Algebra Question with answer 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

1139 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 x+y =3 and $${1\over x}+{1\over y}= -{3\over 10}$$ then the value of (x2+y2) is :

1138 0

  • 1
    29
    Correct
    Wrong
  • 2
    28
    Correct
    Wrong
  • 3
    26
    Correct
    Wrong
  • 4
    34
    Correct
    Wrong
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Answer : 1. "29"

Q:

If x+y+z=10, x2+y2+z2=30, then the value of x3+y3+z3-3xyz is _________.

1133 0

  • 1
    −10
    Correct
    Wrong
  • 2
    −70
    Correct
    Wrong
  • 3
    −50
    Correct
    Wrong
  • 4
    −30
    Correct
    Wrong
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Answer : 3. "−50"

Q:

If x + y + 3 = 0 , then find the value of x3+y3-9xy+9.

1125 0

  • 1
    18
    Correct
    Wrong
  • 2
    36
    Correct
    Wrong
  • 3
    -36
    Correct
    Wrong
  • 4
    -18
    Correct
    Wrong
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Answer : 4. "-18 "

Q:

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

1124 0

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

Q:

If (x + y)3 +8 (x - y)3 = (3x+ Ay)(3x2+ Bxy+ Cy2), then the value of A+B+C is:

1116 0

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

Q:

If 9x2 + y2 = 37 and xy = 2, x, y>0, then the value of (27x3+ y3) is:

1116 0

  • 1
    301
    Correct
    Wrong
  • 2
    217
    Correct
    Wrong
  • 3
    207
    Correct
    Wrong
  • 4
    259
    Correct
    Wrong
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Answer : 2. "217"

Q:

If a ≠ b, then which of the following statement is true ?

1115 0

  • 1
    $${a+b\over 2}= \sqrt{ab} $$
    Correct
    Wrong
  • 2
    $${a+b\over 2}> \sqrt{ab} $$
    Correct
    Wrong
  • 3
    $${a+b\over 2}< \sqrt{ab} $$
    Correct
    Wrong
  • 4
    All of the above
    Correct
    Wrong
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Answer : 2. "$${a+b\over 2}> \sqrt{ab} $$"

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