NAT IIP Physical Science Mathematics Preparation Online Test for Pakistani Students

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  D

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Every prime number is also

• Rational number A
• even number B
• Irrational number C
• multiple of two numbers D

Which is an explicit function

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  A
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  B
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  C
• All D

Sin(a + b) + Sin (a - b) =

• Sin a Cos b A
• Sin a Sin b B
• Sin a + Cos b C
• Sin a - 2 Cos b D

Unit vector in the positive direction of x-axis is

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  A
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  B
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  C
• All D

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  D

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  D

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

• P(x,y) = 20x + 15y A
• P(x,y) = 2x + 3y B
• P(x,y) = x + y C
• P(x,y) = 3x + 2y D

The gradient of the line joining (1, 4) and (-2, 5) is

• 3/8 A
• -2 2/3 B
• -1/3 C
• 2 D

If A and B are matrices such that AB=BA=I then

• A and B are multiplicative inverse of each other
  A
• A and B are additive inverses of each other
  B
• . A and B are singular matrices C
• A and B are equal D

If f₁(x) and f₂(x) are any two anti derivatives of a function F (x), then the value of f₁(x) - f₂(x) =

• A variable A
• A constant B
• undefined C
• infinity D

The perpendicular bisector of any chord of a circle

• Passes through the centre of the cirle A
• Does not pass through the centre of the circle B
• May or may not pass through the centre of the cirlce C
• None of these D

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  B
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  D

• 15 A
• 15 i B
• -15 i C
• -15 D