Laxmi

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Tamilnadu Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics Intext Questions

Exercise 5.1
Try These (Text book Page No. 96)

Question 1.
Collect the height of students of your class. Organise the data in ascending order.
Solution:
Height of 15 students in our class.
130cm, 150 cm, 155 cm, 142 cm, 138 cm, 145 cm, 148 cm, 147 cm, 148cm, 143 cm, 141cm, 152 cm, 147 cm, 139 cm, 155 cm.

Ascending order:
130cm, 138cm, 139cm, 141cm, 142cm, 143cm, 145cm, 147cm, 147cm, 148cm, 148 cm, 150cm, 152 cm, 155cm, 155cm.

Try These (Text book Page No. 97)

Find the Arithmetic Mean or average of the following data.

Question 1.
The study time spent by Kathir in a week is 3 hrs, 4 hrs, 5 hrs, 3 hrs, 4 hrs, 3:45 hrs; 4:15 hrs.
Solution:


mean = 3 : 52 hrs

Question 2.
The marks scored by Muhil in five subjects are 75, 91, 48, 63, 51.
Solution:

Arithmetic Mean = 65.6

Question 3.
Money spent on vegetables for five days is ₹ 120, ₹ 80, ₹ 75, ₹ 95 and ₹ 86.
Solution:

Arithmetic Mean = 91.2

Think (Text book Page No. 99)

Check the properties of arithmetic mean for the example given below:

Question 1.
If the mean is increased by 2, then what happens to the individual observations.
Solution:
Given number are 3, 6, 9, 12, 15

If mean is increased by 2 then,

Sum of observations = 5 × 11 = 55
Difference in sum = 55 – 45 = 10
∴ Each number is increased by 2 if the mean is increased by 2.

Question 2.
If first two items are increased by 3 and last two items are reduced by 3, then what will be the new mean?
Solution:
If the first two items is increased by 3, then the numbers will be 3 + 3, 6 + 3 ⇒ 6, 9.
If last two numbers are decreased by 3, then the numbers will be 12 – 3, 15 – 3 ⇒ 9,12.

= \(\frac { 45 }{ 5 } \) = 9
There is no change in the mean.

Exercise 5.2
Try These (Text book Page No. 101)

Question 1.
Find the mode of the following data. 2, 6, 5, 3, 0, 3, 4, 3, 2, 4, 5, 2
Solution:
Arranging the numbers in ascending order we get 0, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6
Since 2 and 3 occurs the maximum of 3 times. So mode of this data is 2 and 3.

Question 2.
Find the mode of the following data set. 3, 12, 15, 3, 4, 12, 11, 3, 12, 9, 19.
Solution:
Arranging the given data in ascending order : 3, 3, 3, 4, 9,11, 12, 12,12, 15, 19.
The data 3 and 12 occurs the maximum of 3 times.
So mode of this data is 3 and 12.

Question 3.
Find the mode of even numbers within 20.
Solution:
Even numbers within 20 are 2, 4, 6, 8, 10, 12, 14, 16, 18.
There is no mode for this data.

Think (Text book Page No. 102)

Question 1.
A toy factory making variety of toys for kids, wants to know the most popular toy liked by all the kids. Which average will be the most appropriate for it?
Solution:
Mode.

Question 2.
Is there a mode exists between the odd numbers from 20 to 40? Discuss.
Solution:
Odd number between 20 to 40 are 21, 23, 25, 27, 29, 31, 33, 35, 37, 39.
As all numbers occurs only once there is no mode for this data.

Think (Text book Page No. 103)

Question 3.
Which average will be most aprropriate for the companies producing the following goods? why?
(i) Diaries and notebooks
(ii) School bags
(iii) Jeans and T-shirts.
Solution:
for all the above data mode will be more appropriate.

Exercise 5.3
Try These (Text book Page No. 106)

Question 1.
Find the median of 3, 8, 7, 8,4, 5, 6.
Solution:
Arranging in ascending order: 3, 4, 5, 6, 7, 8, 8.
Here n = 7, which is odd.

Hence the median is 6.

Question 2.
Find the median: 11, 14, 10, 9, 14, 11, 12, 6, 7, 7.
Solution:
Arranging in ascending order: 6, 7, 7, 9, 10, 11, 11, 12, 14, 14
Here n = 10, which is even.

