NAT IIP Physical Science Mathematics Preparation Online Test for Pakistani Students

If -1 < x < 0, which of the following statements must be true?

• x < x²< x³ A
• x < x³< x² B
• x²< x³< x C
• x²< x < x³ D

If in isosceles right angled triangle, one side is a then hypotenuse is

• 
  A
• 
  B
• a C
• cannot be determined by given information D

Total number of terms in the expansion of (a + b)⁵+ (a - b)⁵after simplification are

• 3 A
• 1 B
• 4 C
• 7 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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If A and B are matrices of same order than (,A + B)(A + B) =

• A²+ B² A
• A²+ B²+ 2AB B
• A + B C
• A²+ B²+ AB + BA 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

The set of complex numbers forms a group under the binary operation of

• Addition A
• Multiplication B
• Division C
• Subtraction D

If P(E) is the probability that can event will occur, then P(E) =

• 1 A
• 0.5 B
• 2 C
• 0 D

The curves y = x², y = x intersect at

• (0,0) , (1, 1) A
• (2, 4) B
• 
  C
• (0,3), (-1, 1) D

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 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

• 
  A
• 
  B
• 
  C
• None of these D

What is a proper rational fraction?

• 
  A
• 
  B
• 
  C
• All are proper rational fractions D