Explanation

Let's use the quadratic formula to find the roots:

x = (-b ± √(b² - 4ac)) / 2a

For the given equation x² - 3x + k + 1 = 0:

a = 1, b = -3, c = k + 1

The roots differ by unity, so:

√(b² - 4ac) = 1

(-3)² - 4(1)(k + 1) = 1

9 - 4k - 4 = 1

5 - 4k = 1

-4k = -4

k = 1

Explanation

The Android operating system was initially developed by Android Inc. in 2003.

Later, in 2005, Google acquired Android Inc. and has continued to develop and maintain the Android OS

Explanation

1.      Conquest of (Roman Empire) Levant (634–638)

                          I.                  Muslim conquest of Syria

                        II.                  Muslim conquest of Armenia

2.      Conquest of (Roman Empire)  Egypt (640–642)

3.      Conquest of mainland Persia (642-644)

Explanation

In May 2024, Dr Helen Mary Roberts has been promoted to the rank of brigadier in the Pakistan Army Medical Corps.

Helen Mary Roberts  is the the first female brigadier to hail from the country’s Christian community.

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Explanation

Mark Carney is the current & 24th prime minister of Canada.

He was appointed in March 2025.

He belongs to Liberal Party.

He replaced Justin Trudeau, who resigned in Jan 2025.

Explanation

Monkeypox virus, a zoonotic orthodox DNA virus related to the virus that causes smallpox,

was first described in humans in 1970 in the Democratic Republic of Congo.

Mpox can spread from person to person or occasionally from animal to people

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Health officials have confirmed the first case of monkeypox (mpox) in Islamabad, Pakistan, as of April 21. 

ND17-7-2023

Explanation

SIFC: Special Investment Facilitation Council

Formation: 17th June, 2023

Founded by: Shahbaz Sharif

Headquarter: Islamabad

Purpose: Economic revival of Pakistan, attract Foreign Direct Investment

Explanation

In 27 B.C., Gaius Julius Caesar Octavianus was given the title Augustus by the Roman Senate.

This marked the official beginning of the Roman Empire.

Augustus ruled from 27 B.C. to 14 A.D.

Explanation

The correct answer is: He said that he would come and see me.

This option correctly changes the direct speech into indirect speech,

Explanation

2023 national census (released on 5 August 2023)

Growth rate: 2.55 per cent

Total Pakistan population: 241.49 million

Punjab: 127.68 million

Punjab growth rate: 2.53 percent

Sindh population: 55.69 million

Sindh growth rate: 2.57 percent

Balochistan population: 14.89 million

Balochistan growth rate: 3.2 percent (highest of all)

KPK population: 40.85 million

KPK growth rate: 2.38 percent

Pakistan rural population: 61.18 percent

Pakistan Urban population: 38.82 percent

33 million population increased between 2017 and 2023 

110 million population increased between 1998 and 2023 

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