Algebra MCQs

Question 1

$$\frac{{m - {a^2}}}{{{b^2} + {c^2}}}$$ + $$\frac{{m - {b^2}}}{{{c^2} + {a^2}}}$$ + $$\frac{{m - {c^2}}}{{{a^2} + {b^2}}}$$ = 3, then the value of m is?

Accepted Answer

a 2 + b 2 + c 2

Answer

a 2 + b 2

Answer

a 2 - b 2 - c 2

Answer

a 2 + b 2 - c 2

Question 2

If x + y + z = 17, xyz = 171 and xy + yz + zx = 111, then the value of $$\root 3 \of {\left( {{x^3} + {y^3} + {z^3} + xyz} \right)} $$ is:

Accepted Answer

-4

Answer

-64

Answer

0

Answer

4

Question 3

If a + b = 5 and ab = 3, then (a 3 + b 3 ) is equal to:

Accepted Answer

80

Answer

70

Answer

75

Answer

65

Question 4

If $$\frac{a}{b} + \frac{b}{a} = 1{	ext{,}}$$ then the value of a 3 + b 3 will be?

Accepted Answer

0

Answer

1

Answer

-1

Answer

2

Question 5

If a 3 - b 3 - c 3 - 3abc = 0, then -

Accepted Answer

a = b + c

Answer

a = b = c

Answer

a + b + c = 0

Answer

a + c = b

Question 6

The graphs of the equations 3x - 20y - 2 = 0 and 11x - 5y + 61 = 0 intersect at P(a, b). What is the value of (a 2 + b 2 - ab)(a 2 - b 2 + ab)?

Accepted Answer

$$\frac{{31}}{{41}}$$

Answer

$$\frac{{37}}{{35}}$$

Answer

$$\frac{5}{7}$$

Answer

$$\frac{{41}}{{31}}$$

Question 7

If $$x + 3y - \frac{{2z}}{4} = 6,\,x + \frac{2}{3}\left( {2y + 3z} \right) = 33$$ and $$\frac{1}{7}$$(x + y + z) + 2z = 9 then what is the value of 46x + 131y?

Accepted Answer

414

Answer

364

Answer

384

Answer

464

Question 8

If $$x + \frac{1}{x} = 2,$$ x ≠ 0, then the value of $${x^2}{	ext{ + }}\frac{1}{{{x^3}}}$$ is equal to?

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 9

If $${x^2} + \frac{1}{{{x^2}}} = 38,$$ then what is the value of $$\left( {x - \frac{1}{x}} \right)?$$

Accepted Answer

6

Answer

9

Answer

5

Answer

4