Quantitative Aptitude - Arithmetic Ability Questions

Q:

If a -­ b = 6 and ab =16, then a3 -­ b3 is

A) 504 B) 702
C) 728 D) 511
 
Answer & Explanation Answer: A) 504

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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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Q:

Given that the polynomial (x2+ ax+ b) leaves that same remainder when by (x –1) or (x + 1) What are the values of a and b respectively?

A) 4 and 0 B) 0 and 3
C) 3 and 0 D)  0 and any interger
 
Answer & Explanation Answer: D)  0 and any interger

Explanation:

Since x^2+ ax + b when divided by x-1 or x+1 leaves the same remainder

So on putting x=1 and x=-1 we get the same value

1+a+b = 1-a+b

2a=0

a=0

here b can take any value as it will always get cancelled out

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Filed Under: Numbers
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Q:

Of the 3 numbers whose average is 40, the first is 1/3 rd the sum of other 2. What is the first number?

A) 20 B) 50
C) 25 D) 30
 
Answer & Explanation Answer: D) 30

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Q:

The mean score in a test of the 12 boys in a class was 16 while the overall mean of the 30 students in the class was 18.1. What was the mean score of the girls?

A) 19.8 B) 20.5
C) 20 D) 19.5
 
Answer & Explanation Answer: D) 19.5

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Q:

The sum of three consecutive natural numbers each divisible by 5, is 225. The largest among them is

A) 85 B) 75
C) 70 D) 80
 
Answer & Explanation Answer: D) 80

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Filed Under: Problems on Numbers
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Q:

What is the slope of the line perpendicular to the line passing through the points (-5 , 1) and (-2 , 0)?

A) -3 B) 3
C) -1/3 D) 1/3
 
Answer & Explanation Answer: C) -1/3

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Filed Under: Area
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Q:

The co-ordinates of the centroid of a triangle ABC are (1 , -4). What are the co-ordinates of vertex C if co-ordinates of A and B are (3 , -4) and (0 , 5) respectively?

A) (0 , 13) B) (0, 5)
C) (0, -5) D) (0 , -13)
 
Answer & Explanation Answer: D) (0 , -13)

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Filed Under: Area
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