# HSC Commerce: Marketing and Salesmanship 12th Standard Board Exam - Maharashtra State Board Important Questions for Mathematics and Statistics

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Write the converse, inverse, and contrapositive of the following statement.

"If it snows, then they do not drive the car"

Appears in 3 question papers
Chapter: [0.01] Mathematical Logic
Concept: Statement Patterns and Logical Equivalence

Write the converse, inverse, and contrapositive of the following statement.

"If it snows, then they do not drive the car"

Appears in 3 question papers
Chapter: [0.011000000000000001] Mathematical Logic
Concept: Statement Patterns and Logical Equivalence

For manufacturing x units, labour cost is 150 – 54x and processing cost is x2. Price of each unit is p = 10800 – 4x2. Find the value of x for which Total cost is decreasing.

Appears in 3 question papers
Chapter: [0.013999999999999999] Applications of Derivatives
Concept: Increasing and Decreasing Functions

For manufacturing x units, labour cost is 150 – 54x and processing cost is x2. Price of each unit is p = 10800 – 4x2. Find the values of x for which Revenue is increasing.

Appears in 3 question papers
Chapter: [0.013999999999999999] Applications of Derivatives
Concept: Increasing and Decreasing Functions

Choose the correct alternative:

int (x + 2)/(2x^2 + 6x + 5) "d"x = "p"int (4x + 6)/(2x^2 + 6x + 5) "d"x + 1/2 int 1/(2x^2 + 6x + 5)"d"x, then p = ?

Appears in 3 question papers
Chapter: [0.015] Integration
Concept: Methods of Integration: Integration Using Partial Fractions

If the population of a town increases at a rate proportional to the population at that time. If the population increases from 40 thousand to 60 thousand in 40 years, what will be the population in another 20 years? ("Given" sqrt(3/2) = 1.2247)

Appears in 3 question papers
Chapter: [0.018000000000000002] Differential Equation and Applications
Concept: Application of Differential Equations

If x = a sin 2t (1 + cos2t) and y = b cos 2t (1 – cos 2t), find the values of  dy/dx at t = pi/4

Appears in 3 question papers
Chapter: [0.04] Differentiation
Concept: Derivatives of Functions in Parametric Forms

For manufacturing x units, labour cost is 150 – 54x and processing cost is x2. Price of each unit is p = 10800 – 4x2. Find the value of x for which Total cost is decreasing.

Appears in 3 question papers
Chapter: [0.05] Applications of Derivative
Concept: Increasing and Decreasing Functions

For manufacturing x units, labour cost is 150 – 54x and processing cost is x2. Price of each unit is p = 10800 – 4x2. Find the values of x for which Revenue is increasing.

Appears in 3 question papers
Chapter: [0.05] Applications of Derivative
Concept: Increasing and Decreasing Functions

A bill of Rs.7,500 was discounted for Rs. 7,290 at a bank on 28th October 2006. If the rate of interest was 14% p.a., what is the legal due date ?

Appears in 3 question papers
Chapter: [0.09] Commission, Brokerage and Discount
Concept: Commission, Brokerage and Discount

From the following table which relates to the number of animals of a certain
species at age x. complete the life table :

 x 0 1 2 3 4 5 lx 1000 850 760 360 25 0
Appears in 3 question papers
Chapter: [0.11] Demography
Concept: Life Tables

Examine whether the following statement pattern is a tautology, a contradiction or a contingency.

(p ∧ ~ q) → (~ p ∧ ~ q)

Appears in 2 question papers
Chapter: [0.01] Mathematical Logic
Concept: Statement Patterns and Logical Equivalence

Use quantifiers to convert the following open sentences defined on N, into a true statement.

n2 ≥ 1

Appears in 2 question papers
Chapter: [0.011000000000000001] Mathematical Logic
Concept: Quantifier and Quantified Statements in Logic

Examine whether the following statement pattern is a tautology, a contradiction or a contingency.

(p ∧ ~ q) → (~ p ∧ ~ q)

Appears in 2 question papers
Chapter: [0.011000000000000001] Mathematical Logic
Concept: Statement Patterns and Logical Equivalence

Choose the correct alternative:

The false statement in the following is ______.

Appears in 2 question papers
Chapter: [0.011000000000000001] Mathematical Logic
Concept: Truth Value of Statement

The price P for demand D is given as P = 183 + 120 D – 3D2.
Find D for which the price is increasing.

Appears in 2 question papers
Chapter: [0.013999999999999999] Applications of Derivatives
Concept: Increasing and Decreasing Functions

Find the area of the region bounded by the parabola y2 = 4x and the line x = 3.

Appears in 2 question papers
Chapter: [0.017] Applications of Definite Integration
Concept: Area Under Simple Curves

For the differential equation, find the particular solution (x – y2x) dx – (y + x2y) dy = 0 when x = 2, y = 0

Appears in 2 question papers
Chapter: [0.018000000000000002] Differential Equation and Applications
Concept: Differential Equations

Obtain the differential equation by eliminating arbitrary constants from the following equation:

y = Ae3x + Be–3x

Appears in 2 question papers
Chapter: [0.018000000000000002] Differential Equation and Applications
Concept: Formation of Differential Equation by Eliminating Arbitary Constant

Choose the correct alternative.

The difference between face value and present worth is called ______.

Appears in 2 question papers
Chapter: [0.021] Commission, Brokerage and Discount
Concept: Discount
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