Think (Text book Page No. 108)

Complete the table given below and observe it to answer the following questions.

Solution:

Question 1.
Which are all the series having common mean and median?
Solution:
Solution:
A, B and C.

Question 2.
Why median is same for all the 4 series?
Solution:
Since the middle value is 100.

Question 3.
How mean is unchanged in the series A, B and C ?
Solution:
The difference between the given numbers are equal.

Question 4.
What change is to be made in the data, so that mean and median of ‘D’ series is equal to other series?
Solution:
If 99 becomes 0 or 200 becomes 101 then mean becomes 100.

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Tamilnadu Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics Ex 5.4

Miscellaneous Practice problems

Question 1.
Arithmetic mean of 15 observations was calculated as 85. In doing so an observation was wrongly taken as 73 for 28. What would be correct mean?
Solution:

85 × 15 = sum of 15 observations
1275 = sum of 15 observations
Wrong observation = 73
Correct observation = 28

Correct mean = 82

Question 2.
The median of 25,16,15,10, 8, 30.
Solution:
Arranging is ascending order : 8, 10, 15, 16, 25, 30
Here n = 6, even

∴ Median = 15.5

Question 3.
Find the mode of 2, 5, 5, 1, 3, 2, 2, 1, 3, 5, 3.
Solution:
Arranging the data in ascending order: 1, 1, 2, 2, 2, 3, 3, 3, 5, 5, 5
Here 2, 3 and 5 occurs 3 times each.
Which is the maximum number of times.
∴ Mode is 2, 3 and 5.

Question 4.
The marks scored by the students in social test out of 20 marks are as follows.
12, 10, 8, 18, 14, 16. Find the mean and the median?
Solution:
Arranging the given data in ascending order: 8, 10, 12, 14, 16, 18.

There are n = 6 observations, which is even

Question 5.
The number of goals scored by a football team is given below.
Find the mode and median for the data of 2 ,3, 2, 4, 6, 1, 3, 2, 4, 1, 6.
Solution:
Arranging the given data in ascending order: 1, 1, 2, 2, 2, 3, 3, 4, 4, 6, 6
Clearly 2 occurs at the maximum of 3 times and so mode = 2
Here number of data of data n = 11, odd.
∴ Median = (\(\frac { n+1 }{ 2 } \))^th term
= (\(\frac { 11+1 }{ 2 } \))^th
term = (\(\frac { 12 }{ 2 } \))^th term
= 6^th term
Median = 3

Question 6.
Find the mean and mode of 6, 11, 13, 12, 4, 2.
Answer:
Arranging is ascending order : 2, 4, 6, 11, 12, 13

Mean = \(\frac { 48 }{ 6 } \) = 8
All observation occurs only once and so there is no mode for this date.

Challenge Problems

Question 1.
The average marks of six students is 8. One more student mark is added and the mean is still 8. Find the student mark that has been added.
Solution:

Sum of observation = 6 × 8 = 48
If one more mark is added then number of observations = 6 + 1 = 7
Let the number be x
Still average = 8
∴ 8 = \(\frac { 48+x }{ 7 } \)
48 + x = 7 × 8
48 + x = 56
48 + x = 56 – 48
x = 8
∴ The number that is added = 8

Question 2.
Calculate the mean, mode and median for the following data: 22, 15, 10, 10, 24, 21.
Solution:
Arranging in ascending order: 10, 10, 15, 21, 22, 24

Here n = 6, even

∴ Median = 18
Clearly the data 10 occurs maximum number of times and so 10 is the mode.
∴ Mode = 10

Question 3.
Find the median of the given data: 14, -3, 0, -2, -8, 13, -1, 7.
Solution:
Arranging the data is ascending order: -8, -3, -2, -1, 0, 7, 13, 14
Here number of data n = 8, even
∴ Median

∴ Median = – 0.5

Question 4.
Find the mean of first 10 prime numbers and first 10 composite numbers.
Solution:
First 10 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Mean = 12.9
Mean of first 10 prime numbers = 12.9
First 10 composite numbers are 4, 6, 8, 9, 10, 12, 14, 15, 16, 18

Mean of first 10 composite numbers = 11.2

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Tamilnadu Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics Ex 5.3

Question 1.
Fill in the blanks.

