NAT IIP Physical Science Mathematics Preparation Online Test for Pakistani Students

A die is thrown. What is the probability that there is a prime number on the top?

• 1/2 A
• 1/3 B
• 1/6 C
• 2/3 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

Every prime number is also

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

The values of n such that, in the binomial expansion of (1 - x)ⁿ, co-efficient of x², co-efficient of x²is 3, are

• -2, -3 A
• 2, -3 B
• -2, 3 C
• None of these D

• 0 A
• -25 B
• 5 C
• 45 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

Which of the following integrals can be evaluated

• 
  A
• 
  B
• 
  C
• 
  D

Sin x + Cos x = 1 x =

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The curves y = x², y = x intersect at

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