First Year Mathematics Chapter 8 Online MCQ Test for 1st Year Mathematics Chapter 8 Mathematical Inductions and Binomial Theorem Preparation

If n is a positive integer, then the binomial co-efficient equidistant form the beginning and the end in the expansion of (x+a)ⁿ are:

• same A
• not same B
• additive inverse of each other C
• none of these D

Number of terms in the expansion of (a+b)ⁿ is:

• n A
• n+1 B
• n-1 C
• none of these D

• T₆ A
• T₇ B
• T₈ C
• T₅ D

In binomial expansion of (a+b)ⁿ, n is positive integer the sum of odd coefficients equals:

• 
  A
• 
  B
• 
  C
• none of these D

In binomial expansion of (a+b)n, n is positive integer the sum of even coefficients equals:

• 
  A
• 
  B
• 
  C
• none of these D

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

• integers n A
• real numbers n B
• positive real numbers n C
• positive integers n D

The middle term in the expansion of (a+b)²⁰ is;

• 10^th term A
• 11^thterm B
• 12^thterm C
• 13^thterm D

Number of terms in the expansion of (x+y)⁶ is:

• 7 A
• 6 B
• 2 C
• 8 D

• 2x A
• x² B
• 1 C
• none of these D

The middle term in the expansion of (1+x)^1/2 is:

• T₂ A
• T₃ B
• does not exist C
• none of these D

In binomial expansion (a+b)ⁿ, n is positive integer the sum of coefficients equals:

• 
  A
• 
  B
• 
  C
• none of these D

The middle terms of (x+y)²³ are:

• T₁₀,T₁₁ A
• T₁₁,T₁₂ B
• T₁₂,T₁₃ C
• none of these D

The middle term of (x-y)¹⁸ is:

• 9th A
• 10th B
• 11th C
• none of these D