1Write what set each of these collections forms: (a) Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday (b) 2, 3, 5, 7 (c) a, e, i, o, u
2Write the name of the set formed by a square, a circle, a triangle and a rectangle, and name its members.
3Write the name of the set formed by a set square, a compass, a ruler and the like, and name its members.
4Write the name of the set formed by a plate, a mug, a cup, a glass and a dish, and name its members.
5Write the name of the set formed by gloves, socks, a cap, a skirt, a kurta and trousers, and name its members.
6Cross out (×) the one that does not belong in each collection, then write what set is left: (a) compass, divider, set square, protractor, ruler, pencil, sharpener (b) scooter, bus, car, laptop (c) cauliflower, tomato, cabbage, peas, beans, orange (d) 2, 4, 6, 8, 1
7Write with reasons whether each of these collections is a set: (a) students of class 6 with good handwriting (b) students who sing songs well (c) the teachers who teach class 6 in your school (d) the textbooks taught in class 6 (e) the factors of 30
8Write each of these sets in the listing method: (a) the twelve Nepali month names (b) the colours used in the national flag of Nepal (c) the whole numbers less than 10 (d) the prime numbers less than 10
9Write each of these sets in the describing method: (a) A = { 2, 4, 6, 8, 9 } (b) B = { 1, 3, 5, 7, 9 } (c) C = { 3, 6, 9, 12, 15 } (d) D = { 1, 3, 9 }
10Write each of these sets in the set builder method: (a) A = { 2, 4, 6, 8, 10 } (b) B = { 1, 4, 9 } (c) C = the set of composite numbers up to 20 (d) T = {right angled triangle, acute angled triangle, obtuse angled triangle}
11Write each of these sets in the listing method and also write how many members it has: (a) A = {the set of prime factors of 15} (b) B = {x : x is a multiple of 4 up to 40} (c) C = {the set of counting numbers greater than 2 and less than 7} (d) D = {the set of factors of 20}
12Collect the things in your own classroom, form at least three sets from those that share a property, and write each of them in all three methods.
13Choose \( \in \) or \( \notin \) for each blank: (a) 1 ... {the set of factors of 6} (b) triangle ... {square, circle, triangle} (c) 9 ... {the set of multiples of 3} (d) 9 ... {the set of prime numbers less than 15}
14If S stands for the set of SAARC nations, write true (T) or false (F): (a) Nepal \( \in S \) (b) Thailand \( \notin S \) (c) India \( \in S \) (d) Bangladesh \( \notin S \)
15Write these sets in set notation using the listing method: (a) the set of letters in the word 'kathmandu' (b) the set of letters in the word 'mathematics' (c) the set of members that belong to both (a) and (b)
16If A = {the set of factors of 6} and B = {the set of prime numbers less than 10}, write A and B in the listing method and in the set builder method.
17Write the set of composite numbers less than 10 in the describing method.
18If A = {the set of even numbers less than 10} and B = {the set of odd numbers less than 10}, write A and B in the listing method and in the set builder method.
19'The students of your school with a sweet voice' is not a set, but 'the students of your class' is a set. Why? Give a short reason.
20Write the set \( \{5, 10, 15, 20\} \) in all three methods.
21If A = {the set of factors of 12}, put \( \in \) or \( \notin \) in the blanks for 8 and for 12.