cm, thenwhat is the area of the bigger circle which is not enclosed by the two smaller circles (in sq.cm)?

A) 154 B) 256
C) 308 D) 616
 
Answer & Explanation Answer: C) 308

Explanation:
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Q:

Rs. x invested at 8% simple interest per annum for 5 years yields the same interest as that on Rs. y invested at 7.5% simple interest per annum for 6years. Find x : y.

A) 40:45 B) 5:6
C) 16:15 D) 9:8
 
Answer & Explanation Answer: D) 9:8

Explanation:
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Filed Under: Simple Interest
Exam Prep: Bank Exams

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Q:

Present age of Amit is twice of Baman’s present age. After 5 years Baman’s age will be 4 times of the Chetan’s present age. If Chetan celebrated his sixth birthday 7 years ago, then what will be the present age (in years) of Amit?

 

A) 98 B) 110
C) 94 D) 92
 
Answer & Explanation Answer: C) 94

Explanation:
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Filed Under: Problems on Ages
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Q:

A car can cover 350 km in 4 hrs. If its speed is decreased by 12.5 kmph. How much time does the car take to cover a distance of 450 kms.

A) 6 hrs B) 5 hrs
C) 4 hrs D) 7 hrs
 
Answer & Explanation Answer: A) 6 hrs

Explanation:
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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

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

A) OP B) UI
C) TA D) SE
 
Answer & Explanation Answer: B) UI

Explanation:
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Filed Under: Odd Man Out
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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

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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