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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 CROWNED is coded as APMULCB, then how will TAP be coded as?

A) WNT	B) TYL
C) RYN	D) XAV

A) WNT

B) TYL

C) RYN

D) XAV

Answer & Explanation Answer: C) RYN

Explanation:

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Filed Under: Coding and Decoding
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

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Filed Under: Simplification
Exam Prep: Bank Exams

If a : b = c : d = 1 : 6, then what is the value of $\frac{a^{2} + c^{2}}{b^{2} + d^{2}}$ ?

A) 1/600	B) 1/60
C) 1/36	D) 1/360

A) 1/600

B) 1/60

C) 1/36

D) 1/360

Answer & Explanation Answer: C) 1/36

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Filed Under: Simplification
Exam Prep: Bank Exams

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