In an equilateral triangle of side 24 cm, a circle is inscribed

Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

1.

The compound interest on a certain sum of money for 2 years at 5% is ₹328, then the sum is

  • ₹ 3000

  • ₹ 3600

  • ₹ 3200

  • ₹ 3400

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2.

The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume be 1/27 th of the volume of the given cone, at what height above the base is the section made?

  • 19 cm

  • 20 cm

  • 12 cm

  • 15 cm

241 Views

3.

ABCD is a trapezium with AD and BC parallel sides. E is a point on BC. The ratio of the area of ABCD to that of AED is 

593 Views

4.

If the surface area of sphere is 346.5 cm2, then its radius [ taking π = 22/7 ] is

  • 7 cm

  • 3.25 cm

  • 5.25 cm

  • 9 cm

262 Views

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5.

An interior angle of a regular polygon is 5 times its exterior angle. Then the number of sides of the polygon is

  • 14

  • 16

  • 12

  • 18

332 Views

6.

The height of the right pyramid whose area of the base is 30m2 and volume is 500 m3, is

  • 50 m

  • 60 m

  • 40 m

  • 20 m

238 Views

7.

The base of a right prism is a right angle triangle with two sides 5cm and 12 cm. The height of the prism is 10 cm. The height of the prism is 10 cm. The total surface area of the prism is

  • 360 sq cm

  • 300 sq cm

  • 330 sq cm

  • 325 sq cm

510 Views

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8.

In an equilateral triangle of side 24 cm, a circle is inscribed touching its sides. The area of the remaining portion of the triangle is ( √3 = 1.732 )

  • 98.55 sq cm

  • 100 sq cm

  • 101 sq cm

  • 95 sq cm


A.

98.55 sq cm

Side (a) = 24 cm

Area space of space triangle space space equals space fraction numerator square root of 3 over denominator 4 end fraction space cross times space left parenthesis side right parenthesis squared
space equals space fraction numerator square root of 3 over denominator 4 end fraction space cross times space 24 space cross times space 24 space equals space 144 square root of 3 space sq. space cm space equals space 144 space cross times space 1.732 space equals space 249.408 space cm squared

In radius = fraction numerator straight a over denominator 2 square root of 3 end fraction space equals space fraction numerator 24 over denominator 2 square root of 3 end fraction space equals space 4 square root of 3 space cm
Area of circle = πr squared
space equals space 22 over 7 cross times space 4 square root of 3 space cross times space 4 square root of 3
equals space 1056 over 7 space equals space 150.86 space cm squared
Area of remaining part
= (249.408 - 150.86) cm2
equals space 98.548 space sq. cm space almost equal to space 98.55 space cm squared


1098 Views

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9.

The base of a right prism is an equilateral triangle. If the lateral surface area and volume is 120 cm2, 40√3 cm3 respectively then the side of base of the prism is

  • 4 cm

  • 5 cm

  • 7 cm

  • 40 cm

849 Views

10.

Perimeter of a rhombus is 2p unit and sum of length of diagonals is m unit, then area of the rhombus is

786 Views

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