In a city of 55 students, the number of students studying different subjects are 23 in mathematics, 24 in physics, 19 in chemistry, 12 in mathematics and physics, 9 in mathematics and chemistry, 7 in physics and chemistry and 4 in all the three subjects. The number of students who have taken exactly one subject is:

A) 6

B) 9

C) 7

D) all of these

Correct Answer:
C) 7

Description for Correct answer:

Part of solved Set theory questions and answers : >> Elementary Mathematics >> Set theory


No comments available

Similar Questions
1). If \( \Large N_{a}=\{ an : n \epsilon N \} \), then \( \Large N_{3} \cap N_{4} \) is equal to:
A). \( \Large N_{7} \)
B). \( \Large N_{12} \)
C). \( \Large N_{3} \)
D). \( \Large N_{4} \)
-- View Answer
2). The relation "Congruence modulo m" is:
A). reflexive only
B). transitive only
C). symmetric only
D). an equivalence relation
-- View Answer
3). Set A has 3 elements and set B has 4 elements. The number of injections that can be defined from A to B is:
A). 144
B). 12
C). 24
D). 30
-- View Answer
4). Which of the four statements given below is different from the other?
A). \( \Large f:A \rightarrow B \)
B). \( \Large f:x \rightarrow f \left(x\right) \)
C). f is a mapping from A to B
D). f is a function from A to B
-- View Answer
5). Which of the following is correct?
A). \( \Large A \cap B \subset A \cup B \)
B). \( \Large A \cap B \subseteq A \cup B \)
C). \( \Large A \cup B \subset A \cap B \)
D). None of these
-- View Answer

6). Let \( \Large f:N \rightarrow R:f \left(x\right)=\frac{ \left(2x-1\right) }{2} \) and \( \Large g:Q \rightarrow R:g \left(x\right)=x+2 \) be two functions then \( \Large \left(gof\right) \left(\frac{3}{2}\right) \)
A). 3
B). 1
C). \( \Large \frac{7}{2} \)
D). None of these
-- View Answer
7). If N be the set of all natural numbers, consider \( \Large f:N \rightarrow N:f \left(x\right)=2x \forall x \epsilon N \), then f is:
A). one-one onto
B). one-one into
C). many-one
D). one of these
-- View Answer
8). N is the set of natural numbers. The relation R is defined on \( \Large N \times N \) as follows: \( \Large \left(a,\ b\right)R \left(c,\ d\right) \Leftrightarrow a+d=b+c \) is:
A). reflexive
B). symmetric
C). transitive
D). all of these
-- View Answer
9). Let \( \Large A = \{ 2,\ 3,\ 4,\ 5 \} \) and
\( \Large R = \{ \left(2,\ 2\right),\ \left(3,\ 3\right),\ \left(4,\ 4\right),\ \left(5,\ 5\right),\
\left(2,\ 3\right),\ \left(3,\ 2\right),\) \( \Large \ \left(3,\ 5\right),\ \left(5,\ 3\right) \} \) be a relation in A, Then R is:
A). reflexive and transitive
B). reflexive and symmetric
C). reflexive and anti-symmetric
D). none of the above
-- View Answer
10). For real numbers x and y, we write
\( \Large x R y \Leftrightarrow x^{2}-y^{2}+\sqrt{3} \)
is an irrational number. Then the relation R is:
A). reflexive
B). symmetric
C). transitive
D). none of these
-- View Answer