Quantitative Aptitude - Arithmetic Ability Questions

Q:

For triangle ABC, what would be the equation of median AD if co-ordinates of A, B and C are (-5,4), (-4,0) and (-2,2) respectively?

A) 3x - 2y = -11 B) 3x + 2y = 7
C) 3x + 2y = -7 D) 3x - 2y = 11
 
Answer & Explanation Answer: C) 3x + 2y = -7

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Q:

Compute 33800/520/5

A) 31 B) 325
C) 13 D) 352
 
Answer & Explanation Answer: C) 13

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Q:

 

A) 110 B) 220
C) 330 D) 440
 
Answer & Explanation Answer: C) 330

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Q:

The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ratio of the number of boys to the number of girls in the class is:-

A) 1:2  B) 2:3
C) 3:4 D) 3:5
 
Answer & Explanation Answer: B) 2:3

Explanation:

Let the ratio be x : y
Total boys = 16.4 X x
Total girls = 15.4 X y
Total number of students in class = 16.4x + 15.4y
The average age of all students is 15.8
The total age of boys is 15.8x
The total age of girls is 15.8y
16.4x + 15.4y = 15.8x + 15.8y
0.6 x = 0.4 y
x/y = 0.4/0.6 = 2/3

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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:

The sum of 2xy(3x + 4y - 5z) and 5yz(2x - 3y) is

A) 6x2y - 8xy2 + 15y2z B) 6x2y + 8xy2 - 15y2z
C) 6x2y + 8xy2 - 15y2z - 20xyz D) 6x2y - 8xy2 + 15y2z + 20xyz
 
Answer & Explanation Answer: B) 6x2y + 8xy2 - 15y2z

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Q:

What is the value of (1 + cotA)2 + (1 -­ cotA)2?

A) 2cosec2A B) 2sec2A
C) 1 -­ 2cosec2A D) 1 -­ 2sec2A
 
Answer & Explanation Answer: A) 2cosec2A

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Q:

A Village lost 12% of its goats in a flood and 5% of remainder died from diseases. If the number left now is 8360. What was the orignal number before the flood?

A) 1000 B) 10000
C) 1,00,000 D) 8360
 
Answer & Explanation Answer: B) 10000

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