(i) The median of the data 12, 14, 23, 25, 34, 11, 42, 45, 32, 22, 44 is ________
(ii) The median of first ten even natural numbers is ________
Answers:
(i) 25
(ii) 11

Question 2.
Find the median of the given data: 35, 25, 34, 36, 45, 18, 28.
Solution:
Arranging the given data in ascending order 18, 25, 28, 34, 35, 36, 45.
Here the number of observations n = 7, which is odd.

Hence Median = 34

Question 3.
The weekly sale of motor bikes in a showroom for the past 14 weeks given below.
10, 6, 8, 3, 5, 6, 4, 7, 12, 13, 16, 10, 4, 7.
Find the median of the data.
Solution:
Arranging the given data in ascending order 3, 4, 4, 5, 6, 6, 7, 7, 8, 10, 10, 12, 13, 16.
Here number of data n = 14, which is even


∴ Median = 7

Question 4.
Find the median of the 10 observations 36, 33, 45, 28, 39, 45, 54, 23, 56, 25.
If another observation 35 is added to the above data, what would be the new median?
Solution:
Arranging the given 10 observations in ascending order 23, 25, 28, 33, 36, 39, 45, 45, 54, 56.
Here number of data n = 10, which is even

∴ Median = 37.5
If 35 is added to the above data then it will be the 5th term then number of data n = 11, odd
∴ Median = (\(\frac { n+1 }{ 2 } \))^th term = (\(\frac { 11+1 }{ 2 } \))^th term
= (\(\frac { 12 }{ 2 } \))^th term = 6th term
New median = 36

Objective Type Questions

Question 1.
If the median of a, 2a, 4a, 6a, 9a is 8, then find the value of a is
(i) 8
(ii) 6
(iii) 2
(iv) 10
Answer:
(iii) 2
Hint:

Median = 4a = 8
a = 2

Question 2.
The median of the data 24, 29, 34, 38, 35 and 30, is ________
(i) 29
(ii) 30
(iii) 34
(iv) 32
Answer:
(iv) 32
Hint:

Median = \(\frac { 30+34 }{ 2 } \)
= \(\frac { 64 }{ 2 } \)
= 32

Question 3.
The median first 6 odd natural numbers is
(i) 6
(ii) 7
(iii) 8
(iv) 14
Answer:
(i) 6
Hint:

Median = \(\frac { 5+7 }{ 2 } \)
= \(\frac { 12 }{ 2 } \)
= 6

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Tamilnadu Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics Ex 5.2

Question 1.
Find the mode of the following data. 2, 4, 5, 2, 6, 7, 2, 7, 5,4, 8, 6, 10, 3, 2, 4, 2.
Solution:
Arranging the given data in ascending order 2, 2, 2, 2, 2, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 10.
Here the number 2 occurs 5 times which is the maximum
∴ Mode of this data is 2.

Question 2.
The number of points scored by a Kabaddi team in 20 matches are
36, 35, 27, 28, 29, 31, 32, 31, 35, 38, 38, 31, 28, 31, 34, 33, 34, 31, 30, 29.
Find the mode of the points scored by the team.
Solution:
Arranging the given data in ascending order
27, 28, 28, 29, 29, 30, 31, 31, 31, 31, 31, 32, 33, 34, 34, 35, 35, 36, 38, 38.
Here the number 31 occurs 5 times which is the maximum.
∴ Mode of this data is 31.

Question 3.
The ages (in years) of 11 cricket players are given below.
25, 36, 39,38 40, 36, 25, 25, 38, o 26,36. Find the mode of the ages.
Solution:
Arranging the ages is ascending order: 25, 25, 25, 26, 36, 36, 36, 36, 38, 38, 39, 40.
The ages (in years) of 11 cricket players are given below. 25, 36, 39,38 40, 36, 25, 25, 38, o 26,36. Find the mode of the ages.
Arranging the ages is ascending order: 25, 25, 25, 26, 36, 36, 36, 36, 38, 38, 39, 40.
25 and 36 occurs maximum number of times.
∴ Mode is 25 and 36.

