PPSC Past Papers & Solved MCQs

Liaquat Ali Khan, Pakistan's first Finance Minister, presented the "poor man's budget" in 1947, focusing on economic policies beneficial for the common populace.

Qazi Muhammad Esa was a prominent politician and leader from Balochistan, playing a significant role in the Pakistan Movement. He was instrumental in advocating for the region's inclusion in Pakistan. Options A, B, and D are incorrect as he was specifically associated with Balochistan's political landscape.

Shah Wali Ullah, an 18th-century Islamic scholar, attributed the decline of the Mughal Empire to its deviation from Islamic principles and moral values.

Hermann Hesse, a renowned German-Swiss poet and novelist, authored "Siddhartha," a philosophical novel exploring a young man's spiritual journey.

The point (0, 6) lies on the line because it satisfies the equation y = (1/3)x + 6, derived from the given two points.

Each human kidney contains approximately 1 million nephrons. Nephrons are the microscopic structural and functional units responsible for filtering blood and forming urine. Options like 0.5, 10, or 5 million are incorrect counts for the total number of nephrons.

The correct answer is 8 years. We can find Ali's present age by setting up an equation based on the given condition about the reciprocals of his past and future ages.

Step-by-Step Solution

Let Ali's present age be x years.

• His age 2 years ago was: x − 2
• His age 4 years from now will be: x + 4

The sum of the reciprocals of these two ages is given as 1/4:

1/(x − 2) + 1/(x + 4) = 1/4

To solve, we find a common denominator:

• (x + 4) + (x − 2) over (x − 2)(x + 4) = 1/4
• (2x + 2) / ((x − 2)(x + 4)) = 1/4

Cross‑multiply:

• 4(2x + 2) = (x − 2)(x + 4)
• 8x + 8 = x² + 2x − 8
• Bring all terms to one side: 0 = x² − 6x − 16

Factor the quadratic:

• x² − 6x − 16 = (x − 8)(x + 2) = 0
• So x = 8 or x = −2

Since age cannot be negative, Ali's present age is 8 years.

Verification

Check the condition with x = 8:

• Age 2 years ago = 6; reciprocal = 1/6
• Age 4 years from now = 12; reciprocal = 1/12
• Sum = 1/6 + 1/12 = (2 + 1)/12 = 3/12 = 1/4 ✔

Why Other Options Are Incorrect

• 6 years: Past age = 4, future = 10; sum of reciprocals = 1/4 + 1/10 = 0.35, not 0.25.
• 10 years: Past = 8, future = 14; sum = 1/8 + 1/14 ≈ 0.196, not 0.25.
• 12 years: Past = 10, future = 16; sum = 1/10 + 1/16 = 0.1625, not 0.25.

Therefore, the only age that satisfies the equation is 8 years, making it the correct answer.

Among the options, Pfizer-BioNTech is one of the most widely recognized and internationally approved COVID-19 vaccines. It has received extensive regulatory approvals and global distribution. While Moderna is also recognized, Pfizer holds a broader international presence and recognition.

The correct answer is 25. The sequence 20, 25, 30, ..., 140 forms an arithmetic progression (AP) with the following parameters:

• First term (a) = 20
• Common difference (d) = 5
• Last term (Tₙ) = 140

We use the formula for the nth term of an AP: Tₙ = a + (n − 1)d

Substituting the values: 140 = 20 + (n − 1) × 5

• 140 − 20 = (n − 1) × 5
• 120 = (n − 1) × 5
• 120 ÷ 5 = n − 1
• 24 = n − 1
• n = 25

Options 22, 23, and 24 do not satisfy the formula, so the correct answer is 25.

The correct answer is Quaid-e-Azam Muhammad Ali Jinnah. He became the first President (President of the Assembly) of Pakistan's Constituent Assembly on 11 August 1947. After his death in 1948, Maulvi Tamizuddin Khan was elected President (Speaker) of the Assembly.

Why the Other Options Are Incorrect

• Molvi Tamiz-ud-Din: Became President of the Assembly after Jinnah's death.
• Liaquat Ali Khan: First Prime Minister of Pakistan.
• Khawaja Nazimuddin: Served as Governor-General and later Prime Minister.

Therefore, Quaid-e-Azam Muhammad Ali Jinnah is the correct answer.

The third Prime Minister of Pakistan was Muhammad Ali Bogra.He assumed office on April 17, 1953, and served until August 11, 1955. A prominent diplomat from East Pakistan (now Bangladesh), he is best remembered for introducing the constitutional proposal known as the "Bogra Formula" to resolve political representation between East and West Pakistan.

The Constitution of 1962, promulgated by Ayub Khan, established a Presidential form of government in Pakistan. This system concentrated significant power in the office of the President, differing fundamentally from a parliamentary structure. It was designed to provide stability and strong leadership, rather than a purely unitary or federal system.

General Pervez Musharraf seized power in a military coup in 1999 and subsequently appointed himself President of Pakistan. This act marked a significant period of military rule. While Ayub Khan and Yahya Khan were also military rulers, Musharraf is the most recent example of an army chief directly appointing himself to the presidency. Aslam Beg did not.