Which one of the following is a null set?

Important Questions on Set Theory and Relations

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JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 26 - Set Theory and Relations>Level 1>Q 2

Which of the following set is not a null set?

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JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 26 - Set Theory and Relations>Level 1>Q 3

The set of all prime numbers is

MEDIUM

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 26 - Set Theory and Relations>Level 1>Q 4

In a group if $60\%$ of people drink tea and $70\%$ drink coffee, what is the maximum possible percentage of people drinking either tea or coffee but not both?

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JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 26 - Set Theory and Relations>Level 1>Q 5

If $A=\{x\mid x$ is a multiple of $2,$$x\in N\},$ $B=\{x\mid x$ is a multiple of $5,$ $x\in N\},$ $C=\{x\mid x$ is a multiple of $10,$ $x\in N\},$ then $(A\cap B)\cap C=$

MEDIUM

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 26 - Set Theory and Relations>Level 1>Q 6

Out of $800$ boys in a school, $224$ played cricket, $240$ played hockey and $336$ played basketball. Of the total, $64$ played both basketball and hockey; $80$ played cricket and basketball, $40$ played cricket and hockey and $24$ player all the three games. The number of boys who did not play any game is

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JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 26 - Set Theory and Relations>Level 1>Q 7

Let $\mathrm{U}$ be the universal set and $A\cup B\cup C=U,$ then ${\left\{\left(A-B\right)\cup \left(B-C\right)\cup \left(C-A\right)\right\}}^{\text{'}}$ is equal to

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JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 26 - Set Theory and Relations>Level 1>Q 8

There are $3$ electives offered to the students in class of $92$ (The students have a choice of not choosing any electives). $60$ students opted for marketing, $80$ for finance and $50$ for systems, $40$ students opted for both marketing and systems, $50$ for both marketing and finance and $45$ for both finance & systems. What is the maximum number of students who opted for all $3$ electives

EASY

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 26 - Set Theory and Relations>Level 1>Q 9

In a town of $10000$ families, it was found that $40\%$ families buy newspaper $A, 20\%$ families 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 $C\mathit{.}$ If $2\%$ families buy all the three newspapers, then the number of families which buy $A$ only