Arts (English Medium) कक्षा १२ - CBSE Important Questions

Find graphically, the maximum value of z = 2x + 5y, subject to constraints given below :

2x + 4y ≤ 83

x + y ≤ 6

x + y ≤ 4

x ≥ 0, y≥ 0

A manufacturing company makes two types of teaching aids A and B of Mathematics for class XII. Each type of A requires 9 labour hours for fabricating and 1 labour hour for finishing. Each type of B requires 12 labour hours for fabricating and 3 labour hours for finishing. For fabricating and finishing, the maximum labour hours available per week are 180 and 30, respectively. The company makes a profit of Rs 80 on each piece of type A and Rs 120 on each piece of type B. How many pieces of type A and type B should be manufactured per week to get maximum profit? Make it as an LPP and solve graphically. What is the maximum profit per week?

A small firm manufactures necklaces and bracelets. The total number of necklaces and bracelets that it can handle per day is at most 24. It takes one hour to make a bracelet and half an hour to make a necklace. The maximum number of hours available per day is 16. If the profit on a necklace is Rs 100 and that on a bracelet is Rs 300. Formulate on L.P.P. for finding how many of each should be produced daily to maximize the profit?

It is being given that at least one of each must be produced.

The objective function Z = ax + by of an LPP has maximum vaiue 42 at (4, 6) and minimum value 19 at (3, 2). Which of the following is true?

Solve the following Linear Programming Problem graphically:

Maximize: P = 70x + 40y

Subject to: 3x + 2y ≤ 9,

3x + y ≤ 9,

x ≥ 0,y ≥ 0.

What is the purpose of Rikli and Jones fitness test? Explain the procedure of any two test items in detail.

Elucidate any four types of fractures.

With the help of suitable examples, discuss the application of Newton’s Laws of Motion in sports.

Assertion (A): Aggression is part of human behaviour and is necessary for an individual to live and struggle for higher achievements.

Reason (R): Aggression is inevitable and inseparable in sport activities.

In the context of the above two statements, which one of the following is correct?

Define strength.

List down the types of flexibility.

Examine any six consequences of the disintegration of USSR.

Which one of the following countries was NOT a part of the Soviet Union?

“The ‘Arab Spring’ was the people’s revolution against injustice.” Support the statement with any two examples.

On 19^th March 2003, the US launched its invasion of Iraq the code name ______.

Study the given cartoon carefully and answer the questions that follow: 

1. The soldier shown in the cartoon belongs to which one of the following countries?
   1. USSR
   2. USA
   3. Iraq
   4. Iran
2. In which year was Iraq attacked under the code name ‘Operation Iraqi Freedom'?
   1. 1993
   2. 2000 
   3. 2003
   4. 2008
3. Which one of the following countries shown on the cartoon is a ‘Gulf country’?
   1. Iran
   2. Kazakhstan
   3. Pakistan
   4. Oman
4. The First Gulf War is also known as ______.
   1. Smart War
   2. Operation Liberation
   3. Computer War
   4. Operation Enduring Freedom

The objective of ASEAN is not restricted only to accelerating economic growth. Explain the statement.

Evaluate any three steps taken by the Chinese leadership for the growth of Chinese economy.

Study the given cartoon carefully and answer the questions that follow: 

1. To which country are these two cartoons related?
   1. Japan
   2. Vietnam
   3. South Korea
   4. China
2. Red Book is related to which ideology?
   1. Capitalism
   2. Communism
   3. Humanism
   4. Terrorism
3. What does the 'Red Power Tie' depict?
   1. Negation of communism
   2. Acceptance of Capitalism
   3. Coordination of communism with Capitalism
   4. Negation of Capitalism
4. What is the difference between 'then' and 'now' as per the cartoon?
   1. 'Rigidity' has increased now in the ideology of 'then'.
   2. Rigidity has decreased 'now' in the ideology of 'then'.
   3. The leader under 'then' and the leader under 'now' belong to different political parties.
   4. The leader under 'then' and the leader under 'now' belong to different organisations.

Name any four countries that are included in South Asia.