Question 4.
Find the mode of the following data.
12, 14, 12, 16, 15, 13, 14, 18, 19, 12, 14, 15, 16, 15, 16, 16, 15, 17, 13, 16, 16, 15, 15, 13, 15, 17, 15, 14, 15, 13, 15, 14.
Solution:
Tabulating the given data

The highest frequency is 10 which corresponds to the value 15.
Hence mode of this data is 15.

Objective Type Questions

Question 1.
The colors used by the six students for drawing is blue, orange, yellow, white, green and blue then the mode is ________
(i) blue
(ii) green
(iii) white
(iv) yellow
Answer:
(i) blue

Question 2.
Find the mode of data 3, 6, 9, 12, 15.
(i) 1
(ii) 2
(iii) 3
(iv) No mode
Answer:
(iv) No mode

Question 3.
Find the modes of the data 2, 1, 1, 3, 4, 5, 2.
(1) 1 and 5
(2) 2 and 3
(3) 2 and 1
(4) 1 and 4
Answer:
(3) 2 and 1

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Tamilnadu Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 6 Information Processing Additional Questions

Exercise 6.1

Question 1.
Draw a flowchart to calculate simple interest for your bank deposit.
Solution:
Flow Chart:

Algorithm:
(i) Read principal
(ii) Read years
(iii) Read rate of interest per year
(iv) Calculate the interest with formula Interest = Principal × Years × Rate/100
(v) Print Interest

Question 2.
Draw a flowchart to convert the given Fahrenheit temperature to Celsius. Formula is C = \(\frac { 5 }{ 9 } \) × (F – 32)
Solution:
Algorithm:
(i) Read temperature in Fahrenheit
(ii) Calculate temperature in Celsius using formula C = \(\frac { 5 }{ 9 } \) × (F – 32)
(iii) Print C

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Tamilnadu Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics Ex 5.1

Question 1.
Fill in the blanks.

1. The mean of first ten natural numbers is ________
2. If the average selling price of 15 books is ₹ 235, then the total selling price is ________
3. The average of the marks 2, 9, 5, 4, 4, 8, 10 is ________
4. The average of integers between -10 to 10 is ________

Answers:

1. 5.5
2. 3,525
3. 6
4. 0

Question 2.
Ages of 15 students in 8th standard is 13, 12, 13, 14, 12, 13, 13, 14, 12, 13, 13, 14, 13, 12, 14.
Find the mean age of the students.
Solution:

= \(\frac { 195 }{ 15 } \) = 13
Mean age of the students = 13

Question 3.
The marks of 14 students in a science test out of 50 are given below. 34, 23, 10, 45, 44, 47, 35, 37, 41, 30, 28, 32, 45, 39 Find
(i) the mean mark.
(ii) the maximum mark obtained.
(iii) the minimum mark obtained.
Solution:

Mean marks = 35
(ii) Maximum mark obtained = 47
(iii) Minimum mark obtained = 10

Question 4.
The mean height of 11 students in a group is 150 cm. The heights of the students are 154 cm, 145 cm, Y cm, Y + 4 cm, 160 cm, 151 cm, 149 cm, 149 cm, 150 cm, 144 cm and 140 cm. Find the value of Y and the heights of two students.
Solution:

150 = \(\frac { 1342+Y+Y+4 }{ 11 } \)
150 = \(\frac { 1346+2Y }{ 11 } \)
150 × 11 = 1346 + 2Y
1650 = 1346 + 2Y
2Y = 1650 – 1346 = 304
Y = \(\frac { 304 }{ 2 } \) = 152
Height of two students are Y and Y + 4
⇒ 152 and 152 + 4
⇒ 152 cm and 156 cm

Question 5.
The mean of runs scored by a cricket team in the last 10 innings is 276. If the scores are 235, 400, 351, x, 100, 315, 410,165, 260, 284, then find the runs scored in the fourth innings.
Solution:
Let the runs scored in the fourth innings be x.

276 × 10 = 2520 + x
2760 = 2520 + x
x = 2760 – 2520 = 240
∴ Number of runs scored in the fourth innings = 240

Question 6.
Find the mean of the following data. 5.1, 4.8, 4.3, 4.5, 5.1, 4.7, 4.5, 5.2, 5.4, 5.8, 4.3, 5.6,
Solution:

Mean = 5

Question 7.
Arithmetic mean of 10 observations was found to be 22. If one more observation 44 was to be added to the data, what would be the new mean?
Solution:
Arithmetic mean of 10 observation is 22.

