Lakshya Education MCQs

Question: If $$x + \frac{1}{x} = 3{\text{,}}$$   then the value of $$\frac{{{x^3} + \frac{1}{x}}}{{{x^2} - x + 1}}\,{\text{is?}}$$
Options:
A.$$\frac{3}{2}$$
B.$$\frac{5}{2}$$
C.$$\frac{7}{2}$$
D.$$\frac{{11}}{2}$$
Answer: Option C

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More Questions on This Topic :

Question 1. If $$a + \frac{1}{a} + 1 = 0\left( {a \ne 0} \right){\text{,}}$$     then the value of $$\left( {{a^4} - a} \right)\,{\text{is?}}$$
Question 2. If $$x = a + \frac{1}{a}$$   and $$y = a - \frac{1}{a},$$   then the value of x4 + y4 - 2x2y2 is?
  1.    24
  2.    18
  3.    16
  4.    12
Answer: Option C
Question 3. If p = 101, then the value of $$\root 3 \of {p\left( {{p^2} - 3p + 3} \right) - 1} $$     is?
  1.    100
  2.    101
  3.    102
  4.    1000
Answer: Option A
Question 4. If $$x + \frac{9}{x} = 6{\text{,}}$$   then $$\left( {{x^2} + \frac{9}{{{x^2}}}} \right)$$   is equal to?
  1.    8
  2.    9
  3.    10
  4.    12
Answer: Option C
Question 5. If $$x = 5 + 2\sqrt 6 {\text{,}}$$    then the value of $$\left( {\sqrt x + \frac{1}{{\sqrt x }}} \right)\,{\text{is?}}$$
  1.    $${\text{2}}\sqrt 2 $$
  2.    $${\text{3}}\sqrt 2 $$
  3.    $${\text{2}}\sqrt 3 $$
  4.    $${\text{3}}\sqrt 3 $$
Answer: Option C
Question 6. If $$x = 3 + \sqrt 8 {\text{,}}$$   then $${x^2} + \frac{1}{{{x^2}}}$$   is equal to?
  1.    38
  2.    36
  3.    34
  4.    30
Answer: Option C

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