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QUIZ

11th

grade

54%

accuracy

113

plays

Nilesh gulati

4 years

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15 questions

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- 1. Multiple Choice30 seconds1 pt
Find a and b, when (a - 1, b + 5) =(2, 3) .

a = 3, b = - 2

a = - 3, b = 2

a = 3, b = 2

a = - 3, b = - 2

- 2. Multiple Choice45 seconds1 pt
If $R=\left\{\left(x,y\right):\ x,\ y\in Z,\ x^2+y^2\le4\right\}$ is a relation on Z, then domain of R is

{0, 1, 2}

{0, - 1, - 2}

{- 2, - 1, 0, 1, 2}

none of these

- 3. Multiple Choice45 seconds1 pt
If A = {1, 2, 3}, B = {1, 4, 6, 9} and R is a relation from A to B defined by '

*x*is greater than y'. The range of R is{1, 4, 6, 9}

{4, 6, 9}

{1}

none of these

- 4. Multiple Choice20 seconds1 pt
If the set A has

*p*elements, B has*q*elements, then the number of elements in A x B is*p*+*q**p*+*q*+ 1*pq**p*^{2} - 5. Multiple Choice30 seconds1 pt
Let R be a relation on N defined by

*x*+ 2*y =*8. The domain of R is{2, 4, 8}

{2, 4, 6, 8}

{2, 4, 6}

{1, 2, 3, 4}

- 6. Multiple Choice30 seconds1 pt
If (x + 3, 5) = (6, 2x + y) then values of x and y are

x = 3, y = 1

x = 3, y = - 1

x = - 3, y = 1

x = - 3, y = - 1

- 7. Multiple Choice30 seconds1 pt
If A = {1, 2, 3} and B = {4, 5}, then

$\left(4,1\right)\in A\times B$

$\left(2,5\right)\in A\times B$

$\left(1,4\right)\in B\times A$

none of these

- 8. Multiple Choice30 seconds1 pt
If A, B, C are any three sets, then $A\times\left(B\cup C\right)=$

$\left(A\times B\right)\cup\left(A\times C\right)$

$\left(A\times B\right)\cap\left(A\times C\right)$

$\left(A\times B\right)-\left(A\times C\right)$

none of these

- 9. Multiple Choice20 seconds1 pt
If R is a relation from a set A to a set B, then

$R\subset B\times A$

$R=A\times B$

$R\subset A\times B$

none of these

- 10. Multiple Choice45 seconds1 pt
Number of relations that can be defined on the set A = {1, 2, 3} is

8

6

512

none of these

- 11. Multiple Choice30 seconds1 pt
If A and B are two finite sets containing respectively

*m*and*n*elements, then the number of non-empty relations that can be defined from A to B is$m^n$

$n^m-1$

$2^{mn}$

$2^{mn}-1$

- 12. Multiple Choice1 minute1 pt
Find the domain and range of the relation R given by $R=\left\{\left(x,y\right):y=x+\frac{6}{x};\ where\ x,\ y\in N\ and\ x<6\right\}$

Domain = {1, 2, 3}, Range = {5, 7}

Domain = {1, 2, 3, 4, 5}, Range = {5, 7}

Domain = {1, 2, 3, 4, 5}, Range = {7, 5, 5.5, 6.2}

none of these

- 13. Fill in the Blank30 seconds1 pt
Let A = {1, 2} and B = {3, 4}. How many subsets will A × B have?

- 14. Fill in the Blank30 seconds1 pt
Let A = {x, y, z} and B = {1, 2}. Find the number of relations from A to B.

- 15. Fill in the Blank45 seconds1 pt
Let A = {1, 2, 3,...,14}. Define a relation R from A to A by

R = {(x, y) : 3x – y = 0, where x, y $\in$ A}. Write down its domain. - Answer choicesTagsAnswer choicesTags
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