12th Standard, HSC Maharashtra State Board, Chapter 1 - Mathematical Logic, [Latest edition], Balbharati solutions, for Mathematics and Statistics 1 (Commerce)

Chapter 1 - Mathematical Logic [Latest edition]

• EXERCISE 1.1
• EXERCISE 1.2
• EXERCISE 1.3
• EXERCISE 1.4
• EXERCISE 1.5
• EXERCISE 1.6
• EXERCISE 1.7
• EXERCISE 1.8
• EXERCISE 1.9
• EXERCISE 1.10
• MISCELLANEOUS 1

Mathematical Logic, EXERCISE 1.2 [PAGE 6], Balbharati solutions, for Mathematics and Statistics 1, (Commerce) 12th Standard, HSC Maharashtra State Board,

EXERCISE 1.2 [PAGE 6]

Balbharati solutions for Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board Chapter 1 Mathematical Logic Exercise 1.2 [Page 6]

EXERCISE 1.2 Q 1.1 PAGE 6

Exercise 1.2 | Q 1.1 | Page 6

Express the following statement in symbolic form.

e is a vowel or 2 + 3 = 5

SOLUTION

Let p: e is a vowel.

q: \(2 + 3 = 5\)

The symbolic form is \(p \lor q\).

EXERCISE 1.2 Q 1.2 PAGE 6

Exercise 1.2 | Q 1.2 | Page 6

Express the following statement in symbolic form.

Mango is a fruit but potato is a vegetable.

SOLUTION

Let p: Mango is a fruit.

q: Potato is a vegetable.

The symbolic form is \(p \land q\).

EXERCISE 1.2 Q 1.3 PAGE 6

Exercise 1.2 | Q 1.3 | Page 6

Express the following statement in symbolic form.

Milk is white or grass is green.

SOLUTION

Let p: Milk is white.

q: Grass is green.

The symbolic form is \(p \lor q\).

EXERCISE 1.2 Q 1.4 PAGE 6

Exercise 1.2 | Q 1.4 | Page 6

Express the following statement in symbolic form.

I like playing but not singing.

SOLUTION

Let p: I like playing.

q: I do not like singing. (Or: I like singing, then form is \(p \land \neg q\). The original solution implies q is "I do not like singing" directly)

The symbolic form is \(p \land q\).

EXERCISE 1.2 Q 1.5 PAGE 6

Exercise 1.2 | Q 1.5 | Page 6

Express the following statement in symbolic form.

Even though it is cloudy, it is still raining.

SOLUTION

Let p: It is cloudy.

q: It is still raining.

The symbolic form is \(p \land q\).

EXERCISE 1.2 Q 2.1 PAGE 6

Exercise 1.2 | Q 2.1 | Page 6

Write the truth value of the following statement.

Earth is a planet and Moon is a star.

SOLUTION

Let p: Earth is a planet.

q: Moon is a star.

The truth values of p and q are T and F respectively.

The given statement in symbolic form is \(p \land q\).

\(\therefore p \land q \equiv T \land F \equiv F\)

\(\therefore\) Truth value of the given statement is F.

EXERCISE 1.2 Q 2.2 PAGE 6

Exercise 1.2 | Q 2.2 | Page 6

Write the truth value of the following statement.

16 is an even number and 8 is a perfect square.

SOLUTION

Let p: 16 is an even number.

q: 8 is a perfect square.

The truth values of p and q are T and F respectively.

The given statement in symbolic form is \(p \land q\).

\(\therefore p \land q \equiv T \land F \equiv F\)

\(\therefore\) Truth value of the given statement is F.

EXERCISE 1.2 Q 2.3 PAGE 6

Exercise 1.2 | Q 2.3 | Page 6

Write the truth value of the following statement.

A quadratic equation has two distinct roots or 6 has three prime factors.

SOLUTION

Let p: A quadratic equation has two distinct roots.

q: 6 has three prime factors.

The truth values of p and q are F and F respectively. (Note: A quadratic equation *can* have two distinct roots, but doesn't always. This statement implies it *always* does, which is false. Prime factors of 6 are 2 and 3, so only two prime factors.)

The given statement in symbolic form is \(p \lor q\).

\(\therefore p \lor q \equiv F \lor F \equiv F\)

\(\therefore\) Truth value of the given statement is F.

EXERCISE 1.2 Q 2.4 PAGE 6

Exercise 1.2 | Q 2.4 | Page 6

Write the truth value of the following statement.

The Himalayas are the highest mountains but they are part of India in the North East.

SOLUTION

Let p: Himalayas are the highest mountains.

q: Himalayas are the part of India in the North East.

The truth values of p and q are T and T respectively.

The given statement in symbolic form is \(p \land q\).