= \(\frac { 220+44 }{ 11 } \) = \(\frac { 264 }{ 11 } \) = 24
New mean = 24

Objective Type Questions

Question 1.
________ is a representative value of the entire data.
(i) Mean
(ii) range
(iii) minimum value
(iv) maximum value
Answer:
(i) Mean

Question 2.
The mean of first fifteen even numbers is ________
(i) 4
(ii) 16
(iii) 5
(iv) 10
Answer:
(ii) 16
Hint:

Question 3.
The average of two numbers are 20. One number is 24, another number is ________
(i) 16
(ii) 26
(iii) 20
(iv) 40
Ans:
(i) 16
Hint:
\(\frac { x+y }{ 2 } \) = 20
x + y = 40
24 + y = 40
y = 40 – 24 = 16

Question 4.
The mean of the data 12, x, 28 is 18. Find the value of x.
(i) 18
(ii) 16
(iii) 14
(iv) 22
Answer:
(iii) 14
Hint:
\(\frac { 12+x+28 }{ 3 } \) = 18
x + 40 = 54
x = 14

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Tamilnadu Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 6 Information Processing Ex 6.1

Question 1.
Match the following:

Solution:

Question 2.
The steps of withdrawing cash from your saving bank account using ATM card are explained in the figures given below. Construct an appropriated flow chart.

Solution:
Algorithm:
(i) Swipe your bank Debit card / credit card.

(ii) Select banking
(iii) Select language
(iv) Select transaction
(v) Enter your PIN
(vi) Enter the required amount
(vii) Collect your money

Question 3.
Using given step by step process to recharge mobile phone, draw a sequence flowchart.

Step by Step process:

• Login the mobile recharge web browser
• Select prepaid or postpaid
• Enter mobile number
• Select operator and browse plans to choose your recharge plan
• Enter amount to recharge
• Proceed to recharge

Solution:

Question 4.
Complete the direction of the flowchart using arrows for the flow chart explaining the traffic rule given below.

Solution:

Question 5.
Complete the given flowchart, input names of things and check whether it is living or non – living.

Solution:
Input name Horse
Horse = a Yes
Print Living thing

Question 6.
Complete the given flowchart.
(i) Fill in the flow chart to print the average mark by giving your I term or II term marks as inputs.

(ii) Construct the flow chart to print teachers comment as “very good” if your average mark is above 75 out of 100 or else, as “still try more” can be inserted in the flow chart with earlier one.

Solution:

Question 7.
A merchant calculates the cost price (CP) and the selling price (SP) of the product bought by him. Construct the flow chart to print ‘PROFIT’ if the selling price (SP) is more than the cost price (CP) or else ‘LOSS’.
Solution:
First we have to input the cost price and selling price. Then we check whether cost price less than selling price. If S.P > CP, then print “PROFIT” otherwise print ‘Loss’.

Algorithm:

1. Enter cost price
2. Enter selling price
3. Checking whether CP < SP
4. If Yes print ‘PROFIT’
5. If No print ‘Loss’

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Tamilnadu Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics Additional Questions

Additional Questions and Answers

Exercise 5.1

Question 1.
The class scores on an exam are 97, 85, 92, 78 and 90. What is the average score?
Solution:

= \(\frac { 442 }{ 5 } \) = 88.4

Question 2.
Mean of 20 observations is 27. Find the sum of 20 observations.
Solution:

Sum of observations = 27 × 20
Sum of observations = 540

Question 3.
Mean of same observations is 15. Their sum is 405. Find the number of values.
Solution:

Number of values = \(\frac { 405 }{ 15 } \) = 27

Exercise 5.2

Question 1.
Find the mode of the following data. 1,2,5, 7, 3, 4, 2, 5, 7, 6, 2, 3.
Solution:
Arranging the data in ascending order: 1, 2, 2, 2, 3, 3,4, 5, 5, 6, 7, 7
Here 2 occurs maximum number of times.
∴ Mode is 2.

