# Math for Computer science Questions and Answers 141 to 150

## Math for Computer science

### Questions  141 to 150

141.
All the members of a set A are indicated by dots on the number line as given below. A =

 (a) { x / x is an integer and –3 < x < 5 } (b) { x / x is an integer and –3 £ x £ 5 } (c) { x / x is an integer and –2 < x < 5 } (d) { x / x is an integer and –2 £ x < 6 } (e) { x / x is an integer and –2 £ x £ 6 }.
142.
The universal set is E and E = {Sun, Moon, Earth, Mars, Jupiter, Saturn, Neptune}.
A = {Moon, Mars, Jupiter} and
B = {Sun, Moon, Earth}
Then, A È Bc is:
 (a) {Moon, Mars, Jupiter, Neptune} (b) {Mars, Jupiter} (c) {Moon, Mars, Jupiter, Saturn} (d) {Moon, Mars, Jupiter, Saturn, Neptune} (e) {Sun, Moon, Earth, Mars, Jupiter, Saturn, Neptune}.
143.
{x / x ÎR and x2 + 9 = 6x} equals:
 (a) {3} (b) {3, –3} (c) {3, 2} (d) {3, 21} (e) {3, 15}.
144.
Which of the following sets is null (i.e. empty)?
 (a) {x / x  Z and x > 0} (b) {x / x  N and 15 < x < 16 } (c) {x / x  Z and  –16  x  –15 } (d) {x / x  Z and x < –3 } (e) {x / x  N and x is prime, x is even}.
145.
Let A = {a, b, c}, B = {1, 2} and the function f : A →B be defined as f(a) = 1, f(b) = 2,       f(c) = 2.
Which of the following statements is correct?
 (a) f is an onto function (b) f is a 1–1 function (c) f is not an onto function (d) f is not a function (e) f is a bijection.
146.
Consider the following venn diagram.
The shaded portion in the Venn diagram represents
 (a) (Ac ∩ Bc) ( Bc ∩ Cc) (Cc ∩ Ac) (b) Ac Bc Cc (c) Ac ∩ Bc ∩Cc (d) (A ∩ Bc ) (B ∩Cc) (C ∩Ac) (e) (Ac ∩ Cc) ( Bc ∩Cc).
147.
If A = {(x, y) / x, y ∈R and x2 + y2 = 17} and B = {(x, y) / x, y ∈R and x + y = 5}, then,           A ∩B equals to
 (a) {4} (b) {1, 4} (c) {(1, 4)} (d) {(4, 1)} (e) {(1, 4), (4, 1)}.
148.
Let  and  which of the following is correct?
 (a) (b) (c) (d) (e)
149.
Which of the following sets of ordered pairs is a function defined on a set A= {1,2,3,4}
 (a) 2), (3, 1), (4, (b) 3), (2, 1), (2, 4), (3, 2), (4, (c) 3), (2, 4), (3, 1), (3, 2), (4, (d) 1), (2, 4), (4, (e) 4), (2, 3), (3, 2), (4,
150.
Given f : Z à R, where f(x) = |x|, for x Î Z. Which of the following statement is true about the range of f.
 (a) Range of f = Z (b) Range of  f = N (c) Range of  f = N È {0} (d) Range of  f = Z \ N (e) Range of f  = Z \ {–1, –2, –3, …….}.

#### Answers

 141 Answer : (d) Reason  :       by the definition set builder notation 142 Answer : (d) Reason  :       by the definition set builder notation 143 Answer : (a) Reason  :       by the definition set builder notation 144 Answer : (b) Reason  :       by the definition of empty set 145 Answer : (a) Reason  :       by the definition of onto function 146 Answer : (c) Reason  :       by the definition of venn diagrams 147 Answer : (e) Reason  :       by the definition of set builder notation constructing the sets and simplification A ∩ B =  {(1, 4), (4, 1)} 148 Answer : (b) Reason  :       by the definition of composition of functions 149 Answer : (e) Reason  :       by the definition of function 150 Answer : (c) Reason  :       by the definition of function the Range of  f = N È {0}

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