\(\therefore p \land q \equiv T \land T \equiv T\)

\(\therefore\) Truth value of the given statement is T.

Chapter 2 - Matrices, Balbharati solutions, for Mathematics and Statistics 1, (Commerce) 12th Standard HSC, Maharashtra State Board, Latest edition,

• EXERCISE    2.1  PAGES 39 - 40
• EXERCISE    2.2  PAGES 46 - 47
• EXERCISE    2.3  PAGES 55 - 56
• EXERCISE    2.4  PAGES 59 - 60

Chapter 11: Be a Good Speaker, English 5th Standard, Maharashtra State Board, Balbharati solutions,

Chapter 11: Be a Good Speaker

THINGS TO DO [PAGE 27]

Balbharati solutions for English 5th Standard Maharashtra State Board Chapter 11 Be a Good Speaker Things to do [Page 27]

Things to do | Q 1. (1) | Page 27

List and say whether the following statement agree with the passage or not.

You should always speak softly but clearly.

• Agree

• Disagree

SOLUTION

Things to do | Q 1. (2) | Page 27

List and say whether the following statement agree with the passage or not.

In a discussion, you should share your ideas with others.

• Agree

• Disagree

SOLUTION

Things to do | Q 1. (3) | Page 27

List and say whether the following statement agree with the passage or not.

If you don’t understand something, don’t let the others know about it.

• Agree

• Disagree

SOLUTION

Things to do | Q 1. (4) | Page 27

List and say whether the following statement agree with the passage or not.

You should try to talk most of the time whenever there is a discussion.

• Agree

• Disagree

SOLUTION

Things to do | Q 1. (5) | Page 27

List and say whether the following statement agree with the passage or not.

You should look at the person you are talking to.

• Agree

• Disagree

SOLUTION

Things to do | Q 1. (6) | Page 27

List and say whether the following statement agree with the passage or not.

When you want to make a speech, there’s no need to think about it in advance.

• Agree

• Disagree

SOLUTION

Things to do | Q 2. | Page 27

Think about what you do and you must learn to do when you speak. Make a list of such 'Do's' and Don'ts' for yourself.

SOLUTION

Things to do | Q 3. | Page 27

List the polite expressions we use such as ‘Pardon’.

SOLUTION

Things to do | Q 4. | Page 27

Look at the speaker in each picture. Say whether each one is a good speaker. Give reasons for your answer.

SOLUTION

Chapter 10: Three Sacks of Rice, English 5th Standard, Maharashtra State Board, Balbharati solutions,

Chapter 10: Three Sacks of Rice

THINGS TO DO [PAGES 24 - 26]

Balbharati solutions for English 5th Standard Maharashtra State Board Chapter 10 Three Sacks of Rice Things to do [Pages 24 - 26]

Things to do | Q 1.1 | Page 24

Find the opposite of the following word from the lesson.

begun

SOLUTION

Things to do | Q 1.2 | Page 24

Find the opposite of the following word from the lesson.

bought 

SOLUTION

Things to do | Q 1.3 | Page 24

Find the opposite of the following word from the lesson.

reject 

SOLUTION

Things to do | Q 1.4 | Page 24

Find the opposite of the following word from the lesson.

eldest

SOLUTION

Things to do | Q 1.5 | Page 24

Find the opposite of the following word from the lesson.

lent

SOLUTION

Things to do | Q 1.6 | Page 24

Find the opposite of the following word from the lesson.

earned

SOLUTION

Things to do | Q 1.7 | Page 24

Find the opposite of the following word from the lesson.

narrow

SOLUTION

Things to do | Q 2. (1) | Page 24

Answer the following question.

What common qualities did the three brothers have?

SOLUTION

Things to do | Q 2. (2) | Page 24

Answer the following question.

What was the businessman looking for? Why?

SOLUTION

Things to do | Q 2. (3) | Page 24

Answer the following question.

How did the middle brother use rice?

SOLUTION

Things to do | Q 2. (4) | Page 24

Answer the following question.

Was it right for the youngest brother to ask for a share in the money? Why?

SOLUTION

Things to do | Q 3. (1) | Page 25

Read the highlighted words.

• All three of them were honest, kind, and hardworking.
• You are such an honest person.

The highlighted words are adjectives.

Now find at least five other adjectives from the lesson.

SOLUTION

Things to do | Q 3. (2) | Page 24

List as many words as you can that will go with the given adjective. (At least 3 each.)

Example: sudden - sudden change, sudden shower, sudden fall

• simple
• odd
• only
• honest
• long

SOLUTION

Things to do | Q 4. (1) | Page 25

Imagine you are one of the three brothers. Write in short what you did with the rice.

SOLUTION

Things to do | Q 4. (2) | Page 25

Find any other story of three brothers or three sisters and rewrite it in your own words.

