Quantitative Aptitude - Arithmetic Ability Questions

Q:

A solid brass sphere of radius 2.1 dm is converted into a right circular cylindrical rod of length 7cm. The ratio of total surface areas of the rod to the sphere is

A) 3:1 B) 1:3
C) 7:3 D) 3:7
 
Answer & Explanation Answer: C) 7:3

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Q:

An army lost 10% of its men in war, 10% of the remaining died due to disease and 10% of the rest were declared disabled. Thus the strength of the army was reduced to 7,29,000 active men. The original strength of the army was

A) 1500000 B) 1000000
C) 1200000 D) 1100000
 
Answer & Explanation Answer: B) 1000000

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Q:

If x + y = 3, then what is the value of x3 + y3 + 9xy?

A) 15 B) 81
C) 27 D) 9
 
Answer & Explanation Answer: C) 27

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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:

If x -­ y = ­7 and x + y = 13, then x2 - y2 is

A) 91 B) -30
C) 30 D) -­91
 
Answer & Explanation Answer: D) -­91

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Q:

If 4(x + 5) -­ 3 > 6 -­ 4x ≥ x -­ 5; then the value of x is

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

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Q:

√[(1 ­ sinA)/(1 + sinA)] is equal to?

A) secA -­ tanA B) cosecA -­ cotA
C) secA + tanA D) cosecA + cotA
 
Answer & Explanation Answer: A) secA -­ tanA

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Q:

If secA + tanA = x, then find the value of x.

A) √[(1 - sinA)/(1 + sinA)] B) (1 + sinA)/(1 - sinA)
C) (1 - sinA)/(1 + sinA) D) √[(1 + sinA)/(1 - sinA)]
 
Answer & Explanation Answer: D) √[(1 + sinA)/(1 - sinA)]

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