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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

The sum for 2 years gives a compound interest of Rs 3225 at 15% rate. Then sum is

A) 10000 B) 20000
C) 15000 D) 32250
 
Answer & Explanation Answer: A) 10000

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Filed Under: Compound Interest
Exam Prep: Bank Exams

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Q:

For triangle PQR, what is the equation of altitude PS if co­ordinates of P, Q and R are (5,1), (0,­4) and (­2,3) respectively?

A) 7x + 2y = 33 B) 2x -­ 7y = 9
C) 2x -­ 7y = ­-3 D) 7x + 2y = -­33
 
Answer & Explanation Answer: B) 2x -­ 7y = 9

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

sinA/(1 + cos A) is equal to

A) (cosecA -­ cotA) B) (cosecA + cotA)
C) √[(cosecA ­- cotA)] D) √[(cosecA + cotA)]
 
Answer & Explanation Answer: A) (cosecA -­ cotA)

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

 In the following question, select the odd letter/letters from the given alternatives.

A) IJLO B) EFHI
C) KLNQ D) GHJM
 
Answer & Explanation Answer: B) EFHI

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

What is the value of Tan 45° - 1/√3 Sec 60°?

A) (1 - 2√3)/2 B) (√2 - √3)/√6
C) (3 - 2√3)/3 D) (1 - 2√2)/2
 
Answer & Explanation Answer: C) (3 - 2√3)/3

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If the average age of four children is 12 years and the average age of these children and their fathers is 20 years, what is the age of the father?

A) 52 years B) 48 years
C) 62 years D) 54 years
 
Answer & Explanation Answer: A) 52 years

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Filed Under: Problems on Ages
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:

At 5% simple interest per annum a certain sum yields a total amount of Rs. 2,790 at the end of 3 1/4 years. The sum invested was

A) Rs. 2350 B) Rs. 2400
C) Rs. 2600 D) Rs. 2550
 
Answer & Explanation Answer: B) Rs. 2400

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Filed Under: Simple Interest
Exam Prep: Bank Exams

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