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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

A batsman makes a score of 95 runs in the 13th match and thus increases his average runs per match by 4. What is his average after the 13th match?

A) 47 B) 43
C) 45 D) 49
 
Answer & Explanation Answer: A) 47

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Q:

9 women can complete a work in 50 days. If more 6 women were added to them, how many days before the work can be completed?

A) 30 B) 20
C) 15 D) 25
 
Answer & Explanation Answer: B) 20

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Filed Under: Time and Work
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Q:

A can complete a task alone in 8 days, while B takes 12 days to do it by herself. Together with C it takes them 4 days to complete the work. If C and D together can complete the task in 15 days, then how many days will D need to complete the task by herself?

A) 36 B) 32
C) 40 D) 30
 
Answer & Explanation Answer: C) 40

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Q:

The average weight of Somdev, Gurdeep and Ritu is 85 kg. If the average weight of Somdev and Gurdeep be 79 kg and that of Gurdeep and Ritu be 73 kg, then the weight of Gurdeep is

A) 78 B) 49
C) 72 D) 90
 
Answer & Explanation Answer: B) 49

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Q:

The price of an article is cut by 24%, to restore to its original value, the new price must he increased by ______.

A) 24 percent B) 19.35 percent
C) 30 percent D) 31.58 percent
 
Answer & Explanation Answer: D) 31.58 percent

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Q:

The area of a circle is 346.5 cm2. Find its circumference (in cm).

A) 132 B) 38
C) 66 D) 76
 
Answer & Explanation Answer: C) 66

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Filed Under: Area
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Q:

If sin 3θ sec 2θ = 1, then what is the value of [3 tan2(5θ/2) – 1]?

A) 0 B) 1
C) 2 D) 3
 
Answer & Explanation Answer: C) 2

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Q:

If ab+c=bc+a=Cb+athen which one of the following statements is correct?

A) Each fraction is equal to 1 or -1 B) Each fraction is equal to 1/2 or 1
C) Each fraction is equal to 1/2 or -1 D) Each fraction is equal to 1.2 only
 
Answer & Explanation Answer: C) Each fraction is equal to 1/2 or -1

Explanation:

a/(b+c) = b/(c+a) = c/(a+b)

Taking reciprocal and adding 1 to each ratio we get;

(b+c)/a + 1 = b/(c+a) + 1 = c/(a+b) + 1

Or (a+b+c)/a = (a+b+c)/b = (a+b+c)/c

So this can only be equal when a=b=c or a+b+c = 0

When a=b=c we get

a/(b+c)= ½When a+b+c = 0 we get

b+c = -a

So a/(b+c) = -1

So the ratios are ½ or -1

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