Ten observations 5, 9, 14, 15, x+1, 2x-13, 28, 30, 32, 34 are written in ascending order.The median of the data is 24. Find the value of x.

• 20
  
  

• 19
  
  

• 21
  
  

• 16

The expenditure of the family in a month is given in the figure below. If the difference of expenditure between education and travel is$₹$4000, then what will be the total income of the family?

• $₹$50000

• $₹$40000

• $₹$60000

• $₹$30000

13.

When recast, the radius of an iron rod is made one-fourth. If its volume remains constant, then the new length will become

• $\frac{1}{16}$ times of the original
  
  

• 16 times of the original
  
  

• 4 times of the original
  
  

• times of the original

The mean of the median, mode and range of the observations 6, 6, 9, 14, 8, 9, 9, 8 is
 

• 10.3

• 8.5

• 10.5

• 8.8 

According to the given graph, between which two consecutive months was the change in the auto sales the greatest?

• April-May

• May-June

• January-February

• February-March

Given n numbers, n > l, of which, one is 1-$\frac{1}{\mathrm{n}}$ and all others are 1's. The mean of the n numbers is

• n-$\frac{1}{\mathrm{n}}$

• 1-$\frac{1}{{\mathrm{n}}^2}$

• 1

• n-$\frac{1}{{\mathrm{n}}^2}$

Which one is correct for the following data?

-1,3,2,0,1,6,8,5,10,11,5

• Mean= Median =Mode

• Mean= Mode

• Mode= Median

• Mean= 5

The total adults in a city are 6000. The various sections of them are indicated below.

I  $\to$ employes in the public sector
II $\to$ employes in the private sector
III$\to$ employes in the corporate sector
IV $\to$ self employed
V  $\to$ unemployed

What percentage of the employed persons is self employed?

• $5\frac{5}{19}$

• $19\frac{1}{5}$

• 20

• 5

The mean of 10 numbers is 0. If 72 and-12 are included in these numbers, the new mean will be

• 0

• 5

• 6

• 60

What is the probability that a randomly selected factor from positive factors of 72 is less than 11?

• $\frac{5}{12}$

• $\frac{7}{11}$

• $\frac{7}{12}$

• $\frac{7}{10}$