Bangladesh Bank - Assistant Director - 2011

মোট প্রশ্ন: ৮৫

পূর্ববর্তীপৃষ্ঠা ৩ এর ৫পরবর্তী

৪১

What is the slope of the line that contains the points ( 1, 3 ) and ( 4, -3 ) ?

ক.

-2

✓ সঠিক উত্তর

খ.

-0.5

গ.

ঘ.

ব্যাখ্যা

Slope of the line = 3 - ( - 3) / 1 - 4 = - 2

বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2011

What is the slope of the line that contains the points ( 1, 3 ) and ( 4, -3 ) ?

ক.

-2

✓ সঠিক উত্তর

খ.

-0.5

গ.

ঘ.

ব্যাখ্যা

Slope of the line = 3 - ( - 3) / 1 - 4 = - 2

বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2011

৪২

The price of corn rose 20% two years ago and 15% last year . what is the combined percent increase in price ?

ক.

খ.

17.5%

গ.

25%

ঘ.

35%

ব্যাখ্যা

Combined Percent = p + q + pq/100

বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011

The price of corn rose 20% two years ago and 15% last year . what is the combined percent increase in price ?

ক.

খ.

17.5%

গ.

25%

ঘ.

35%

ব্যাখ্যা

Combined Percent = p + q + pq/100

বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011

৪৩

A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in :

ক.

20 days

খ.

22.5 days

✓ সঠিক উত্তর

গ.

25 days

ঘ.

30 days

ব্যাখ্যা

Let, A can finish the job in x days

বিষয়: গণিতটপিক: সময় ও কাজ (Time and work)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011

A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in :

ক.

20 days

খ.

22.5 days

✓ সঠিক উত্তর

গ.

25 days

ঘ.

30 days

ব্যাখ্যা

Let, A can finish the job in x days

বিষয়: গণিতটপিক: সময় ও কাজ (Time and work)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011

৪৪

Riaz spent 20% of his income on taxes and 20% of the remainder on rent . What percent of his income has he spent on rent ?

ক.

খ.

গ.

✓ সঠিক উত্তর

ঘ.

ব্যাখ্যা

Lets,

বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011

Riaz spent 20% of his income on taxes and 20% of the remainder on rent . What percent of his income has he spent on rent ?

ক.

খ.

গ.

✓ সঠিক উত্তর

ঘ.

ব্যাখ্যা

Lets,

বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011

৪৫

75% of students of a class answered Question No. 1 correct and 55% answered Question No. 1 correct and 20% answered neither question correctly . What percent of students answered both question correctly ?

ক.

20%

খ.

25%

গ.

35%

ঘ.

45%

ব্যাখ্যা

Students answer Q.1 or Q.2 or both correctly = ( 100 - 20) = 80%

বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011

75% of students of a class answered Question No. 1 correct and 55% answered Question No. 1 correct and 20% answered neither question correctly . What percent of students answered both question correctly ?

ক.

20%

খ.

25%

গ.

35%

ঘ.

45%

ব্যাখ্যা

Students answer Q.1 or Q.2 or both correctly = ( 100 - 20) = 80%

বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011

৪৬

The taxicab charges TK. 4.60 for the first 0.2 mile of a trip and TK. 1.20 for each of 0.2 of a mile or a part thereof . If the trip is 2.5 miles one way and the waiting charge is TK. 7.50 for 30 minutes or part thereof . What will be the fare for a roun

ক.

খ.

✓ সঠিক উত্তর

গ.

ঘ.

6.50

ব্যাখ্যা

Total distance traveled = 2.5 × 2 = 5 miles

বিষয়: গণিতটপিক: ঐকিক নিয়ম (Unitary method)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011

The taxicab charges TK. 4.60 for the first 0.2 mile of a trip and TK. 1.20 for each of 0.2 of a mile or a part thereof . If the trip is 2.5 miles one way and the waiting charge is TK. 7.50 for 30 minutes or part thereof . What will be the fare for a roun

ক.

খ.

✓ সঠিক উত্তর

গ.

ঘ.

6.50

ব্যাখ্যা

Total distance traveled = 2.5 × 2 = 5 miles

বিষয়: গণিতটপিক: ঐকিক নিয়ম (Unitary method)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011

৪৭

How many squares are there in a chess board if each player has got 16 pawns to play with ?

ক.

খ.

128

গ.

204

✓ সঠিক উত্তর

ঘ.

256

ব্যাখ্যা

Normally a chess board has 8 pawns and its squares are 8² or 64.

বিষয়: গণিতটপিক: পরিমিতি (Mensuration)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011

How many squares are there in a chess board if each player has got 16 pawns to play with ?

