The area of a circle is increased by 22 cm2 when its radius is i

Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

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61.

The area of a circle is increased by 22 cm2 when its radius is increased by 1 cm. The original radius of the circle is

  • 3 cm

  • 5 cm

  • 7 cm

  • 7 cm


A.

3 cm

According to the question
straight pi left parenthesis straight r plus 1 right parenthesis squared space minus space πr squared space equals space 22
rightwards double arrow space space straight pi left parenthesis straight r squared plus 2 straight r plus 1 minus straight r squared right parenthesis space equals space 22
rightwards double arrow space space 2 πr space plus space straight pi space equals space 22
rightwards double arrow space space space 22 over 7 left parenthesis 2 straight r plus 1 right parenthesis space equals 22
rightwards double arrow space space space 2 straight r space plus space 1 space equals space 7
rightwards double arrow space space space space 2 straight r space equals space 6 space space rightwards double arrow space space straight r space equals space 3 space cm.

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62.

The sum of all interior angles of a regular polygon is twice the sum of all its exterior angles. The number of sides of the polygon is

  • 10

  • 8

  • 12

  • 12

217 Views

63.

The height of a right prism with a square base is 15 cm. If the area of the total surfaces of the prism is 608 sq. cm. its volume is

  • 910 cm3

  • 920 cm3

  • 960 cm3

  • 960 cm3

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64.

If the diagonals of a rhombus are 8 and 6, then the square of its side is

  • 25

  • 55

  • 64

  • 64

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65.

The volume of a solid hemisphere is 19404 cm3. Its total surface area is

  • 4158 cm2

  • 2858 cm2

  • 1738 cm2

  • 1738 cm2

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66.

If m and n are positive integers and (m - n) is an even number, then (m2 - n2) will be always divisible by

  • 4

  • 6

  • 8

  • 8

136 Views

67.

If open parentheses straight x plus 1 over straight x close parentheses squared space equals space 3, then the value of (x72 + x66 + x54 + x36 + x24 + x6 +1) is



  • 1

  • 2

  • 3

  • 3

128 Views

68.

If a + b + c = 0, then the value of fraction numerator straight a squared plus space straight b squared space plus space straight c squared over denominator straight a squared space minus bc end fraction is

  • 0

  • 1

  • 2

  • 2

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69.

If straight n space equals space 7 space plus space 4 square root of 3 comma then the value of open parentheses square root of straight n plus fraction numerator 1 over denominator square root of straight n end fraction close parentheses is

  • 2 square root of 3
  • 4

  • -4

  • -4

90 Views

70.

If a + b + c = 6,  a2 + b2 + c2 = 14  and a3 + b3 + c3 = 36, then the value of abc is

  • 3

  • 6

  • 9

  • 9

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