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  • Question
  • The sum of two number is 100 and their difference is 37. The difference of their squares is?


  • Options
  • A. 37
  • B. 100
  • C. 63
  • D. 3700

  • Correct Answer
  • 3700 

    Explanation

    Let the numbers be a and b.
    Then, a + b = 100 and a - b = 37
    ? a2 - b2 = (a+b) (a-b)
    = 100 x 37
    = 3700


  • Number System problems


    Search Results


    • 1. 
      The ratio between two numbers is 3:4 and their sum is 420. The greater of two number is?

    • Options
    • A. 175
    • B. 200
    • C. 240
    • D. 315
    • Discuss
    • 2. 
      The difference between the squares of two consecutive number is 35. The number are?

    • Options
    • A. 14, 15
    • B. 15, 16
    • C. 17, 18
    • D. 18, 19
    • Discuss
    • 3. 
      Three fourth of one-fifth of a number is 60. The number is?

    • Options
    • A. 300
    • B. 400
    • C. 450
    • D. 1200
    • Discuss
    • 4. 
      A number is 25 more than its two-fifth. The number is?

    • Options
    • A. 60
    • B. 80
    • C. 125/3
    • D. 125/7
    • Discuss
    • 5. 
      If one-fifth of a number decreased by 5 is 5, then the number is?

    • Options
    • A. 25
    • B. 50
    • C. 60
    • D. 75
    • Discuss
    • 6. 
      The difference of two number is 8 and 1/8th of their sum is 35. The number are?

    • Options
    • A. 132, 140
    • B. 128, 136
    • C. 124, 132
    • D. 136, 144
    • Discuss
    • 7. 
      The sum of two number is 29 and the difference of their squares is 145. The difference between the number is?

    • Options
    • A. 13
    • B. 5
    • C. 8
    • D. 11
    • Discuss
    • 8. 
      The difference of two number is 5 and the difference of their squares is 135. The sum of the number is?

    • Options
    • A. 27
    • B. 25
    • C. 30
    • D. 32
    • Discuss
    • 9. 
      If 1 is added to the denominator of fraction, the fraction becomes 1/2. If 1 is added to the numerator, the fraction becomes 1. The fraction is?

    • Options
    • A. 4/7
    • B. 5/9
    • C. 2/3
    • D. 10/11
    • Discuss
    • 10. 
      4/5 of a number exceeds its 2/3 by 8. The number is?

    • Options
    • A. 30
    • B. 60
    • C. 90
    • D. None of these
    • Discuss


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