ক.

খ.

128

গ.

204

✓ সঠিক উত্তর

ঘ.

256

ব্যাখ্যা

Normally a chess board has 8 pawns and its squares are 8² or 64.

বিষয়: গণিতটপিক: পরিমিতি (Mensuration)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011

৪৮

Two planes leave the airport at the same time . Minutes later, plane A is 33 miles due north of the airport and plane B is 56 miles due east of the airport . How far apart are the two planes ?

ক.

খ.

119

গ.

✓ সঠিক উত্তর

ঘ.

বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2011

Two planes leave the airport at the same time . Minutes later, plane A is 33 miles due north of the airport and plane B is 56 miles due east of the airport . How far apart are the two planes ?

ক.

খ.

119

গ.

✓ সঠিক উত্তর

ঘ.

বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2011

৪৯

If the length and width of a rectangle garden plot were each increased by 20% , what would be the percent increase in the area of plot ?

ক.

20%

খ.

24%

গ.

36%

ঘ.

40%

বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011

If the length and width of a rectangle garden plot were each increased by 20% , what would be the percent increase in the area of plot ?

ক.

20%

খ.

24%

গ.

36%

ঘ.

40%

বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011

৫০

if x>0 and $\sqrt{\frac{y}{x} = x},$ $\sqrt{\frac{y}{x} = x},$ , then what is the value of y in terms of x?

ক.

\frac{1}{x}

$\frac{1}{x}$

খ.

\sqrt{x}

$\sqrt{x}$

গ.

x \sqrt{x}

$x \sqrt{x}$

ঘ.

x^{2} \sqrt{x}

$x^{2} \sqrt{x}$

ব্যাখ্যা

To find the value of y in terms of x, let's solve the given equation:

বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2011

if x>0 and $\sqrt{\frac{y}{x} = x},$ $\sqrt{\frac{y}{x} = x},$ , then what is the value of y in terms of x?

ক.

\frac{1}{x}

$\frac{1}{x}$

খ.

\sqrt{x}

$\sqrt{x}$

গ.

x \sqrt{x}

$x \sqrt{x}$

ঘ.

x^{2} \sqrt{x}

$x^{2} \sqrt{x}$

ব্যাখ্যা

To find the value of y in terms of x, let's solve the given equation:

বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2011

৫১

If x =-1, then $\frac{x^{4} - x^{3} + x^{2}}{x - 1}$ $\frac{x^{4} - x^{3} + x^{2}}{x - 1}$ =?

ক.

- \frac{3}{2}

$- \frac{3}{2}$

✓ সঠিক উত্তর

খ.

- \frac{1}{2}

$- \frac{1}{2}$

গ.

\frac{1}{2}

$\frac{1}{2}$

ব্যাখ্যা

Given that, x =-1

বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2011

If x =-1, then $\frac{x^{4} - x^{3} + x^{2}}{x - 1}$ $\frac{x^{4} - x^{3} + x^{2}}{x - 1}$ =?

ক.

- \frac{3}{2}

$- \frac{3}{2}$

✓ সঠিক উত্তর

খ.

- \frac{1}{2}

$- \frac{1}{2}$

গ.

\frac{1}{2}

$\frac{1}{2}$

ব্যাখ্যা

Given that, x =-1

বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2011

৫২

If x =5 , what is the value of ( $x^{7} \div x^{5} \times x^{2}) ?$ $x^{7} \div x^{5} \times x^{2}) ?$

ক.

খ.

গ.

125

ঘ.

625

✓ সঠিক উত্তর

ব্যাখ্যা

Let's substitute the value of x = 5 into the given expression:

বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2011

If x =5 , what is the value of ( $x^{7} \div x^{5} \times x^{2}) ?$ $x^{7} \div x^{5} \times x^{2}) ?$

ক.

খ.

গ.

125

ঘ.

625

✓ সঠিক উত্তর

ব্যাখ্যা

Let's substitute the value of x = 5 into the given expression:

বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2011

৫৩

A cube has a volume of 8 $M^{3}$ $M^{3}$ . If each side is doubled is length, what will be its new volume ?

ক.

M^{3}

$M^{3}$

খ.

M^{3}

$M^{3}$

গ.

M^{3}

$M^{3}$

ঘ.

M^{3}

$M^{3}$

ব্যাখ্যা

The volume of a cube is calculated by cubing the length of its sides. If each side is doubled in length, the new volume can be found by cubing the new side length.

