Explanation

The expression a(b + c −d) simplifies to:

ab + ac −ad

So, the correct option is: ac + ab - ad

Explanation

To find the least common multiple (LCM) of 6 and 8, we need to list the multiples of each number:

Multiples of 6: 6, 12, 18, 24, ...

Multiples of 8: 8, 16, 24, ...

The smallest number that appears in both lists is 24, so the LCM of 6 and 8 is: 24

Explanation

They had finished their homework by the time we arrived.

ہمارے پہنچنے تک وہ اپنا ہوم ورک ختم کر چکے تھے۔

The correct answer is "Had" because:

• The sentence uses the past perfect tense.
• The past perfect is used to show that one event happened before another event in the past.
• In this case, the homework was completed before "we arrived."

Explanation

The square root of 144 is:

√144 = 12

Since 12 × 12 = 144.

So, the correct answer is: 12

Explanation

The arithmetic mean (average) of 25 values is 10, so we can set up the equation:

Sum of values / 25 = 10

Multiply both sides by 25:

Sum of values = 25 × 10

Sum of values = 250

So, the correct answer is: 250

Explanation

12x + 17 = 65

Subtract 17 from both sides:

12x = 65 - 17

12x = 48

Divide both sides by 12:

x = 48/12

x = 4

Explanation

To solve for x, we need to isolate x on one side of the equation.

3x + 2 = 11

Subtract 2 from both sides:

3x = 11 - 2

3x = 9

Divide both sides by 3:

x = 9/3

x = 3

So, the correct answer is: 3

Explanation

The correct passive form is "The room has been cleaned."

Because it shifts focus to the object, and the present perfect tense is maintained in the passive voice.

Explanation

Since the area of the rectangle is 50 cm² and the length is 10 cm, we can use the formula:

Area = Length × Width

Substitute the values:

50 = 10 × Width

Divide both sides by 10:

Width = 50/10

Width = 5

So, the width is 5 cm.

Explanation

She has been playing the piano since she was five years old.

وہ پانچ سال کی عمر سے پیانو بجا رہی ہے۔

The correct answer is "Has been" because the sentence uses the present perfect continuous tense.

It indicates an action that started in the past and continues up to the present.

In this case, the action of playing the piano started when she was five and continues now.