Math for Computer science Questions and Answers 111 to 120

Math for Computer science

Questions  111 to 120

111.	Let A = {0, 2, 4, 6, 8, 10};  B = {0, 1, 2, 3, 4, 5, 6} B 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}.
112.	is known as (a) Indentity law (b) Domination laws (c) Idempotent laws (d) Absorption laws (e) Complement laws.
113.	Which of the following is the encrypt of the menage "THE BEST ZOO" by translating the letters into numbers applying the caesar cipher f(p) = (p + 3) mod 26? (a) WHK EVHW CRR (b) WKH EHVW CRR  (c) WKH EVHW CRR (d) WKH EHWV CRR (e) WKH EAVW RCR.
114.	Let n be a positive integer.  The expansion of (x + y)5 is (a) x5 + 5x4y +  10x3 y2 + 10x2 y3 + 5xy4     + y5 (b) x5 + 5xy4 +  10x2 y3 + 10x3 y2 + 5x4y + y5 (c) x5 + 5x3 y2 +  10x4 y + 10x2 y3 + 5xy4+ y5 (d) x5 + 5y5 +  10x3 y2 + 10y2 x3 + y5+ 5x4y (e) x5 + 5x2 y2 +  10x3 y3 + 10xy + 5x4y4     + y5.
115.	Let f be a function from A to B. 'f' is said to be a onto 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 B  a ÎA ' f (b) = a (e) for each a ÎB  b ÎA ' f (b) = a.
116.	is logically equalent to (a) pÙq (b) ¬ p Å ¬q (c) ¬ p Ù¬q (d) ¬ p Ù q   (e) p Ù ¬ q.
117.	Let f is a function from A to B. for  aÎ A such that f (a) = b then 'b' is called (a) Image     (b) Pre image (c) Range element (d) Codomain element (e) Mapping.
118.	Let S = {0, 1, 2, 3, 5, 6, 7} Let f be a function defined on S such that f(x) =  then the range of f in given by (a) {1, 0, 4, 4, 7} (b) {0, 2} (c) {1, 2} (d) {0, 1} (e) {0, 1, 2}.
119.	The set {x / x Î A and x Ï B} is defined by (a) A complement (b) B – A (c) A – B (d) B complement (e) (AÈB) complement.
120.	Let  U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}  then bit string for the set A = {2, 4, 6, 8, 10} is (a) 0 1 1 0 0 1 1 0 0 1 1 (b) 0 1 1 0 1 1 0 1 1 1 0 (c) 0 0 1 0 1 0 1 0 1 0 1 (d) 0 1 0 1 0 1 0 1 0 1 0 (e) 0 0 1 0 0 1 0 1 1 0 1.

Answers

111.	Answer : (b) Reason : B – A = {1, 3, 5}
112.	Answer : (d) Reason : Absorption Law definition.
113.	Answer : (b) Reason :                      T H E B E S T Z O O 19 7 4 1 4 18 19 25 14 14 22 10 7 4 7 21 22 28 17 17 W K H E H V W C R R
114.	Answer : (a) Reason : By definition of Binomial Expansion.
115.	Answer : (a) Reason : By definition of ONTO function.
116.	Answer : (a) Reason : .
117.	Answer : (a) Reason : By definition of image.
118.	Answer : (c) Reason : f(0) = ëû  = ë0û  = 0                         f (1) = ëû  = ë0.2û  = 0               f (2) = ëû  = ë0.4û  = 0               f (3) = ëû  = ë0.6û  = 0               f (5) = ëû  = ë1û  = 1               f (6) = ëû  = ë1.2û  = 1               f (7) = ëû  = ë1.4û  = 1               f (12) = ëû  = ë2.4û = 2 f(s) = {0, 1, 2}
119.	Answer : (c) Reason :
120.	Answer : (c) Reason : 0 0 1 0 1 0 1 0 1 0 1