If Cn + 220 = Cn -  220, t

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 Multiple Choice QuestionsMultiple Choice Questions

11.

What is 4C47 + 3C51 + 3C50 + 3C49 + 3C48 + 3C47 = ?

  • 4C47

  • 5C52

  • 4C52

  • C475


12.

If the constant term in the expansion of x - kx210 is 405, then what can be the value of k ?

  • ± 2

  • ± 3

  • ± 5

  • ± 9


13.

Let A U B = xx - ax - b > 0, where a < b. What are A and B = ?

  • A = {x|x > a} and B = {x|x > b}

  • A = {x|x < a} and B = {x|x > b}

  • A = {x|x < a} and B = {x|x < b}

  • A = {x|x > a} and B = {x|x < b}


14.

If Prn = 2520 and  Crn = 21, then  what is the value of  Cr + 1n + 1 = ?

  • 7

  • 14

  • 28

  • 56


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15.

The mean weight of 150 students in a certain class is 60 kg. The mean weight of boys is 70 kg and that of girls is 55 kg. What are the number of boys and girls respectively in the class?

  • 75 and 75

  • 50 and 100

  • 70 and 80

  • 100 and 50


16.

What is the maximum number of points of intersection of 5 non-overlapping circles ?

  • 10

  • 15

  • 20

  • 25


17.

What is the number of ways in which the letters of the word ‘ABLE’ can be arranged So that the Vowels occupy even places ?

  • 2

  • 4

  • 6

  • 8


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18.

If Cn +220 = Cn - 220, then what is n equal to ?

  • 18

  • 25

  • 10

  • 12


C.

10

If Cn +220 = Cn - 220 ...(i)

We know that if Cxn = Cyn

⇒ n = x + y

From Eq. (i)

⇒ 20 = n + 2 + n 2

⇒ 20 = 2n

⇒   n = 10


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