The base of a right prism is an equilateral triangle. If the lat

Subject

Quantitative Aptitude

Class

SSCCGL Class 12

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 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

1217 Views

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

Advertisement
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

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

1098 Views

Advertisement
Advertisement

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


A.

4 cm

Lateral surface area of prism  = Base perimeter x Height
  Base Perimeter is of equilateral triangle  = 3a 
 Height (h)
∴     120 cm2 = 3a x h
  rightwards double arrow space space straight a space cross times space straight h space equals space 120 over 3 space equals space space 40 space cm squared ... (i)
Volume of prism  = Base Area x Height
rightwards double arrow space space 40 square root of 3 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 cross times space straight h
rightwards double arrow space space fraction numerator 40 square root of 3 space cross times space 4 over denominator square root of 3 end fraction space equals space straight a squared space cross times space straight h
rightwards double arrow space space space space space space 160 space equals space straight a squared space cross times space straight h space space space space space space space... left parenthesis ii right parenthesis
Dividing equation (ii) by (i),
Side(a) = 160 over 40 equals space space 4 space cm

849 Views

Advertisement
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

Advertisement