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Commerce (English Medium) Class 12 - CBSE Important Questions

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A company manufactures two types of novelty souvenirs made of plywood. Souvenirs of type A
require 5 minutes each for cutting and 10 minutes each for assembling. Souvenirs of type B require 8 minutes each for cutting and 8 minutes each for assembling. There are 3 hours and 20 minutes available  for cutting and 4 hours available for assembling. The profit is Rs. 50 each for type A and Rs. 60 each  for type B souvenirs. How many souvenirs of each type should the company manufacture in order to  maximize profit? Formulate the above LPP and solve it graphically and also find the maximum profit. 

Appears in 2 question papers
Chapter: [12] Linear Programming
Concept: Methods to Solve LPP (Graphical / Corner Point Method)

A manufacturer has employed 5 skilled men and 10 semi-skilled men and makes two models A and B of an article. The making of one item of model A requires 2 hours of work by a skilled man and 2 hours work by a semi-skilled man. One item of model B requires 1 hour by a skilled man and 3 hours by a semi-skilled man. No man is expected to work more than 8 hours per day. The manufacturer's profit on an item of model A is ₹ 15 and on an item of model B is ₹ 10. How many items of each model should be made per day in order to maximize daily profit? Formulate the above LPP and solve it graphically and find the maximum profit.

Appears in 2 question papers
Chapter: [12] Linear Programming
Concept: Methods to Solve LPP (Graphical / Corner Point Method)

The corner points of the feasible region of a linear programming problem are (0, 4), (8, 0) and `(20/3, 4/3)`. If Z = 30x + 24y is the objective function, then (maximum value of Z – minimum value of Z) is equal to ______.

Appears in 2 question papers
Chapter: [12] Linear Programming
Concept: Methods to Solve LPP (Graphical / Corner Point Method)

Determine P(E|F).

Mother, father and son line up at random for a family picture

E: son on one end, F: father in middle

Appears in 2 question papers
Chapter: [13] Probability
Concept: Conditional Probability

Of the students in a school, it is known that 30% have 100% attendance and 70% students are irregular. Previous year results report that 70% of all students who have 100% attendance attain A grade and 10% irregular students attain A grade in their annual examination. At the end of the year, one student is chos~n at random from the school and he was found ·to have an A grade. What is the probability that the student has 100% attendance? Is regularity required only in school? Justify your answer

Appears in 2 question papers
Chapter: [13] Probability
Concept: Bayes’ Theorem

Five fair coins are tossed simultaneously. The probability of the events that at least one head comes up is ______.

Appears in 2 question papers
Chapter: [13] Probability
Concept: Independent Events

How many total matches will be played in a knock-out fixture of 19 teams?

Appears in 2 question papers
Chapter: [1] Management of Sporting Events
Concept: Procedure for Drawing Knock - Out Fixture

Match the following:

List I List II
I. Knock Knee/Genu Valgum 1. Increase exaggeration of backward curve
II. Kyphosis 2. Wide gap between the knees when standing with feet together
III. Lordosis 3. Knees touch each other in normal standing position
IV. Bow legs 4. Inward curvature of the spine

Choose the correct option from the following:

Appears in 2 question papers
Chapter: [2] Children and Women in Sports
Concept: Common Postural Deformities: Knock Knees

Suggest any four corrective measures for round shoulders.

Appears in 2 question papers
Chapter: [2] Children and Women in Sports
Concept: Common Postural Deformities: Round Shoulders

List down any four asanas used for the prevention of Hypertension. Explain the procedure and contraindication of any one of them with the help of a stick diagram.

Appears in 2 question papers
Chapter: [3] Yoga as Preventive Measure for Lifestyle Disease
Concept: Yoga Asanas to Prevent Hypertension

First Deaflympic Games was organized in the year ______.

Appears in 2 question papers
Chapter: [4] Physical Education and Sport for Children with Special Needs
Concept: Organizations Promoting Disability Sports: Deaflympics

Match the following:

List-I List-II
I. Plate Tapping Test 1. Upper body strength endurance of boys
II. Push-up 2. Speed and coordination of limb movement/Reaction time
III. Partial Curl up 3. Upper body strength endurance of girls
IV. Modified push-up 4. Abdominal strength

Choose the correct option from the following:

Appears in 2 question papers
Chapter: [6] Test and Measurement in Sports
Concept: Fitness Test – SAI Khelo India Fitness Test in School

Make a table of test items listed under fitness test by SAI (Age group 9-18 yrs).

Appears in 2 question papers
Chapter: [6] Test and Measurement in Sports
Concept: Fitness Test – SAI Khelo India Fitness Test in School

Explain the procedure and scoring of 50 MTS Run.

Appears in 2 question papers
Chapter: [6] Test and Measurement in Sports
Concept: 50 MTR Dash (Standing Start)

Explain the procedure and scoring of partial curl-up.

Appears in 2 question papers
Chapter: [6] Test and Measurement in Sports
Concept: Abdominal (Partial Curl-up)

Elucidate any six effects of exercise on muscular system.

Appears in 2 question papers
Chapter: [7] Physiology and Injuries in Sports
Concept: Effect of Exercise on Muscular System

Which of the following is NOT the factor affecting projectile trajectory?

Appears in 2 question papers
Chapter: [8] Biomechanics and Sports
Concept: Factors Affecting Projectile Trajectory/ Flight Path in Sports

The ability to tolerate higher concentrations of ______ can help in improving endurance performance.

Appears in 2 question papers
Chapter: [10] Training in Sports
Concept: Methods to Develop Endurance

Explain any two methods to develop flexibility.

Appears in 2 question papers
Chapter: [10] Training in Sports
Concept: Methods to Improve Flexibility

Describe any four consequences of the disintegration of Soviet Union

Appears in 2 question papers
Chapter: [1.1] Cold War Era
Concept: Disintegration of the Soviet Union and Its Impact Or Consequences on the World Order
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