Algebra Question with answer Practice Question and Answer

Q:

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

478 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 (10 a3+4b3):(11a3-15b3)=7:5, then (3a+5b):(9a-2b)=?

477 0

  • 1
    10:13
    Correct
    Wrong
  • 2
    8:7
    Correct
    Wrong
  • 3
    5:4
    Correct
    Wrong
  • 4
    3:2
    Correct
    Wrong
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Answer : 1. "10:13"

Q:

If x = y = 333 and z = 334, then the value of x3 + y+ z3 – 3xyz is

475 0

  • 1
    0
    Correct
    Wrong
  • 2
    667
    Correct
    Wrong
  • 3
    1000
    Correct
    Wrong
  • 4
    2334
    Correct
    Wrong
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Answer : 3. "1000 "

Q:

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

475 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:

and x is real, then the value of is

474 0

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

Q:

If x = 332, y = 333, z = 335, then the value of x3 + y3 + z3 – 3xyz is

473 0

  • 1
    10000
    Correct
    Wrong
  • 2
    7000
    Correct
    Wrong
  • 3
    8000
    Correct
    Wrong
  • 4
    9000
    Correct
    Wrong
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Answer : 2. "7000 "

Q:

Directions: In each of these questions, two equations (i) and (ii) are given, you have to solve both the equations and give answer accordingly.

(i) 6x² – 11x + 4 = 0
 (ii) 3y² – 5y + 2 = 0

471 0

  • 1
    x ≤ y
    Correct
    Wrong
  • 2
    x < y
    Correct
    Wrong
  • 3
    x ≥ y
    Correct
    Wrong
  • 4
    x > y
    Correct
    Wrong
  • 5
    x = y or no relation can be established between x & y.
    Correct
    Wrong
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Answer : 5. "x = y or no relation can be established between x & y."

Q:

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

471 0

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

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