CBSE Questions for Class 11 Engineering Maths Sets Quiz 4 - MCQExams.com

Examine whether the following statements are true or false:
$$(1,2,3)\subset (1,3,5)$$
  • True
  • False
Examine whether the following statements are true or false:
$$(a)\epsilon (a,b,c)$$
  • True
  • False
Examine whether the following statements are true or false:$$\left\{a \right\}  \subset \left\{a,b,c \right\}$$
  • True
  • False
State true or false for each of the following. Correct the wrong statement.
If T = {a, l, a, h, b, d, h}, then $$n (T) = 5$$
  • True
  • False
For sets $$\phi  , A = \left \{ 1,3 \right \} = B = \left \{ 1, 5, 9 \right \} , C = \left \{ 1, 5, 7, 9 \right \}$$ True option is 
  • $$ A \subset B $$
  • $$ B \subset C $$
  • $$ C \subset B $$
  • $$ A \subset C $$
Examine the following statements: 
$$\left \{    a, b  \right \} \subset $$ { b, a,  c]
  • True
  • False
If  $$ A = \left \{ 2 , 4, 6, 8 \right \} $$ and $$ B = \left \{ 1, 4, 7, 8 \right \}$$ then A - B and B - A will be respectively:
  • $$\left \{ 2 ,6 \right \} ; \left \{ 1, 7 \right \}$$
  • $$\left \{ 1, 7 \right \} ; \left \{ 4 , 8 \right \}$$
  • $$\left \{ 1, 7 \right \} ; \left \{ 2, 6 \right \}$$
  • $$\left \{ 4, 8 \right \} ; \left \{ 1, 7 \right \}$$
If  $$ A = \left \{ 1, 2, 3, 4, 5, 6 \right \} , B = \left \{ 2, 4, 6, 8 \right \}$$, then A - B will be : 
  • $$\left \{1, 3, 5, 8 \right \}$$
  • $$\left \{ 1, 3, 5 \right \}$$
  • $$\left \{1, 2, 3, 4, 5, 6, 8 \right \}$$
  • = { }
Find the equivalent set for $$A - B $$.
  • $$A \cup (A \cap B)$$
  • B - A
  • $$A - (A \cap B)$$
  • $$A \cap B$$
The equation x + cosx $$=$$ a has exactly one positive root. Complete set of values of 'a' is

  • (0, 1)
  • $$(-\infty, 1)$$
  • (-1,1)
  • $$(1,\infty)$$
  • $$(0,\infty)$$
Let $$S$$ be a non-empty subset of $$R$$. Consider the following statement:
$$p$$ : There is a rational number $$x$$  such that $$x > 0$$.
which of the following statements is the negation of the statement P ? 
  • There is no rational number $$\mathrm{x}\in \mathrm{S}$$ such that $$\mathrm{x}\leq 0$$
  • Every rational number $$\mathrm{x}\in \mathrm{S}$$ satisfies $$\mathrm{x}\leq 0$$
  • $$\mathrm{x}\in \mathrm{S}$$ and $$\mathrm{x}\leq 0= \mathrm{x}$$ is not rational
  • There is a rational number $$\mathrm{x}\in \mathrm{S}$$ such that $$\mathrm{x}\leq 0$$
If $$A= $${1,2,3};$$ B=$${4,5}. then $$A-B=$${1,2,3}  number cancellation of numbers in A and B
  • {4,5}
  • {1,2,3,4,5}
  • $$\phi $$
  • {1,2,3}
The smallest set $$A$$ such that $$A\cup \left\{ 1,2 \right\} =\left\{ 1,2,3,5,9 \right\} $$ is 
  • $$\left\{ 2,3,5 \right\} $$
  • $$\left\{ 3,5,9 \right\} $$
  • $$\left\{ 1,2,5,9 \right\} $$
  • $$\left\{ 1,2 \right\} $$
If A = {1, 2, 3} B = {4, 5}, then find A - B.
  • {1, 4, 5}
  • {1, 4, 3}
  • {1, 2, 3}
  • {4, 5}
In an examination $$80\%$$  passed in English, $$85\%$$ in Maths, $$75\%$$ in both and $$40$$ students failed in both subjects. Then the number of  students appeared are
  • $$300$$
  • $$400$$
  • $$500$$
  • $$600$$
$$p\cap (q\cup r)=?$$
  • $$p\cup (q\cap r)$$
  • $$(p\cap q)\cap (q\cap p)$$
  • $$(p\cap q)\cup r$$
  • $$(p\cap q)\cup (p\cap r)$$
In an examination, $$34\%$$ of  the candidates fail in Arithmetic and $$42\%$$ in  English. If $$20\%$$ fail in Arithmetic and English, the  percentage of those passing in both subjects is :
  • $$44$$
  • $$45$$
  • $$46$$
  • $$47$$
In a science talent examination, 50% of the candidates fail in Mathematics and 50% fail in Physics. If 20% fail in both these subjects, then the  percentage who pass in both Mathematics and Physics is:
  • 0%
  • 20%
  • 25%
  • 50%
If $$A - B = \phi$$ and $$B - A = \phi$$ then A and B are

