QBManager

06. ALGEBRA

290573 9 taken away from the sum of x and y is:

1

x + y - 9

2

9 - (x + y)

3

\frac{x + y}{9}

4

\frac{9}{x + y}

Explanation:

$x + y - 9$
We know that the word 'sum' means addition and 'taken away' means subtracting.
So,
The sum of x and y = x+y.
Thus,
Taking away 9 from the sum of x and y = (x+y)−9.

06. ALGEBRA

290574 If $A = π (R^{2} - r^{2})$ than R is equal to.

1

\sqrt{\frac{A - π r^{2}}{π}}

2

\sqrt{\frac{A + π r^{2}}{π}}

3

\sqrt{\frac{r^{2} π - A}{π}}

4

\sqrt{\frac{r^{2} π - A}{r}}

Explanation:

$\sqrt{\frac{A - π r^{2}}{π}}$
Given, $A = π (R^{2} - r^{2})$
Therefore $A = π R^{2} - π r^{2} \Rightarrow A + π r^{2} = π R^{2}$
$\Rightarrow R^{2} = \frac{A + π r^{2}}{π}$
$\Rightarrow R = \sqrt{\frac{A + π r^{2}}{π}}$

06. ALGEBRA

290575 a $^{1}$ b $^{1}$ × 2ab $^{1}$ is equal to:

1 2a

^{1}

b

^{1}

2 2a

^{1}

b

^{1}

3 2ab

4 a

^{1}

b

^{1}

Explanation:

2a $^{1}$ b $^{1}$
B 2a $^{1}$ b $^{1}$
a $^{1}$ b $^{1}$ × 2ab $^{1}$
= 2a $^{1}$ × a × b $^{1}$ × b $^{1}$
= 2a $^{1}$ b $^{1}$

06. ALGEBRA

290576 The expression for ‘ 1 subtracted from 2p’ is.

1 2p - 1

2 2p + 1

3 1 - 2p

4 -2p -1

06. ALGEBRA

290577 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The rule, which gives the number of matchsticks required to make the matchstick pattern U, is 4n.
Reason (R): For n = 2, the number of matchsticks required = 2 × 2 = 4

1 Both A and R are true and R is the correct explanation of A

2 Both A and R are true but R is not the correct explanation of A

3 A is true but R is false

4 A is false but R is true

06. ALGEBRA

290573 9 taken away from the sum of x and y is:

1

x + y - 9

2

9 - (x + y)

3

\frac{x + y}{9}

4

\frac{9}{x + y}

Explanation:

$x + y - 9$
We know that the word 'sum' means addition and 'taken away' means subtracting.
So,
The sum of x and y = x+y.
Thus,
Taking away 9 from the sum of x and y = (x+y)−9.

06. ALGEBRA

290574 If $A = π (R^{2} - r^{2})$ than R is equal to.

1

\sqrt{\frac{A - π r^{2}}{π}}

2

\sqrt{\frac{A + π r^{2}}{π}}

3

\sqrt{\frac{r^{2} π - A}{π}}

4

\sqrt{\frac{r^{2} π - A}{r}}

Explanation:

$\sqrt{\frac{A - π r^{2}}{π}}$
Given, $A = π (R^{2} - r^{2})$
Therefore $A = π R^{2} - π r^{2} \Rightarrow A + π r^{2} = π R^{2}$
$\Rightarrow R^{2} = \frac{A + π r^{2}}{π}$
$\Rightarrow R = \sqrt{\frac{A + π r^{2}}{π}}$

06. ALGEBRA

290575 a $^{1}$ b $^{1}$ × 2ab $^{1}$ is equal to:

1 2a

^{1}

b

^{1}

2 2a

^{1}

b

^{1}

3 2ab

4 a

^{1}

b

^{1}

Explanation:

2a $^{1}$ b $^{1}$
B 2a $^{1}$ b $^{1}$
a $^{1}$ b $^{1}$ × 2ab $^{1}$
= 2a $^{1}$ × a × b $^{1}$ × b $^{1}$
= 2a $^{1}$ b $^{1}$

06. ALGEBRA

290576 The expression for ‘ 1 subtracted from 2p’ is.

1 2p - 1

2 2p + 1

3 1 - 2p

4 -2p -1

06. ALGEBRA

290577 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The rule, which gives the number of matchsticks required to make the matchstick pattern U, is 4n.
Reason (R): For n = 2, the number of matchsticks required = 2 × 2 = 4

1 Both A and R are true and R is the correct explanation of A

2 Both A and R are true but R is not the correct explanation of A

3 A is true but R is false

4 A is false but R is true

06. ALGEBRA

290573 9 taken away from the sum of x and y is:

1

x + y - 9

2

9 - (x + y)

3

\frac{x + y}{9}

4

\frac{9}{x + y}

Explanation:

$x + y - 9$
We know that the word 'sum' means addition and 'taken away' means subtracting.
So,
The sum of x and y = x+y.
Thus,
Taking away 9 from the sum of x and y = (x+y)−9.

