SSC (English Medium) ९ वीं कक्षा - Maharashtra State Board Question Bank Solutions for Algebra

The mean of 5 observations is 50. One of the observations was removed from the data, hence the mean became 45. Find the observation which was removed.

There are 40 students in a class, out of them 15 are boys. The mean of marks obtained by boys is 33 and that for girls is 35. Find out the mean of all students in the class.

If `barx` is the mean of x₁, x₂ ............x_n and `bary` is the mean of y₁, y₂, …….y_n and `barz` is the mean of x₁, x₂ ............x_n, y₁, y₂, ……….y_n then `barz` =?

The mean of five numbers is 50, out of which mean of 4 numbers is 46, find the 5^th number:

Mean of 100 observations is 40. The 9^th observation is 30. If this is replaced by 70 keeping all other observations same, find the new mean.

Observe the given Venn diagram and write the following sets.

1. A
2. B
3. A ∪ B
4. U
5. A'
6. B'
7. (A ∪ B)'

Observe the Venn diagram and write the given sets U, A, B, A ∪ B, A ∩ B.

The marks (out of 100) obtained by 7 students in Mathematics examination are given below. Find the mode for these marks.

99, 100, 95, 100, 100, 60, 90

The weights of 10 students (in kg) are given below:

40, 35, 42, 43, 37, 35, 37, 37, 42, 37.

Find the mode of the data.

In the following table, the information is given about the number of families and the siblings in the families less than 14 years of age. Find the mode of the data.

Find the mode of the following data.

What is the the mode of 19, 19, 15, 20, 25, 15, 20, 15?

In a competitive exam 50 students passed in English. 60 students passed in Mathematics. 40 students passed in both the subjects. None of them fail in both the subjects. Find the number of students who passed at least in one of the subjects?

A survey was conducted to know the hobby of 220 students of class IX. Out of which 130 students informed about their hobby as rock climbing and 180 students informed about their hobby as sky watching. There are 110 students who follow both the hobbies. Then how many students do not have any of the two hobbies? How many of them follow the hobby of rock climbing only? How many students follow the hobby of sky watching only?

Out of 100 persons in a group, 72 persons speak English and 43 persons speak French. Each one out of 100 persons speak at least one language. Then how many speak only English? How many speak only French? How many of them speak English and French both?

70 trees were planted by Parth and 90 trees were planted by Pradnya on the occasion of Tree Plantation Week. Out of these; 25 trees were planted by both of them together. How many trees were planted by Parth or Pradnya?

In a class, 8 students out of 28 have a dog as their pet animal at home, 6 students have a cat as their pet animal. 10 students have dog and cat both, then how many students do not have a dog or cat as their pet animal at home?

State the order of the surd given below. 

`root (3)(7)`

State the order of the surd given below.

`5 sqrt 12`

State the order of the surd given below.

`root (4)(10)`