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If $Sin 31^{°} = \frac{x}{y}$ , then the value of Sec 31° - Sin 59° is

A) x2yy2-x2	B) -x2yy2-x2
C) -y2y2-x2	D) x

A) x2yy2-x2

B) -x2yy2-x2

C) -y2y2-x2

D) x

Answer & Explanation Answer: A) x2yy2-x2

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Filed Under: Simplification
Exam Prep: Bank Exams

O is the centre of a circle and AB is the tangent to it touching at B . If OB = 3 cm. and OA = 5 cm , then the measure of AB in cm

A) √34	B) 2
C) 8	D) 4

A) √34

B) 2

C) 8

D) 4

Answer & Explanation Answer: D) 4

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

If $x = \sqrt{3} + \frac{1}{\sqrt{3}}$ , then the value of $(x - \frac{\sqrt{126}}{\sqrt{42}}) (x - \frac{1}{x - \frac{2 \sqrt{3}}{3}})$ is

A) √3/6	B) 2√3/6
C) 5/6	D) 2/3

A) √3/6

B) 2√3/6

C) 5/6

D) 2/3

Answer & Explanation Answer: C) 5/6

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Filed Under: Simplification
Exam Prep: Bank Exams

If √x - √y = 1 , √x + √y = 17 then √xy = ?

A) √72	B) 72
C) 32	D) 24

A) √72

B) 72

C) 32

D) 24

Answer & Explanation Answer: B) 72

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Filed Under: Simplification
Exam Prep: Bank Exams

BE and CF are two altitudes of a triangle ABC. If AB = 6 cm , AC = 5 cm and CF = 4 cm , then the length of BE is

A) 4.8 cm	B) 7.5 cm
C) 3.33 cm	D) 5.5 cm

A) 4.8 cm

B) 7.5 cm

C) 3.33 cm

D) 5.5 cm

Answer & Explanation Answer: A) 4.8 cm

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

O is the orthocentre of $∆ ABC$ , and if ∠BOC = 110° then ∠BAC will be

A) 110°	B) 70°
C) 100°	D) 90°

A) 110°

B) 70°

C) 100°

D) 90°

Answer & Explanation Answer: B) 70°

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

If $2 x + \frac{1}{4 x} = 1$ , then the value of $x^{2} + \frac{1}{64 x^{2}}$ is

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

A) 0

B) 1

C) 1/4

D) 2

Answer & Explanation Answer: A) 0

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Filed Under: Simplification
Exam Prep: Bank Exams

If $C + \frac{1}{C} = 3$ , then what is the value of ${(C - 3)}^{7} + \frac{1}{C^{7}}$ ?

A) 2	B) 0
C) 3	D) 1

A) 2

B) 0

C) 3

D) 1

Answer & Explanation Answer: B) 0

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Filed Under: Simplification
Exam Prep: Bank Exams

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