Algebra MCQs

Question 1

If the equation 2x 2 - 7x + 12 = 0 has two roots $$\alpha$$ and $$\beta$$, then the value of $$\frac{\alpha }{\beta }{	ext{ + }}\frac{\beta }{\alpha }\,{	ext{is?}}$$

Accepted Answer

$$\frac{1}{{24}}$$

Answer

$$\frac{7}{2}$$

Answer

$$\frac{7}{{24}}$$

Answer

$$\frac{{97}}{{24}}$$

Question 2

If (a + 4) 3 = a 3 + 12a 2 + ka + 64, then what is the value of k?

Accepted Answer

48

Answer

45

Answer

46

Answer

47

Question 3

If xy(x + y) = m, then the value of x 3 + y 3 + 3m is?

Accepted Answer

$$\frac{{{m^3}}}{{{x^3}{y^3}}}$$

Answer

$$\frac{{{m^3}}}{{xy}}$$

Answer

$$\frac{{{m^3}}}{{{{\left( {x + y} \right)}^2}}}$$

Answer

$$\frac{m}{{{x^3}{y^3}}}$$

Question 4

If $$\frac{1}{{\root 3 \of 4 + \root 3 \of 2 + 1}}$$ = $$a\root 3 \of 4 $$ + $$b\root 3 \of 2 $$ + c and a, b, c are rational numbers then a + b + c is equal to?

Accepted Answer

0

Answer

1

Answer

2

Answer

3

Question 5

If x = -1, then the value of $$\frac{1}{{{x^{99}}}}$$ + $$\frac{1}{{{x^{98}}}}$$ + $$\frac{1}{{{x^{97}}}}$$ + $$\frac{1}{{{x^{96}}}}$$ + $$\frac{1}{{{x^{95}}}}$$ + $$\frac{1}{{{x^{94}}}}$$ + $$\frac{1}{x}$$ - 1 is?

Accepted Answer

-2

Answer

1

Answer

0

Answer

1

Question 6

If $$\frac{1}{{{x^2} + {a^2}}} = {x^2} - {a^2},$$ then the value of x is:

Accepted Answer

$${\left( {{a^4} + 1} \right)^{\frac{1}{4}}}$$

Answer

$${\left( {1 - {a^4}} \right)^{\frac{1}{4}}}$$

Answer

$$a$$

Answer

$${\left( {{a^4} - 1} \right)^{\frac{1}{4}}}$$

Question 7

If x 4 - 83x 2 + 1 = 0, then a value of x 3 - x -3 can be:

Accepted Answer

756

Answer

758

Answer

739

Answer

737

Question 8

If x - y = 2, xy = 24, then the value of (x 2 + y 2 ) is?

Accepted Answer

52

Answer

25

Answer

36

Answer

63

Question 9

If a ⊕ b = (a × b) + b, then 5 ⊕ 7 equals to?

Accepted Answer

42

Answer

12

Answer

35

Answer

50