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Q:

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

Answer & Explanation Answer: D) a2

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

The value of $\sec^{2} 17 ° - \frac{1}{\tan^{2} 73 °} - \sin 17 ° \sec 73 °$

A) 1	B) 0
C) -1	D) 2

Answer & Explanation Answer: B) 0

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Filed Under: Simplification
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Q:

In an isosceles triangle ABC, AB = AC, XY || BC. If $∡ A = 30, then ∡ BXY =$

A) 75°	B) 30°
C) 150°	D) 105°

Answer & Explanation Answer: D) 105°

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

Q:

If $\frac{x}{a + b} + 1 = \frac{x}{a - b} + \frac{a - b}{a + b}$ , then x is equal to

A) 2a-b	B) a+b
C) a-b	D) 2a+b

Answer & Explanation Answer: C) a-b

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If a-b=1 and $a^{3} - b^{3} = 61$ , then the value of ab will be

A) -20	B) 20
C) 30	D) 60

Answer & Explanation Answer: B) 20

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Filed Under: Simplification
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Q:

If p = 99, then the value of $p (p^{2} + 3 p + 3)$ will be

A) 999999	B) 1000000
C) 1000001	D) 999998

Answer & Explanation Answer: A) 999999

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Filed Under: Simplification
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Q:

If θ is positive acute angle and $4 \sin^{2} θ = 3$ , then the value of tan θ - cot θ/2 is

A) 1	B) 0
C) √3	D) 1/√3

Answer & Explanation Answer: B) 0

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Filed Under: Simplification
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Q:

A sentence/a part of the sentence is underlined. Four alternatives are given to the underlined part which will improve the sentence. Choose the correct alternative and click the button corresponding to it. In case no improvement is needed, click the button corresponding to "No improvement".

He was so much a coward to help his friend.

A) so much cowardly	B) too much of a coward
C) as coward	D) No improvement

Answer & Explanation Answer: B) too much of a coward

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Filed Under: English
Exam Prep: Bank Exams

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