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Simplification problems


  • 1. The number whose square is equal to the difference of the squares of 37 and 23 is:-

  • Options
  • A. 45.09
  • B. 28.98
  • C. 47.09
  • D. 28
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  • 2. If a--b = 4 and ab = 45, find the value of a3 - b3

  • Options
  • A. 604
  • B. 370
  • C. 253
  • D. 199
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  • 3. If a/(a+b) = 15/21, what is (a+b)/(a-b) is equal to?

  • Options
  • A. 13/9
  • B. 23/11
  • C. 14/5
  • D. 21/9
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  • 4. (798+579)2- (798-579)2798 x 579 =

  • Options
  • A. 2
  • B. 6
  • C. 4
  • D. 8
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  • 5. If x varies as y and x = 8 when y = 15 then the value of x when y = 10 is:

  • Options
  • A. 5
  • B. 15/8
  • C. 8/15
  • D. 16/3
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  • 6. The sum of two positive integers is 80 & difference between them is 20. Then what is difference of squares of those numbers ?

  • Options
  • A. 1400
  • B. 1600
  • C. 1800
  • D. 2000
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  • 7. In a school there are 1500 students, 44% of them are girls. Monthly fee of each boy is 540 and fee of each girl is 25% less than that of a boy. The sum of fees of boys & girl is

  • Options
  • A. Rs. 720600
  • B. Rs. 720800
  • C. Rs. 720900
  • D. Rs. 721000
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  • 8. Simplify the equation 0.733+0.2730.732+0.272-0.73×0.27

  • Options
  • A. 1
  • B. 0.4087
  • C. 0.73
  • D. 0.27
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  • 9. In a circle, two arcs of unequal length subtend angles in the ratio 5:3. If the smaller angle is 45° then the measure of other angle in degrees.

  • Options
  • A. 75°
  • B. 72°
  • C. 60°
  • D. 78°
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  • 10. The orthocentre of an obtuseangled triangle lies

  • Options
  • A. inside the triangle
  • B. outside the triangle
  • C. on one side of a triangle
  • D. none of these
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