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Simplification problems


  • 1. The value of sec217°-1tan273°-sin17°sec73°

  • Options
  • A. 1
  • B. 0
  • C. -1
  • D. 2
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  • 2. If x=aCos?Cos?, y = aCos?Sin? and z= aSin?, then the value of x2+ y2 + z2 is

  • Options
  • A. 2a2
  • B. 0
  • C. 4a2
  • D. a2
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  • 3. A 1.6 m tall observer is 45 meters away from a tower. The angle of elevation from his eye to the top of the tower is 30°, then the height of the tower in meters is

  • Options
  • A. 25.98
  • B. 26.58
  • C. 27.58
  • D. 27.98
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  • 4. A spherical lead ball of radius 6 cm is melted and small lead balls of radius 3 mm are made. The total number of possible small lead balls is

  • Options
  • A. 4250
  • B. 4000
  • C. 8005
  • D. 8000
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  • 5. If x2+5x+6 = 0 , then the value of 2xx2-7x+6 is

  • Options
  • A. 1/6
  • B. 1/3
  • C. -1/6
  • D. -1/3
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  • 6. If a+b=5 and ab=3, then the value of (a2+b2) is

  • Options
  • A. 17
  • B. 18
  • C. 19
  • D. 20
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  • 7. A 8 cm long perpendicular is drawn from the centre of a circle to a 12 cm long chord. The diameter of the circle is

  • Options
  • A. 10 cm
  • B. 12 cm
  • C. 16 cm
  • D. 20 cm
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  • 8. If x = a + 1/a, y = a - 1/a, then the value of x4+y4-2x2y2

  • Options
  • A. 4
  • B. 8
  • C. 16
  • D. 64
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  • 9. If 2x+4-2x+2=3 , then the value of x?

  • Options
  • A. 0
  • B. 2
  • C. -1
  • D. -2
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  • 10. If 3n = 2187 , then the value of n is:

  • Options
  • A. 13
  • B. 14
  • C. 15
  • D. 16
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