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Q:

If $x^{2} - 16 x - 59 = 0$ , then what is the value of ${(x - 6)}^{2} + [1 / {(x - 6)}^{2}]$ ?

A) 14	B) 18
C) 16	D) 20

Answer & Explanation Answer: B) 18

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

α and β are the roots of quadratic equation. If α + β = 8 and α – β = 2√5, then which of the following equation will have roots $α^{4} and β^{4}$ ?

A) x2 – 1522x + 14641 = 0	B) x2 + 1921x + 14641 = 0
C) x2– 1764x + 14641 = 0	D) x2+ 2520x + 14641 = 0

Answer & Explanation Answer: A) x2 – 1522x + 14641 = 0

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Filed Under: Simplification
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Q:

Which of the following statement(s) is/are TRUE?

I. √5 + √5 > √7 + √3
II. √6 + √7 > √8 + √5
III. √3 + √9 > √6 + √6

A) Only I	B) Only I and II
C) Only II and III	D) Only I and III

Answer & Explanation Answer: B) Only I and II

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Q:

M is the largest three digit number which when divided by 6 and 5 leaves remainder 5 and 3 respectively. What will be the remainder when M is divided by 11?

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

Answer & Explanation Answer: D) 4

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

Q:

If $A = 2^{32}, B = 2^{31} + 2^{30} + 2^{29} + . . . + 2^{0}$ and $C = 3^{15} + 3^{14} + 3^{13} + . . . + 3^{0}$ , then which of the following option is TRUE?

A) C > B > A	B) C > A > B
C) A > B > C	D) A > C > B

Answer & Explanation Answer: B) C > A > B

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Filed Under: Numbers
Exam Prep: Bank Exams

Q:

Which of the following statement(s) is/are TRUE?

I. 3/71 < 5/91 < 7/99
II. 11/135 > 12/157 > 13/181

A) Only I	B) Only II
C) Both I and II	D) Neither I nor II

Answer & Explanation Answer: C) Both I and II

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Q:

Which of the following statement(s) is/are TRUE?

I . $\frac{1}{1 \times 3} + \frac{1}{3 \times 5} + \frac{1}{5 \times 7} + . . . + \frac{1}{11 \times 13} = \frac{12}{13}$

II. $\frac{1}{1 \times 2} + \frac{1}{2 \times 3} + \frac{1}{3 \times 4} + . . . + \frac{1}{12 \times 13} = \frac{12}{13}$

A) Only I	B) Only II
C) Both I and II	D) Neither I nor II

Answer & Explanation Answer: B) Only II

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Exam Prep: Bank Exams

Q:

Which of the following statement(s) is/are TRUE?

I. √(64) + √(0.0064) + √(0.81) + √(0.0081) = 9.07
II. √(0.010201) + √(98.01) + √(0.25) = 11.51

A) Only I	B) Only II
C) Both I and II	D) Neither I nor II

Answer & Explanation Answer: A) Only I

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Filed Under: Simplification
Exam Prep: Bank Exams

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