Aptitude and Reasoning Questions

Q:

The amount (in Rs) received at 10% per annum compound interest after 3 yrs is Rs 1,19,790. What was the principal?

A) 90000 B) 1,00,000
C) 80000 D) 75000
 
Answer & Explanation Answer: A) 90000

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

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Q:

In the following question, select the odd number pair from the given alternatives.

A) 1444 – 37 B) 2809 – 54
C) 2209 – 46 D) 6084 – 77
 
Answer & Explanation Answer: B) 2809 – 54

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

If x = a + 1a, y = a - 1a ,(a>0), then the value of x4+y4-2x2y2 is

A) 16 B) 20
C) 10 D) 5
 
Answer & Explanation Answer: A) 16

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

What is the value of Cot 60 - Sec 30?

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

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Deepinder lent Rs 8200 to Jairaj for 16 years and Rs 4900 to Karna for 15 years on simple interest at the same rate of interest and received Rs 19446.5 in all from both of them as interest. The rate of interest per annum is:

A) 10 percent B) 10.5 percent
C) 9.5 percent D) 11 percent
 
Answer & Explanation Answer: C) 9.5 percent

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Filed Under: Simple Interest
Exam Prep: Bank Exams

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Q:

Select the odd letters from the given alternatives.

A) GHI B) XYZ
C) VUT D) CDE
 
Answer & Explanation Answer: C) VUT

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Filed Under: Odd Man Out
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 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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Q:

If x4+1x4=119, then the value of x-1x is

A) 6 B) 12
C) 11 D) 3
 
Answer & Explanation Answer: D) 3

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