Let n > 2 be an integer. Suppose that there are n Metro statio

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 Multiple Choice QuestionsMultiple Choice Questions

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221.

Let n > 2 be an integer. Suppose that there are n Metro stations in a city located around a circular path. Each pair of nearest stations is connected by a straight track only. Further, each pair of nearest station is connected by blue line, whereas all remaining pairs of stations are connected by red line. If number of red lines is 99 times the number of blue lines, then the value of n is

  • 199

  • 101

  • 201

  • 200


C.

201

Two consecutive stations = nTwo non consecutive stations = nC2  n nC2  n = 99n nn - 12 - n =99n n2 - n2 = 100n n2 = 201n   n = 201


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 Multiple Choice QuestionsShort Answer Type

222.

If the variance of the terms in an increasing A.P. b1, b2, b3, ... , b11 is 90, then the common difference of this A.P. is


 Multiple Choice QuestionsMultiple Choice Questions

223.

If T1, T2, T3 .... are in A.P. such thatT1 + T2 + ... + T25 = T28 +T27 + ... T40 and first term is 3 then value of common difference of A.P. is 

  • 12

  • 16

  • 2

  • 3


224.

S = 2 P01 - 3P12 + 4P23 + ... 51 terms + 1! +2! + 3! - 4! + ...51terms, find S

  • 1 + 51!

  • 1 + 52!

  • 1 + (50)51!

  • 1 + (51)51!


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225.

If m arithmetic means (A.Ms) and three geometric means (G.Ms) are inserted between 3 and 243 such that 4th A.M. is equal to 2nd G.M., then m is equal to :


 Multiple Choice QuestionsMultiple Choice Questions

226.

If 1 + 1 - 22 . 1 + 1 - 42 . 3 + 1 - 62 . 5 + ... + 1 - 202 . 19 = α - 220β thenan ordered pair α, β = ?

  • (11, 97)

  • (10, 103)

  • (11, 103)

  • (10, 97)


227.

Let  α and β be the roots of x2  3x + p = 0 and γ and δ be the roots of x2  6x + q = 0. If α, β, γ, δ  from a geometric progression. Then ratio (2q + p) : (2q  p) is

  • 3 : 1

  • 5 : 3

  • 9 : 7

  • 33 : 31


 Multiple Choice QuestionsShort Answer Type

228.

Let 2x2 + 3x + 410 = r = 020 arxr. Then a7a13 = ?


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 Multiple Choice QuestionsMultiple Choice Questions

229.

Let a1, a2, .... an be a given A.P. whose common difference is an integer and Sn= a1 + a2 + ... + an. If a1 = 1, a1 = 300 and 15  n  50, then the ordered pair (Sn  4, an  4) is equal to :

  • (2490, 248)

  • (2490, 249)

  • (2480, 249)

  • (2480, 248)


230.

The minimum value of 2sin(x)+ 2cos(x) is :

  • 2 - 1 + 12

  • 2 - 1 + 2

  • 21 - 2

  • 21 - 12


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