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Q:

A regular triangular pyramid is cut by 2 planes which are parallel to its base. The planes trisects the altitude of the pyramid. Volume of top, middle and bottom part is V1, V2 and V3 respectively. What is the value of V1 :V2 : V3?

A) 1 : 8 : 27 B) 1 : 8 : 19
C) 2 : 9 : 27 D) 1 : 7 : 19
 
Answer & Explanation Answer: D) 1 : 7 : 19

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

Q:

A sphere of radius 21 cm is cut into 8 identical parts by 3 cuts (1 cut along each axis). What will be the total surface area (in cm2) of each part?

A) 844.5 B) 1732.5
C) 1039.5 D) 1115.6
 
Answer & Explanation Answer: B) 1732.5

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

Q:

The radius and height of a solid cylinder are increased by 2% each. What will be the approximate percentage increase in volume?

A) 6.76 B) 5.88
C) 6.12 D) 3.34
 
Answer & Explanation Answer: C) 6.12

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

Q:

The height of a cone is 45 cm. It is cut at a height of 15 cm from its base by a plane parallel to its base. If the volume of the smaller cone is 18480 cm3, then what is the volume (in cm3) of the original cone?

A) 34650 B) 61600
C) 36960 D) 62370
 
Answer & Explanation Answer: D) 62370

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

Q:

N is the smallest three digit prime number. When N is divided by 13, then what will be the remainder?

A) 8 B) 9
C) 7 D) 10
 
Answer & Explanation Answer: D) 10

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

An investor invested his saving in the stock market. The value of his investments increased by 12% and 9% in the first year and the second year respectively. If the value of his investments after two years became Rs 97,664 then how much had he invested (in Rs)?

A) 81000 B) 75000
C) 80000 D) 72000
 
Answer & Explanation Answer: C) 80000

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Filed Under: Percentage
Exam Prep: Bank Exams

Q:

Flight A usually takes 1 hour more than Flight B to travel a distance of 7200 km. Due to engine trouble speed of flight B falls by a factor of 1/6th, so it takes 36 minutes more than Flight A to complete the same journey? What is the speed of Flight A (in km/hr)?

A) 800 B) 900
C) 750 D) 720
 
Answer & Explanation Answer: A) 800

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Filed Under: Time and Distance
Exam Prep: Bank Exams

Q:

When a number is increased by 216, it becomes 140% of itself. What is the number?

A) 540 B) 756
C) 450 D) 675
 
Answer & Explanation Answer: A) 540

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Filed Under: Percentage
Exam Prep: Bank Exams