Free Practice Questions for Competitive Exams, Interviews, Certifications

Q:

If a + b = 10 and $\sqrt{\frac{a}{b}} - 13 = - \sqrt{\frac{b}{a}} - 11$ , then what is the value of $3 ab + 4 a^{2} + 5 b^{2}$ ?

A) 450	B) 300
C) 600	D) 750

Answer & Explanation Answer: B) 300

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Filed Under: Simplification
Exam Prep: Bank Exams

0 635

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

4 1179

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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Exam Prep: Bank Exams

0 609

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

0 580

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

0 780

Q:

If α and β are the roots of equation x2 – 2x + 4 = 0, then what is the equation whose roots are α3/β2 and β3/α2?

A) x2 – 4 x + 8 = 0	B) x2 – 32 x + 4 = 0
C) x2 – 2 x + 4 = 0	D) x2 – 16 x + 4 = 0

Answer & Explanation Answer: C) x2 – 2 x + 4 = 0

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Filed Under: Simplification
Exam Prep: Bank Exams

0 803

Q:

If (x + y)/z = 2, then what is the value of [y/(y – z)] + [x/(x – z)]?

A) 0	B) 1
C) 2	D) – 1

Answer & Explanation Answer: C) 2

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Filed Under: Simplification
Exam Prep: Bank Exams

0 534

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

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