# Math for Computer science Questions and Answers 1 to 10

## Math for Computer science

### Questions 1 to 10

 ¬[pv (¬ pvq)] is logically equalent to (a) pÙq                   (b) ¬ p Å ¬q            (c) ¬ p Ù¬q             (d) ¬ p Ù q              (e) p Ù ¬ q. 2. The member of the set {x / x is the square of an integer less than 100} (a) {1, 4, 9, 16, 25, 36, 49, 64}                 (b) {1, 4, 9, 16, 25, 36, 64, 81}                 (c) {1, 4, 9, 16, 36, 49, 64, 81}                 (d) {1, 4, 9, 16, 25, 36, 49, 64, 81}           (e) 3. A ÇÆ = Æ, is known as (a) Indentity law                                      (b) Domination laws (c) Idempotent laws (d) Absorption laws                                (e) Complement laws. 4. Let A = {0, 2, 4, 6, 8, 10}; B = {0, 1, 2, 3, 4, 5, 6} A È (B  A) is given by (a) {0, 2 4, 6, 8, 10}                                 (b) {0, 1, 2, 3, 4, 5, 6}                             (c) {0, 1, 2, 3, 4, 5, 6, 10}                        (d) {0,1, 2, 3, 4, 5, 6, 8}                           (e) {0, 1, 2, 3, 4, 5, 6, 8, 10. 5. Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} then bit string for the set A = {1, 5, 7, 8, 9} is (a) 0 1 0 0 0 0 0 1 1 1 0                           (b) 0 1 0 0 0 1 0 1 1 1 0                          (c) 0 1 0 0 0 1 1 0 1 1 0                           (d) 0 1 0 0 0 1 0 1 0 1 0 (e) 0 1 0 0 0 1 0 1 1 0 1. 6. Let U = {0, 1 2, 3, 4, 5, 6, , 8, 9, 10}. the set represented by the bit string 0 1 0 1 1 1 1 0 0 0 0 is (a) {0, 2,7 8, 9, 10}                                  (b) {1, 3, 4, 5, 6}       (c) {1, 3, 4, 6, 7} (d) {1, 3, 4, 5}                                         (e) {0, 1, 3, 4, 6}. 7. The set {x / x Î A and x Ï B} is defined by (a) A complement                                  (b) B  A                                               (c) A - B                              (d) (AÇB)                                               (e) B complement. 8. Let f is a function from A to B. for aÎ A such that f (a) = b then 'a' is called (a) image                                               (b) pre image           (c) range element     (d) codomain element                                                           (e) mapping. 9. Let f be a function from A to B. 'f' is said to be a surjective function if (a) for each aÎ A bÎ B ' f (a) = b             (b) for each b ÎA \$ aÎ B ' f (a) = b (c) for each aÎ B aÎ A ' f (a) = b              (d) for each bÎ Ba ÎA ' f (b) = a (e) for each a ÎB b ÎA ' f (b) = a. 10. Let 'n' be a positive integer. Then which of the following are true for a real number 'x'. (a) x + n = x + n                                                         (b) x + n = x + n (c) x + n = x + n (d) x + n = x + n                                                         (e) x + n = x + n