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If x + y = 10 and $x^{2} + y^{2} = 68$ , then find xy

A) 21	B) 24
C) 25	D) 16

A) 21

B) 24

C) 25

D) 16

Answer & Explanation Answer: D) 16

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Filed Under: Simplification
Exam Prep: Bank Exams

$∆$ XYZ is right angled at Y. If tanX = 15/8, then what is the value of sinZ ?

A) 15/17	B) 17/8
C) 17/15	D) 8/17

A) 15/17

B) 17/8

C) 17/15

D) 8/17

Answer & Explanation Answer: D) 8/17

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Filed Under: Simplification
Exam Prep: Bank Exams

What is the value of the expression $a^{3} - 5 + \frac{28}{16 a}$ , when a = 2?

A) 2	B) 5
C) 7	D) 8

A) 2

B) 5

C) 7

D) 8

Answer & Explanation Answer: C) 7

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Filed Under: Simplification
Exam Prep: Bank Exams

What is the value of $[(\sec 2 θ + 1) \sqrt{\sec^{2} θ - 1}] x \frac{1}{2} (cotθ - tanθ)$ ?

A) 0	B) 1
C) cosec θ	D) sec θ

A) 0

B) 1

C) cosec θ

D) sec θ

Answer & Explanation Answer: B) 1

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What is the value of $[(\sin 59 ° \cos 31 ° + \cos 59 ° \sin 31 °) \div (\cos 20 ° \cos 25 ° - \sin 20 ° \sin 25 °)] ?$

A) 1/√2	B) 2√2
C) √3	D) √2

A) 1/√2

B) 2√2

C) √3

D) √2

Answer & Explanation Answer: D) √2

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Filed Under: Simplification
Exam Prep: Bank Exams

What is the value of $\tan (\frac{π}{4} + A) \times \tan (\frac{3 π}{4} + A) ?$

A) 1	B) 0
C) cot A/2	D) – 1

A) 1

B) 0

C) cot A/2

D) – 1

Answer & Explanation Answer: D) – 1

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Filed Under: Simplification
Exam Prep: Bank Exams

What is the value of $[(\cos^{3} 2 θ + 3 \cos 2 θ) \div (\cos^{6} θ - \sin^{6} θ)]$ ?

A) 0	B) 1
C) 2	D) 4

A) 0

B) 1

C) 2

D) 4

Answer & Explanation Answer: D) 4

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Filed Under: Simplification
Exam Prep: Bank Exams

$A = (x^{8} - 1) / (x^{4} + 1) and B = (y^{4} - 1) / (y^{2} + 1) .$ If x = 2 and y = 9, then what is the value of $A^{2} + 2 AB + {AB}^{2} ?$

A) 96475	B) 98625
C) 92425	D) 89125

A) 96475

B) 98625

C) 92425

D) 89125

Answer & Explanation Answer: B) 98625

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Filed Under: Simplification
Exam Prep: Bank Exams

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