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$∆ ABC$ is right angled at B. BD is an altitude. AD = 4 cm and DC = 9 cm. What is the value of BD (in cm)?

A) 5	B) 4.5
C) 5.5	D) 6

A) 5

B) 4.5

C) 5.5

D) 6

Answer & Explanation Answer: D) 6

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

If a + b = 8 and ab = 15, then what is the value of $a^{3} + b^{3} ?$

A) 98	B) 152
C) 124	D) 260

A) 98

B) 152

C) 124

D) 260

Answer & Explanation Answer: B) 152

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Filed Under: Simplification
Exam Prep: Bank Exams

What is the value of $Sin 30 ° + 2 Cos 30 ° ?$

A) (2√2 + 3)/√6	B) (9 + 2√3)/9
C) (1 + 2√3)/2	D) (2√6 + 1)/√3

A) (2√2 + 3)/√6

B) (9 + 2√3)/9

C) (1 + 2√3)/2

D) (2√6 + 1)/√3

Answer & Explanation Answer: C) (1 + 2√3)/2

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Filed Under: Simplification
Exam Prep: Bank Exams

If a - b = 10 and ab =-21, then what is the value of $a^{3} - b^{3} ?$

A) 316	B) 370
C) 185	D) 158

A) 316

B) 370

C) 185

D) 158

Answer & Explanation Answer: B) 370

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Filed Under: Simplification
Exam Prep: Bank Exams

If a, b and c are positive integers such that $\frac{1}{a + \frac{1}{b + \frac{1}{c + \frac{1}{2}}}} = \frac{16}{23}$ , then what is the mean of a, b and c?

A) 1	B) 2
C) 1.33	D) 2.33

A) 1

B) 2

C) 1.33

D) 2.33

Answer & Explanation Answer: B) 2

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

It is given that log10 2= 0.301 and log10 3 = 0.477. How many digits are there in ${(108)}^{10}$ ?

A) 19	B) 20
C) 21	D) 22

A) 19

B) 20

C) 21

D) 22

Answer & Explanation Answer: C) 21

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Filed Under: Logarithms
Exam Prep: Bank Exams

Which of the following pair of numbers is the solution of the equation $3^{x + 2} + 3^{- x} = 10$ ?

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

A) 0, 2

B) 0, -2

C) 1, -1

D) 1, 2

Answer & Explanation Answer: B) 0, -2

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Filed Under: Simplification
Exam Prep: Bank Exams

For x > 0, what is the minimum value of $x + \frac{x + 2}{2 x}$ ?

A) 1	B) 2
C) 2.5	D) 1.5

A) 1

B) 2

C) 2.5

D) 1.5

Answer & Explanation Answer: C) 2.5

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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