বিষয়: গণিতটপিক: পরিমিতি (Mensuration)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011

A cube has a volume of 8 $M^{3}$ $M^{3}$ . If each side is doubled is length, what will be its new volume ?

ক.

M^{3}

$M^{3}$

খ.

M^{3}

$M^{3}$

গ.

M^{3}

$M^{3}$

ঘ.

M^{3}

$M^{3}$

ব্যাখ্যা

The volume of a cube is calculated by cubing the length of its sides. If each side is doubled in length, the new volume can be found by cubing the new side length.

বিষয়: গণিতটপিক: পরিমিতি (Mensuration)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011

৫৪

How many degrees does a minute hand move in 20 minutes?

ক.

20 °

$20 °$

খ.

120 °

$120 °$

✓ সঠিক উত্তর

গ.

60 °

$60 °$

ঘ.

100 °

$100 °$

ব্যাখ্যা

The minute hand of a clock completes a full revolution of 360 degrees in 60 minutes, which means it moves 360 degrees in an hour.

বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2011

How many degrees does a minute hand move in 20 minutes?

ক.

20 °

$20 °$

খ.

120 °

$120 °$

✓ সঠিক উত্তর

গ.

60 °

$60 °$

ঘ.

100 °

$100 °$

ব্যাখ্যা

The minute hand of a clock completes a full revolution of 360 degrees in 60 minutes, which means it moves 360 degrees in an hour.

বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2011

৫৫

$\sqrt{150} + \sqrt{150} = ?$ $\sqrt{150} + \sqrt{150} = ?$

ক.

খ.

গ.

✓ সঠিক উত্তর

ঘ.

600

ব্যাখ্যা

To calculate √150 + √150, we need to find the square root of 150 and then add it to itself.

বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2011

$\sqrt{150} + \sqrt{150} = ?$ $\sqrt{150} + \sqrt{150} = ?$

ক.

খ.

গ.

✓ সঠিক উত্তর

ঘ.

600

ব্যাখ্যা

To calculate √150 + √150, we need to find the square root of 150 and then add it to itself.

বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2011

৫৬

In the figure , AB and AC are radii of two circles. Length of BC is 6. If AB = 4, what is AC? AC is tangent to the circle with centre B.

ক.

2 \sqrt{5}

$2 \sqrt{5}$

✓ সঠিক উত্তর

খ.

5.5

গ.

3 \sqrt{5}

$3 \sqrt{5}$

ঘ.

3 \sqrt{2}

$3 \sqrt{2}$

বিষয়: গণিতটপিক: বৃত্ত (Circle)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011

In the figure , AB and AC are radii of two circles. Length of BC is 6. If AB = 4, what is AC? AC is tangent to the circle with centre B.

ক.

2 \sqrt{5}

$2 \sqrt{5}$

✓ সঠিক উত্তর

খ.

5.5

গ.

3 \sqrt{5}

$3 \sqrt{5}$

ঘ.

3 \sqrt{2}

$3 \sqrt{2}$

বিষয়: গণিতটপিক: বৃত্ত (Circle)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011

৫৭

'Palgiarism' is

ক.

the act of using someone else's ideas as one's own

✓ সঠিক উত্তর

খ.

the act of planning everything beforehand

গ.

the art of pottery

ঘ.

the art of playing a musical instrument

বিষয়: ইংরেজিটপিক: Substitutionsরেফারেন্স: Bangladesh Bank - Assistant Director - 2011

'Palgiarism' is

ক.

the act of using someone else's ideas as one's own

✓ সঠিক উত্তর

খ.

the act of planning everything beforehand

গ.

the art of pottery

ঘ.

the art of playing a musical instrument

বিষয়: ইংরেজিটপিক: Substitutionsরেফারেন্স: Bangladesh Bank - Assistant Director - 2011

৫৮

Choose the correct one :

ক.

In spite of my illness, attended the meeting

✓ সঠিক উত্তর

খ.

Despite of my illness, attended the meeting

গ.

In spite my illness, attend the meeting

ঘ.

Despite my illness, I had attended the meeting

বিষয়: ইংরেজিটপিক: Correctionsরেফারেন্স: Bangladesh Bank - Assistant Director - 2011

Choose the correct one :

ক.

In spite of my illness, attended the meeting

✓ সঠিক উত্তর

খ.

Despite of my illness, attended the meeting

গ.

In spite my illness, attend the meeting

ঘ.

Despite my illness, I had attended the meeting

বিষয়: ইংরেজিটপিক: Correctionsরেফারেন্স: Bangladesh Bank - Assistant Director - 2011

৫৯

Before adapting to changes in value , many prefer to _, to _ the universally agreed on principles that have been upheld for centuries .

