A right circular cylinder of maximum volume is cut from a solid c

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

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.

Given below is a data set of temperatures (in oC)
-6,-8,-2,3, 2, 0,5, 4, 8.

What is the range of the data?

  • 16 oC

  • 18 oC

  • 10 oC

  • 0 oC


2.

A geometric representation, showing the relationship between a whole and its part, is

  • pie chart

  • pictograph

  • bar graph

  • histogram


3.

If each edge of a cube is doubled, then the percentage increase in its total surface area is

  • 200%

  • 300%

  • 150%

  • 600%


4.

In an examination, the mean of marks scored by a class of 30 students was calculated as 58.5. Later on, it was detected that the marks of one student was strongly copied as 57 instead of 75. Find the correct mean.

  • 51.9

  • 59.1

  • 20.9

  • 28.9


Advertisement
5.

The marks of 16 students in math in monthly test are 0, 0, 2, 2, 3, 3, 3, 4, 5, 5, 5, 5,6, 6, 7, 8, then mode will be

  • 5

  • 6

  • 3

  • 7


6.

For what value of x, the mode of the following data is 27?

25,26,27,23,27,26,24,x,27,26,25,25
 

  • 27

  • 24

  • 25

  • 26


7.

The ratio of the heights of two right circular cones is 25:64 and the ratio of their diameters is 4: 5. The ratio of their volumes is

  • 1:3

  • 1:4

  • 5:8

  • 1:2


8.

The number of observations in a survey is 40. If the mean of the first 10 observations is 4.5 and that of remaining is 3.5, then the mean of the whole survey is

  • 2.82

  • 3.80

  • 3.75

  • 4.25


Advertisement
Advertisement

9.

A right circular cylinder of maximum volume is cut from a solid cube of edge 14 cm. The total surface of the cylinder is

  • 924cm2

  • 1134cm2

  • 2464cm2

  • 616cm2


A.

924cm2

Radius of right circular cylinder=edge of the cube2=142=7cm

Height of right circular cylinder = edge of cone=14cm

 Total surface area of cylinder=2π(h+r)=2×227×7×14+7

=2×22×21=924cm2


Advertisement
10.

There are 50 numbers. Each number is subtracted from 53 and the mean of the numbers so obtained is -3.5. The mean of the given numbers is

  • 49.5

  • 53.5

  • 46.5

  • 56.5


Advertisement