| 1. |
Let A={a, b, {c, d}, e}. How many elements does A contain? |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» D. 4 | |
| 2. |
Let A={2,{4,5},4} Which statement is correct? |
| A. | 5 is an element of A. |
| B. | {5} is an element of A. |
| C. | {4, 5} is an element of A. |
| D. | {5} is a subset of A. |
| Answer» C. {4, 5} is an element of A. | |
| 3. |
Which of these sets is finite? |
| A. | {x | x is even} |
| B. | ) {1, 2, 3,...} |
| C. | {1, 2, 3,...,999,1000} |
| D. | none |
| Answer» C. {1, 2, 3,...,999,1000} | |
| 4. |
Which of these sets is not a null set? |
| A. | A = {x | 6x = 24 and 3x = 1} |
| B. | B = {x | x + 10 = 10} |
| C. | C = {x | x is a man older than 200 years} |
| D. | D = {x | x < x} |
| Answer» B. B = {x | x + 10 = 10} | |
| 5. |
. Let S={1, 2, 3}. How many subsets does S contain? |
| A. | 3 |
| B. | 6 |
| C. | 8 |
| D. | 4 |
| Answer» C. 8 | |
| 6. |
. Which set S does the power set 2S = {Ф,{1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}} come from? |
| A. | {{1},{2},{3}} |
| B. | {1, 2, 3} |
| C. | {{1, 2}, {2, 3}, {1, 3}} |
| D. | {{1, 2, 3}} |
| Answer» B. {1, 2, 3} | |
| 7. |
Let A = {x, y, z}, B = {v, w, x}. Which of the following statements is correct? |
| A. | A U B ={v, w, x, y, z} |
| B. | A U B = {v, w, y, z} |
| C. | A U B = {v, w, x, y} |
| D. | A U B ={x, w, x, y, z} |
| Answer» A. A U B ={v, w, x, y, z} | |
| 8. |
which sets are equal ? 1.{r,s,t} 2.{s,s,t,r} 3.{t,r,t,s} |
| A. | 1 and 2 |
| B. | 2 and 3 |
| C. | 1 and 3 |
| D. | all are equal |
| Answer» D. all are equal | |
| 9. |
A U A=A according to …….law |
| A. | Associative law |
| B. | commutative law |
| C. | Indempotent law |
| D. | distributive law |
| Answer» C. Indempotent law | |
| 10. |
In any application of the theory of sets, the members of all the sets belongs to …… set |
| A. | union |
| B. | intersection |
| C. | universal |
| D. | cardinal |
| Answer» C. universal | |
| 11. |
let A={{a,b}} then aЄ A |
| A. | TRUE |
| B. | FALSE |
| C. | Both |
| D. | None |
| Answer» B. FALSE | |
| 12. |
ФЄФ |
| A. | TRUE |
| B. | FALSE |
| C. | Both |
| D. | None |
| Answer» B. FALSE | |
| 13. |
The sets {a,b,c} and {b,c,a} represnet the same sets. |
| A. | TRUE |
| B. | FALSE |
| C. | Both |
| D. | None |
| Answer» A. TRUE | |
| 14. |
Cardinality of a set is number of element of the set. |
| A. | TRUE |
| B. | FALSE |
| C. | Both |
| D. | None |
| Answer» A. TRUE | |
| 15. |
Multiset is an unordered collection of elemnts where an element can occur a a member more than once |
| A. | TRUE |
| B. | FALSE |
| C. | Both |
| D. | None |
| Answer» A. TRUE | |
| 16. |
one of the A or B is uncountably infinite and one is countably infinite then | AUB| will be |
| A. | countably infinite |
| B. | uncountably finite |
| C. | countably finite |
| D. | uncountably infinite |
| Answer» D. uncountably infinite | |
| 17. |
Sum of first n positive integers is |
| A. | n(n+1) |
| B. | n |
| C. | n(n+1)0.5 |
| D. | n(n+2) |
| Answer» C. n(n+1)0.5 | |
| 18. |
Let P(S) denote the power set of set S. which of the is always true |
| A. | P(P(s))=p(s) |
| B. | P(S)∩ S= P(S) |
| C. | P(S)∩P(P(S)) ={Ф} |
| D. | None |
| Answer» C. P(S)∩P(P(S)) ={Ф} | |
| 19. |
{3}Є{1,3,5} |
| A. | TRUE |
| B. | FALSE |
| C. | Both |
| D. | None |
| Answer» B. FALSE | |
| 20. |
consider the following data for 120 mathematics students at a college concerning the languages French,Gernan, and russian: 65 study frensh, 45 study german 42 study russian , 20 study french and german, 25 study french and russian, 15 study german and russian. 8 study all three languages. Determine how many students study exactly 1 subject? |
| A. | 100 |
| B. | 25 |
| C. | 56 |
| D. | 20 |
| Answer» C. 56 | |
| 21. |
……… is an unordered collection of elements where an element can occur as a member more than once |
| A. | Multiset |
| B. | ordered set |
| C. | set |
| D. | None |
| Answer» A. Multiset | |
| 22. |
In a room containing 28 females, there are 18 females who speak English, 15 females speak french and 22 speak german. 9 females speak both english and french, 11 females speak both french and german where as 13 speak both german and english. How many females speak all 3 languages? |
| A. | 9 |
| B. | 8 |
| C. | 7 |
| D. | 6 |
| Answer» D. 6 | |
| 23. |
If U = {1, 2, 3, . . . 10 } and S = { 4, 5, 6, 7, 8 }, then S ' = |
| A. | { 9, 10 } |
| B. | {1, 2, 3 } |
| C. | {1, 2, 3 9 } |
| D. | {1, 2, 3 9 10 } |
| Answer» D. {1, 2, 3 9 10 } | |
| 24. |
If U = {1, 2, 3, . . . 20 } and S = set of prime numbers , then S = |
| A. | { 3, 5, 7, 11, 13, 17 } |
| B. | { 2, 3, 5, 7, 11, 13, 17, 19 } |
| C. | {1, 3, 5, 7, 9, 11, 13, 15, 17, 19 } |
| D. | {1, 2, 3, 5, 7, 11, 13, 17 } |
| Answer» B. { 2, 3, 5, 7, 11, 13, 17, 19 } | |
| 25. |
Consider the statement,“If n is divisible by 30 then n is divisible by 2 and by 3 and by 5.”Which of the following statements is equivalent to this statement? |
| A. | If n is not divisible by 30 then n is divisible by 2 or divisible by 3 or divisible by 5 |
| B. | If n is not divisible by 30 then n is not divisible by 2 or not divisible by 3 or not divisible by 5 |
| C. | If n is divisible by 2 and divisible by 3 and divisible by 5 then n is divisible by 30. |
| D. | If n is not divisible by 2 or not divisible by 3 or not divisible by 5 then n is not divisible by 30 |
| Answer» D. If n is not divisible by 2 or not divisible by 3 or not divisible by 5 then n is not divisible by 30 | |