Algebra Practice Question and Answer

Q:

Out of the given responses, one of the factors of (a2 – b2 )3 + (b2 – c2) 3 + (c2 – a2) 3 is

329 0

  • 1
    (a + b) (a – b)
    Correct
    Wrong
  • 2
    (a + b) (a + b)
    Correct
    Wrong
  • 3
    (a – b) (a – b)
    Correct
    Wrong
  • 4
    (b – c) (b – c)
    Correct
    Wrong
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Answer : 1. "(a + b) (a – b) "

Q:

if  $${5x-{5\over x}+6=0}$$, then $$x^2+{1\over x^2}$$ is

327 0

  • 1
    $$86\over11$$
    Correct
    Wrong
  • 2
    $$43\over12$$
    Correct
    Wrong
  • 3
    $$86\over25$$
    Correct
    Wrong
  • 4
    $$81\over10$$
    Correct
    Wrong
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Answer : 3. "$$86\over25$$"

Q:

if $$m+{1\over(m-2)}=4$$,then find the value of  $$ (m-2)^2+ \left({{1\over {m-2}}} \right)^2 \ $$

325 0

  • 1
    2
    Correct
    Wrong
  • 2
    0
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    -2
    Correct
    Wrong
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Answer : 1. "2"

Q:

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

321 0

  • 1
    1
    Correct
    Wrong
  • 2
    0
    Correct
    Wrong
  • 3
    –2
    Correct
    Wrong
  • 4
    –1
    Correct
    Wrong
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Answer : 3. "–2 "

Q:

P = 12xy – 10y2 – 18x2,

Q = 14x2 + 12y2 + 9xy, and

R = 5y2 – x+ xy

then (P + Q) – R =

316 0

  • 1
    22xy – 3x2 + 3y2 
    Correct
    Wrong
  • 2
    22xy + 3x2 – 3y
    Correct
    Wrong
  • 3
    20xy – 3x– 3y2
    Correct
    Wrong
  • 4
    20xy – 3x– 3y2
    Correct
    Wrong
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Answer : 4. "20xy – 3x– 3y2"

Q:

If x2 + y2 + z2 = 2 (x + z – 1), then the value of : x3 + y3 + z3 = ?

314 0

  • 1
    2
    Correct
    Wrong
  • 2
    0
    Correct
    Wrong
  • 3
    -1
    Correct
    Wrong
  • 4
    1
    Correct
    Wrong
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Answer : 1. "2"

Q:

If α, β are the roots of 6x2+13x+7=0, then the equation whose roots are α2, β2 is:

309 0

  • 1
    36x2 − 87x + 49 = 0
    Correct
    Wrong
  • 2
    36x− 85x − 49 = 0
    Correct
    Wrong
  • 3
    36x− 85x + 49 = 0
    Correct
    Wrong
  • 4
    36x+ 87x − 49 = 0
    Correct
    Wrong
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Answer : 3. "36x− 85x + 49 = 0"

Q:

If a = 34, b = c = 33, then the value of a3 + b3 + c3 – 3abc is

299 0

  • 1
    0
    Correct
    Wrong
  • 2
    111
    Correct
    Wrong
  • 3
    50
    Correct
    Wrong
  • 4
    100
    Correct
    Wrong
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Answer : 4. "100"

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