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HSC Commerce (English Medium) १२ वीं कक्षा - Maharashtra State Board Question Bank Solutions

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In a factory there are six jobs to be performed each of which should go through two machines A and B in the order A - B. The processing timing (in hours) for the jobs arc given here. You are required to determine the sequence for performing the jobs that would minimize the total elapsed time T. What is the value of T? Also find the idle time for machines · A and B.

Jobs J1 J2 J3 J4 J5 J6
Machine A 1 3 8 5 6 3
MAchine B 5 6 3 2 2 10
[15] Assignment Problem and Sequencing
Chapter: [15] Assignment Problem and Sequencing
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Feasible region is the set of points which satisfy ______.

[14] Linear Programming
Chapter: [14] Linear Programming
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Choose the correct option from the given alternatives:

The solution of `1/"x" * "dy"/"dx" = tan^-1 "x"` is

[8] Differential Equation and Applications
Chapter: [8] Differential Equation and Applications
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State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

A triangle has ‘n’ sides.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
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State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

The sum of interior angles of a triangle is 180°

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

You are amazing!

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
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State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

Please grant me a loan.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

`sqrt(-4)` is an irrational number.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

x2 − 6x + 8 = 0 implies x = −4 or x = −2.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

He is an actor.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

Did you eat lunch yet?

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
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State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

Have a cup of cappuccino.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

(x + y)2 = x2 + 2xy + y2 for all x, y ∈ R. 

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

Every real number is a complex number.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

1 is a prime number.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

With the sunset the day ends.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

1 ! = 0

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

3 + 5 > 11

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

The number π is an irrational number.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

x2 - y2 = (x + y)(x - y) for all x, y ∈ R.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined
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