Match the following-7 x - x -frac n n -2- where - n - i - a - natural - number and - 1 - n - 6- c- -1-4-9-16-25-36-49-6481-l- 4 - - D - x - x- d- -G- E- I- M- N- O- R- T- e- - 1-3-5-7-9y 111lend array

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Match the fol...

Question

Match the following.

$\begin{matrix} C o l u m n A & C o l u m n B 1. A = {x : x i s a n o d d n a t u r a l n u m b e r} & a . {\frac{1}{2}, \frac{1}{3}, \frac{2}{3}, \frac{3}{4}, \frac{3}{5}, \frac{5}{7}} 2. B = {x : x = (n^{2})}, n \in N a n d x < 100 & b . {1, 4, 9, 16, 25, . . . . . . . .10000} 3. C = {x : x = \frac{n}{n + 2}, w h e r e n i s a n a t u r a l n u m b e r a n d 1 \leq n \leq 6} & c . {1, 4, 9, 16, 25, 36, 49, 64, 81} 4. D = {x : x i s a l e t t e r o f t h e w o r d T R I G O N O M E T R Y} & d . {G, E, I, M, N, O, R, T, Y} e . {1, 3, 5, 7, 9, . . . . . . . . . . . . . . .} \end{matrix}$

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Solution

A = Set of all odd natural numbers

= {1, 3, 5, 7, 9, .... } that is (e) in column B

B = Set of all squares of natural numbers such that squares are less than 100

= {1, 4, 9, 16, 25, 36, 49, 64, 81} that is (c) in column B

C = { $\frac{1}{3}$ , $\frac{2}{4}$ , $\frac{3}{5}$ , $\frac{4}{6}$ , $\frac{5}{7}$ , $\frac{6}{8}$ }

= { $\frac{1}{3}$ , $\frac{1}{2}$ , $\frac{3}{5}$ , $\frac{2}{3}$ , $\frac{5}{7}$ , $\frac{3}{4}$ }, that is (a) in column B

D = Set of letters of the word TRIGONOMETRY

= {G, E, I, M, N, O, R, T, Y} that is (d) in column B

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Table 1

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