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Q:

What is the simplified value of $(\cos^{4} A - \sin^{4} A)$ ?

A) 0	B) 2 cos2 A
C) cos2A	D) 1

Answer & Explanation Answer: C) cos2A

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

What is the simplified value of $\sec^{6} A - \tan^{6} A - 3 \sec^{2} A \tan^{2} A$ ?

A) -1	B) 0
C) 1	D) sec A tan A

Answer & Explanation Answer: C) 1

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Q:

If x – (1/x) = 3, then what is the value of $(2 x^{4} + 3 x^{3} + 13 x^{2} - 3 x + 2) / (3 x^{4} + 3)$ ?

A) 1/3	B) 2/3
C) 4/3	D) 5/3

Answer & Explanation Answer: C) 4/3

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Q:

If $x^{2} + (1 / x^{2}) = 31 / 9$ and x > 0, then what is the value of $x^{3} + (1 / x^{3})$ ?

A) 70/9	B) 154/27
C) 349/27	D) 349/7

Answer & Explanation Answer: B) 154/27

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Q:

If a = 73, b = 74 and c = 75, then what is the value of $a^{3} + b^{3} + c^{3} - 3 abc$ ?

A) 365	B) 444
C) 666	D) 999

Answer & Explanation Answer: C) 666

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Filed Under: Simplification
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Q:

Which one of the following is not a type of coal?

A) Anthracite	B) Lignite
C) Peat	D) Siderite

Answer & Explanation Answer: D) Siderite

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Filed Under: General Science
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Q:

Which act ended the "Trade Monopoly" of the East India Company?

A) Regulating Act of 1773	B) Pitt's India Act of 1784
C) The Charter Act of 1833	D) The Charter Act of 1813

Answer & Explanation Answer: D) The Charter Act of 1813

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Filed Under: Indian History
Exam Prep: Bank Exams

Q:

In each of the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion
logically follows the given statements.

Statements:
I. Some girls are clever.
II. All clever are hardworking.

Conclusions:
I. Some girls are not hardworking.
II. Some girls are hardworking.
III. Some hardworking are not girls.

A) Only conclusion (I) and (II) follow.	B) Only conclusion (II) follows.
C) Only conclusion (I) and (III) follow.	D) All conclusions follow.

Answer & Explanation Answer: B) Only conclusion (II) follows.

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Filed Under: Statement and Conclusions
Exam Prep: Bank Exams

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