Practice Question and Answer

Q:

If x2+y2+z2 = xy + yz + zx, then the value of $${3x^4+7y^4+5z^4}\over{5x^2y^2+7y^2z^2+3z^2x^2} $$ is

2013 0

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

Q:

Who won the men's singles title at Fuzhou China Open 2019?

1841 0

  • 1
    Chou Tien-chen
    Correct
    Wrong
  • 2
    Nozomi Okuhara
    Correct
    Wrong
  • 3
    Carolina Marin
    Correct
    Wrong
  • 4
    Kento Momota
    Correct
    Wrong
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Answer : 4. "Kento Momota"

Q:

If A and B are the HCF and LCM respectively of two algebraic expressions x and y, and A + B = x + y, then the value of A3 + B3 is 

2125 0

  • 1
    $$x^3-y^3 $$
    Correct
    Wrong
  • 2
    $$x^3$$
    Correct
    Wrong
  • 3
    $$y^3$$
    Correct
    Wrong
  • 4
    $$x^3 + y^3$$
    Correct
    Wrong
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Answer : 4. "$$x^3 + y^3$$"

Q:

If the difference between the roots of the equation Ax2+BX+C = 0 is 4, then which of the following is TRUE?

2455 0

  • 1
    $$B^2 - 16A^2 = 4AC + 4B^2 $$
    Correct
    Wrong
  • 2
    $$B^2 - 10A^2 = 4AC + 6A^2$$
    Correct
    Wrong
  • 3
    $$B^2 - 8A^2 = 4AC + 10A^2 $$
    Correct
    Wrong
  • 4
    $$B^2 - 16A^2 = 4A^C + 8B^2$$
    Correct
    Wrong
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Answer : 2. "$$B^2 - 10A^2 = 4AC + 6A^2$$"

Q:

If one root of the equation Ax2+Bx+C = 0 is two and a half times the others, then which of the following is TRUE? 

1681 0

  • 1
    $$7B^2= 3 CA $$
    Correct
    Wrong
  • 2
    $$7B^2 = 4 CA$$
    Correct
    Wrong
  • 3
    $$7B^2 = 36 CA $$
    Correct
    Wrong
  • 4
    $$10B^2 = 49 CA $$
    Correct
    Wrong
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Answer : 4. "$$10B^2 = 49 CA $$"

Q:

If α and β are the roots of equation x2 - 2x + 4 - 0, then what is the equation whose roots are α32 and β32?

2727 0

  • 1
    $$x^2 - 4x + 8 = 0 $$
    Correct
    Wrong
  • 2
    $$x^2 - 32x + 4 = 0 $$
    Correct
    Wrong
  • 3
    $$x^2 - 2x + 4 = 0 $$
    Correct
    Wrong
  • 4
    $$x^2 - 16x + 4 = 0 $$
    Correct
    Wrong
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Answer : 3. "$$x^2 - 2x + 4 = 0 $$"

Q:

How many triangles are there in the given figure?

2378 0

  • 1
    20
    Correct
    Wrong
  • 2
    23
    Correct
    Wrong
  • 3
    24
    Correct
    Wrong
  • 4
    26
    Correct
    Wrong
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Answer : 1. "20"

Q:

The weights of 4 boxes are 30, 40, 50 and 80 kilograms. Which of the following cannot be the total weight, in kilograms, of any combination of these boxes and in a combination a box can be used only once?

4422 0

  • 1
    120
    Correct
    Wrong
  • 2
    110
    Correct
    Wrong
  • 3
    100
    Correct
    Wrong
  • 4
    130
    Correct
    Wrong
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Answer : 3. "100"

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