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Q:

If $5 \sin^{2} θ + 4 \cos^{2} θ = 9 / 2$ and 0 <θ<Π/2 then tanθ is equal to?

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

Answer & Explanation Answer: A) 1

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

From the top of a tower 60 mts high the angle of depression of the top and bottom of a pole are observed to be 45° and 60° respectively. If the pole and tower stand on the same plane, the height of the pole in meters is

A) 60(√31)	B) 20(√31)
C) 20(3√3)	D) 20(√3+1)

Answer & Explanation Answer: C) 20(3√3)

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Filed Under: Height and Distance
Exam Prep: Bank Exams

Q:

If Rs. 10000 amounts to Rs. 11664 invested in compound interest(compounded annually) for two years then the annual rate of compound interest is

A) 10%	B) 9%
C) 8%	D) 6%

Answer & Explanation Answer: C) 8%

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Filed Under: Compound Interest
Exam Prep: Bank Exams

Q:

In $∆ ABC$ two medians BE and CF intersects at the point O and P,Q are the midpoints of BO and CO respectively. If the length of PQ=3cm, then the length of FE will be

A) 3 cm	B) 6 cm
C) 9 cm	D) 12 cm

Answer & Explanation Answer: A) 3 cm

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

Q:

If x+1/x = 2, then the value of $x^{7} + 2 / x^{6}$ is equal to?

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

Answer & Explanation Answer: D) 3

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If a+b=3 then the value of $a^{3} + b^{3} + 9 ab - 27$ is

A) 24	B) 25
C) 0	D) 27

Answer & Explanation Answer: C) 0

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If the average age of four children is 12 years and the average age of these children and their fathers is 20 years, what is the age of the father?

A) 52 years	B) 48 years
C) 62 years	D) 54 years

Answer & Explanation Answer: A) 52 years

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

Q:

If $sinA + \sin^{2} A = 1$ then what is the value of $\cos^{2} A + \cos^{4} A$ ?

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

Answer & Explanation Answer: A) 1

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Filed Under: Simplification
Exam Prep: Bank Exams

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