Practise Test 1 on Sets Answer Sheet

Answers for practice test on sets and subsets are given below to check the answers of the questions.

Answers:

1. C, D, E

2. (a) ⊄

(b) ⊂

(c) ⊄

(d) ⊂

(e) ⊂

(f) ⊂


3. (e)

4. (a) d, {3}

(b) d, {6}, {11}, {6, 11}

(c) d, {2}, {5}, {9}, {2, 5}, {2, 9}, {5, 9}, {2, 5, 9}

(d) d, {1}, {2}, {6}, {7}, {1, 2}, {1, 6}, {1, 7}, {2, 6}, {2, 7}, {6, 7}, {1, 2, 6}, {1, 2, 7}, {1, 6, 7}, {2, 6, 7}, {1, 2, 6, 7}

(e) {a}, {b}, {c}, {a, b}, {a, c}, {b, c}, {a, b, c}, d

(f) d

(g) d, {p}, {q}, {r}, {s}, {p, q}, {p, r}, {p, s}, {q, r}, {q, s}, {r, s}, {p, q, r } {p, q, s}, {p, r, s }, {q, r, s}, {p, q, r, s}


5. (a) d, {a}, {b}, {c}, {d}, {a, b}, {a, c}, {a, d}, {b, c}, {b, d}, {c, d}, {a, b, c}, {a, b, d}, {a, c, d}, {b, c, d}

(b) d, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}

(c) d {p}, {q}, {r}, {p, q}, {p, r}, {q, r}

(d) d, {5}, {10}

(e) d

(f) none

6. (a) 8

(b) 32

7. (a) 63
(b) 15


9. (a) {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

(b) {a, b, c, e, f, g}

(c) {2, 3, 4, 5, 6, 7, 8, 9, 10}


10. (a) {1, 3, 5, 7, 9, 10}

(b) {1, 2, 4, 6, 8, 9, 10}

(c) {2, 3, 4, 6, 10}


11. (a) True

(b) True

(c) False

(d) False

(e) True

(f) False

(g) False

(h) False


12. set of negative integers

13. (a) {0, 1, 2}

(b) {1, 2}

(c) {... -3, -2, -1, 0, 1, 2}


15. (a) Yes

(b) No

(c) No

(d) Yes

(e) No

(f) Yes

(g) Yes

(h) No