Explanation

• Public funds are generally spent by federal, Provincial, and Local Bodies governments.
• These public sector institutions manage budgets collected from taxes and public revenues to provide goods, services, and infrastructure for citizens.

Explanation

• Pakistan's civil service is shaped by its colonial legacy and heavy political interference/patronage.
• It was originally built on British India's centralized structures.
• Since the 1970s, political pressure has replaced merit in postings, promotions, and operations.

Explanation

• Opportunities and threats are primarily identified through External Environmental Analysis.
• External Analysis: Studies external factors such as the market, the economy, competitors, and industry trends.
• Opportunities: External factors that help a business grow.
• Threats: External factors that may harm the business.

(Note: Strengths and weaknesses are found through Internal Environmental Analysis*, which looks inside the company).

Explanation

• Public administration education and training in Pakistan have been primarily influenced by:
• the British colonial administrative framework
• the American public administration model
• Introduced during the 1950s and 1960s.

Explanation

Given:

• Dividend (D₀) = Rs. 4
• Market Price (P₀) = Rs. 100
• Growth rate (g) = 5%

Step 1: Calculate next year’s dividend

D₁ = D₀ × (1 + g)
= 4 × 1.05
= Rs. 4.20

Step 2: Use the Gordon Growth Model

Required Return:

Ke​=D1/P0​​​+g 

Ke​=4.20/100 ​+0.05

Ke​=0.042+0.05=0.092

Ke​=9.2%≈9%

Explanation

For an ordinary annuity:

PV=PMT×1−(1+r)−n/r​

PMT = Rs. 4,000

r = 8% = 0.08

n = 20 years

PV ≈ Rs. 39,727

Explanation

• When a bond sells for more than its par value, it is trading at a premium.
• This occurs because the bond's fixed interest payments (the coupon rate) are higher than the current market interest rate (the yield to maturity, or YTM).
• Investors are willing to pay extra upfront for those larger interest payouts.
• Consequently, the total expected return over the life of the bond (YTM) drops below the stated coupon rate.

Explanation

• Sindh is known as Bab-ul-Islam 
•  Bab-ul-Islam  means the gateway of Islam
• Describe as having seen the first spread of Islam into South Asia.
  

Additional information

• Sindh is the third-largest province of Pakistan by land area
  
• Second-largest province by population after Punjab
• Sindhi language is the oldest
• It has 30 Districts and 7 districts
• There are three Barrages in Sindh
• The mountain range located in Sindh is the Kirthar Range

Last updated by NA on 16-07-2026

Explanation

• Free vortex — rotation driven by gravity, no external energy input, velocity increases toward the center
• Example of a free vortex: water swirling down a drain

Additional information 

• Forced vortex — rotation driven by an external force (like a rotating impeller), velocity increases with radius

Explanation

• By the middle-third rule, the resultant must fall within the middle third of the base
• Max allowable eccentricity e=B/6 to avoid tension
• Keeps entire foundation in compression

Additional information 

• B/4: This would allow tension over part of the base.