Test - 1. Real Numbers, Quadratic Equations

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  1. Find the smallest number which leaves remainder 8 and 12 when divided by 28 and 32.
  2. Find the greatest number of 6 digits exactly divisible by 24, 15, 36
  3. The traffic lights at 3 different road crossing change after every 48 sec, 72 sec, 108 sec respectively. If they change simultaneously, at 7am, at what time will they change together next?
  4. Which of the following are quadratic equations?
    1. 16x2x^2 - 3 = (2x+5) (5x-3)
    2. √3√3 x2x^2 - 2x + (1/2) = 0
    3. x2x^2 - 2x - √x - 5 = 0
  5. The product of 2 consecutive integers is 306. Find them
  6. The sum of square of 2 consecutive odd positive integers is 394. Find them.
  7. The sum of 2 numbers is 8 and 15 times the sum of the reciprocal is also 8. Find the number
  8. The sum of 2 numbers is 9 and the sum of their reciprocals is 1/2. Find the numbers
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