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Given,

Depth of the cylindrical vessel = Height of the cylindrical vessel = h = 42 cm (common for both)

Inner diameter of the cylindrical vessel = 14 cm

So, the inner radius of the cylindrical vessel = r₁ = 14/2 = 7 cm

Outer diameter of the cylindrical vessel = 16 cm

So, the outer radius of the cylindrical vessel = r₂ = 16/2 = 8 cm

Now,

The volume of the cylindrical vessel

V = π(r₂² – r₁² ) x h

= π(8² – 7² ) x 42

= 22/7 x 15 x 42

V = 1980 cm³

Therefore, the total space between the two vessels is 1980 cm³, which is also the amount of cork dust required.

Outer dimensions 

l = 42cm 

b = 30cm 

h = 27cm 

Thickness of wood = 1cm 

Inner dimensions 

l = 42 - (1 + 1) = 40cm 

b = 30 - 1(1 + 1) = 28cm 

h = 27 - (1 + 1) = 25cm 

∴ Capacity of the box l × b × h 

= 40 × 28 × 25 

= 28000cm².

Given,

50 circular plates each with diameter 14 cm

Radius of circular plates = 7cm

Thickness of plates = 0.5 cm

As these plates are one above the other, the total thickness of all the plates = 0.5 x 50 = 25 cm

So, the total surface area of the right circular cylinder formed = 2πr × h + 2πr²

= 2πr (h + r)

= 2(22/7) x 7 x (25 + 7)

= 2 x 22 x 33 = 1408 cm²

Therefore, the total surface area of the cylinder is 1408 cm².

Given, radius of a circular plate, r = 14 cm

Thickness of a circular plate = 3 cm

Thickness of 30 circular plates = 30 x 3 = 90 cm

Since, 30 circular plates are placed one above the another to form a cylindrical solid. Then, Height of the cylindrical solid, h = Thickness of 30 circular plates = 90 cm

1. Total surface area of the cylindrical solid so formed

= 2πr(h+ r)

= 2 x (22/7) x 14(90+ 14)

= 44 x 2 x 104 

= 9152 cm²

Hence, the total surface area of the cylindrical solid is 9152 cm²,

2. Volume of the cylinder so formed = πr²h

= (22/7) (14)² x 90 

= (22/7) x 14 x 14 x 90

= 22 x 28 x 90 

= 55440 cm³

Hence, the volume of the cylinder so formed is 55440 cm³.

Radius of each circular plate = 10.5 cm 

Thickness of each plate = 1.6 cm 

25 plates are placed one above the other to form a solid circular cylinder 

∴ height of the cylinder formed, h = 25 × 1.6 cm = 40 cm 

Total curved surface area of the cylinder = 2πrh 

= \(2\times\frac{22}{7}\times10.5\times40\)

= 2640 cm² 

Volume of cylinder = πr² h 

= π (10.5)² × 40 

= 13860 cm³

(a) CH₄+O₂→CO₂+2H₂O+Heat+Light

(b) CH₄+Cl₂+Sunlight →CH₃Cl+HCl

(i) 2CH₃COOH+Na₂CO₃→2CH₃COONa+H₂O+CO₂

(ii) CH₄+2O₂→CO₂+2H₂O

(iii) 2C₂H₅OH+2Na→2C₂H₅ONa+H₂

C₂H₅OH and CH₃COOH react in the presence of conc. H₂SO₄ to form an ester. Ethyl ethanoate, CH₃COOC₂H₅ is formed in the reaction.

C₃H₄, C₂H₄ will undergo addition reactions because they are unsaturated compounds.

Steps to be followed for organising health run in your school :

(i) Committee will be made

(ii) Registration

(iii) Date/Time 

(iv) No age group

(v) Distance to be mentioned

(vi) Refreshment to all participants. 

(a) Circular will be displayed on students noticeboard. 

(b) Registration will be done for the participants. 

(c) Date and time is fixed and informed to all registered. 

(d) On the day of health run, Chief Guest can be invited. 

(e) Distance to be covered for health run is 5-10 km. participants may jog/run and walk. 

(f) After finishing of health run, refreshment must be distributed to all associated with the programme of health run. 

(g) Proper dispersal of students. 

The main aim to organise health run for schoolchildren is to create awareness and develop healthy citizens of India.

