Question # 1

A farmer possesses 100 hectometers of land and wants to grow corn and wheat. Cultivations of corn requires 3 hours per hectometer while cultivation of wheat requires 2 hours per hectometer. Working hours cannot exceed 240. If he gets a profit of Rs. 20 per hectometer for corn and Rs. 15 per hectometer for wheat. The profit function for the farmer is

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P(x, y) = 20x + 15y

P(x, y) = 2x + 3y

P(x, y) = x + y

P(x, y) = 3x + 2y

sin (α+β) - sin (α -β) =

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4 cosαsinβ

2 cosαsinβ

4 cosαcosβ

4 sin αsinβ

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

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none of these

The exponent of x in 10th term in the expansion of (a+x)n

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10

12

11

9

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none of these

Matrices are represented by

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Natural numbers

Real numbers

Small letters

Capital letters

Φ set is the _______ of all sets

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Subset

Union

Universal

Intersection

If the sum of co-efficient in the expansion of (a+b)ⁿis 4096, then the greatest co-efficient in the expansion is

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1594

792

924

2924

If A=B, then

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A⊂B and B⊂A

A⊆B and B⊈A

A⊆B and B⊆A

None of these

QUQ, =

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N

R

W

Z

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