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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

The circular measure of the included angle formed by the hour hand and minute hand of a clock at 3 PM will be

A) π4	B) π3
C) 5π12	D) π2

A) π4

B) π3

C) 5π12

D) π2

Answer & Explanation Answer: D) π2

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Filed Under: Clocks
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

The simple interest on a certain sum of money at the rate of 5% per annum for 8 years is Rs. 840 . Rate of interest for which the same amount of interest can be received on the same sum after 5 years is

A) 7%	B) 8%
C) 9%	D) 10%

A) 7%

B) 8%

C) 9%

D) 10%

Answer & Explanation Answer: B) 8%

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Filed Under: Simple Interest
Exam Prep: Bank Exams

A man goes to a place on bicycle at speed of 16 km/hr and comes back at lower speed . If the average speed is 6.4 km/hr in total , then the return speed (in km/hr) is

A) 10	B) 8
C) 6	D) 4

A) 10

B) 8

C) 6

D) 4

Answer & Explanation Answer: D) 4

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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