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Question Bank Solutions for HSC Commerce (Marathi Medium) 12th Board Exam [इयत्ता १२ वि] - Maharashtra State Board - Mathematics and Statistics

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The total cost of manufacturing x articles is C = 47x + 300x2 - x4.  Find x, for which average cost is increasing

[0.05] Applications of Derivative
Chapter: [0.05] Applications of Derivative
Concept: Increasing and Decreasing Functions

Choose the correct alternative :

If p : He is intelligent.
q : He is strong
Then, symbolic form of statement “It is wrong that, he is intelligent or strong” is

[0.011000000000000001] Mathematical Logic
Chapter: [0.011000000000000001] Mathematical Logic
Concept: Mathematical Logic > Truth Value of Statement in Logic

Choose the correct alternative :

If p and q are two statements then (p → q) ↔ (∼ q → ∼ p) is

[0.011000000000000001] Mathematical Logic
Chapter: [0.011000000000000001] Mathematical Logic
Concept: Mathematical Logic > Truth Value of Statement in Logic

State whether the following statement is True or False :

x2 = 25 is true statement.

[0.011000000000000001] Mathematical Logic
Chapter: [0.011000000000000001] Mathematical Logic
Concept: Mathematical Logic > Truth Value of Statement in Logic

Form the differential equation from the relation x2 + 4y2 = 4b2

[0.018000000000000002] Differential Equation and Applications
Chapter: [0.018000000000000002] Differential Equation and Applications
Concept: Differential Equations

Find the rate of change of demand (x) of a commodity with respect to its price (y) if y = `(5x + 7)/(2x - 13)`

[0.013000000000000001] Differentiation
Chapter: [0.013000000000000001] Differentiation
Concept: Derivatives of Composite Functions - Chain Rule

Find the equation of tangent to the curve y = `sqrt(x - 3)` which is perpendicular to the line 6x + 3y – 4 = 0

[0.013999999999999999] Applications of Derivatives
Chapter: [0.013999999999999999] Applications of Derivatives
Concept: Introduction of Derivatives

A retailer sold a suit for ₹ 8,832 after allowing 8% discount on marked price and further 4% cash discount. If he made 38% profit, find the cost price and the marked price of the suit.

[0.021] Commission, Brokerage and Discount
Chapter: [0.021] Commission, Brokerage and Discount
Concept: Commission and Brokerage Agent

The rate of premium is 2% and other expenses are 0.075%. A cargo worth ₹3,50,100 is to be insured so that all its value and the cost of insurance will be recovered in the event of total loss.

[0.022000000000000002] Insurance and Annuity
Chapter: [0.022000000000000002] Insurance and Annuity
Concept: Concept of Insurance

Choose the correct alternative:

Regression analysis is the theory of

[0.023] Linear Regression
Chapter: [0.023] Linear Regression
Concept: Regression

Choose the correct alternative:

We can estimate the value of one variable with the help of other known variable only if they are

[0.023] Linear Regression
Chapter: [0.023] Linear Regression
Concept: Regression

Choose the correct alternative:

There are ______ types of regression equations

[0.023] Linear Regression
Chapter: [0.023] Linear Regression
Concept: Regression

Choose the correct alternative:

In the regression equation of X on Y

[0.023] Linear Regression
Chapter: [0.023] Linear Regression
Concept: Regression

Solve the following problem :

A dairy plant has five milk tankers, I, II, III, IV and V. These milk tankers are to be used on five delivery routes A, B, C, D and E. The distances (in kms) between the dairy plant and the delivery routes are given in the following distance matrix.

  I II III IV V
A 150 120 175 180 200
B 125 110 120 150 165
C 130 100 145 160 175
D 40 40 70 70 100
E 45 25 60 70 95

How should the milk tankers be assigned to the chilling center so as to minimize the distance travelled?

[0.027000000000000003] Assignment Problem and Sequencing
Chapter: [0.027000000000000003] Assignment Problem and Sequencing
Concept: Assignment Problem

A sample of 4 bulbs is drawn at random with replacement from a lot of 30 bulbs which includes 6 defectives bulbs. Find the probability distribution of the number of defective bulbs

[0.14] Random Variable and Probability Distribution
Chapter: [0.14] Random Variable and Probability Distribution
Concept: Random Variables and Its Probability Distributions

A random variable X has the following probability distribution:

x 1 2 3 4 5 6 7
P(x) k 2k 2k 3k k2 2k2 7k2 + k

Determine P(X > 4)

[0.14] Random Variable and Probability Distribution
Chapter: [0.14] Random Variable and Probability Distribution
Concept: Random Variables and Its Probability Distributions

Two dice are thrown simultaneously. If X denotes the number of sixes, find the expectation of X

[0.027999999999999997] Probability Distributions
Chapter: [0.027999999999999997] Probability Distributions
Concept: Mean of a Random Variable

A die is thrown 4 times. If ‘getting an odd number’ is a success, find the probability of 2 successes

[0.14] Random Variable and Probability Distribution
Chapter: [0.14] Random Variable and Probability Distribution
Concept: Random Variables and Its Probability Distributions

A die is thrown 4 times. If ‘getting an odd number’ is a success, find the probability of at least 3 successes

[0.14] Random Variable and Probability Distribution
Chapter: [0.14] Random Variable and Probability Distribution
Concept: Random Variables and Its Probability Distributions

A die is thrown 4 times. If ‘getting an odd number’ is a success, find the probability of at most 2 successes

[0.14] Random Variable and Probability Distribution
Chapter: [0.14] Random Variable and Probability Distribution
Concept: Random Variables and Its Probability Distributions
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Question Bank Solutions for HSC Commerce (Marathi Medium) 12th Board Exam [इयत्ता १२ वि] Maharashtra State Board Mathematics and Statistics. You can further filter Question Bank Solutions by subjects and topics. Solutions for most of the questions for Maharashtra State Board can be found here on Shaalaa.com. You can use these solutions to prepare for your studies and ace in exams. Solving questions is a great way to practice and with Shaalaa.com, you can answer a question and then also check your answer with the solutions provided.
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