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Quantitative Aptitude - Arithmetic Ability

Quantitative Aptitude - Arithmetic Ability Questions

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If x=aCosθCosΦ, y = aCosθSinΦ and z= aSinθ, then the value of $x^{2} + y^{2} + z^{2}$ is

A) 2a2	B) 0
C) 4a2	D) a2

A) 2a2

B) 0

C) 4a2

D) a2

Answer & Explanation Answer: D) a2

Explanation:

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Filed Under: Simplification
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What is the value of cot 11π/6?

A) -√3	B) -1
C) √3	D) -1/2

A) -√3

B) -1

C) √3

D) -1/2

Answer & Explanation Answer: A) -√3

Explanation:

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Find the value of x if $\sqrt{1 - \frac{x}{24}} = \frac{13}{18}$

A) 155	B) 157
C) 159	D) 161

A) 155

B) 157

C) 159

D) 161

Answer & Explanation Answer: A) 155

Explanation:

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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

A) 25

B) 21

C) 5

D) 9

Answer & Explanation Answer: B) 21

Explanation:

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Filed Under: Area
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If 5/6th of 7/6th of a number is 140, then 9/4th of that number is

A) 225	B) 87
C) 301	D) 324

A) 225

B) 87

C) 301

D) 324

Answer & Explanation Answer: D) 324

Explanation:

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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

A) Rs.12200

B) Rs.12300

C) Rs.12400

D) Rs.12000

Answer & Explanation Answer: A) Rs.12200

Explanation:

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The sum of present age of father and his son is 60 yrs. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be?