Binomial Theorem

8 Questions | Total Attempts: 646

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Binomial Theorem Quizzes & Trivia

Questions on binomial theorem


Questions and Answers
  • 1. 
    • A. 

      56

    • B. 

      55

    • C. 

      47

    • D. 

      19

  • 2. 
    If A and B are coefficients of x^n in the expansions of (1+x)^2n and (1+x)^2n-1 respectively , then  (hint:take the ratio of coefficients)
    • A. 

      A=B

    • B. 

      A=2B

    • C. 

      2A=B

    • D. 

      None of these

  • 3. 
     The terms independent of x in [ (3x^2)/2 - (1/3x )]^9 is
    • A. 

      Term 5

    • B. 

      Term 6

    • C. 

      Term 7

    • D. 

      None of these

  • 4. 
    The middle term in the expansion of (x^2 - 2/x)^10 is
    • A. 

      -7362x^4

    • B. 

      -8064x^5

    • C. 

      -2982x^5

    • D. 

      5324x^4

  • 5. 
    The total number of terms in the expansion (x+a)^200 + (x-a)^200 after simplification is
    • A. 

      201

    • B. 

      202

    • C. 

      101

    • D. 

      102

  • 6. 
    The number of terms in the expansion of (x^2 +6x + 9)^30 is(simplest of the lot)
    • A. 

      30

    • B. 

      29

    • C. 

      32

    • D. 

      31

  • 7. 
    The remainder when 2^2000 is divided by 17 is
    • A. 

      1

    • B. 

      2

    • C. 

      8

    • D. 

      None of these

  • 8. 
    Sum of the last 20 coefficients in the expansion of (1+x)^39, when expanded in ascending powers of x, is
    • A. 

      2^19

    • B. 

      2^18

    • C. 

      40C20 - 20^19

    • D. 

      2^38