Aptitude and Reasoning Questions

Q:

What is the value of Sin 30° + Cos 30°?

A) (√6 + 1)/√3 B) (√3 + 2)/√3
C) (1 + √3)/2 D) 5/√3
 
Answer & Explanation Answer: C) (1 + √3)/2

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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:

Diameter of wheel of a cycle is 21 cm. The cyclist takes 45 minutes to reach a destination at a speed of 16.5 km/hr. How many revolutions will the wheel make during the journey?

A) 12325 B) 18750
C) 21000 D) 24350
 
Answer & Explanation Answer: B) 18750

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Filed Under: Volume and Surface Area
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Q:

In the following question, select the missing number from the given series.
 
1912, 2012, 2133, 2277, 2446, ?

A) 2642 B) 2964
C) 2738 D) 2858
 
Answer & Explanation Answer: A) 2642

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Q:

The HCF of 24, 60 and 90 is:

A) 3 B) 6
C) 12 D) 4
 
Answer & Explanation Answer: B) 6

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Filed Under: HCF and LCM
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Q:

Alipta got some amount of money from her father. In how many years will the ratio of the money and the interest obtained from it be 10:3 at 6% simple interest per annum?

A) 7 years B) 3 years
C) 5 years D) 4 years
 
Answer & Explanation Answer: C) 5 years

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Filed Under: Simple Interest
Exam Prep: Bank Exams

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Q:

For which value of ‘g’ the linear graph of 6x + 12y +9 = 0 and 2x + gy + 3 = 0 has infinite number of solutions?

A) 3 B) 4
C) 6 D) 9
 
Answer & Explanation Answer: B) 4

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Q:

The difference between the largest and the smallest angles of a triangle whose angles are in the ratio of 5:3:10 is

A) 20° B) 30°
C) 50° D) 70°
 
Answer & Explanation Answer: D) 70°

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