CTET Solved Paper - UPTET December 2016 Paper2

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126. It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m. The radius of the new park would be

  • Option : A
  • Explanation : (A) Let 'R' be the radius of the new circle. Area of new circular park = Area of circle 1 of diameter 16 m + Area of circle 2 of diameter 12 m
    ⇒ πR2 = π(8)2 + π(6)2 [∵ R1 = 16/2 = 8 R2 = 12/2 = 6]
    ⇒ πR2 = 64π + 36π
    ⇒ πR2 = 100π
    ⇒ R2 = 100 ⇒ R = 10 m
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127. An edge of a cube measures r cm. If the largest possible right circular cone is cut out of this cube, then the volume of the cone (in cm3) is

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128. If 1350 is divided by 14, the remainder is

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129. If x = 3 + √8, then value of is

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130. Factors of x2 + 3√2x + 4 are

  • Option : B
  • Explanation : (B) x2 + 3√2x + 4
    = x2 + 2√2x + √2x + 4
    = x(x + 2√2) + √2 (x + 2√2)
    = (x + 2√2)(x + √2)
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