Algebra Important Questions

11th Standard

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Business Maths

Time : 01:00:00 Hrs
Total Marks : 50
    5 x 1 = 5
  1. If nC3 = nC2, then the value of nC4 is

    (a)

    2

    (b)

    3

    (c)

    4

    (d)

    5

  2. The value of n, when nP2 = 20 is

    (a)

    3

    (b)

    6

    (c)

    5

    (d)

    4

  3. The number of ways selecting 4 players out of 5 is

    (a)

    4!

    (b)

    20

    (c)

    25

    (d)

    5

  4. If nPr = 720 (nCr), then r is equal to

    (a)

    4

    (b)

    5

    (c)

    6

    (d)

    7

  5. The possible out comes when a coin is tossed five times

    (a)

    25

    (b)

    52

    (c)

    10

    (d)

    \(\frac { 5 }{ 2 } \)

  6. 6 x 2 = 12
  7. Expand the following by using binomial theorem.\(\left( x+\frac { 1 }{ y } \right) ^{ 7 }\)

  8. Expand the following by using binomial theorem.\({ \left( x+\frac { 1 }{ { x }^{ 2 } } \right) }^{ 6 }\)

  9. Evaluate the following using binomial theorem:(101)4

  10. ResoIve into partial fractions :\(\frac { 12x-17 }{ (x-2)(x-1) } \)

  11. In a railway compartment, 6 seats are vacant on a bench. In how many ways can 3 passengers sit on them?

  12. Evaluate\(\frac { 1 }{ 5! } +\frac { 1 }{ 6! } +\frac { 1 }{ 7! } \)

  13. 6 x 3 = 18
  14. Find the 5th term in the expansion of (x - 2y)13.

  15. Resolve into partial fractions for the following:
    \(\frac { 2x^{ 2 }-5x-7 }{ (x-2)^3 } \)

  16. Resolve into partial fractions for the following:
    \(\frac { { x }^{ 2 }-3 }{ (x+2)({ x }^{ 2 }+1) } \)

  17. There are 6 gentlemen and 4 ladies to line at a round table. In how many ways can they seat themselves so that no two ladies together?

  18. In how many ways can n prizes be given to n boys, when a boy may receive any number of prizes?

  19. In how many ways can 12 things be equally divided among 4 persons?

  20. 3 x 5 = 15
  21. Prove that the term independent of x in the expansion of \({ \left( x+\frac { 1 }{ x } \right) }^{ 2n }is\quad \frac { 1.3.5.....,(2n-1){ 2 }^{ n } }{ n! } \)

  22. If nP4=12(nP2) find n.

  23. If m parallel lines in a plane are intersected by a family of n parallel lines. Find the number of parallelogram formed?

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