Algebra Practice Question and Answer

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?

1849 0

  • 1
    793
    Correct
    Wrong
  • 2
    681
    Correct
    Wrong
  • 3
    758
    Correct
    Wrong
  • 4
    715
    Correct
    Wrong
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Answer : 3. "758"

Q:

lf p + m = 6 and p3 + m3 = 72, then the value of pm is: 

1848 0

  • 1
    12
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    6
    Correct
    Wrong
  • 4
    9
    Correct
    Wrong
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Answer : 2. "8 "

Q:

If bc+ab+ca=abc, then the value of $$ {b+c\over {bc(a-1)}}+{a-c\over {ac(b-1)}}+{a+b\over {ab(c-1)}}$$ is

1840 0

  • 1
    2
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    0
    Correct
    Wrong
  • 4
    $$ {-1\over {2}}$$
    Correct
    Wrong
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Answer : 2. "1"

Q:

If for two real constants a and b the expression ax3+3x2-8x+b is exactly divisible by (x+2) and (x-2), then 

1834 0

  • 1
    a = 2, b = -12
    Correct
    Wrong
  • 2
    a = -2, b = 12
    Correct
    Wrong
  • 3
    a = 2, b = 12
    Correct
    Wrong
  • 4
    a = 12, b = 12
    Correct
    Wrong
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Answer : 1. "a = 2, b = -12"

Q:

If (a-b)2 + (b-c)2 + (c-a)2 = 0, then find the value of (a3+b3+c3-3abc) ?

1788 0

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

Q:

x-y=2, xy=24, then the value of (x2+y2) is:

1777 0

  • 1
    52
    Correct
    Wrong
  • 2
    63
    Correct
    Wrong
  • 3
    36
    Correct
    Wrong
  • 4
    25
    Correct
    Wrong
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Answer : 1. "52"

Q:

If a+b=17,and a – b =9, then the value of $$ {(4a^2+4b^2)}$$ is:

1753 0

  • 1
    710
    Correct
    Wrong
  • 2
    720
    Correct
    Wrong
  • 3
    730
    Correct
    Wrong
  • 4
    740
    Correct
    Wrong
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Answer : 4. "740"

Q:

If a-b=10 and ab=-21, then what is the value of a3-b3?

1747 0

  • 1
    316
    Correct
    Wrong
  • 2
    370
    Correct
    Wrong
  • 3
    185
    Correct
    Wrong
  • 4
    158
    Correct
    Wrong
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Answer : 2. "370"

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