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Q:

If x + (1/x) = (√3 + 1)/2, then what is the value of $x^{4} + (1 / x^{4})$ ?

A) (4√3 – 1)/4	B) (4√3 + 1)/2
C) (–4√3 – 1)/4	D) (–4√3 – 1)/2

Answer & Explanation Answer: C) (–4√3 – 1)/4

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

Q:

If x and y are natural numbers such that x + y = 2017, then what is the value of ${(- 1)}^{x} + {(- 1)}^{y}$ ?

A) 2	B) – 2
C) 0	D) 1

Answer & Explanation Answer: C) 0

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If α and β are the roots of the equation $x^{2} + x - 1 = 0$ , then what is the equation whose roots are $α^{5} and β^{5}$ ?

A) x2 + 7x – 1 = 0	B) x2 – 7x – 1 = 0
C) x2 – 11x – 1 = 0	D) x2 + 11x – 1 = 0

Answer & Explanation Answer: D) x2 + 11x – 1 = 0

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

$p^{3} + q^{3} + r^{3} - 3 pqr = 4 . If a = q + r, b = r + p and c = p + q, then what is the value of a 3 + b 3 + c 3 - 3 abc ?$

A) 4	B) 8
C) 2	D) 12

Answer & Explanation Answer: B) 8

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If $(1 + \frac{1}{2}) (1 + \frac{1}{4}) (1 + \frac{1}{6}) (1 + \frac{1}{8}) (1 - \frac{1}{3}) (1 - \frac{1}{5}) (1 - \frac{1}{7}) = 1 + \frac{1}{x}$ , then what is the value of x?

A) 6	B) 8
C) 5	D) 7

Answer & Explanation Answer: B) 8

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If $\frac{1}{1 + \frac{1}{1 + \frac{1}{1 + \frac{1}{x}}}}$ = $\frac{5}{8}$ , then what is the value of x?

A) 2	B) 3
C) 1	D) 4

Answer & Explanation Answer: A) 2

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If N = 1 + 11 + 111 + 1111 + ... +111111111, then what is the sum of the digit's of N?

A) 45	B) 18
C) 36	D) 5

Answer & Explanation Answer: A) 45

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Filed Under: Numbers
Exam Prep: Bank Exams

Q:

What is the rate of interest (in %) if simple interest earned on a certain sum for the 3 years is Rs 6,000 and compound interest earned for 2 years is Rs 4,160?

A) 9	B) 8
C) 12	D) 6

Answer & Explanation Answer: B) 8

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Filed Under: Simple Interest
Exam Prep: Bank Exams

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