ক.

innovate .... protect

খ.

resist ... defend

✓ সঠিক উত্তর

গ.

ponder .... subvert

ঘ.

vacillate ..... publicize

বিষয়: ইংরেজিটপিক: Right Form of Verbsরেফারেন্স: Bangladesh Bank - Assistant Director - 2011

Before adapting to changes in value , many prefer to _, to _ the universally agreed on principles that have been upheld for centuries .

ক.

innovate .... protect

খ.

resist ... defend

✓ সঠিক উত্তর

গ.

ponder .... subvert

ঘ.

vacillate ..... publicize

বিষয়: ইংরেজিটপিক: Right Form of Verbsরেফারেন্স: Bangladesh Bank - Assistant Director - 2011

৬০

Which of the following is would be analogous to "Refinery Petroleum" ?

ক.

mill : grain

✓ সঠিক উত্তর

খ.

mine : ore

গ.

warehouse : merchandise

ঘ.

generator : electricity

বিষয়: ইংরেজিটপিক: Analogyরেফারেন্স: Bangladesh Bank - Assistant Director - 2011

Which of the following is would be analogous to "Refinery Petroleum" ?

ক.

mill : grain

✓ সঠিক উত্তর

খ.

mine : ore

গ.

warehouse : merchandise

ঘ.

generator : electricity

বিষয়: ইংরেজিটপিক: Analogyরেফারেন্স: Bangladesh Bank - Assistant Director - 2011

Bangladesh Bank - Assistant Director - 2011

What is the slope of the line that contains the points ( 1, 3 ) and ( 4, -3 ) ?

ব্যাখ্যা

What is the slope of the line that contains the points ( 1, 3 ) and ( 4, -3 ) ?

ব্যাখ্যা

The price of corn rose 20% two years ago and 15% last year . what is the combined percent increase in price ?

ব্যাখ্যা

The price of corn rose 20% two years ago and 15% last year . what is the combined percent increase in price ?

ব্যাখ্যা

A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in :

ব্যাখ্যা

A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in :

ব্যাখ্যা

Riaz spent 20% of his income on taxes and 20% of the remainder on rent . What percent of his income has he spent on rent ?

ব্যাখ্যা

Riaz spent 20% of his income on taxes and 20% of the remainder on rent . What percent of his income has he spent on rent ?

ব্যাখ্যা

75% of students of a class answered Question No. 1 correct and 55% answered Question No. 1 correct and 20% answered neither question correctly . What percent of students answered both question correctly ?

ব্যাখ্যা

75% of students of a class answered Question No. 1 correct and 55% answered Question No. 1 correct and 20% answered neither question correctly . What percent of students answered both question correctly ?

ব্যাখ্যা

The taxicab charges TK. 4.60 for the first 0.2 mile of a trip and TK. 1.20 for each of 0.2 of a mile or a part thereof . If the trip is 2.5 miles one way and the waiting charge is TK. 7.50 for 30 minutes or part thereof . What will be the fare for a roun

ব্যাখ্যা

The taxicab charges TK. 4.60 for the first 0.2 mile of a trip and TK. 1.20 for each of 0.2 of a mile or a part thereof . If the trip is 2.5 miles one way and the waiting charge is TK. 7.50 for 30 minutes or part thereof . What will be the fare for a roun

ব্যাখ্যা

How many squares are there in a chess board if each player has got 16 pawns to play with ?

ব্যাখ্যা

How many squares are there in a chess board if each player has got 16 pawns to play with ?

ব্যাখ্যা

Two planes leave the airport at the same time . Minutes later, plane A is 33 miles due north of the airport and plane B is 56 miles due east of the airport . How far apart are the two planes ?

Two planes leave the airport at the same time . Minutes later, plane A is 33 miles due north of the airport and plane B is 56 miles due east of the airport . How far apart are the two planes ?

If the length and width of a rectangle garden plot were each increased by 20% , what would be the percent increase in the area of plot ?

If the length and width of a rectangle garden plot were each increased by 20% , what would be the percent increase in the area of plot ?

if x>0 and √yx=x,yx=x,<math xmlns="http://www.w3.org/1998/Math/MathML"><msqrt><mfrac><mi>y</mi><mi>x</mi></mfrac><mo>=</mo><mi>x</mi></msqrt><mo>,</mo><mo> </mo></math> , then what is the value of y in terms of x?

ব্যাখ্যা

if x>0 and √yx=x,yx=x,<math xmlns="http://www.w3.org/1998/Math/MathML"><msqrt><mfrac><mi>y</mi><mi>x</mi></mfrac><mo>=</mo><mi>x</mi></msqrt><mo>,</mo><mo> </mo></math> , then what is the value of y in terms of x?

