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 Quantitative Aptitude - Arithmetic Ability Questions

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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
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Q:

The diagonals of two squares are in the ratio 5:2.The ratio of their area is

A) 5:6 B) 25:4
C) 5:4 D) 125:8
 
Answer & Explanation Answer: B) 25:4

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

By increasing the price of entry ticket to a fair in the ratio 17:19, the number of visitors to the fair has decreased in the ratio 11:10. In what ratio has the total collection increased or decreased?

A) decreased in the ratio 190:187 B) increased in the ratio 187:190
C) increased in the ratio 170:209 D) decreased in the ratio 209:170
 
Answer & Explanation Answer: B) increased in the ratio 187:190

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

The ratio of two numbers is 5 : 4. If the sum of both the numbers is 180, then what is the smaller number among both the numbers?

A) 100 B) 80
C) 60 D) 75
 
Answer & Explanation Answer: B) 80

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Q:

The incomes of S and T are in the ratio 3 : 4 and their expenditures are in the ratio 1 : 1. If S saves Rs 4000 and T saves Rs 22000, then what will be the income (in Rs) of S?

 

A) 45000 B) 54000
C) 60000   D) 65000
 
Answer & Explanation Answer: B) 54000

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Filed Under: Ratios and Proportions
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Q:

In the following questions two equations numbered I and II are given. You have to solve boththe equations and give answers

I. 2x ² –21x + 54 = 0

II. y ² –14y + 49 = 0

A) x = y or relation can’t be established between x and y B) x > y
C) x < y D) x ≥ y
 
Answer & Explanation Answer: C) x < y

Explanation:

I. 2x ² –21x + 54 = 0(x -6)(2x -9)x =+6, +9/2

II. y ² –14y + 49 = 0(y-7) (y-7)y = +7, +7y > x

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Q:

If Tan θ = 4/3, then what is the value of Sin θ?

A) 1.25 B) 0.8
C) 4/3 D) 3/4
 
Answer & Explanation Answer: B) 0.8

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Q:

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 12% per annum is Rs 900. What is the value of given sum (in Rs)?

A) 125000 B) 250000
C) 62500 D) 187500
 
Answer & Explanation Answer: C) 62500

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