Quantitative Aptitude - Arithmetic Ability Questions

Q:

Vinay professes to lose 4% on sugar and uses a weight of 620 gm instead of 1 kg. What is the total profit percentage?

 

A) 44.24   B) 34.14  
C) 35.41   D) 54.84
 
Answer & Explanation Answer: D) 54.84

Explanation:
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Filed Under: Profit and Loss
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Q:

The ratio of present ages of Ratna and Shantanu is 5:4. After 19 years the ratio of their ages will be 10:9. What is Ratna's present age?

A) 19 B) 15
C) 9 D) 72
 
Answer & Explanation Answer: A) 19

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Filed Under: Problems on Ages
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Q:

If α and β are roots of the equation 3x2  13x + 14 = 0, then what is the value of (α/β) + (β/α)?

A) 65/28 B) 53/14
C) 9 D) 85/42
 
Answer & Explanation Answer: D) 85/42

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Filed Under: Simplification
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Q:

Find the odd word/letters/number from the given alternatives

A) Wolf B) Cat
C) Dog D) Fox
 
Answer & Explanation Answer: B) Cat

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Filed Under: Odd Man Out
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Q:

If (sec2A - 1)/secA = x, then the value of x is

A) cosecA B) cosA
C) sinA D) tanA
 
Answer & Explanation Answer: C) sinA

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Filed Under: Simplification
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Q:

What is the simplified value of cosec6A  cot6A  3 cosec2A cot2A?

A) -2 B) -1
C) 0 D) 1
 
Answer & Explanation Answer: D) 1

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Q:

If 3 tan θ = cot θ where 0 < θ < π/2, then what is the value of θ ?

A) π/6 B) π/4
C) π/2 D) 1
 
Answer & Explanation Answer: A) π/6

Explanation:
3tan θ = cot θ 
3tan θ = 1/tan θ
tan2θ = 1/3
tan θ = 1/√3
θ = π/6
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Q:

If a + b = 10 and ab = 21, then the value of (a - b)2 is

A) 15 B) 16
C) 17 D) 18
 
Answer & Explanation Answer: B) 16

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