ব্যাখ্যা

If x =-1, then x4−x3+x2x−1x4-x3+x2x-1<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><msup><mi>x</mi><mn>2</mn></msup></mrow><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfrac></math>=?

ব্যাখ্যা

If x =-1, then x4−x3+x2x−1x4-x3+x2x-1<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><msup><mi>x</mi><mn>2</mn></msup></mrow><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfrac></math>=?

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If x =5 , what is the value of (x7÷x5×x2)?x7÷x5×x2)?<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>7</mn></msup><mo>÷</mo><msup><mi>x</mi><mn>5</mn></msup><mo>×</mo><msup><mi>x</mi><mn>2</mn></msup><mo>)</mo><mo>?</mo></math>

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If x =5 , what is the value of (x7÷x5×x2)?x7÷x5×x2)?<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>7</mn></msup><mo>÷</mo><msup><mi>x</mi><mn>5</mn></msup><mo>×</mo><msup><mi>x</mi><mn>2</mn></msup><mo>)</mo><mo>?</mo></math>

ব্যাখ্যা

A cube has a volume of 8M3M3<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>M</mi><mn>3</mn></msup></math> . If each side is doubled is length, what will be its new volume ?

ব্যাখ্যা

A cube has a volume of 8M3M3<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>M</mi><mn>3</mn></msup></math> . If each side is doubled is length, what will be its new volume ?

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How many degrees does a minute hand move in 20 minutes?

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How many degrees does a minute hand move in 20 minutes?

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√150+√150=?150+150=?<math xmlns="http://www.w3.org/1998/Math/MathML"><msqrt><mn>150</mn></msqrt><mo> </mo><mo>+</mo><msqrt><mn>150</mn></msqrt><mo>=</mo><mo>?</mo></math>

ব্যাখ্যা

√150+√150=?150+150=?<math xmlns="http://www.w3.org/1998/Math/MathML"><msqrt><mn>150</mn></msqrt><mo> </mo><mo>+</mo><msqrt><mn>150</mn></msqrt><mo>=</mo><mo>?</mo></math>

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In the figure , AB and AC are radii of two circles. Length of BC is 6. If AB = 4, what is AC? AC is tangent to the circle with centre B.

In the figure , AB and AC are radii of two circles. Length of BC is 6. If AB = 4, what is AC? AC is tangent to the circle with centre B.

'Palgiarism' is

'Palgiarism' is

Choose the correct one :

Choose the correct one :

Before adapting to changes in value , many prefer to ___, to ___ the universally agreed on principles that have been upheld for centuries .

Before adapting to changes in value , many prefer to ___, to ___ the universally agreed on principles that have been upheld for centuries .

Which of the following is would be analogous to "Refinery Petroleum" ?

Which of the following is would be analogous to "Refinery Petroleum" ?

if x>0 and $\sqrt{\frac{y}{x} = x},$ $\sqrt{\frac{y}{x} = x},$ , then what is the value of y in terms of x?

if x>0 and $\sqrt{\frac{y}{x} = x},$ $\sqrt{\frac{y}{x} = x},$ , then what is the value of y in terms of x?

If x =-1, then $\frac{x^{4} - x^{3} + x^{2}}{x - 1}$ $\frac{x^{4} - x^{3} + x^{2}}{x - 1}$ =?

If x =-1, then $\frac{x^{4} - x^{3} + x^{2}}{x - 1}$ $\frac{x^{4} - x^{3} + x^{2}}{x - 1}$ =?

If x =5 , what is the value of ( $x^{7} \div x^{5} \times x^{2}) ?$ $x^{7} \div x^{5} \times x^{2}) ?$

If x =5 , what is the value of ( $x^{7} \div x^{5} \times x^{2}) ?$ $x^{7} \div x^{5} \times x^{2}) ?$

A cube has a volume of 8 $M^{3}$ $M^{3}$ . If each side is doubled is length, what will be its new volume ?

A cube has a volume of 8 $M^{3}$ $M^{3}$ . If each side is doubled is length, what will be its new volume ?

$\sqrt{150} + \sqrt{150} = ?$ $\sqrt{150} + \sqrt{150} = ?$

$\sqrt{150} + \sqrt{150} = ?$ $\sqrt{150} + \sqrt{150} = ?$

Before adapting to changes in value , many prefer to _, to _ the universally agreed on principles that have been upheld for centuries .

Before adapting to changes in value , many prefer to _, to _ the universally agreed on principles that have been upheld for centuries .