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

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X = 100 sinθ

X = 10 sinθ

X = 100 secθ

None of these

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2^x

2^xIn x

2^xIn 2

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5

15

10

20

Four cards are drawn at random from a pack of 52 playing cards. The probability of getting all the four cars of the same suit is

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44/4165

22/4165

11/4165

None of these

The liner equation ax + by = c is called _________ of the inequality ax +by > c.

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Associated equation

Non-associated equation

disjoint equation

Feasible equation

Multiplicative inverse of 0 is

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0

1

+-1

Does not exist

Two coins are tossed twice each. The probability that the head appears on the first toss and the same forces appear in the two tosses is

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1/4

1/2

1/3

1/7

The set of all points in the plane that are equally distant from a fixed point to called a

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Parabola

ellipse

Hyperbola

Circle

6 is

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A prime integar

An irrational number

A rational number

An odd integer

When a selection of object is made without paying regard to the order of selection, it is called

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Sequence

Series

Combination

Permutation

The value of x, and y, when (x + iy)²= 5 + 4i

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X = 2, y = 1

X = -2, y = 1

X = 2, y = -1

X = 2, y = 2

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-1

0

1

None of these

The period of the trigonometric function y = sin x cos x is

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2π

π

4π

π / 2

The A.M. of two numbers is 34 and G.M. is 16, the numbers are

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2 and 64

64 and 3

64 and 4

None of these

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The radius of the circle x²+ y² - 6 x + 4 y +13 = 0 , is

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1

2

0

None of these

(2, 1) is in the solution of the inequality

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2x + y > 7

x - y > 2

3x + 5y < 6

2x + y < 6

When rational fraction is separated into partial fractions, the result is

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an identity

A fraction

A partial sum

Improper fraction

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The middle term of (x-y)⁸is

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25 x⁴y⁴

70 x⁴y⁴

120 x⁴y⁴

97x⁴y⁴

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2 x 2

2 x 3

3 x 2

3 x 3

The magnitude of vector a=i-3j+5k is:

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3

√35

√17

√35

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0

1

If x - 2 is a factor of ax2- 12x + a = 2a, then a = ______

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-5

5

0

1

There are 25 tickets bearing number from 1 to 25. One ticket is drawn at random. The probability that the number on it is a multiple of 5 or 6 is

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7 / 25

9 / 25

11 / 25

None of these

1 + 2 + 3 + ...... + n = ______

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A fixed point which lies on the axis of the cone is called its:

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axis

apex

plane

diameter

The fifth term of (a+2x3)17 is

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4013 x3a13

2208a13 x12

223x7a18

38080a13 x12

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