Benefits of Organising health runs and awareness programmes:

(a) Health runs reduce the risk of cardio-vascular diseases and ensure proper flow of blood and oxygen throughout the body. 

(b) Improves respiratory system, it increases the ability of individual to take in more oxygen and throw out more carbon dioxide. 

(c) It keeps the joints healthy and flexible. These runs improve the range of movement of the joints of our body. 

(d) Prevents Diabetes, running burns glucose which prevents glucose level from rising too high. 

(e) Improves the immune system. Health runs help to boost immune system. 

(f) They make people aware about deadly diseases and also inform us about their causes, symptoms and prevention. 

(g) Helps to create awareness among people to add fitness programme as part of their lifestyle. 

(h) Helps to change attitude of people. 

(i) Such runs also help in raising funds for some charitable organizations. 

(j) Spread message among the mass to remain healthy and fit by taking part in such runs.

Before conducting the Intramural Competition the following factors have to be taken into consideration: 

(a) Type of institute - i.e., residential, day-boarding or mixed. 

(b) Climatic conditions. 

(c) Infrastructure/facilities available. 

(d) Estimated finances. 

(e) Availability of time. 

(f) Activity as per students interest. 

(g) Possible help from school staff/students.

Importance of intramural and extramural Competitions: 

(a) To provide opportunities to the students at the institution to develop and display their skills in various physical education activities. 

(b) To provide opportunities to the students for fun, enjoyment and to develop fellowship participation in sports competitions. 

(c) To provide opportunities to develop leadership and fellowership qualities. 

(d) To provide opportunity to students to release tension, depression and aggression. 

(e) To provide a feeling of achievement through sports participation which leads to mental and emotional health. 

(f) To provide students ample opportunities to develop their physical, mental, emotional and social health through participation in activities. 

(g) Players are benefitted by getting organizing and administrative experience of conducting intramural and extramural competitions. 

(h) To provide opportunities to the players of various teams to have exposure to the competition. 

(i) To provide opportunities to all the students of the same institution or other institutions to join a common platform and socialize. 

(j) It teaches the participants to respect the game, officials, opponents, spectators and accept victory or defeat with grace.

Correct option is  D) 120°

C₂H₄ is an alkene which is an unsaturated compound. It gives addition reaction.

For organizing 'Run of Unity' responsibilities for 

(a) Accredition, 

(b) Technical and, 

(c) Finance committee are as follows.

(a) Accredition Committee: It is over all responsible for organizing The 'Run for unity'. It has a set pattern and code of conduct to organise the event. It makes sure that ethics, rules, regulations are followed throughout the event management. It is an officially recognized body to conduct. 

(b) Technical Committee: This is the most important committee for conducting the event run smoothly. In this committee event officials are deputed well in advance. Competent persons are deputed and trained to ensure events in orderly manner. 

(c) Finance Committee: It is responsible for all financial receipts and expenditure, according to the budgetary plan works as per the directions of the school, authorities. 

To organise one day health run five important committees will be:

(a) Organising committee: It is headed by sports captain as overall in-charge of conducting the event. All the aspects of sporting events to be conducted are administered through this committee. 

(b) Reception committee: The responsibility of reception committee is to see that special invitees are welcomed and taken to the seats reserved for them. They plan to invite the guests well in advance and take care of their reception. 

(c) Transport committee: It looks after the transportation of School children and officials to the venue of sporting activity being organised. It takes care before, during and after the health run event. 

(d) Refreshment committee: It is formed to provide refreshment to the participants, officials and all those involved in the entire programme. It must be ensured that everyone gets refreshment. 

(e) Finance committee: It is responsible for all financial receipts and expenditure, etc. They should work as per budget plan. This committee makes all the payments. They must work as per the directions given by school, authorities. 

