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Home Aptitude Plane Geometry See What Others Are Saying!
  • Question
  • In a triangle ABC, ?A = x°, ?B = y° and ?C = (y + 20)°. If 4x ? y = 10, then the triangle is :


  • Options
  • A. Right-angle
  • B. Obtuse-angled
  • C. Equilateral
  • D. None of these

  • Correct Answer
  • Right-angle 

    Explanation

    Given :- ?A = x° , ?B = y° , ?C = ( y + 20 )° and 4x ? y = 10
    We know that , ?A + ?B + ?C = 180°
    ? x + y + ( y + 20 ) = 180°
    ? x + 2y = 180 - 20 = 160° ........... ( ? )
    4x ? y = 10 ........... ( ? )
    From ( ? ) and ( ? ) , we get
    ? y = 70 , x = 20
    ? The angles of the triangle are 20° , 70° , 90° .
    Hence , the triangle will be Right-angle triangle .


  • More questions

    • 1. 
      The value of 47 / 10000 is?

    • Options
    • A. .0047
    • B. .0470
    • C. .00047
    • D. .000047
    • Discuss
    • 2. If 4x = 18y, then the value of ( x/y - 1) is

    • Options
    • A. 1 3
    • B. 7 2
    • C. 2 3
    • D. 3 2
    • Discuss
    • 3. 
      If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?

    • Options
    • A. 144
    • B. 158
    • C. 159
    • D. 166
    • Discuss
    • 4. 
      .02 =(......?.....)%

    • Options
    • A. 20
    • B. 2
    • C. .02
    • D. .2
    • Discuss
    • 5. 
      If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it?

    • Options
    • A. 45
    • B. 55
    • C. 60
    • D. 72
    • Discuss
    • 6. 
      2?63 / 11 =233

    • Options
    • A. 4
    • B. 3
    • C. 6
    • D. 5
    • Discuss
    • 7. 
      When 121012 is divided by 12, the remainder is

    • Options
    • A. 0
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 8. 
      Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?

    • Options
    • A. 18 days
    • B. 21 days
    • C. 3 days
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    • Discuss
    • 9. 
      750.0003 ÷ 19.999 =?

    • Options
    • A. 49
    • B. 18
    • C. 22
    • D. 38
    • Discuss
    • 10. 
      105, 85, 60, 30, 0, - 45, - 90?

    • Options
    • A. 0
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    • C. -45
    • D. 60
    • Discuss


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