Tips and Tricks to simplify algebra problems

  1. (a + b)(a – b) = (a2 – b2)
  2. (a + b)2 = (a2 + b2 + 2ab)
  3. (a – b)2 = (a2 + b2 – 2ab)
  4. (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)
  5. (a3 + b3) = (a + b)(a2 – ab + b2)
  6. (a3 – b3) = (a – b)(a2 + ab + b2)
  7. (a3 + b3 + c3 – 3abc) = (a + b + c)(a2 + b2 + c2 – ab – bc – ac)
  8. When a + b + c = 0, then a3 + b3 + c3 = 3abc
    Which one of the following is not a prime number?
    A. 31
    B. 61
    C. 71
    D. 91

    Answer: Option D

    Explanation:

    91 is divisible by 7. So, it is not a prime number.

    2

    (112 x 54) = ?
    A. 67000
    B. 70000
    C. 76500
    D. 77200

    Answer: Option B

    Explanation:

    (112 x 54) = 112 x 10 4 = 112 x 104 = 1120000 = 70000
    2 24 16
  9. It is being given that (232 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?

    Correct! Wrong!

    What least number must be added to 1056, so that the sum is completely divisible by 23 ?

    Correct! Wrong!

    1397 x 1397 = ?

    Correct! Wrong!

    How many of the following numbers are divisible by 132 ? 264, 396, 462, 792, 968, 2178, 5184, 6336

    Correct! Wrong!

    Which of the following is a prime number ?

    Correct! Wrong!

    QUIZ ON NUMBERS
    WELL DONE !!!

    Share your Results:

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