Equivalent Sets

Q.

The plural form of datum is :

1. datum

2. datums

3. data

4. datas

Q.

Form the plural form of the noun deer.

a. deer

b. deeres

c. dear

d. deers

Q.

What are prime numbers? Find the prime factorization of 2048. [3 MARKS]

Q.

If A = {Days of the week starting with a letter S} and B = {Days of the week starting with a letter T} then set A and set B are

1. equivalent sets

2. equal sets

3. overlapping sets

4. infinite sets

Q. {x : x is a composite number less than 10} and {x : x is a letter of the word JULY} are sets.

1. equal
2. equivalent
3. overlapping

Q.

If two given sets have the same cardinal number, they are called ____ sets.

Q.

State whether the following statement is true or false. $\{X,Y,Z\}$ and $\{1,2,3\}${1, 2, 3} are equivalent sets.

1. True
2. False

Q.

If A = {set of th first four natural numbers} and B = {set of the first four whole numbers}, then sets A and B are _______.

1. Equal sets.

2. Infinite sets.

3. Null sets.

4. Equivalents sets.

Q.

$A=\{x:x\in N,x\le 5\}$ and $B=\{y:y\in Zand-30\le y<-25\},$ then A and B are ________.

1. The vowels in the English alphabet

2. All natural numbers which divide 42

3. Names of 10 most renowned actors

4. Names of rivers in India

Q. Which of the following are not prime factors of $63$?

1. $3\times 3\times 7$
2. $7\times 9$
3. $3\times 21$
4. $1\times 63$
5. $7\times 21$
6. $9\times 21$
7. $3\times 7\times 3$
8. $7\times 3\times 3$

Q.

Sets having the same cardinal number and same elements are called _________ sets.

1. equal

2. null

3. disjoint

4. universal

Q. State, if the given pairs of sets are equal sets or equivalent sets:
$\{1,3,5,7,\dots ..\}$ and set of odd natural numbers

Q. Difference between Equivalent sets and Equal sets.

Q.

If $A=\{2,4,8,10\}$ and $B=\{a,b,d,e,m\}$ then sets A and B are

1. Equal sets.

2. Infinite sets.

3. Null sets.

4. Equivalents sets.

Q.

If Q = {2, 3, 4}, R = {4, 5, 8} then which of the following statements are correct ?

1. Q and R are disjoint sets

2. Q and R are joint sets

3. Q and R are equivalent sets

4. Q and R are equal sets

Q.

If A = {letters in the word BOOK} and B ={a, e, i }, then A and B are _________.

1. equivalent sets

2. joint sets

3. null sets

4. equal sets

Q.

If A =$\{x:x\in W,n\le 4\}$ and B = {set of vowels in the English Language}, then A and B are ____ sets.

1. equivalent

2. equal

3. null

4. singleton

Q. Classify the following pairs of a set as equal or equivalent set.
{Letters of the words Fellow } and $\{a,b,c,d\}$

Q. The relation between price of banans ($b$) and the quantity of bananas ($q$) bought is given as : $b=9q-11$
Find the value of '$b$' if value of $q=5$?

1. 16
2. 34
3. 25
4. 36

Q. For which of the following cases A and B are equivalent?

1. $A=\{\frac{1}{3},\frac{1}{2},\frac{3}{5}\};B=\{x:x=\frac{n}{n+2},nϵN\}$
2. $A=\{a,b,c,.....z\};B=\{26,25,24,....,3,2,1\}$
3. $A=\{2,4,6\};B=\left\{\right(4,6),(2,6),(2,4\left)\right\}$
4. $A=\{x:x=\frac{n^3-1}{n^3+1},nϵW,n\ge 3\};B=\{0,\frac{7}{9},\frac{13}{14}\}$

Q. Which of the following sets are equal?
(i)
(ii)
(iii)
(iv) .

Q. State, which pair of sets, given below, are equal sets or equivalent sets:
$\{7,7,2,1,2\}$ and $\{1,2,7\}$

Q. State whether each of the following statement is true or false for the sets A, B and C where
A = {x | x $\in$ N, x<40 and x is a multiple of $6$}
B = {x | x $\in$ N, x<40 and x is a multiple of $8$}
C = {x | x is a factor of $28$}
B$\leftrightarrow$C

Q. If the following statement is true then write $1$ else write $0$.

Q.

Write the given sentence in set language using the proper symbols $\in$‘ or ’$\notin$

$d$ is a member of the set of consonants.

Q. State, which pair of sets, given below, are equal sets or equivalent sets:
$\{2,4,6,8,10\}$ and {a, b, d, e, m}

Q.

State whether the sets $R=\left\{w,x,y,z\right\}$ and $S=\left\{a,e,i,o,u\right\}$ are equivalent sets or not.

Q. State whether the given pairs of sets are equal or equivalent.
(i) $A=\left\{firstfournaturalnumbers\right\}$ and $B=\left\{firstfourwholenumbers\right\}$.
(ii) $A$ = Set of letters of the word $"FOLLOW"$ and $B$ = Set of letters of the word $"WOLF"$.
(iii) $E=\left\{evennaturalnumberslessthan10\right\}$ and $O=\left\{oddnaturalnumberslessthan9\right\}$
(iv) $A=\left\{daysoftheweekstartingwithletterS\right\}$ and $B=\left\{daysoftheweekstartingwithletterT\right\}$.
(v) $M=\left\{multiplesof2and3between10and20\right\}$ and $N=\{multiplesof2and5between10and,20\}$.
(vi) $P=\left\{primenumberswhichdivide70exactly\right\}$ and $Q=\left\{primenumberswhichdivide105exactly\right\}$.
(vii) $A=\{0^2,1^2,2^2,3^2,4^2\}$ and $B=\{16,9,4,1,0\}$.
(viii) $E=\{8,10,12,14,16\}$ and $F=\left\{evennaturalnumbersbetween6and18\right\}$.
(ix) $A=\left\{lettersofthewordSUPERSTITION\right\}$ and $B=\left\{lettersofthewordJURISDICTION\right\}$.

Q. Classify the following pairs of a set as equal or equivalent set.
(Months of s year} and {Jan, Feb, .....December}

Q. How do you convert $35$ degrees into radians ?