Question
If the sum of the coefficients in the expansion of (a +
b)n is 16384, then the greatest coefficient in the expansion isSolution
Binomial expansion: (x + y)n = C0 xn + C1 xn-1 y + C2 xn-2y2 + ….+ Cnyn Putting x = y = 1, we get 2n = C0 + C1 + C2 + ….+ Cn = 16384 = 214 => n = 14 Since n is even here, so the coefficient of greatest term is n Cn/2 = 14C14/2 = 14C7 = 13 × 2 × 11 × 2 × 3 × 2 = 3432
Select the option that is related to the third number in the same way as the second number is related to the first number.
72 : 101 :: 98 : ?
Select the option that is related to third letter- cluster in the same way as the second – letter cluster is related to the first letter- cluster.
...14 : 75 : : ?
In the following question, four number pairs are given. In each pair the number on left side of (-) is related to the number of the right side of (-) wi...
In each of the following questions, choose that set numbers from the four alternative sets, that is similar to the given set.
Given set:Â [13...
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If SIT = 19920 and SITE = 199205, then SIGHT =
Select the option that is related to third letter- cluster in the same way as the second – letter cluster is related to the first letter- cluster.
E × I : 25 × 81 ∷ K × P : ?
PINE : 5945 :: HERO : 8585 :: JUMP : ?