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  • Question

  • 387 x 387 + 114 x 114 + 2 x 387 x 114 =?


  • Options
  • A. 250001
  • B. 251001
  • C. 260101
  • D. 261001

  • Correct Answer
  • 251001 

    Explanation

    Given expression = a2+b2+2ab = (a+b)2
    where a = 387 and b = 114
    = (387 + 114 )2
    = (501)2
    =(500 +1 )2
    =(500)2 + (1)2+ 2 x 500 x 1
    = 250000 + 1 +1000 = 251001.

    • More questions

    • 1. (798+579)2- (798-579)2798 x 579 =

    • Options
    • A. 2
    • B. 6
    • C. 4
    • D. 8
      • Discuss
    • 2. 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
      • Discuss
    • 3. 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
      • Discuss
    • 4. 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
      • Discuss
    • 5. 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
      • Discuss
    • 6. 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°
      • Discuss
    • 7. 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
      • Discuss
    • 8. The radius of base of a right circular cone is 6cm and its slant height is 10cm. Then its volume is (use ?=227)

    • Options
    • A. 301.71 cm3
    • B. 310.71 cm3
    • C. 301.17 cm3
    • D. 310.17 cm3
      • Discuss
    • 9. If a2+b2+c2=14 and a+b+c=6 , then the value of ab+bc+ca is,

    • Options
    • A. 11
    • B. 12
    • C. 13
    • D. 14
      • Discuss
    • 10. If ab+ba=1, then the value of a3+b3 is

    • Options
    • A. 1
    • B. 0
    • C. -1
    • D. 2
      • Discuss

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