SP = Rs.100 

Gain = Rs.20 

CP = SP – Gain 

= 100 - 20 

= Rs.80

\(Gain\%=\frac{Gain\,\times\,100}{CP}\)

= \(\frac{20\,\times\,100}{80}\)

= 25%

First Discount = 20% 

Second Discount = 5% 

The formula for total discount in case of successive discounts:

If the first discount is x% and 2nd discount is y% then, 

Total Discount =

\([(x\,+\,y)-\frac{xy}{100}]\%\)

\([(20\,+\,5)-\frac{20\,\times\,5}{100}]\%\)

\((25-\frac{100}{100})\%\)

= 24%

1. True

2. False. Phloem consists of living cells containing cytoplasm.

3. False. Stratified squamous epithelium is present in the outer layer of skin.

4. False. Broiler chickens are raised for meat.

5. False. Cardiac muscles bring about contraction and relaxation of heart.

Correct option is: (c) Aseel

(d) Ornamental breeds – Silkie

Brahma is a dual purpose chicken breed?

Bioiler type: These are well known for fast growth and soft quality meat.

White Plymouth rock: They have white plumage throughout the body. It is commonly used in troiler production. This is an American breed. It is a fast growing breed and well suitable for growing intensively in confined farms.

(d) Cross breeding

Vermiwash is a liquid collected after the passage of water through a column of vermibed.

(b) Capture fishery

Artificial insemination

The correct answer is : Rs. 40,000

(i) 3⁰ 

3⁰ = 1 

(ii) 7^5-5 

7^5-5 

= 7⁰

= 1 

(iii) (- 2)^3-3 

= (- 2)^3-3 

= (- 2)⁰ 

= 1 

(iv) (2/3)^2+3-5

= (2/3)^2+3-5

= (2/3)⁰

= 1

(v) 2⁰ x 3⁰ 

2⁰ x 3⁰ 

= 1 x 1 

= 1 

(vi) 2⁰+ 5⁰ 

2⁰ + 5⁰ 

= 1 + 1 

= 2

Answer is    4

Answer is (A) 1

Answer is (A) 5

Correct option(A)

Explanation:

Given 10ⁿ + 3.4ⁿ⁺² +k is exactly divisible by 9,   

P(1) = 10¹+3.4¹⁺² +k = 2012 +k is exactly divisible by 9 then the value of k is 5.

For n = 1, P(1) : 65 + k is divisible by 64.

Thus k, should be – 1 since, 65 – 1 = 64 is divisible by 64.

• 7 से विभाज्य संख्याएँ 329623,25179,25137
• 11 से विभाज्य संख्याएँ 38632,25179,96283
• 13 से विभाज्य संख्याएँ 63271,492895

828, 2340, 100116 संख्याएँ 9 से विभाज्य है।

शेषफल 4,1, 0 तथा 0

893408 (क्योंकि इसके अंकों को जोड़, 32 जो विभाज्य नहीं है।)

सही विकल्प है (ख) 3050

हाँ , 722722 के अपवर्तक 7, 11और 13 हैं।

1. The concept of storing the data started before 40 years in various formats. 

2. In earlier days they have used punched card technology to store the data. 

3. Then files were used. The file systems were known as predecessor of database system.

4. Various access methods in file system were indexed, random and sequential access. 

5. The file systems has limitations like duplication, less security. To overcome this, DBMS was introduced.

1. High Availability 

2. High Performance 

3. Robust TrAnswer:actions and support 

4. Ease of management 

5. Less cost

IBM’s first DBMS is IMS.

In ER Model, relationship exists between two entities. The various types of relationships are;

1. One-to-One relationship. 

2. One-to-Many relationship. 

3. Many-to-Many relationship.

Privileges: 

1. Select_priv 

2. Insert_priv 

3. Update_priv 

4. Delete_priv 

5. Create_priv 

6. Alter_priv

Action Performed (If Granted):

1. User can select rows from database tables. 

2. User can insert rows into database tables. 

3. User can update rows of database tables. 

4. User can delete rows of database tables. 

5. User can create new tables in database. 

6. User can make changes to the database structure.

Plaster of Paris.

The correct answer is B) Sodium bicarbonate.

(a) False. Nose cannot use the spectacles, the spectacles uses the Nose to hold them in place.

(b) False. Though this is the verdict of the judge, but this defeats the basic purpose of the existence of the Eyes.

(c) True

(d) False. Spectacles are meant for the Eyes for providing ability to see since it is a sensory organ.

The dispute arose because both the Nose and the Eyes have important roles to play for the spectacles. The eyes use the spectacles to see the things and the Nose holds the spectacles to keep them in place. But unfortunately, both of them were not ready to accept the usefulness of each other for the spectacles and each was supposed to serve its own purpose. So, the dispute arose.