Number System

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Aptitude miscellaneous
  1. A number whose fifth part increased by 5 is equal to its fourth part diminished by 5 is ?








  1. View Hint View Answer Discuss in Forum

    Let the number be N.
    Then, (N/5) + 5 = (N/4) - 5

    Correct Option: C

    Let the number be N.
    Then, (N/5) + 5 = (N/4) - 5
    ⇒ (N/4) - (N/5) = 10
    ⇒ (5N - 4N)/20 = 10
    ∴ N = 200

  1. The product of two numbers is 120. The sum of their squares is 289. The sum of the two numbers is ?








  1. View Hint View Answer Discuss in Forum

    Let the number be a and b .
    Then, (a+b)2 = a2 + b2 + 2ab
    = 289 + 2 x 120
    = 289 + 240
    = 529
    ∴ a+b = √529 = 23

    Correct Option: B

    Let the number be a and b .
    Then, (a+b)2 = a2 + b2 + 2ab
    = 289 + 2 x 120
    = 289 + 240
    = 529
    ∴ a+b = √529 = 23

  1. The sum of squares of two numbers is 80 and the square of their difference is 36. The product of the two numbers is ?








  1. View Hint View Answer Discuss in Forum

    Let the number be a and b.
    Then, a2 + b2 = 80
    and (a-b)2= 36

    Correct Option: A

    Let the number be a and b.
    Then, a2 + b2 = 80
    and (a - b)2= 36
    ⇒ a2 + b2 - 2ab = 36
    ⇒ 2ab = (a2 + b2)-36
    = 80 - 36= 44
    ∴ Product = ab = 22

  1. The sum of two number is twice their difference, If one of the number is 10, the other number is ?








  1. View Hint View Answer Discuss in Forum

    Let the other number be x.
    Then, 10 + x = 2(x - 10)

    Correct Option: B

    Let the other number be x.
    Then, 10 + x = 2(x - 10)
    ⇒ x = 30

  1. 4/5 of a certain number is 64, Half of that number is ?








  1. View Hint View Answer Discuss in Forum

    Let the number be N,
    Then 4N/5 = 64
    ⇒ N = 64 x 5/4 = 80

    Correct Option: B

    Let the number be N,
    Then 4N/5 = 64
    ⇒ N = 64 x 5/4 = 80
    ∴ Half of the number = 80/2 = 40