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Let $U$ be the universal set and $A \cup B \cup C = U$ . Then, ${\{(A - B) \cup (B - C) \cup (C - A)\}}^{'}$ is equal to

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Important Questions on Set Theory and Real Number System

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JEE Main/Advance

IMPORTANT

Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Exercises>Q 10

The shaded region in the given figure is

Question Image

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Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Exercises>Q 11

Which is the simplified representation of

(A^{'} \cap B^{'} \cap C) \cup (B \cap C) \cup (A \cap C)

, where

A, B & C

are subsets of set

X

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Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Exercises>Q 12

In statistical survey of

1003

families of Kolkata, it was found that

63

families have neither a radio nor a TV,

794

families have a radio and

187

has TV. The number of families in that group having both a radio and a TV is

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Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Exercises>Q 13

A survey shows that

63 %

of the people watch a news channel whereas,

76 %

watch an entertainment channel at a particular time. If

x %

of the people watch both types of channels, then :

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Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Exercises>Q 14

In a town of

10, 000

families it was found that

40 %

family buy newspaper

A, 20 %

buy newspaper

B

and

10 %

families buy newspaper

C, 5 %

families buy

A

and

B, 3 %

buy

B

and

C

and

4 %

buy

A

and

C .

2 %

families buy all the three newspapers, then number of families which buy

A

only is

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IMPORTANT

Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Exercises>Q 15

If normals are drawn from a point

P (h, k)

to the parabola

y^{2} = 4 a x,

then the sum of the intercepts which the normals cut off from the axis of the parabola is

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Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Exercises>Q 16

The number of integral values of

x

for which

5 x - 1 < {(x + 1)}^{2} < 7 x - 3

, is

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JEE Main/Advance

IMPORTANT

Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Exercises>Q 17

If set $A = \{x | \frac{x^{2} (5 - x) (1 - 2 x)}{(5 x + 1) (x + 2)} < 0\}$ and set $B = \{x | \frac{3 x + 1}{6 x^{3} + x^{2} - x} > 0\}$ , then $A \cap B$ does not contain

Let U be the universal set and A∪B∪C=U. Then, A-B∪B-C∪C-A' is equal to

Important Questions on Set Theory and Real Number System

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Let $U$ be the universal set and $A \cup B \cup C = U$ . Then, ${\{(A - B) \cup (B - C) \cup (C - A)\}}^{'}$ is equal to