Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

11.

If for an isosceles triangle the length of each equal side is 'a' units and that of the third side is 'b' units, then its area will be

  •  square units.
  •  square units
  •  square units
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12.

The outer and inner diameter of a circular path be 728 metre and 700 metre respectively. The breadth of the path is

  • 7 metre

  • 28 metre

  • 14 metre

  • 14 metre

338 Views

13.

A piece of wire when bent to form a circle will have a radius of 84 cm. If the wire is bent to form a square, the length of a side of the square is 

  • 152 cm

  • 132 cm

  • 168 cm

  • 168 cm

192 Views

14.

If radius of a circle is increased by 5%, then the increase in its area is

  • 10.25%

  • 10%

  • 5.75%

  • 5.75%

294 Views

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15.

The area of the parallelogram whose length is 30 cm, width is 20 cm and one diagonal is 40 cm is

  • 200 square root of 15 space cm squared
  • 100 square root of 15 space cm squared
  • 300 square root of 15 space cm squared
  • 300 square root of 15 space cm squared


D.

300 square root of 15 space cm squared



In ΔABD, AB = 20 cm, AD = 30 cm, BD (Diagonal) = 40 cm
therefore space space space Semi minus Perimeter space left parenthesis straight s right parenthesis space equals space fraction numerator straight a plus straight b plus straight c over denominator 2 end fraction space equals space fraction numerator 20 plus 30 plus 40 over denominator 2 end fraction space equals space 45 space cm
∴ Area of Δ ABD
       equals space square root of straight s left parenthesis straight s minus straight a right parenthesis thin space left parenthesis straight s minus straight b right parenthesis thin space left parenthesis straight s minus straight c right parenthesis end root
equals space square root of 45 left parenthesis 45 minus 20 right parenthesis thin space left parenthesis 45 minus 30 right parenthesis thin space left parenthesis 45 minus 40 right parenthesis end root
equals square root of 45 space cross times space 25 space cross times space 15 space cross times space 5 end root
       equals square root of 5 space cross times 3 cross times 3 cross times 5 cross times 5 cross times 5 cross times 3 cross times 5 end root
equals square root of 5 squared space cross times space 5 squared space cross times space 5 space cross times space 3 squared space cross times space 3 end root
equals space 5 space cross times space 5 space cross times space 3 square root of 15 space equals space 75 square root of 15 space cm squared

∴   Area of parallelogram ABCD = 2 space cross times space 75 square root of 15
         equals space 150 square root of 15 space cm squared

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16.

On increasing each side of a square by 50%, the ratio of the area of new square formed and the given square will be

  • 9 : 5

  • 9 : 3.5

  • 9 : 7

  • 9 : 7

213 Views

17.

The area of circle is 324 space straight pi square cm. The length of its longest chord (in cm) is

  • 36

  • 28

  • 38

  • 38

236 Views

18.

The area of a rhombus is 256 square cm and one of its diagonals is twice the other in length. Then length of its largest diagonal is

  • 32 cm

  • 16 cm

  • 48 cm

  • 48 cm

274 Views

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19.

If straight m space equals space square root of 5 plus square root of 5 plus square root of 5 plus.......... end root end root end root
and straight n space equals space square root of 5 minus square root of 5 minus square root of 5 minus................ end root end root end root
then among the following the relation between m and n holds is

  • m - n + 1 = 0

  • m + n - 1 = 0

  • m + n + 1 = 0

  • m + n + 1 = 0

174 Views

20.

If fraction numerator 3 minus 5 straight x over denominator 2 straight x end fraction plus fraction numerator 3 minus 5 straight y over denominator 2 straight y end fraction plus fraction numerator 3 minus 5 straight z over denominator 2 straight z end fraction space equals space 0 comma the value of 2 over straight x plus 2 over straight y plus 2 over straight z is

  • 20

  • 5

  • 10

  • 10

190 Views

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