CTET Solved Paper - REET Feburary 2016

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26. At what rate the simple interest will be 2/5 times to the original sum in 10 yr?

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27. reetfeb16/q96

  • Option : D
  • Explanation : As, we know that
    ∠AOC+ ∠BOC = 180° (Linear Pair)
    ⇒ 50° + ∠BOC = 180°
    ⇒ ∠BOC = 180° - 50°
    = 130°
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28. reetfeb16/q97

  • Option : A
  • Explanation : As, ∠ACB = 180° - (∠ABC+ ∠BAC)
    = 180° - (50°+ 30°) = 100° (Sum of angles of a triangle)
    ∴ ∠ACD = 180° - 100° = 80° (Linear Pair)
    ∴ ∠AED = ∠ACD + ∠EDC
    = 80° + 25° = 105° (Exterior Angle Theorem).
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29. The sum oflength oftwo sides of a triangle is always

  • Option : B
  • Explanation : Sum of length of two sides of a triangle is always greater than the third side.
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30. The diagonal of a rectangle field is 17 m and its perimeter is 46 m. What is the area of the field?

  • Option : B
  • Explanation : Given, 2(l + b) = 46
    l + b = 23 ... (i)
    and l2 + b2 = (17)2 = 289 ... (ii) (By Pythagoras Theorem)
    Now, (l + b)2 = 232
    ⇒ l2 + b2 + 2lb = 529
    ⇒ 289 + 2lb = 529
    ⇒ 2lb = 529 - 289 = 240
    ⇒ lb = 120
    ⇒ Area = lb =120 sq m.
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