# Intersection of Sets

## Trending Questions

**Q.**

Question 4 (d)

Find

d) 75% of 1 kg

**Q.**

If A={x:x is a prime number} and

B={x:x≤10, x∈N}, then A∩B is ________ .

- {1, 3, 5, 7}
- {3, 5, 7}
- {2, 3, 5, 7}
- {1, 2, 3, 5, 7}

**Q.**Let A = {x : x is a natural number and a factor of 18}

B = {x : x is a natural number and less than 6}

Find A ∪ B and A ∩ B.

- A ∩ B = {1, 2, 3}
- A ∪ B = {1, 2, 3, 4, 5, 6, 9, 18}
- A ∩ B = {1, 2, 4}
- A ∪ B = {1, 1, 2, 2, 3, 3, 4, 5, 6, 9, 18}

**Q.**

If $P\left(A\right)=0.25,P\left(B\right)=0.50$, and $P(A\cap B)=0.14$, then$P(A\cap B)$ is equal to

$0.61$

$0.39$

$0.48$

None of these

**Q.**Two coins are tossed once. Find the probability of getting:

i) 2 heads

ii) at least 1 tail

[3 MARKS]

**Q.**

Given U is the set of natural numbers between 11 and 19.

A={x:x is divisible by 3}

B={12, 14, 15, 16}

Find A∩B.

{14, 16}

{2, 14}

{12, 15}

{15}

**Q.**

**Question 37(ii)**

A child's game has 8 triangles of which 3 are blue and rest are red, and 10 squares of which 6 are blue and rest are red. One piece is lost at random. Find the probability that it is a square?

**Q.**The probability of a man hitting the target is 14. The number of times atleast must he fire so that the probability of his hitting the target atleast once is greater than 23 is

- 6
- 5
- 4
- 3

**Q.**how to solve probability related to weeks and days

**Q.**A coin is tossed 5 times. The probability of 2 heads and 3 tails is:

- 1116
- 532
- 516
- 1132

**Q.**

Represent the given set in Roster form.

A = {x: x is a prime number, 52 < x < 112}

{-3, -2, -1, 0, 1, 2, 3, 4, 5}

{-1, 0, 1, 2, 3, 4, 5, 6}

{-1, 0, 1, 2, 3, 4, 5}

{-2, -1, 0, 1, 2, 3, 4, 5}

**Q.**Let A = {x : x is a natural number and a factor of 15}

B = {x : x is a natural number and less than 5}

Find A ∪ B and A ∩ B.

- A ∩ B = {1, 3}
- A ∪ B = {1, 2, 3, 4, 5, 15}
- A ∩ B = {1, 2, 4}
- A ∪ B = {1, 1, 2, 2, 3, 3, 4, 5, 6, 9, 18}

**Q.**

Question 164(ii)

If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use

(× 1) machines.

**Q.**

If A = {1, 4, 9}, B = {1, 2, 3} and C = {1, 3, 5}, find A ∩ (B ∩ C).

**Q.**A king, queen and jack of spades are removed from a deck of 52 playing cards and then well shuffled one card is selected from the remaining cards find the probability to getting (1) a spade (2) a king

**Q.**If set A = {4, 8, 12, 16} and set B = {8, 16, 24, 32}, then the cardinality of the set A∩B is ______.

- 4
- 6
- 8
- 2

**Q.**

Question 164(iii)

If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use

(× 1) machines.

**Q.**Using the given Venn diagram, find A∩B. [ 2 marks ]

**Q.**

Find the probability that in a random arrangement of the letters of the word UNIVERSITY the two Is do not come together ?

**Q.**Given P={x:n∈N, x=2n}

Q={x:n∈N, x=4n} where N is a set of natural numbers.

Then, (P−Q)∩(Q−P) is:

- P
- Q
- P∩Q
- {}

**Q.**Using the Venn diagram, find A∩B.

- {5}
- {2, 4, 5, 6}
- {1, 2, 3, 4, 5, 6, 7, 8}
- {1, 3, 5, 7, 8}

**Q.**A coin is tossed three tiimes. Find the probability of getting exactly two heads.

- 58
- 28
- 12
- 38

**Q.**

If A = {1, 2, 3, 4, 5},

B= {4, 5, 6, 7, 8} and C= {7, 8, 9, 10, 11}

Find :

(i) A∪B (ii) A∪C

(iii) B∪C

**Q.**

If A={x:x=n, n ϵ N, 5≤n<10} and B={3, 4, 5, 6}, then A∪B is ______.

- {3, 4, 5, 6}
- {5, 6, 7, 8}
- {5, 6}
- {3, 4, 5, 6, 7, 8, 9}

**Q.**If A = {0}, then A∩A is:

- 0
- { }
- A
- None of the above

**Q.**Box A contains 3 red and 2 blue marbles while box B contains 2 red and 8 blue marbles. A fair coin is tossed. If the coin turns up heads, a marbles is drawn from A, if it turns up tails, a marble is drawn from bag B. the probability that a red marble is chosen, is

- 15
- 25
- 35
- 12

**Q.**

A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears (i) a two digit number (ii) a perfect square number (iii) a number divisible by 5.

**Q.**The probability of getting an ace from a well-shuffled deck of 52 cards is ____.

1/13

1/52

4/13

1/4

**Q.**Stephany is trying to solve a puzzle but in unable to find the missing block.

Pick out the correct block from the given options.

**Q.**If →a=2ˆi−ˆj−2ˆk and →b=7ˆi+2ˆj−3ˆk, then express →b in the form of →b=→b1+→b2, where →b1 is parallel to →a and →b2 is perpendicular to →a.