Associative Property

Q.

Question 21

Rani ate $\frac{2}{7}$ part of a cake while her brother Ravi ate $\frac{4}{5}$ of the remaining. Part of the cake left is ___.

Q.

Question 101

It takes $2\frac{1}{3}$ m of cloth to make a shirt. How many shirts can Radhika make from a piece of cloth $9\frac{1}{3}$ m long?

Q.

$A=\left\{1,2,3\right\}\text{and}B=\left\{3,8\right\}$; then $(A\cup B)\times (A\cap B)$ is

1. $\left\{(3,1),(2,3),(3,3),(3,8)\right\}$

2. $\left\{(1,3),(2,3),(3,3),(8,3)\right\}$

3. $\left\{(1,2),(2,3),(3,3),(8,8)\right\}$

4. $\left\{(8,3),(8,2),(8,1),(8,8)\right\}$

Q.

verify the associative property for multiplication of whole numbers 13, 11, 12

Q.

Evaluate the following using the suitable property of whole number.

61725 × 92 + 61725 × 8

Q. Question 1 (iii)
$\frac{3}{5}+\frac{2}{7}$

Q.

Subtraction of integers is an operation that is

1. Commutative and associative

2. Not commutative but associative

3. Neither commutative nor associative

4. Commutative but not associative

Q. Simplify.

(i)$\frac{4}{7}\sqrt{147}+\frac{3}{8}\sqrt{192}-\frac{1}{5}\sqrt{75}$

(ii) $5\sqrt{3}+2\sqrt{27}+\frac{1}{\sqrt{3}}$

(iii) $\sqrt{216}-5\sqrt{6}+\sqrt{294}-\frac{3}{\sqrt{6}}$

(iv)$4\sqrt{12}-\sqrt{75}-7\sqrt{48}$


(v) $2\sqrt{48}-\sqrt{75}-\frac{1}{\sqrt{3}}$

Q. Consider the following statements for non empty sets A, B and C
1 $A-(B-C)=(A-B)\cup C$
2 $A-(B\cup C)=(A-B)-C$
which of the statements given above is/are correct?

1. 1 only
2. 2 only
3. Both 1 and 2
4. Neither 1 nor 2

Q. If $A=\{1,2\},$ $B=\{2,4\}$ and $C=\{4,6\},$ then $A\cap (B\cap C)$ = ___.

1. $\left\{\right\}$
2. $\{1,2,4,6\}$
3. $(A\cup B)\cup C$
4. $(A\cap B)\cap C$

Q. If $A=$ {$-2,3,0$}, $B=$ {$-1,-4$} and $C=$ {$1,-2$}. then prove $(A\cup B)\cup C=A\cup (B\cup C)$

Q. Find the consequent of the converse of "if $c>d$ then $c-d=0$".

Q. If $A=\{1,2\},$ $B=\{3,4\}$ and $C=\{5,6\},$ then $A\cup (B\cup C)$ = ___.

1. $(A\cup B)\cup C$
2. $\{1,2,3,4,5,6\}$
3. $(A\cap B)\cap C$
4. $A\cap (B\cap C)$

Q. Find the value of (64)-2/3*(27)-2/3

Q. Given P = {a, b, c, d, e}, Q = {a, e, i, o, u} and R = {a, c, e, g}, verify associative property of union and intersection of sets.

Q. $A\cup (B\cup C)=(A\cup B)\cup C$

Q.

Complete the following statements with suitable words or figures.

$800+(,,,,,,,+391)=(........+648)+391$

Q. Let A = {a, b, c, d} B = {a, c , e} and C ={a, e}

Q. Given root 2=1.414 find the value of 3+root 2/3-root 2

Q.

Fill in the blanks with appropriate numbers so as to make the statement true:

$676+(73+9806)=(......+73)+9806$

Q. Given P={ a, b, c, d, e}, Q={ a, e, i, o, u} and R={ a, c, e, g}. Verify the associative property of set intersection.

Q. If A =$\{p,q,r,s\}$ and $B=\{m,n,p,q,s\}$ , then verify the association property of union of sets ?

Q. If $A=$ {$1,2,3$}, $B=$ {$2,4$} and $C=$ {$1,2$}, then prove $(A\cup B)\cup C=A\cup (B\cup C)$

Q. Let A = {1, 2, 3}, B = {2, 4, 6, 8}, C = {3, 4, 5, 6} then prove the following :
$B\cap C$ = {4, 6}

Q. if $A=0,1,2,32:B=2,3$ and $C=1,2$, then $A\times (B\cap C)=$

Q. Rationalise root 11+ root 5 divided by root 11- root 5.

Q. 2 ROOT 6 BY ROOT 2 + ROOT 3

Q. 2 root 6 by root 2 + root 3 + 6 root 2 by root 6 + root 3 what is the answer.

Q. Verify associativity for the given three mappings: $f:N\to Z_0$ (the set of non-zero integers), $g:Z_0\to Q$ and $h:Q\to R$, given by $f\left(x\right)=2x,g\left(x\right)=\frac{1}{x}$ and $h\left(x\right)=e^x$.

Q. Simplify (4√12)-√5-(7√48)