Quantitative Aptitude - Arithmetic Ability Questions

Q:

A cone of radius 3.5 cm and height 27 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 2.1 cm. What will be the height of water in this vessel? (Take π = 22/7)

A) 50 cm B) 25 cm
C) 12.5 cm D) 37.5 cm
 
Answer & Explanation Answer: B) 25 cm

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

A man can row upstream at 12 km/hr and downstream at 18 km/hr. The man's rowing speed in still water is

A) 15 km/hr B) 5 km/hr
C) 3 km/hr D) 10 km/hr
 
Answer & Explanation Answer: A) 15 km/hr

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

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Q:

Manish is four times as efficient as Puneet. Manish takes 90 days less than Puneet to complete a book. If both of them work together, then in how many days the book will be completed?

A) 28 B) 25
C) 24 D) 30
 
Answer & Explanation Answer: C) 24

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Filed Under: Time and Work
Exam Prep: Bank Exams , CAT

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Q:

In a mixture, ink and water are in the ratio of 8 : 5. If 24 litres of water is added to the mixture, then the new ratio becomes 8 : 11. What is the total quantity (in litres) of water in the new mixture?

A) 40 B) 42
C) 44 D) 48
 
Answer & Explanation Answer: C) 44

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

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Q:

cot3A is equal to

A) 3cotA -­ cot3A(1 -­ 3cot2A) B) 3cotA + cot3A(1 -­ 3cot2A)
C) 3cotA -­ cot3A(1 + 3cot2A) D) 3cotA + cot3A(1 + 3cot2A)
 
Answer & Explanation Answer: A) 3cotA -­ cot3A(1 -­ 3cot2A)

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Two numbers are in ratio 3:4. When 3 is subtracted from both the numbers, the ratio becomes 2:3. Find the sum of the numbers.

A) 16 B) 20
C) 21 D) 22
 
Answer & Explanation Answer: C) 21

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

If 10x/3 + 5/2(2 - x/3) = 7/2, then the value of x is?

A) 3/5 B) -5/3
C) 5/3 D)  -3/5
 
Answer & Explanation Answer: D)  -3/5

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If a = 1/a-5, then the value of a + 1/a = ?

A) √29 B) √-29
C) - √29 D) √27
 
Answer & Explanation Answer: A) √29

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Filed Under: Simplification
Exam Prep: Bank Exams

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