Quantitative Aptitude - Arithmetic Ability Questions

Q:

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:3 and area of ΔADE is 4 sq cm, what is the area (in sq cm) of quadrilateral BDEC.

A) 25 B) 21
C) 5 D) 9
 
Answer & Explanation Answer: B) 21

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Q:

The distance between the points (7,7) and (k,-5) is 13. Find k?

A) -2 B) 4
C) -4 D) 2
 
Answer & Explanation Answer: D) 2

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Filed Under: Simplification
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Q:

If x/2 - [4(15/2 - x/3)]/3 = -x/18, then what is the value of x?

A) -10 B) 9/8
C) 10 D) -9/8
 
Answer & Explanation Answer: C) 10

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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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Q:

What is the value of (2 - sin30°) ?

A) 3/2 B) 3/√2
C) 2-√3 D) (2√3-√6)/2√2
 
Answer & Explanation Answer: A) 3/2

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Q:

Select the odd word/letters/number/number pair from the given alternatives.

A) 8179 B) 7147
C) 8135 D) 9113
 
Answer & Explanation Answer: D) 9113

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Filed Under: Odd Man Out
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Q:

Select the related word/letters/number from the given alternatives.
1 : 8 :: ? :64

A) 25 B) 36
C) 30 D) 27
 
Answer & Explanation Answer: D) 27

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Filed Under: Ratios and Proportions
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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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