Question 1

Q1: A survey was made to find the type of music that a certain group of young people liked in a city. Adjoining pie chart shows the findings of this surve...

Accepted Answer

Given: A pie chart representing the findings of a survey on music preference. The chart shows: - Light music: 40% - Folk music: 30% - Classical music: 10% - Semi Classical music: 20% (i) If 20 people liked classical music, how many young people were surveyed? Let: The total number of young people su...

Question 2

Q2: A group of 360 people were asked to vote for their favourite season from the three seasons rainy, winter and summer. (i) Which season got the most vot...

Accepted Answer

Given: Data from a survey of 360 people on their favourite season. - Summer: 90 votes - Rainy: 120 votes - Winter: 150 votes Total people = $90 + 120 + 150 = 360$. (i) Which season got the most votes? Solution: Comparing the number of votes for each season: - Summer: 90 - Rainy: 120 - Winter: 150 Th...

Question 3

Q3: Draw a pie chart showing the following information. The table shows the colours preferred by a group of people. | Colours | Number of people | |---|--...

Accepted Answer

Given: Data on colours preferred by a group of 36 people. To Do: Draw a pie chart for the given information. Solution: First, we need to calculate the central angle for each colour sector. Total number of people = 36. Formula: Central Angle for a sector = $(\frac{	ext{Number of people for a colour}...

Question 4

Q4: The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total...

Accepted Answer

Given: A pie chart of marks scored by a student. Total marks = 540. The central angles for the subjects are: - Mathematics: $90^\circ$ - Social Science: $65^\circ$ - Science: $80^\circ$ - Hindi: $70^\circ$ - English: $55^\circ$ (i) In which subject did the student score 105 marks? Solution: First, w...

Question 5

Q5: The number of students in a hostel, speaking different languages is given below. Display the data in a pie chart. | Language | Number of students | |-...

Accepted Answer

Given: Data on languages spoken by students in a hostel. Total number of students = 72. To Do: Display the data in a pie chart. Solution: First, we calculate the central angle for each language sector. Formula: Central Angle for a sector = $(\frac{	ext{Number of students for a language}}{	ext{Tota...

Question 6

Q1: List the outcomes you can see in these experiments. (a) Spinning a wheel (b) Tossing two coins together

Accepted Answer

(a) Spinning a wheel Given: A spinning wheel with 5 sectors. The sectors are labeled A, B, C, D, and A. Solution: When the wheel is spun, the pointer can stop at any of the sectors. Although 'A' appears twice, the distinct outcomes are the letters on the sectors. The possible outcomes are A, B, C, a...

Question 7

Q2: When a die is thrown, list the outcomes of an event of getting (i) (a) a prime number (b) not a prime number. (ii) (a) a number greater than 5 (b) a n...

Accepted Answer

Given: A standard six-sided die is thrown. The possible outcomes are {1, 2, 3, 4, 5, 6}. (i) (a) a prime number Solution: A prime number is a number greater than 1 that has only two factors: 1 and itself. From the set of possible outcomes {1, 2, 3, 4, 5, 6}, the prime numbers are 2, 3, and 5. Final...

Question 8

Q3: Find the. (a) Probability of the pointer stopping on D in (Question 1-(a))? (b) Probability of getting an ace from a well shuffled deck of 52 playing...

Accepted Answer

Formula: Probability of an event = $\frac{	ext{Number of favorable outcomes}}{	ext{Total number of outcomes}}$ (a) Probability of the pointer stopping on D in (Question 1-(a))? Given: The spinning wheel from Question 1-(a) has 5 sectors in total, labeled A, B, C, D, A. Solution: Total number of ou...

Question 9

Q4: Numbers 1 to 10 are written on ten separate slips (one number on one slip), kept in a box and mixed well. One slip is chosen from the box without look...

Accepted Answer

Given: Ten slips numbered 1 to 10 are in a box. The set of all possible outcomes is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Total number of outcomes = 10. (i) getting a number 6? Solution: The favorable outcome is {6}. Number of favorable outcomes = 1. Probability (getting a 6) = $\frac{	ext{Number of fav...

Question 10

Q5: If you have a spinning wheel with 3 green sectors, 1 blue sector and 1 red sector, what is the probability of getting a green sector? What is the prob...

Accepted Answer

Given: A spinning wheel with: - 3 green sectors - 1 blue sector - 1 red sector Solution: Total number of sectors = $3 + 1 + 1 = 5$. Total number of outcomes = 5. Probability of getting a green sector: Number of favorable outcomes (green sectors) = 3. Probability (getting a green sector) = $\frac{	e...

Question 11

Q6: Find the probabilities of the events given in Question 2.

Accepted Answer

Given: A standard six-sided die is thrown. The set of all possible outcomes is {1, 2, 3, 4, 5, 6}. Total number of outcomes = 6. Formula: Probability of an event = $\frac{	ext{Number of favorable outcomes}}{	ext{Total number of outcomes}}$ From Question 2 (i)(a): Event of getting a prime number Fa...

Colours	Number of people
Blue	18
Green	9
Red	6
Yellow	3
Total	36

Language	Number of students
Hindi	40
English	12
Marathi	9
Tamil	7
Bengali	4
Total	72

NCERT Solutions