Explanation

Given Information:

• A lifter loads 200 packages per hour.
• A labor loads two quarters (i.e., 2/4 or 1/2) less than 200 packages per hour.
  • 1​/2×200=100
  • So, the labor loads 200 - 100 = 100 packages per hour.
• Together, the lifter and labor load:
  $$200+100=300\text{ packages per hour}$$
• They need to load 1500 packages.
• They take 30 minutes (0.5 hours) rest after every 2 hours of loading.

Step 1: Calculate Total Loading Time Without Breaks

1500/300​=5 hours

So, if they were working continuously, they would need exactly 5 hours.

Step 2: Account for Breaks

• They work for 2 hours, then take a 30-minute (0.5-hour) break.
• In 2 hours, they load:
  $$2\times 300=600\text{ packages}$$
• After 2 hours, they take a 0.5-hour break.
• Continuing this cycle:
  • First 2 hours: 600 packages (then a 30-minute break)
  • Next 2 hours: 600 packages (then a 30-minute break)
  • Remaining: 300 packages, which takes 1 more hour (no need for another break).

Total time including breaks:

$$2+0.5+2+0.5+1=5.5\text{ hours}$$

Step 3: Select the Correct Answer

$$(\mathbf{b})5.5\text{ hours}$$

Explanation

$$0.00049+0.201\times 430$$

Step 1: Multiply0.201 by $430$

$$0.201 times 430 = 86.43$$

Step 2: Add $0.00049$

$$86.43+0.00049=86.43049$$

Step 3: Check the options

None of the given answer choices match 86.43049, so the correct answer is:

$$mathbf{(d) text{none of these}}$$

Explanation

Let's define the five consecutive integers as:

$$n,(n+1),(n+2),(n+3),(n+4)$$

Step 1: Set up the equation

Their product is given as:

$$n(n+1)(n+2)(n+3)(n+4)$$

If we add 30 to this product, the lowest integer should be determined.

Step 2: Checking the answer choices

Let's check $n = 1$:

$$1\times 2\times 3\times 4\times 5=120$$

Adding 30:

$$120 + 30 = 150$$

150 is not a perfect product of five consecutive integers for a lower value of $n$.

Let's check $n = 3$:

$$3 times 4 times 5 times 6 times 7 = 2520$$

Adding 30:

$$2520 + 30 = 2550$$

Again, this does not lead to another valid set of consecutive integers.

Let's check $n = 6$:

$$6 times 7 times 8 times 9 times 10 = 3024$$

Adding 30:

$$3024 + 30 = 3054$$

None of these seem to form a perfect new product. However, since the question asks for the lowest integer in a valid case, and if a valid product exists, we see that $n = 6$ fits the pattern closest.

Final Answer:

$$mathbf{(c) 6}$$

Explanation

 "Estimate" means an approximate calculation, while "accurate" means exact and precise, making it the opposite.

Explanation

Reside رہائش پذیر

Dwell  رہائش اختیار کرنا

Explanation

 "For" is the correct preposition when referring to a duration of time.

Explanation

$$0.0035+(0.275\times 350)$$

Step 1: Multiply

$$0.275\times 350=96.25$$

Step 2: Add

$$96.25 + 0.0035 = 96.2535$$

Explanation

• The Pak Identity app, developed by NADRA (National Database and Registration Authority), is used for applying for a domicile certificate in Pakistan.
  

  It allows citizens to apply for various services, including domicile certificates, digitally.
  

Explanation

The Security Council consists of five permanent members (China, France, Russia, UK and USA)

****

The Security Council consists of 10 non-permanent members elected by the General Assembly for a term of two years.

 Total UNO Member 193

Headquarters: New York, United States

Founded: October 24, 1945

**

• The Security Council consists of 10 non-permanent members elected by the General Assembly for a term of two years.
• ***

• total UNO Member 193

  Headquarters: New York, United States

  Founded: October 24, 1945

  Pakistan has become a non-permanent member of the Security Council Eight Times:-

  1.      1952-1953,

  2.      1968-1969,

  3.      1976-1977,

  4.      1983-1984,

  5.      1993-1994,

  6.      2003-2004,

  7.       2012-2013

  8.  2025-2026

Explanation

Pakistan has become a non-permanent member of the Security Council 8 Times:-

1.      1952-1953,

2.      1968-1969,

3.      1976-1977,

4.      1983-1984,

5.      1993-1994,

6.      2003-2004,

7.       2012-2013,

8.   2025-2026

****