Explanation

Step 1: Convert to Inches

Since 1 foot = 12 inches, we first convert both measurements to inches:

• 9 feet 6 inches = $9 times 12 + 6 = 108 + 6 = 114$ inches
• 7 feet 9 inches = $7\times 12+9=84+9=93$ inches

Step 2: Subtract

$$114\text{ inches}-93\text{ inches}=21\text{ inches}$$

Step 3: Convert Back to Feet and Inches

Since 21 inches is more than 1 foot (12 inches), we convert:

• 21 inches = 1 foot 9 inches (since $21 - 12 = 9$)

Explanation

Step 1: Use the Diagonal Formula for a Square

For a square with side length $s$, the diagonal $d$ is given by:

Substituting $d = 30$

$sqrt{2} approx 1.414$

Step 3: Calculate the Perimeter

The perimeter $P$ of a square is:

Explanation

Step 1: Define Variables

Let X be the total number of employees in the company.

Step 2: Express the Given Information in Terms of X

• Accounting department:1/10 X
• Sales department: 2​/5X
• Production department:1​/3X
  
• Marketing department: 20 employees (given)

Step 3: Form the Equation

Since the sum of all employees equals the total number $X$, we write:

1/1​0X+2​/5X+1​/3X+20=X

Step 4: Find the Least Common Denominator (LCD)

The denominators are 10, 5, and 3.
The LCD of 10, 5, and 3 is 30.

Rewriting each fraction:

1/1​0X=3./3​0X$$frac{2}{5}X = frac{12}{30}X$$1/3​X=10/30​X

Thus, the equation becomes:

3/3​0X+12​/30X+10​/30X+20=X $$frac{25}{30}X + 20 = X$$

Step 5: Solve for X

Rearrange the equation:

20=X−25​/30X
20=5/30​X $$20 = frac{1}{6}X$$

Multiply both sides by 6:

$$X = 120$$

Explanation

We are given:

• Each pill contains = 0.2 grams of medicine
• Total available medicine = 1 kilogram = 1000 grams

Step 1: Calculate the Number of Pills

Number of pills= Total medicine/Medicine per pill​

=1000/0.2​

=1000×10​/2=5000

Explanation

Step 1: Define Work Rates

• Danish can type 100 form letters in 6 hours, so his work rate is: $$frac{100}{6} = frac{50}{3} text{ letters per hour}$$
• Together, Danish and Muneeb complete 100 letters in 4 hours, so their combined work rate is: $$frac{100}{4} = 25 text{ letters per hour}$$

Step 2: Define Muneeb's Work Rate

• Let Muneeb's work rate be $m$ (letters per hour).
  $$50/3+m=25$$
• Solve for $m$:
  m=25−50/3​ $$m = frac{75}{3} - frac{50}{3} = frac{25}{3} text{ letters per hour}$$

Step 3: Time Taken by Muneeb Alone

• Muneeb alone needs to type 100 letters, so the time required is: $$frac{100}{frac{25}{3}} = 100 times frac{3}{25} = 12 text{ hours}$$

Explanation

By observing the pattern:

• 18 → 10 (subtract 8)
• 10 → 6 (subtract 4)
• 6 → 4 (subtract 2)
• 4 → 3 (subtract 1)
• 3 → ?

Following the pattern of halving the subtraction amount, the next step would be subtracting 0.5, giving:
3 - 0.5 = 2.5

Explanation

 A "virus" is a small computer program that interferes with the normal working of a computer. 

Explanation

The battery on a motherboard, often called a CMOS battery

CMOS battery:

Function: It powers the CMOS chip which stores critical system settings. 

What it stores: Date, time, boot sequence, hardware configurations, and sometimes passwords. 

What happens if it fails: If the battery dies, you will likely need to reset the BIOS settings when you turn on your computer, including setting the date and time again. 

Explanation

 For calculating monthly salary and other expenditures in an office, the most suitable software for the Account Department would be  Microsoft Excel. 

Explanation

 The symptoms of numbness, tingling, weakness, or burning sensation and painful movement of the arms or legs are most likely indicative of  Spinal Injuries. 

These symptoms are classic signs of nerve damage, which can occur due to a spinal cord injury affecting the nerves that transmit sensation to the arms and legs