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What is the value of $\tan 1 ° \tan 2 ° \tan 3 ° . . . . . . . \tan 89 °$ ?

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

A) 0

B) 1

C) 2

D) infinity

Answer & Explanation Answer: B) 1

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Filed Under: Simplification
Exam Prep: Bank Exams

If $a^{x} = b^{y} = c^{z}$ and $b^{2} = ac$ , then what is $\frac{1}{x} + \frac{1}{z}$ equal to ?

A) 1/y	B) -1/y
C) 2/y	D) -2/y

A) 1/y

B) -1/y

C) 2/y

D) -2/y

Answer & Explanation Answer: C) 2/y

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Filed Under: Simplification
Exam Prep: Bank Exams

What is $\frac{{(x - y)}^{3} + {(y - 2)}^{3} + {(z - x)}^{3}}{3 (x - y) (y - z) (z - x)}$ =?

A) 1	B) 0
C) 1/3	D) 3

A) 1

B) 0

C) 1/3

D) 3

Answer & Explanation Answer: A) 1

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Filed Under: Simplification
Exam Prep: Bank Exams

What is the value $\frac{3}{2} (\frac{\cos 39}{\sin 51}) - \sqrt{\sin^{2} 39 + \sin^{2} 51}$

A) 1/2	B) 5/2
C) 0	D) Both 1/2 and 5/2

A) 1/2

B) 5/2

C) 0

D) Both 1/2 and 5/2

Answer & Explanation Answer: D) Both 1/2 and 5/2

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Filed Under: Simplification
Exam Prep: Bank Exams

If ${cosec}^{2} θ = 625 / 576$ , then what is the value of [(sin θ – cos θ)/(sin θ + cos θ)]?

A) 1	B) 31/17
C) 17/31	D) 14/25

A) 1

B) 31/17

C) 17/31

D) 14/25

Answer & Explanation Answer: C) 17/31

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Filed Under: Simplification
Exam Prep: Bank Exams

In the figure, a circle touches quadrilateral ABCD. If AB = 2x + 3, BC = 3x - 1, CD = x + 6 and DA = x + 4, then what is the value of x?

A) 3	B) 4.5
C) 6	D) 6.5

A) 3

B) 4.5

C) 6

D) 6.5

Answer & Explanation Answer: C) 6

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

In the figure $∠ AMB = 130 °$ , then what is the value (in deg) of $∠ ABQ$ ?

A) 40	B) 50
C) 60	D) 90

A) 40

B) 50

C) 60

D) 90

Answer & Explanation Answer: B) 50

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

If x - 1/x = 1 then what is the value of $\frac{1}{x} (\frac{1}{x - 1} - \frac{1}{x + 1} + \frac{1}{x^{2} + 1} - \frac{1}{x^{2} - 1}) ?$

A) ±√5	B) 2/5
C) ±2/√5	D) ±√5/2

A) ±√5

B) 2/5

C) ±2/√5

D) ±√5/2

Answer & Explanation Answer: C) ±2/√5

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Filed Under: Simplification
Exam Prep: Bank Exams

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