Exercise 5.3

Question 1.
Find the median of the data 1, 3, 7, 16, 0, 19, 7, 4, 3.
Solution:
Arranging the given data in ascending order: 0, 1, 3, 3, 4, 7, 7, 16, 19
Number of terms n = 9, which is odd.
∴ Median = (\(\frac { n+1 }{ 2 } \))^th term
= (\(\frac { 9+1 }{ 2 } \))^th term = (\(\frac { 10 }{ 2 } \))^th term
= 5^th term
Hence Median = 4

Question 2.
Find the median of first 10 even number.
Solution:
First 10 even numbers are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.
Here number of data n = 10, which is even

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Tamilnadu Samacheer Kalvi 8th Maths Solutions Term 2 Chapter 4 Information Processing Ex 4.4

Information Processing in Maths 8th Standard  Miscellaneous Practice Problems

Information Processing Solution Question 1.
The rule of Fibonacci Sequence is F(n) = F(n – 2) + F(n – 1). Find the 11th to 20th Fibonacci numbers.
Solution:
Fibonacci series is given by F(n) = F(n – 2) + F(n – 1)
∴ F(11) = F(11 – 2) + F(11 – 1) = F(9) + F(10)
Similarly F(12) ; = F(12 – 2) + F(12 – 1) = F(11) + F(10)
F(13) = F(12) + F(11)
F(14) = F(13) + F(12)……
F(20) = F(19) + F(18)
The Fibonacci series given by

8th Maths Book Information Processing Question 2.
In a library, 385 Math books, 297 Science books and 143 Tamil books are bundled equally in numbers. What is the maximum numbers of books possible in a bundle, for all types of books? (Use repeated division method)
Solution:
In library, no. of math books – 385
Science books – 297 .
Tamil books – 143
We need to find HCF by repeated division method.
Step 1:
First let us take the bigger 2 numbers which are 385 & 297 & find their HCF using repeated division method.

Step 2:
Now let us find the HCF of 11 & 143

∴ ’11’ is the HCF of 11 & 143
∴ Therefore, the HCF of 385, 297 & 143 is 11.
So, the maximum number of books possible in a bundle, for all types of books is 11.

Repeated Subtraction Method Question 3.
Find the length of the largest which piece of wood used to measure exactly the lengths 4 m, 50 cm and 6 m 30 cm woods.( Use repeated subtraction method)
Solution:
Piece 1 of wood length = 4 m 50 cm ; 1m = 100 cm
∴ 4m 50 cm = 4 x 100 + 50 = 450 cm
Piece 2 of wood length = 6 m 30 cm = 6 x 100 + 30 = 630 cm
Now, we need to find the HCF of 450 & 630 by repeated subtraction method.
Let bigger number be m & smaller number be n
Therefore, m = 630 & n = 450
m – n = 630 – 450 = 180; now m = 450, n = 180
m – n = 450 – 180 = 270; now m = 180, n = 270
n – m = 270 – 180 = 90; now m = 180, n = 90
m – n = 180 – 90 = 90
∴ now m = n …90 is HCF
Answer:
length of larget peice of wood to measure exactly the lenth of both pieces of wood is 90 cm

Question 4.
Using both repeated division method and repeated subtraction method and find the greatest number that divides 167 and 95, leaving 5 as reminder.
We need to find a number ‘x’ that divides 167 & 95 having 5 as reminder.
Therefore, if we subtract 5 from both the numbers, there wont be any reminder when the numbers are divided by ‘x’.
∴ x is the HCF of (167 – 5) & (95 – 5)
= 162 & 90
Finding HCF of 162 & 90 by repeated division method,

∴ HCF of 162 & 90 is 18.
HCF of 162 & 90 using repeated subtraction method
Let m = 162 & n = 90
m – n = 162 – 90 = 72
m – n = 90 – 72= 18
m – n = 72 – 18 = 54
n – m = 54 – 18 = 36
n – m = 36 – 18 = 18
now m = n = 18
Answer:
The number is 18
∴ 18 is the HCF

Question 5.
Praveen recently got the registration number for his new two-wheeler. Here, the number is given in the form of mirror – image. Encode the image and find the correct registration number of praveen’s two – wheeler.

Solution:
The mirror image is

When we place an imaginary mirror & visualize the image seen in the mirror, we will get the below.

