Question

Match the following:

$$\begin{array}{cc}\text{Column A}& \text{Column B}\\ 1.A=\{x:xisanoddnaturalnumber\}& a.\{\frac{1}{2},\frac{1}{3},\frac{2}{3},\frac{3}{4},\frac{3}{5},\frac{5}{7}\}\\ 2.B=\{x:x=(n^2),n\in Nandx<100\}& b.\{1,4,9,16,25,........10000\}\\ 3.C=\{x:x=\frac{n}{n+2},n\in Nand1\le n\le 6\}& c.\{1,4,9,16,25,36,49,64,81\}\\ 4.D=\{x:xisaletterofthewordTRIGONOMETRY\}& d.\{G,E,I,M,N,O,R,T,Y\}\\ & e.\{1,3,5,7,9,...............\}\end{array}$$
[2 Marks]

Answer 1

1) A = {$x:x$ is an odd natural number}

= {1, 3, 5, 7, 9,...........}, which is (e) in column B
[0.5 Marks]

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

= {1, 4, 9, 16, 25, 36, 49, 64, 81}, which is (c) in column B
[0.5 Marks]

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

= { $\frac{1}{3}$, $\frac{1}{2}$, $\frac{3}{5}$, $\frac{2}{3}$, $\frac{5}{7}$, $\frac{3}{4}$}, which is (a) in column B
​​​​​​​[0.5 Marks]

4) D = Set of letters of the word TRIGONOMETRY

= {G, E, I, M, N, O, R, T, Y}, which is (d) in column B
​​​​​​​​​​​​​​[0.5 Marks]