Algebra Practice Question and Answer

Q:

If a=25, b=15 , c=-10 then find the value of $$ {a^{3}+b^{3}+c^{3}-3abc\over {(a-b)^{2}+(b-c)^{2} +(c-a)^{2}}}$$

1344 0

  • 1
    30
    Correct
    Wrong
  • 2
    -15
    Correct
    Wrong
  • 3
    -30
    Correct
    Wrong
  • 4
    15
    Correct
    Wrong
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Answer : 4. "15"

Q:

 If 3x2-5x+1=0, then the value of ( $$x^2+{1\over 9x^2}$$) is 

1334 0

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

Q:

If a = 7, b = 5 and c = 3, then the value of $$a^2+b^2+c^2-ab-bc-ca$$ is 

1334 0

  • 1
    0
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    12
    Correct
    Wrong
  • 4
    -12
    Correct
    Wrong
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Answer : 3. "12 "

Q:

Given that x3 + y3 = 72 and xy = 6 with x > y. Then the value of (x – y) is

1334 0

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

Q:

If $$64^{x+1}={64\over 4^x}$$, then the value of x

1329 0

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

Q:

If x = a - b, y = b - c, z = c - a, then the numerical value of the algebraic expression x3 +y3 + z3 -3xyz will be 

1328 0

  • 1
    4 (a+b+c)
    Correct
    Wrong
  • 2
    3 abc
    Correct
    Wrong
  • 3
    a + b + c
    Correct
    Wrong
  • 4
    0
    Correct
    Wrong
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Answer : 4. "0"

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) 21x² + 10x + 1 = 0
 (ii) 24y²+ 26y + 5 = 0

1327 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:

What is the value of a2+b2+c2-2ab-2bc+2ca?

1327 0

  • 1
    (2a + b + c)2
    Correct
    Wrong
  • 2

    (a − b + c)2

    Correct
    Wrong
  • 3

    (a − b − 2c)2

    Correct
    Wrong
  • 4

    (a + 2b − c)2

    Correct
    Wrong
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Answer : 2. "

(a − b + c)2

"

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