∴ The answer is Option c

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Tamilnadu Samacheer Kalvi 12th Commerce Solutions Chapter 25 Government Schemes For Entrepreneurial Development

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Samacheer Kalvi 12th Commerce Government Schemes For Entrepreneurial Development Textbook Exercise Questions and Answers

I. Choose the Correct Answer

Question 1.
The ______ initiative was launched to modernize the Indian economy to make all government services available electronically.
(a) Standup India
(b) Startup India
(c) Digital India
(d) Make in India
Answer:
(c) Digital India

Question 2
______ is designed to transform India to a global design and manufacturing hub.
(a) Digital India
(b) Make in India
(c) Startup India
(d) Design India
Answer:
(b) Make in India

Question 3.
______ is the Government of India’s endeavour to promote culture of innovation and entrepreneurship.
(a) AIM
(b) STEP
(c) SEED
(d) AIC
Answer:
(a) AIM

Question 4.
______ should cover aspects like sources of finance, technical know-how, source of labour and raw material, market potential and profitability.
(a) Technical Report
(b) Finance Report
(c) Project Report
(d) Progress Report
Answer:
(c) Project Report

Question 5
______ has to include the mechanism for managing venture in the project report.
(a) Banker
(b) Government
(c) Lending Institutions
(d) Entrepreneur
Answer:
(d) Entrepreneur

II. Very Short Answer Questions

Question 1.
Name any four Governmental Entrepreneurial schemes.
Answer:
Through the Startup India initiative, the Government of India promotes entrepreneurship by mentoring, nurturing and facilitating startups throughout their life cycle. Modified Special Incentive Package Scheme (M-SIPS), New Gen Innovation and Entrepreneurship Development Centre (New Gen IEDC), Dairy Entrepreneurship Development Scheme, and Single Point Registration Scheme (SPRS) are some of the Governmental Entrepreneurial schemes.

Question 2.
Give a note on ‘Digital India’.
Answer:
The Digital India initiative has been launched to modernize the Indian economy to make all government services available electronically.

Question 3.
State any three entrepreneurial development schemes of Government of Tamil Nadu.
Answer:
Entrepreneurial development schemes of Government of Tamil Nadu:

1. Micro, small and medium enterprises (MSMEs)
2. New Entrepreneur-Cum-Enterprise Development Scheme (NEEDS)
3. Self-Help Group (SHG)

Question 4.
List down the two types of finance.
Answer:
Entrepreneur requires two types of finance namely long term and short term. While long term requirements are needed for acquiring fixed assets, short-term requirement are meant for meeting working capital needs.

Question 5.
Mention the time period of Provision Registration Certificate.
Answer:
Entrepreneur has to apply for Provisional Registration certificate. It will be issued to entrepreneur after the fulfilment of certain conditions for a period of one year subject to renewal of two periods of six months duration.

III. Short Answer Questions

Question 1.
What is ‘Startup India’?
Answer:
Through the Startup India initiative, Government of India promotes entrepreneurship by mentoring, nurturing and facilitating startups throughout their life cycle.

Question 2.
Expand the following: STEP, JAM, TREAD, M-SIPS, SEED and New Gen IEDC
Answer:
STEP: Support to Training and Employment Programme for women
JAM: Jan-Dhan-Aadhaar-Mobile
M-SIPS: Modified Special Incentive Package Scheme
SEED: Science for Equity Empowerment and Development
New Gen IEDC: New Gen Innovation and Entrepreneurship Development Centre
TREAD: Trade Related Entrepreneurship Assistance and Development

Question 3.
Write a short note on the following
Answer:
(a) Dairy Entrepreneurship Development Scheme
(b) Project Report
Dairy Entrepreneurship Development Scheme: Dairy Entrepreneurship Development Scheme aims at helping entrepreneurs in the field of Agriculture, pets and animals.
Project Report: Project reports needs to be prepared according to the format prescribed in the loan application form of term lending institutions.

Question 4.
What is the procedure for getting power connection for an Entrepreneurial venture?
Answer:
Entrepreneur has to make application to Assistant Divisional Engineer of State Electricity Board for power connection after paying Security Deposit and fulfilling the official formalities prescribed.

