Simplification Practice Question and Answer

Q:

The sum of the squares of two positive integers is 100 and the difference of their squares is 28. The sum of the numbers is: 

1071 0

  • 1
    14
    Correct
    Wrong
  • 2
    15
    Correct
    Wrong
  • 3
    12
    Correct
    Wrong
  • 4
    13
    Correct
    Wrong
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Answer : 1. "14 "

Q:

If the sum of {a\over b}and its reciprocal is 1 and a ≠ 0, b ≠ 0, then the value of a3 + b3 is

435 0

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

Q:

If a3 – b3 – c3 – 3abc = 0, then 

441 0

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

Q:

The value of (x + y + z)3 – (y + z – x)3 – (z + x – y)3 – (x + y – z)3 is:

301 0

  • 1
    12 xyz
    Correct
    Wrong
  • 2
    24 xyz
    Correct
    Wrong
  • 3
    36 xyz
    Correct
    Wrong
  • 4
    0
    Correct
    Wrong
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Answer : 2. "24 xyz "

Q:

If p – 2q = 4, then the value of p3 – 8q3 – 24pq – 64 is :

424 0

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

Q:

If p = 99, then value of p(p2 + 3p + 3) is

400 0

  • 1
    999
    Correct
    Wrong
  • 2
    9999
    Correct
    Wrong
  • 3
    99999
    Correct
    Wrong
  • 4
    999999
    Correct
    Wrong
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Answer : 4. "999999"

Q:

If the sum of the squares of three consecutive natural numbers is 110, then the smallest of these natural numbers is:

809 0

  • 1
    6
    Correct
    Wrong
  • 2
    5
    Correct
    Wrong
  • 3
    8
    Correct
    Wrong
  • 4
    7
    Correct
    Wrong
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Answer : 2. "5 "

Q:

$$ {\sqrt{5929}}+\sqrt{8464}=(?)^{2}$$

562 0

  • 1
    17
    Correct
    Wrong
  • 2
    21
    Correct
    Wrong
  • 3
    15
    Correct
    Wrong
  • 4
    13
    Correct
    Wrong
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Answer : 4. "13"

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