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Q:

If $\sqrt[3]{\frac{1 - a}{a}} + 9 = 19 - \sqrt[3]{\frac{a}{1 - a}}$ , then what is the value of a?

A) 3/10, 7/10	B) 1/10, 9/10
C) 2/5, 3/5	D) 1/5, 4/5

Answer & Explanation Answer: B) 1/10, 9/10

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Filed Under: Square Roots and Cube Roots
Exam Prep: Bank Exams

Q:

If $a^{4} + 1 = [a^{2} / b^{2}] (4 b^{2} - b^{4} - 1)$ , then what is the value of $a^{4} + b^{4}$ ?

A) 2	B) 16
C) 32	D) 64

Answer & Explanation Answer: A) 2

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If $x^{2} - 12 x + 33 = 0$ , then what is the value of ${(x - 4)}^{2} + [1 / {(x - 4)}^{2}]$ ?

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

Answer & Explanation Answer: B) 14

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If one root of the equation ${Ax}^{2} + Bx + C = 0$ is two and a half times the others, then which of the following is TRUE?

A) 7B2 = 3 CA	B) 7B2 = 4 CA
C) 7B2 = 36 CA	D) 10B2 = 49 CA

Answer & Explanation Answer: D) 10B2 = 49 CA

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If x + y + z = 22 and xy + yz + zx = 35, then what is the value of ${(x - y)}^{2} + {(y - z)}^{2} + {(z - x)}^{2}$ ?

A) 793	B) 681
C) 758	D) 715

Answer & Explanation Answer: C) 758

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

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

$I . \sqrt{12} > \sqrt[3]{16} > \sqrt[4]{24} II . \sqrt[3]{25} > \sqrt[4]{32} > \sqrt[6]{48} III . \sqrt[4]{9} > \sqrt[3]{15} > \sqrt[6]{24}$

A) Only I and II	B) Only I and III
C) Only I	D) All are true.

Answer & Explanation Answer: A) Only I and II

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

Which of the following statements is/are TRUE?

$I . \frac{2}{3 \sqrt{5}} < \frac{3}{2 \sqrt{5}} < \frac{5}{4 \sqrt{3}} II . \frac{3}{2 \sqrt{5}} < \frac{2}{3 \sqrt{3}} < \frac{7}{4 \sqrt{5}}$

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: Verification of Truth of the statement
Exam Prep: Bank Exams

Q:

Which of the following statements is/are true?

$I . 11 \frac{1}{2} + 17 \frac{3}{4} - 5 \frac{1}{5} - 2 \frac{1}{10} = \frac{439}{20} II . \frac{9}{1078} > \frac{11}{1127} > \frac{12}{1219} III . \frac{149}{151} > \frac{153}{155} > \frac{157}{159}$

A) Only I	B) Only II
C) Only III	D) None is true.

Answer & Explanation Answer: A) Only I

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Filed Under: Simplification
Exam Prep: Bank Exams

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