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$∆ A B C$ inscribed in a circle so that BC is a diameter. The tangent at a point C intersects BA when produced at a point D. If $∠ A B C = 36 °$ then the value of $∠ A D C$ is

A) 36°	B) 44°
C) 48°	D) 54°

A) 36°

B) 44°

C) 48°

D) 54°

Answer & Explanation Answer: D) 54°

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Filed Under: Quantitative Aptitude - Arithmetic Ability

If k is the largest possible real number such that $p^{4} + q^{4} = (p^{2} + k p q + q^{2}) (p^{2} - k p q + q^{2}),$ then the value of k is

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

A) 1

B) -2

C) 2

D) 2

Answer & Explanation Answer: D) 2

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Filed Under: Quantitative Aptitude - Arithmetic Ability

If $a + b + c = 15 a n d \frac{1}{a} + \frac{1}{b} + \frac{1}{c} = \frac{71}{a b c},$ then the $a^{3} + b^{3} + c^{3} - 3 a b c$ is

A) 160	B) 180
C) 200	D) 220

A) 160

B) 180

C) 200

D) 220

Answer & Explanation Answer: B) 180

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Filed Under: Quantitative Aptitude - Arithmetic Ability

If $y = 2 s e c θ a n d x = 3 \tan θ t h e n \frac{x^{2}}{9} - \frac{y^{2}}{4}$ is

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

A) 0

B) -1

C) 2

D) 1

Answer & Explanation Answer: B) -1

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Filed Under: Quantitative Aptitude - Arithmetic Ability

If $a^{2} + 1 = 9 a, (a \neq 0)$ then the value of ${(a)}^{2} + \frac{1}{{(a)}^{2}}$ is

A) 81	B) 18
C) 79	D) 83

A) 81

B) 18

C) 79

D) 83

Answer & Explanation Answer: C) 79

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Filed Under: Quantitative Aptitude - Arithmetic Ability

If $x + 5 + \frac{1}{x + 1} = 6$ then the value of ${(x + 1)}^{3} + \frac{1}{(x + 1)}$ ³ is

A) 2	B) 0
C) -2	D) 4

A) 2

B) 0

C) -2

D) 4

Answer & Explanation Answer: A) 2

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Filed Under: Quantitative Aptitude - Arithmetic Ability

What is the value of $\sqrt{729} + \sqrt{72.9} + \sqrt{7.29}$

A) 30.5	B) 32.33
C) 35.6	D) 38.23

A) 30.5

B) 32.33

C) 35.6

D) 38.23

Answer & Explanation Answer: D) 38.23

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Filed Under: Square Roots and Cube Roots

Selling price of a glass is Rs 1965 and loss percentage is 25%. If selling price is Rs 3013, then what will be the profit percentage?

A) 13	B) 10.4
C) 15	D) 20

A) 13

B) 10.4

C) 15

D) 20

Answer & Explanation Answer: C) 15

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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