06. ALGEBRA

290574 If $A = π (R^{2} - r^{2})$ than R is equal to.

1

\sqrt{\frac{A - π r^{2}}{π}}

2

\sqrt{\frac{A + π r^{2}}{π}}

3

\sqrt{\frac{r^{2} π - A}{π}}

4

\sqrt{\frac{r^{2} π - A}{r}}

Explanation:

$\sqrt{\frac{A - π r^{2}}{π}}$
Given, $A = π (R^{2} - r^{2})$
Therefore $A = π R^{2} - π r^{2} \Rightarrow A + π r^{2} = π R^{2}$
$\Rightarrow R^{2} = \frac{A + π r^{2}}{π}$
$\Rightarrow R = \sqrt{\frac{A + π r^{2}}{π}}$

06. ALGEBRA

290575 a $^{1}$ b $^{1}$ × 2ab $^{1}$ is equal to:

1 2a

^{1}

b

^{1}

2 2a

^{1}

b

^{1}

3 2ab

4 a

^{1}

b

^{1}

Explanation:

2a $^{1}$ b $^{1}$
B 2a $^{1}$ b $^{1}$
a $^{1}$ b $^{1}$ × 2ab $^{1}$
= 2a $^{1}$ × a × b $^{1}$ × b $^{1}$
= 2a $^{1}$ b $^{1}$

06. ALGEBRA

290576 The expression for ‘ 1 subtracted from 2p’ is.

1 2p - 1

2 2p + 1

3 1 - 2p

4 -2p -1

06. ALGEBRA

290577 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The rule, which gives the number of matchsticks required to make the matchstick pattern U, is 4n.
Reason (R): For n = 2, the number of matchsticks required = 2 × 2 = 4

1 Both A and R are true and R is the correct explanation of A

2 Both A and R are true but R is not the correct explanation of A

3 A is true but R is false

4 A is false but R is true

06. ALGEBRA

290573 9 taken away from the sum of x and y is:

1

x + y - 9

2

9 - (x + y)

3

\frac{x + y}{9}

4

\frac{9}{x + y}

Explanation:

$x + y - 9$
We know that the word 'sum' means addition and 'taken away' means subtracting.
So,
The sum of x and y = x+y.
Thus,
Taking away 9 from the sum of x and y = (x+y)−9.

06. ALGEBRA

290574 If $A = π (R^{2} - r^{2})$ than R is equal to.

1

\sqrt{\frac{A - π r^{2}}{π}}

2

\sqrt{\frac{A + π r^{2}}{π}}

3

\sqrt{\frac{r^{2} π - A}{π}}

4

\sqrt{\frac{r^{2} π - A}{r}}

Explanation:

$\sqrt{\frac{A - π r^{2}}{π}}$
Given, $A = π (R^{2} - r^{2})$
Therefore $A = π R^{2} - π r^{2} \Rightarrow A + π r^{2} = π R^{2}$
$\Rightarrow R^{2} = \frac{A + π r^{2}}{π}$
$\Rightarrow R = \sqrt{\frac{A + π r^{2}}{π}}$

06. ALGEBRA

290575 a $^{1}$ b $^{1}$ × 2ab $^{1}$ is equal to:

1 2a

^{1}

b

^{1}

2 2a

^{1}

b

^{1}

3 2ab

4 a

^{1}

b

^{1}

Explanation:

2a $^{1}$ b $^{1}$
B 2a $^{1}$ b $^{1}$
a $^{1}$ b $^{1}$ × 2ab $^{1}$
= 2a $^{1}$ × a × b $^{1}$ × b $^{1}$
= 2a $^{1}$ b $^{1}$

06. ALGEBRA

290576 The expression for ‘ 1 subtracted from 2p’ is.

1 2p - 1

2 2p + 1

3 1 - 2p

4 -2p -1

06. ALGEBRA

290577 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The rule, which gives the number of matchsticks required to make the matchstick pattern U, is 4n.
Reason (R): For n = 2, the number of matchsticks required = 2 × 2 = 4

1 Both A and R are true and R is the correct explanation of A

2 Both A and R are true but R is not the correct explanation of A

3 A is true but R is false

4 A is false but R is true

06. ALGEBRA

290573 9 taken away from the sum of x and y is:

1

x + y - 9

2

9 - (x + y)

3

\frac{x + y}{9}

4

\frac{9}{x + y}

Explanation:

$x + y - 9$
We know that the word 'sum' means addition and 'taken away' means subtracting.
So,
The sum of x and y = x+y.
Thus,
Taking away 9 from the sum of x and y = (x+y)−9.

06. ALGEBRA

290574 If $A = π (R^{2} - r^{2})$ than R is equal to.

1

\sqrt{\frac{A - π r^{2}}{π}}

2

\sqrt{\frac{A + π r^{2}}{π}}

3

\sqrt{\frac{r^{2} π - A}{π}}

4

\sqrt{\frac{r^{2} π - A}{r}}

Explanation:

$\sqrt{\frac{A - π r^{2}}{π}}$
Given, $A = π (R^{2} - r^{2})$
Therefore $A = π R^{2} - π r^{2} \Rightarrow A + π r^{2} = π R^{2}$
$\Rightarrow R^{2} = \frac{A + π r^{2}}{π}$
$\Rightarrow R = \sqrt{\frac{A + π r^{2}}{π}}$

06. ALGEBRA

290575 a $^{1}$ b $^{1}$ × 2ab $^{1}$ is equal to:

1 2a

^{1}

b

^{1}

2 2a

^{1}

b

^{1}

3 2ab

4 a

^{1}

b

^{1}

Explanation:

2a $^{1}$ b $^{1}$
B 2a $^{1}$ b $^{1}$
a $^{1}$ b $^{1}$ × 2ab $^{1}$
= 2a $^{1}$ × a × b $^{1}$ × b $^{1}$
= 2a $^{1}$ b $^{1}$

06. ALGEBRA

290576 The expression for ‘ 1 subtracted from 2p’ is.

1 2p - 1

2 2p + 1

3 1 - 2p

4 -2p -1

06. ALGEBRA

290577 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The rule, which gives the number of matchsticks required to make the matchstick pattern U, is 4n.
Reason (R): For n = 2, the number of matchsticks required = 2 × 2 = 4

1 Both A and R are true and R is the correct explanation of A

2 Both A and R are true but R is not the correct explanation of A

3 A is true but R is false

4 A is false but R is true