Related InterviewSolutions

• Let A and B two sets containing four and two elements respectively, The number of subsets of the set A × B, each having at least three elements is:1. 2702. 2393. 2194. 256
• Let the universal set U = {x : x is the natural number less than 20}. If A = {0, 2, 7, 15, 19, 20} and B = {5, 7, 9, 11, 13, 17, 20}, then (A - B) ∩ U is?1. Subset of U, A, but not of B2. Subset of U but not of A or B3. Subset of U, A and B4. Subset of U, B, but not of A
• Find the intersection of following sets: A = {x: x is a natural number and 1 < x ≤ 4}, B = {x: x is a natural number and 4 < x ≤ 7}1. {4}2. {4, 6, 7}3. {1, 2, 3, 4}4. ϕ
• Taking the set of natural numbers as the universal set, write down the complements of the following sets: (i) {x: x is an even natural number} (ii) {x: x is an odd natural number} (iii) {x: x is a positive multiple of 3} (iv) {x: x is a prime number} (v) {x: x is a natural number divisible by 3 and 5} (vi) {x: x is a perfect square} (vii) {x: x is perfect cube} (viii) {x: x + 5 = 8} (ix) {x: 2x + 5 = 9} (x) {x: x ≥ 7} (xi) {x: x N and 2x + 1 &gt; 10} 
• 24 people likes apple, 18 people likes orange, 5 likes both apple and orange, and rest of the people likes only grapes. If total 50 people are present how many how many like only grapes?1. 152. 113. 174. 13
• Write the following sets in roster form: (i) A = {x: x is an integer and –3 &lt; x &lt; 7}. (ii) B = {x: x is a natural number less than 6}. (iii) C = {x: x is a two-digit natural number such that the sum of its digits is 8}(iv) D = {x: x is a prime number which is divisor of 60}. (v) E = The set of all letters in the word TRIGONOMETRY.(vi) F = The set of all letters in the word BETTER. 
• Write the following sets in the set-builder form: (i) (3, 6, 9, 12) (ii) {2, 4, 8, 16, 32}(iii) {5, 25, 125, 625} (iv) {2, 4, 6 …} (v) {1, 4, 9 … 100} 
• List all the elements of the following sets: (i) A = {x: x is an odd natural number} (ii) B = {x: x is an -1/2&lt;x&lt;9/2 integer,} (iii) C = {x: x is an  x2 &lt;= 4 integer, }(iv) D = {x: x is a letter in the word “LOYAL”} (v) E = {x: x is a month of a year not having 31 days} (vi) F = {x: x is a consonant in the English alphabet which proceeds k}.            ={b,c,d,f.g.h.j}
• Match each of the set on the left in the roster form with the same set on the right described in set-builder form: (I) {1, 2, 3, 6}                                             (A) {X: X IS A PRIME NUMBER AND A DIVISOR OF 6} (II) {2, 3}                                                    (B) {X: X IS AN ODD NATURAL NUMBER LESS THAN 10} (III) {M, A,T, H, E, I,C, S}                           (C) {X: X IS NATURAL NUMBER AND DIVISOR OF 6} (IV) {1, 3, 5, 7, 9}                                       (D) {X: X IS A LETTER OF THE WORD MATHEMATICS}
• Which of the following are examples of the null set (i) Set of odd natural numbers divisible by 2 (ii) Set of even prime numbers (iii) {x:x is a natural numbers, x &lt; 5 and x &gt; 7 } (iv) {y:y is a point common to any two parallel lines}