Quantitative Aptitude - Arithmetic Ability Questions

Q:

A boat is sailing towards a lighthouse of height 20√3 m at a certain speed. The angle of elevation of the top of the lighthouse changes from 30° to 60° in 10 seconds. What is the time taken (in seconds) by the boat to reach the lighthouse from its initial position?

A) 10 B) 15
C) 20 D) 60
 
Answer & Explanation Answer: B) 15

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Q:

Vishal is 20 years younger to Arya. Twelve years hence Arya's age will be 1.25 times that of Vishal. Aryais now ......... years old.

A) 78 B) 68
C) 88 D) 72
 
Answer & Explanation Answer: C) 88

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Q:

Product of 6ab, 3b and 4a is

A) 72a2b2 B) 144ab
C) 72ab D) 144a2b2
 
Answer & Explanation Answer: A) 72a2b2

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

A helicopter, at an altitude of 1500 m, finds that two ships are sailing towards it, in the same direction. The angles of depression of the ships as observed from the helicopter are 60° and 30°respectively. Distance between the two ships, in metres is

A) 1000√3 B) 1000/√3
C) 500√3 D) 500/√3
 
Answer & Explanation Answer: A) 1000√3

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Filed Under: Height and Distance
Exam Prep: Bank Exams

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Q:

Reflection of the point (2,­7) in the y­axis is

A) (2,7) B) (­-2,-­7)
C) (­-7,2) D) (7,­2)
 
Answer & Explanation Answer: B) (­-2,-­7)

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT

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Q:

If the population of a town increases by 25% in the first year and increases by 36% in the second year, then what is the average rate (in percentage)of increase in the population?

 

A) 26 B) 30.5
C) 31.66 D) 35
 
Answer & Explanation Answer: D) 35

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

If sin(A/2) = x, then the value of x is

A) √[(1 + cosA)/2] B) √[(1 -­ cosA)/2]
C) √[(1 -­ sinA)/2] D) √[(1 + sinA)/2]
 
Answer & Explanation Answer: B) √[(1 -­ cosA)/2]

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

What is the value of sec -2π/3 ?

A) -2 B) 2
C) 2/√3 D) -2/√3
 
Answer & Explanation Answer: A) -2

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Filed Under: Simplification
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