NAT IIP Physical Science Mathematics Hard Test

The circle (x-2)²+ (y+3)²= 4 is not concentric with the circle

• (x-2)²+ (y+3)²= 9 A
• (x+2)²+ (y-3)²= 4 B
• (x-2)²+ (y+3)²= 8 C
• (x-2)²+ (y+3)²= 5 D

If A and B are two events, then P(AUB) = ? (when A and B are disjoint)

• P(A) - P(B) A
• P(A) x P(B) B
• P(A)+P(B) C
• 
  D

The sum of the interior angles for a 16 sided polygon is

• 4 pie A
• 14 pie B
• 8 pie C
• 2 pie D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The nth term in G.P 3,-6,12,....................... is

• 3(-2)^n-1 A
• 2(-2)ⁿ⁺¹ B
• 3(-2)ⁿ C
• 4(-2)^n-1 D

• 
  A
• 
  B
• 
  C
• 
  D

• An irrational number A
• Whole number B
• A positive integer C
• A rational number D

The value of the polynomial 3x³+ 4x²- 5x + 4 at x = -1 is

• 12 A
• 1 B
• 10 C
• -10 D

• 
  A
• 
  B
• 
  C
• 
  D

If the 19th term of A.P is 8 and the 4th term is 20, then the first term is

• 20.2 A
• 25.5 B
• 27.5 C
• 37.5 D

If a statement S(n) is true for n = 1 and the truth of S(n) for n + K implies the truth of S(n) for S(n) = K + 1, then S(n) true for all

• All Real numbers A
• All integers B
• Positive integers C
• All complex numbers D

• 15 A
• 60 B
• 90 C
• 20 D

Two dice are rolled. The number of possible outcome in which at least one die shows 2 is?

• 5 A
• 12 B
• 11 C
• 7 D

If the sum of the roots of the equation ax²- 2x + 2a = 0 is equal to their product, then the value of a is

• 1 A
• 2 B
• 3 C
• 4 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

How many elements are in the sample space of two rolling dies

• 6 A
• 12 B
• 18 C
• 36 D

• 
  A
• 
  B
• 
  C
• 
  D

• Unit matrix A
• Diagonal matrix B
• Nilpotent matrix C
• Zero matrix D

• 
  A
• 
  B
• 
  C
• 
  D