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If $cotθ = 4$ , then the value of $\frac{5 sinθ + 3 cosθ}{5 sinθ - 3 cosθ}$ is

A) 1/9	B) 1/3
C) 3	D) 9

A) 1/9

B) 1/3

C) 3

D) 9

Answer & Explanation Answer: D) 9

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Filed Under: Simplification
Exam Prep: Bank Exams

Let O be the orthocentre of the triangle ABC. If ∠BOC = 150°, Then ∠BAC is

A) 30°	B) 60°
C) 90°	D) 120°

A) 30°

B) 60°

C) 90°

D) 120°

Answer & Explanation Answer: A) 30°

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Filed Under: Area
Exam Prep: Bank Exams

If the difference between the measures of the two smaller angles of a right angled triangle is 8°, then the smallest angle is

A) 37°	B) 41°
C) 42°	D) 49°

A) 37°

B) 41°

C) 42°

D) 49°

Answer & Explanation Answer: B) 41°

Explanation:

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

If $\frac{3 a + 4 b}{3 c + 4 d} = \frac{3 a - 4 b}{3 c - 4 d}$ , then

A) ab = cd	B) ad = bc
C) ac = bd	D) a = b = c ≠ d

A) ab = cd

B) ad = bc

C) ac = bd

D) a = b = c ≠ d

Answer & Explanation Answer: B) ad = bc

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Filed Under: Simplification
Exam Prep: Bank Exams

If $P + \frac{1}{P + 2} = 1,$ then the value of ${(P + 2)}^{3} + \frac{1}{{(P + 2)}^{3}} - 3$ ?

A) 12	B) 16
C) 18	D) 15

A) 12

B) 16

C) 18

D) 15

Answer & Explanation Answer: D) 15

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Filed Under: Simplification
Exam Prep: Bank Exams

If xy (x + y) = m, then the value of $x^{3} + y^{3} + 3 m$ is:

A) m3xy	B) m3x+y3
C) m3x3y3	D) mx3y3

A) m3xy

B) m3x+y3

C) m3x3y3

D) mx3y3

Answer & Explanation Answer: D) mx3y3

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Filed Under: Simplification
Exam Prep: Bank Exams

If $x = 3^{\frac{1}{3}} - 3^{\frac{- 1}{3}}, then 3 x^{3} + 9 x$ value is

A) 8	B) 9
C) 27	D) 16

A) 8

B) 9

C) 27

D) 16

Answer & Explanation Answer: A) 8

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Filed Under: Simplification
Exam Prep: Bank Exams

If A's salary is 40% less than that of B, then how much percent is B's salary more than that of A?

A) 33 1⁄3	B) 66 2⁄3
C) 33 2⁄3	D) 66 1⁄3

A) 33 1⁄3

B) 66 2⁄3

C) 33 2⁄3

D) 66 1⁄3

Answer & Explanation Answer: B) 66 2⁄3

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Filed Under: Percentage
Exam Prep: Bank Exams

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