NAT IIP Physical Science Mathematics Preparation Online Test for Pakistani Students

In a school, there are 150 students. Out of these 80 students enrolled for mathematics class, 50 enrolled for English class, and 60 enrolled for Physics class. The student enrolled for English cannot attend any other class, but the students of mathematics and Physics can take two courses at a time. Find the number of students who have taken both physics and mathematics

• 40 A
• 30 B
• 50 C
• 20 D

If 4 - x > 5, then

• x > 1 A
• x > -1 B
• x < 1 C
• x < -1 D

• 
  A
• 
  B
• 
  C
• 
  D

If ab > 0 and a < 0, which of the following is negative?

• b A
• -b B
• -a C
• (a - b)² D

• 1/2 A
• 3/5 B
• 4/5 C
• 1 D

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• -2 B
• 1 C
• 4 D

Unit vector in the positive direction of x-axis is

• 
  A
• 
  B
• 
  C
• All D

Ifα andβ be irrational roots of a quadratic equation, then

• 
  A
• 
  B
• 
  C
• 
  D

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

• X = 2, y = -1 A
• X = -2, y = 1 B
• X = 2, y = -1 C
• X = 2, y = 2 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

• Nilpotent matrix A
• Singular matrix B
• Non singular matrix C
• Diagonal matrix D

• A linear equation A
• A cubic equation B
• A quadratic equation C
• An equation for circle D

If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a

• Parabola A
• Circle B
• Hyperbola C
• Ellipse 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