IV. Long Answer Questions

Question 1.
Explain any five Government Entrepreneurial schemes.
Answer:
To support and strengthen the Start-up culture in India, the Government has launched various schemes. They are as follows:

1. The Modified Special Incentive Package Scheme (M-SIPS): The M-SIPS scheme provides capital subsidy of 20% in SEZ and 25% subsidy in non-SEZ for business units engaged in manufacturing of electronic goods.

2. New Gen Innovation and Entrepreneurship Development Centre (New Gen IEDC): It provides a limited one time non-recurring financial assistance to entrepreneurship up to Rs. 25 lakhs in the fields of chemicals, technology, health care, defence, etc.

3. Dairy Entrepreneurship Development Scheme: Dairy Entrepreneurship Development Scheme aims at helping entrepreneurs in the fields of agriculture, pets and animals and dairy farms.

4. Single Point Registration Scheme: A great scheme for micro and small enterprises which provides an exemption from payment of Earnest Money Deposit.

5. Atal Incubation Centres (AIC): The Government of India has set up the Atal Innovation Mission (AIM) at NITI Aayog in 2016 with the over arching purpose of promoting a culture of innovation and entrepreneurship in the country.

Question 2.
Describe the steps for promoting Entrepreneurial venture.
Answer:
Steps for promoting entrepreneurial venture:

1. Selection of the product: An entrepreneur may select a product according to his capacity and motivation after a thorough scrutiny of micro and macro environment of business.
2. Selection of form of ownership: Entrepreneur has to choose the form of organisation suitable and appropriate for his venture namely family ownership, partnership and private company.
3. Selection of site: Entrepreneur has to choose suitable plot for starting his venture. The plot may be industrial site, land by the private people or housing board plot allotted.
4. Designing capital structure: The entrepreneurs has to determine the source of finance for funding the venture. It may be own savings, loan from friends, relatives or loan from banks.
5. Acquisition of Manufacturing know-how: Entrepreneur can acquire manufacturing know-how from government research laboratories and industrial consultants.
6. Preparation of project report: Project reports needs to be prepared according to the format prescribed in the loan application forms.

Question 3.
Discuss the preparation of a project report.
Answer:
An entrepreneur can get the report prepared by technical consultancy organisations or by
auditors or by government agencies. The report should include the following:

1. Technical feasibility: It should contain the description of product, raw materials, quality control measures, water, power and transport.
2. Economic viability: It involves compilation of demand for domestic and export market.
3. Financial viability: It should cover the aspects like: Non-recurring expenses like cost of land, and building. Recurring expenses like wages and salaries.
4. Managerial competency: Entrepreneurs has to include the mechanism for managing the venture in the project report.
5. Provisional registration certificate: He has to apply for provisional registration certificate. It will be issued after certain conditions for a period of one year.
6. Permanent registration certificate: If the venture has commenced production, or is ready to commence production, it is eligible to get permanent registration certificate.
7. Statutory licence: He should obtain Municipal Licence from the authority concerned.
8. Power connection: He has to make application to Assistant Divisional Engineer of Electricity Board for power connection.
9. Arrangement of finance: Entrepreneur requires two types of finance namely Long term and Short term.

Samacheer Kalvi 12th Commerce Government Schemes For Entrepreneurial Development Additional Questions and Answers

I. A. Fill in the blanks

1. Stand-up-India scheme was launched in _________
2.  _________ initiative has been launched to modernise the Indian economy to make all Government services available electronically.

Answers:

1. 2015
2. Digital India

II. Very Short Answer Questions

Question 1.
Write a note on JAM.
Answer:
Jan-Dhan-Aadhaar-Mobile (JAM), is a technological intervention that enables direct transfer of subsidies to specific beneficiaries and therefore eliminates all intermediaries and leakages in the system.

III. Short Answer Questions

Question 1.
What is meant by SEED?
Answer:
SEED (Science for Empowerment and Development) aims to provide opportunities to motivated scientists and field level workers to undertake the action-oriented, location specific projects for socio-economic gains, in rural areas. The benefits of technology reaches to a vast section of the population.

Question 2.
Describe the term ‘Stand Up India’ Scheme.
Answer:
Stand-Up India scheme was launched in 2015. It seeks to leverage institutional credit for the benefit of India’s underprivileged. It aims at enabling economic participation of, women entrepreneurs, Scheduled Castes and Scheduled Tribes and share the benefit of Indian growth.

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