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If $x^{2} + y^{2} + z^{2} - 8 x + 6 y - 4 z + 29 = 0$ , then find the value of z(x+y).

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

A) 1

B) 2

C) 3

D) 4

Answer & Explanation Answer: B) 2

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Filed Under: Simplification
Exam Prep: Bank Exams

If u+v = 10 and uv = 16, then find the value of $\frac{u^{2} - v^{2}}{uv}$

A) 0	B) 15/8
C) 15/4	D) 15/2

A) 0

B) 15/8

C) 15/4

D) 15/2

Answer & Explanation Answer: C) 15/4

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Filed Under: Simplification
Exam Prep: Bank Exams

$∆ XYZ is right angled at Y . If m ∠ Z = 60 °, then find the value of (cotX - 1 / 3) .$

A) (3√3-1)/3	B) (2√3-√6)/2√2
C) -5/3	D) (2-√3)/2√3

A) (3√3-1)/3

B) (2√3-√6)/2√2

C) -5/3

D) (2-√3)/2√3

Answer & Explanation Answer: A) (3√3-1)/3

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Filed Under: Area
Exam Prep: Bank Exams

Determine the value of ${(y - \frac{1}{y})}^{2}$ when $y^{4} + \frac{1}{y^{4}} = 34$

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

A) 1

B) 2

C) 3

D) 4

Answer & Explanation Answer: D) 4

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Filed Under: Simplification
Exam Prep: Bank Exams

What is the value of $x^{4} + y^{4}$ when the value of $x^{3} + y^{3} = 8 and x + y = 2$ ?

A) 2	B) 8
C) 16	D) 32

A) 2

B) 8

C) 16

D) 32

Answer & Explanation Answer: C) 16

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Filed Under: Simplification
Exam Prep: Bank Exams

What is the simplified value of $2 \sqrt[3]{243} + 3 \sqrt[3]{9} - \sqrt[3]{1125}$ ?

A) 593	B) 493
C) 793	D) 1193

A) 593

B) 493

C) 793

D) 1193

Answer & Explanation Answer: A) 593

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Filed Under: Simplification
Exam Prep: Bank Exams

If u : v = v : w, then what is the value of $u^{4} : v^{4}$ ?

A) u2 : wv	B) u2 : w2
C) u2 v : w3	D) u : w

A) u2 : wv

B) u2 : w2

C) u2 v : w3

D) u : w

Answer & Explanation Answer: B) u2 : w2

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Filed Under: Simplification
Exam Prep: Bank Exams

If $\frac{- 5 x}{3} + 2 = x - 6$ , then find the value of x?

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

A) 1

B) 2

C) 3

D) 4

Answer & Explanation Answer: C) 3

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Filed Under: Simplification
Exam Prep: Bank Exams

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