Aptitude and Reasoning Questions

Q:

To cover a certain distance with a speed of 60 km/hr, a train takes 15 hours. If it covers the same distance in 12 hours, what will be its speed?

A) 65 km/h B) 70 km/h
C) 75 km/h D) 80 km/h
 
Answer & Explanation Answer: C) 75 km/h

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Q:

Determine the value of ‘r’ for which the equation 13x + 5 = rx + 18 has no solution.

A) 0 B) 5
C) 13 D) 18
 
Answer & Explanation Answer: C) 13

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

A basket contains 300 mangoes . 75 mangoes were distributed among some students . Find the percentage of mangoes left in the basket

A) 70% B) 72%
C) 76% D) 75%
 
Answer & Explanation Answer: D) 75%

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Filed Under: Percentage
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:

The average revenues of 9 consecutive years of a company is Rs 65 lakhs. If the average of first 5 years is Rs 60 lakhs and that of last 5 years is Rs 72 lakhs, find the revenue for the 5th year.

A) Rs 77 lakhs B) Rs 75 lakhs
C) Rs 73 lakhs D) Rs 71 lakhs
 
Answer & Explanation Answer: B) Rs 75 lakhs

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

In the following question, which one set of letters when sequentially placed at the gaps in the given letter series shall complete it?

M_N_M_MR_R_N

 

A) RMRMN B) RRNNM
C) RNRNM D) MMRRN
 
Answer & Explanation Answer: B) RRNNM

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Q:

Product of digits of a 2­digit number is 12. If we add 36 to the number, the new number obtained is a number formed by interchange of the digits. What is the number.

A) 62 B) 34
C) 26 D) 43
 
Answer & Explanation Answer: C) 26

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

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Q:

Gurpreet is facing towards south. She turns right and walks 35m, then turns right again and walks 40m more. Finally, she turns left and walks 30m. Which direction is she facing now?

A) South B) North
C) West D) East
 
Answer & Explanation Answer: C) West

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Filed Under: Direction Sense Test
Exam Prep: Bank Exams

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