Roster Form

Q.

Write the sets in set builder form. $A=\{1,4,9,16,25\},B=\{1,8,27,64,125\}$

Q.

Question 6

If B is the mid-point of $\overline{AC}$ and C is the mid-point of $\overline{BD}$, where A, B, C, D lie on a straight line, say why AB = CD?

Q.

The roster form of "the set of the months in a year that ends with the letter 'y'" is

1. {January, February, May}

2. {January, February, May, July}

3. {January, February}

4. {May, July}

Q. Question 2(d)
Find the number from each of the following expanded forms:
(d) $9\times {10}^5+2\times {10}^2+3\times {10}^1$

Q.

What are geometric tools?

Q.

Which of the following numbers is a perfect cube?

1. $243$

2. $216$

3. $392$

4. $8640$

Q. The least prime factor of $a$ is $3$ and least prime factor of $b$ is $7$, then what is least prime factor of $(a+b)$

Q.

The roster form of the set $\{x:x=2r+3,\text{where}r\in I\text{and}-2<r\le 3\}$.

1. $\{0,1,3,5,7,9\}$

2. $\{1,3,5,7\}$

3. $\{1,3,5,7,9\}$

4. $\{0,1,3,5,7\}$

Q.

Write $\mathrm{B}=\left\{\mathrm{April},\mathrm{June},\mathrm{September},\mathrm{November}\right\}$ in set builder form.

Q.

Add 3 and (-15) to the sum of 17 and (-5). [2 MARKS]

Q. The least prime factor of a number m is 3 and least prime factor of another number n is 7 then least prime factor of the number (m + n) is

1. 2
2. 3
3. 5
4. 7

Q. The golden ratio is a special number approximately equal to ___________?

Q.

Write the given set in roster form:

“Set of vowels in English alphabet.”

Q.

If A = {set of integers between -3 and 5}, then set A written in Roster form is

1. A = {-3, -2, -1, 0, 1, 2, 3, 4, 5}

2. A = {-3, -2, -1, 0, 1, 2, 3, 4}

3. A = {-2, -1, 0, 1, 2, 3, 4}

4. A = {-2, -1, 0, 1, 2, 3, 4, 5}

Q.

State true or false.
Square of a perfect cube is an another perfect cube.

1. True

2. False

Q.

The roster form A = {set of vowels of the word MUSSOORIE} is ________.

1. A = {u, i, e}

2. A = {u, o, i, e}

3. A = {m, u, o, i, e}

4. A = {m, s, r}

Q. Write the set of vowels used in the word 'BENGAL'.

1. {N, E}
2. {E, L}
3. {A, E}
4. {A, B}

Q.

If B = {1, 3, 5, 7, 9}, the set-builder representation of B is:

1. B = {x: x is a prime number less than 10}

2. B = {x: x is an odd number less than 10}

3. B = {x: x is an odd natural number}

4. B = {x: x is an odd natural number less than 10}

Q.

Specify each of the following sets in the Roster form:

The set of multiples of $7$ less than $100$.

Q. Find the product, using suitable properties:
(a) 26 $\times$ (− 48) + (− 48) $\times$ (− 36)
(b) 15 $\times$ (− 25) $\times$ (− 4) × (− 10)
[4 MARKS]

Q.

5. Write the following sets in tabular form :

(ii) $\left\{x:x\in Wandx⩽5\right\}$

Q.

Write the given set in roster form $A=\left\{\text{Natural numbers less than15}\right\}$.

Q.

How do you know if two vectors are orthogonal?

Q.

The roster form of the set $\{x:x=\frac{n}{2n+1},\text{where}nϵN\text{and}n<4\}$ is ________.

1. $\{\frac{1}{2},\frac{2}{3},\frac{3}{5}\}$

2. $\{\frac{1}{3},\frac{1}{5},\frac{1}{7}\}$

3. $\{\frac{2}{3},\frac{2}{5},\frac{2}{7}\}$

4. $\{\frac{1}{3},\frac{2}{5},\frac{3}{7}\}$

Q. Write the set $\{x=xisapositiveinteger{x}^2<40\}$ in the roster form.

Q.

The roster form of the set $\{x:x=2r+3,\text{where}r\in I\text{and}-2<r\le 3\}$.

1. $\{1,3,5,7,9\}$

2. $\{0,1,3,5,7,9\}$

3. $\{1,3,5,7\}$

4. $\{0,1,3,5,7\}$

Q. Let $S$ be the set of all real numbers. A relation $R$ has been defined on $S$ by $aRb\iff |a-b|\le 1$, then $R$ is.

1. An equivalence relation
2. Symmetric and transitive but not reflective
3. Reflexive commulative ans associative
4. Reflexive and transitive but not symmetric

Q.

Write the given set in Roster-form and Set-builder form {Integers less then $10$ and greater than $-10\}$.

Q.

Write the given set in roster form $A=\left\{\text{Whole numbers greater than 101}\right\}.$

Q.

The Roster form of the set A = $\{x:xisaperfectsquare,x\in N,x\le 30\}$ is ________.

1. A = {1, 4, 9, 16, 25}

2. A = {1, 4, 9, 16}

3. A = { 4, 9, 16, 25}

4. A = {1, 4, 6, 25}