Page 1 :
simon Gdampuywb, smisszenpyd gap aiLs (pup + aye Lup = Coup, , , , , , , , , , , , , , , , , , , , , , , , , , , , Reg.No.:[ |, Exam Time : 01:22:00 Hrs Total Marks : 82, Part A 82x 1 = 82, , Answer all the Questions., 1) If n(A x B) =6 and A={1,3} then n(B) is, , (a) 1 (b) 2 (3 (d) 6, 2) A={a,b,p}, B={2,3}, C={p,a,r5} then n[(A U C) x B] is, , (a) 8 (b) 20 () 12 (d) 16, , 3) If A={1,2}, B={1,2,3,4}, C={5,6} and D={5,6,7,8} then state which of the following, statement is true.., (a) (Ax C)c(BxD) (b) (Bx D)C(AxC) () (AxB)C(AxD) (d) (Ox A) c(Bx A), 4) If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of, elements in B is, (a) 3 (b) 2 o4 (a) 8, 5) The range of the relation R ={(x,x2) [x is a prime number less than 13} is, (4) {2,3,5,7} (b) {2,3,5,7,11} (©) {4,9,25,49,121}—()_{1,4,9,25,49,121), 6) If the ordered pairs (a+2,4) and (5,2a+b) are equal then (a,b) is, (a) (2,2) (b) (5,1) (©) (2) (d) (3,-2), 7) Let n(A)= m and n(B) = n then the total number of non-empty relations that can be defined, from Ato Bis, (a) m* (b) A (o) 21 (a) 20", , 8) Euclid’s division lemma states that for positive integers a and b, there exist ul, , , , jue integers q, andr such that a = bq +r, where r must satisfy, (a) i<r<b (bt) O<r<b () O<r<b (@) O<r<b, , 9) Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the, , possible remainders are, , (a) 01,8 (b) 1, 4,8 (©) 01,3 (a) 0, 1,3, , 10) If the HCF of 65 and 117 is expressible in the form of 65m - 117, then the value of m is, (a) 4 (b) 2 (i (a) 3, , 11) The sum of the exponents of the prime factors in the prime factorization of 1729 is, (a) 1 (b) 2 () 3 (a) 4, , 12) The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is, (a) 2025 (b) 5220 (©) 5025 (a) 2520, , 13) Given Fy = 1, Fp = 3 and Fy = FyitFr.2 then FS is, (a) 3 (b) 5 (.) 8 (d) 11