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Simplification problems


  • 1. Find the common factor of (3757+4357) and (3737+4337) ?

  • Options
  • A. (43 - 37)
  • B. (43 + 37)
  • C. (37 + 37)
  • D. 10
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  • 2. Calculate the value of 61681 x 61681 - 31681 x 3168130000 ?

  • Options
  • A. 93352
  • B. 94362
  • C. 93362
  • D. 95362
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  • 3. For which value of ?g? the linear graph of 6x + 12y +9 = 0 and 2x + gy + 3 = 0 has infinite number of solutions?

  • Options
  • A. 3
  • B. 4
  • C. 6
  • D. 9
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  • 4. ?ABC is right angled at B. If m?A = 45°, then find the value of (coseC + 1/?3).

  • Options
  • A. (3?2+1)/3
  • B. (2+?3)/2
  • C. 5/?3
  • D. (?6+1)/?3
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  • 5. In ?UVW measure of angle V is 900. If cosecU = 13/12, and UV = 2.5 cm, then what is the length (in cm) of side VW?

  • Options
  • A. 6.5
  • B. 6
  • C. 4
  • D. 5.6
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  • 6. The value of x for which the expressions 7x + 13 and 13x - 7 become equal is _____

  • Options
  • A. -10/3
  • B. 3/10
  • C. -3/10
  • D. 10/3
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  • 7. On dividing 256a2b2c2 by 64a2 , we get

  • Options
  • A. 2cxc
  • B. 2bxb
  • C. 4 bxb.cxc
  • D. 4
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  • 8. Rehman walks at 8 km/hr and Roma cycles at 13 km/hr towards each other. What was the distance between them when they started if they meet after 36 minutes?

  • Options
  • A. 12.6 kms
  • B. 18.9 kms
  • C. 15.8 kms
  • D. 9.5 kms
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  • 9. If 3x + 2y = 7 and 4x - y = 24, then x - y = ______.

  • Options
  • A. 9
  • B. 1
  • C. -9
  • D. -1
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  • 10. What is the value of cosec 11?/6?

  • Options
  • A. -2/?3
  • B. ?2
  • C. -2
  • D. -?2
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