SOLUTION

Things to do | Q 4. (3) | Page 26

Find out how rice is cultivated. Describe the process with the help of pictures or diagrams.

SOLUTION

Things to do | Q 5 | Page 25

Form a group of 4 or 5. Make a ‘storyboard’ for the story ‘Three Sacks of Rice’.
Arrange the story in the form of a sequence of pictures.
Decide what you will show in each picture; what words/lines you will write with each picture to explain what happens in it.
You can also add ‘speech balloons’ for the people in the pictures.

SOLUTION

Chapter 9: The Triantiwontigongolope English 5th Standard Maharashtra State Board Balbharati solutions

Chapter 9: The Triantiwontigongolope

THINGS TO DO [PAGE 22]

Balbharati solutions for English 5th Standard Maharashtra State Board Chapter 9 The Triantiwontigongolope Things to do [Page 22]

Things to do | Q 1 | Page 22

Read the poem aloud using proper intonation.

SOLUTION

Things to do | Q 2 | Page 22

Note that we say ‘its appetite’, ‘its manners’ and not ‘it’s appetite’ or ‘it’s manners’. It’s means ‘It is’ and its means ‘belonging to it’.

SOLUTION

Things to do | Q 3. (1) | Page 22

Is the insect described in the poem a real insect? Think about an imaginary creature. Describe it in your own words. You may draw its picture and label it.

SOLUTION

Things to do | Q 3. (2) | Page 22

Think of other funny names for imaginary creatures. Write any 3 of them.

SOLUTION

Chapter 7: Major Dhyan Chand English 5th Standard Maharashtra State Board Balbharati solutions

Chapter 7: Major Dhyan Chand

THINGS TO DO [PAGE 18]

Balbharati solutions for English 5th Standard Maharashtra State Board Chapter 7 Major Dhyan Chand Things to do [Page 18]

Things to do | Q 1 | Page 18

Guess the meaning of the following word.

water-logged

SOLUTION

Things to do | Q 1 | Page 18

Guess the meaning of the following word.

postponed

SOLUTION

Things to do | Q 1 | Page 18

Guess the meaning of the following word.

novel

SOLUTION

Things to do | Q 1 | Page 18

Guess the meaning of the following word.

barefoot

SOLUTION

Things to do | Q 1 | Page 18

Guess the meaning of the following word.

fruitless

SOLUTION

Things to do | Q 1 | Page 18

Guess the meaning of the following word.

pounced

SOLUTION

Things to do | Q 2. (1) | Page 18

Name the following.

Hosts of the 1936 Olympic Games

SOLUTION

Things to do | Q 2. (2) | Page 18

Name the following.

Ruler of Germany

SOLUTION

Things to do | Q 2. (3) | Page 18

Name the following.

Not comfortable with the wet ground

SOLUTION

Things to do | Q 2. (4) | Page 18

Name the following.

Scored the first goal in the match.

SOLUTION

Things to do | Q 2. (5) | Page 18

Name the following.

Did not let the passes go waste

SOLUTION

Things to do | Q 2. (6) | Page 18

Name the following.

Captain of the Indian Team

SOLUTION

Things to do | Q 2. (7) | Page 18

Name the following.

Pounced on Dhyan Chand and hurt him

SOLUTION

Things to do | Q 2. (8) | Page 18

Name the following.

Third-time winners of the Olympic gold medal for hockey

SOLUTION

Things to do | Q 3 | Page 18

Find out how the following game is played.

Lawn Tennis

SOLUTION

Things to do | Q 3 | Page 18

Find out how the following games are played.

Table Tennis

SOLUTION

Things to do | Q 3 | Page 18

Find out how the following game is played.

Kabaddi

SOLUTION

Things to do | Q 3 | Page 18

Find out how the following game is played.

Kho-Kho

SOLUTION

Things to do | Q 3 | Page 18

Find out how the following game is played.

Hockey

SOLUTION

Things to do | Q 3 | Page 18

Find out how the following game is played.

Football

SOLUTION

Things to do | Q 3 | Page 18

Find out how the following game is played.

Badminton

SOLUTION

Things to do | Q 4 | Page 18

Read the highlighted words. They are verbs.

The goalkeeper pounced on Dhyan Chand and hurt him

Find at least 5 other verbs from the passage.

SOLUTION

Things to do | Q 5 | Page 18

Use the following phrase in your own sentence.

be sure of

SOLUTION

Things to do | Q 5 | Page 18

Use the following phrase in your own sentence.

try one’s level best

SOLUTION

Things to do | Q 5 | Page 18

Use the following phrase in your own sentence.

at any cost

SOLUTION

Things to do | Q 5 | Page 18

Use the following phrase in your own sentence.

turn down the offer.

SOLUTION