  • Overlapping
  • Equivalent
  • Disjoint
  • Equal
All the students of a batch opted Psychology, Business, or both. 73% of the students opted Psychology and 62% opted Business. If there are  220 students, how many of them opted for both Psychology and business?
  • $$60$$
  • $$100$$
  • $$77$$
  • $$35$$
If $$A$$ and $$B$$ have some elements in common, then $$n(A \cup B)$$ is:
  • $$= n(A) + n (B)$$
  • $$ > n (A) + n(B)$$
  • $$< n(A) + n(B)$$
  • $$\geq n (A)+ n (B)$$
If $$A - B = \emptyset $$, then relation between A and B is :
  • $$A \neq B$$
  • $$B \subset A$$
  • $$A \subset B$$
  • $$A = B$$
If $$A \cap B = \phi$$, then $$A \Delta B$$ =
  • $$A \cap B$$
  • $$A \cup B$$
  • $$A - B$$
  • $$B - A$$
In a group of 15 women, 7 have nose studs, 8 have ear rings and 3 have neither. How many of these have both nose studs and ear rings?
  • $$0$$
  • $$2$$
  • $$3$$
  • $$7$$
There are 19 hockey players in a club. On a  particular day 14 were wearing the prescribed hockey shirts, while 11 were wearing the  prescribed hockey pants. None of then was without hockey pant  or hockey shirt. How many of  them were in complete  hockey uniform?
  • 8
  • 6
  • 9
  • 7
In a class, 20 opted for Physics, 17 for Maths, 5 for both and 10 for other subjects. The class contains how many students?
  • $$35$$
  • $$42$$
  • $$52$$
  • $$60$$
In a community of 175 persons, 40 read the Times, 50 read the Samachar and 100 do not read any. How many persons read both the papers?
  • 10
  • 15
  • 20
  • 25
In a party, 70 guests were to be served tea or coffee after dinner. There were 52 guests who preferred tea while 37 preferred coffee. Each of  the guests liked one or the other beverage. How many guests liked both tea and coffee?
  • 15
  • 18
  • 19
  • 33
In a group of $$15, 7$$ have studied German, $$8$$ have studied French, and $$3$$ have not studied either. How many of these have studied both German and  French?
  • $$0$$
  • $$3$$
  • $$4$$
  • $$5$$
In a certain group of 75 students, 16  students are taking physics, geography  and English; 24 students are taking  physics and geography, 30 students are  taking physics and English; and 22 students are taking geography and  English. However, 7 students are taking only physics, 10 students are taking only geography and 5 students are taking only English. How many of these students are taking physics?
  • n(P) = 45
  • n(P) = 35
  • n(P) = 65
  • n(P) = 55
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