Algebra Question with answer Practice Question and Answer

Q:

If p, q, r are all real numbers, then (p – q)3 + (q – r)3 + (r – p)3 is equal to 

643 0

  • 1
    (p – q) (q – r) (r – p)
    Correct
    Wrong
  • 2
    3(p – q) (q – r) (r – p)
    Correct
    Wrong
  • 3
    0
    Correct
    Wrong
  • 4
    1
    Correct
    Wrong
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Answer : 2. "3(p – q) (q – r) (r – p) "

Q:

If a + b + c = 6, a2 + b+ c= 14 and a3 + b3 + c= 36, then the value of abc is

637 0

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

Q:

if 2x2 – 7x + 5 =0, then what is the value of $$x^2+{25\over 4x^2}$$

636 0

  • 1
    $$5{1\over 2}$$
    Correct
    Wrong
  • 2
    $$7{1\over 4}$$
    Correct
    Wrong
  • 3
    $$9{1\over 2}$$
    Correct
    Wrong
  • 4
    $$9{3\over 4}$$
    Correct
    Wrong
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Answer : 2. "$$7{1\over 4}$$"

Q:

If a + b + c = 6, a3 + b3+c3-3abc=342, then what is the value of ab + bc + ca?

634 0

  • 1
    5
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    -7
    Correct
    Wrong
  • 4
    -5
    Correct
    Wrong
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Answer : 3. "-7 "

Q:

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

630 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 = 0 , then find the value of x3+y3-9xy+9.

630 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 (3x – 2y) : (2x + 3y) = 5 : 6, then one of the values of $${\left({^3\sqrt { x}+\ ^3\sqrt { y}\over ^3\sqrt { x}-\ ^3\sqrt { y} } \right) \ }^2$$ is

629 0

  • 1
    $$1\over 5$$
    Correct
    Wrong
  • 2
    5
    Correct
    Wrong
  • 3
    $$1\over 25$$
    Correct
    Wrong
  • 4
    25
    Correct
    Wrong
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Answer : 4. "25"

Q:

If $${{p^2\over q^2}+{q^2\over p^2}}=1$$, then the value of (p6 + q6 ) is

621 0

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

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