Quantitative Aptitude - Arithmetic Ability Questions

Q:

If p & q = p2 + 4pq - q2 then find the value of (3 & 6) + (4 & 5).

 

A) 98 B) 106
C) 116 D) 126
 
Answer & Explanation Answer: C) 116

Explanation:
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1 30069
Q:

Which of the following statement(s) is/are CORRECT?

 

I. (√11 + √2) > (√8 + √5)

II. (√10 + √3) > (√7 + √6

 

A) Only I B) Only II
C) Neither I nor II D) Both I and II
 
Answer & Explanation Answer: C) Neither I nor II

Explanation:
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0 30053
Q:

Three circles of radius 3.5cm are placed in such a way that each circle touches the other two. The area of the portion enclosed by the circles is

A) 1.967 B) 1.867
C) 1.767 D) 1.567
 
Answer & Explanation Answer: A) 1.967

Explanation:

required area = (area of an equilateral triangle of side 7 cm)- (3 * area of sector with à = 60 degrees and r = 3.5cm)
34*7*7-3*227*3.5*3.5*60360 sq cm

 

=34*49-11*0.5*3.5 sq cm

 

= 1.967 sq cm

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Filed Under: Area
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34 30045
Q:

Cos2 90° + Cosec2 90° - Cot2 45° = ?

 

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

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Q:

What will come in place of the question mark (?) in the following questions ?

22% of ? + 166.64 = 340 

A) 788 B) 786
C) 784 D) 792
 
Answer & Explanation Answer: A) 788

Explanation:

(kx22)/100 = 340 - 166.64 = 173.36
k = (173.36 x 100)/22
k = 788

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Filed Under: Numbers
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15 30034
Q:

How many leap years do 300 years have?

A) 75 B) 74
C) 72 D) 73
 
Answer & Explanation Answer: C) 72

Explanation:

Given year is divided by 4, and the quotient gives the number of leap years.

Here, 300%4 = 75.

But, as 100,200 and 300 are not leap years => 75 - 3= 72 leap years.

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Filed Under: Calendar

102 30031
Q:

If x2 = 252 - 152, then find the value of x?

 

A) 40 B) 50
C) 20 D) 25
 
Answer & Explanation Answer: C) 20

Explanation:
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Q:

Of the 1000 inhabitants of a town, 60 % are males of whom 120 % are literate. If, of all the inhabitants,  25% are literate, then what percent of the females of the town are literate ?

A) 32.5 % B) 43 %
C) 46.6 % D) 53.2 %
 
Answer & Explanation Answer: A) 32.5 %

Explanation:

Number of males = 60% of 1000 = 600. Number of females = (1000 - 600) = 400.

Number of literates = 25% of 1000 = 250.

Number of literate males = 20% of 600 = 120.

Number of literate females = (250 - 120) = 130.

Required pecentage = (130/400 * 100 ) % = 32.5 %.

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Filed Under: Percentage

70 29982