Quantitative Aptitude - Arithmetic Ability Questions

Q:

If x1x2x3 = 4(4 + x1 + x2 + x3 ), then what is the value of [1/(2 + x1  )] + [1/(2 + x2 )] + [1/(2 + x3 )]?

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

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Q:

ΔXYZ is right angled at Y. If m∠X = 30 deg, then find the value of (sinZ + √3).

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

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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 x = a cosθ+ b sinθ and y = b cosθ- a sinθ, then x2 + y2 is equal to

A) ab B) a2+b2
C) a2-b2 D) 1
 
Answer & Explanation Answer: B) a2+b2

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Q:

Tanya got an increment of 15% in her salary. If her enhanced salary is Rs.14,030. What was her original salary?

A) Rs.12200 B) Rs.12300
C) Rs.12400 D) Rs.12000
 
Answer & Explanation Answer: A) Rs.12200

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Q:

If a + b = 1, then a4 + b4 - a3 - b3 - 2a2b2 + ab is equal to

A) 1 B) 2
C) 4 D) 0
 
Answer & Explanation Answer: D) 0

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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 the ratio of marked price and selling price is 11 : 10, then what is the discount percentage?

A) 11.11 B) 17.28
C) 12.5 D) 9.09
 
Answer & Explanation Answer: D) 9.09

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