Izz-un-Nissa
Izz-un-Nissa Begum (Arabic) was the third wife of the Mughal emperor Shah Jahan.
She is popularly known by the title, Akbarabadi Mahal (which probably indicates that she hailed from the city of Akbarabad), and commissioned the Akbarabadi Mosque in Shahjahanabad (present-day Old Delhi).Less commonly, she is also referred to as "Sirhindi Begum"
Bakht-un-Nissa Begum
Bakht- un- Nissa Begum( 1547- 2 June 1608), meaning" Fortunate among Women", was a Mughal princess, the daughter of Mughal emperor Humayun.
Aurangzeb
Muhi-ud-Din Muhammad (3 November 16183 March 1707), commonly known by the sobriquet Aurangzeb (Persian: "Ornament of the Throne") or by his regnal title Alamgir (Persian: "Conqueror of the World"), was the sixth Mughal emperor, who ruled over almost the entire Indian subcontinent for a period of 49 years.
Widely considered to be the last effective ruler of the Mughal Empire, Aurangzeb compiled the Fatawa-e-Alamgiri, and was among the few monarchs to have fully established Sharia law and Islamic economics throughout the Indian subcontinent.
He was an accomplished military leader whose rule has been the subject of praise, though he has also been described as the most controversial ruler in Indian history.
He was a notable expansionist; during his reign, the Mughal Empire reached its greatest extent, ruling over nearly all of the Indian subcontinent.
During his lifetime, victories in the south expanded the Mughal Empire to 4 million square kilometres, and he ruled over a population estimated to be over 158 million subjects, with an annual revenue of $450 million (more than ten times that of his contemporary Louis XIV of France), or £38,624,680 (2,879,469,894 rupees) in 1690.
Under his reign, India surpassed Qing China to become the world's largest economy and biggest manufacturing power, worth nearly a quarter of global GDP and more than the entirety of Western Europe, and its largest and wealthiest subdivision, the Bengal Subah, signaled the proto-industrialization.
Aurangzeb was noted for his religious piety; he memorized the entire Quran, studied hadiths and stringently observed the rituals of Islam.
Unlike his predecessors, including his father Shah Jahan, Aurangzeb considered the royal treasury to be held in trust for the citizens of his empire.
He did not enjoy a luxurious life and his personal expenses and constructions of small mosques were covered by his own earnings, which included the sewing of caps and trade of his written copies of the Quran.
He also patronized works of Islamic and Arabic calligraphy.
Aurangzeb has been subject to criticism.
Critics argue that his policies abandoned his predecessors' legacy of pluralism and religious tolerance, citing his introduction of the "jizya" tax and other policies based on Islamic ethics, demolition of Hindu temples, the executions of his elder brother Dara Shikoh, Maratha king Sambhaji and the ninth Sikh guru Tegh Bahadur, and the prohibition and supervision of behaviour and activities that are forbidden in Islam such as music, gambling, fornication, and consumption of alcohol and narcotic.
Various historians question the historicity of the claims of his critics, arguing that his destruction of temples has been exaggerated, and noting that he also built temples, paid for their maintenance, employed significantly more Hindus in his imperial bureaucracy than his predecessors did, and opposed bigotry against Hindus and Shia Muslims.
Iffat-un-Nissa Begum
Iffat- un- Nissa Begum meaning' Modest among Women' was a Mughal princess, the daughter of Prince Dawar Bakhsh, the great grandson of Emperor Shah Jahan.
Mihr-un-Nissa Begum
Mihr- un- Nissa Begum( Persian: مهرالنس ا بیگم; 28 September 1661 – 2 April 1706), meaning" Sun among women", was a Mughal princess, the fifth daughter of Mughal Emperor Aurangzeb and his consort Aurangabadi Mahal.
Nur-un-Nissa Begum (wife of Jahangir)
Nur -un- Nissa Begum( born 1570) meaning' Light among Women', was a Timurid princess, the daughter of Ibrahim Husain Mirza.
She was empress consort of the Mughal Empire as the wife of fourth Mughal emperor Jahangir.
Badr-un-Nissa Begum
Badr-un-Nissa Begum (meaning "Full moon among women"; 17 November 1647 – 9 April 1670) was a Mughal princess, the only daughter of Mughal Emperor Aurangzeb, and his secondary wife Nawab Bai.
Shakr-un-Nissa Begum
Shakr- un- Nissa Begum( died 1 January 1653) was a Mughal princess, the daughter of Emperor Akbar.
Mihr-un-nissa Begum
Mihr- un- nissa Begum( born 1605) also known as Ladli Begum was the daughter of Nur Jahan, wife of Jahangir.
Kaya Alp
Kaya Alp was, according to Ottoman tradition, the son of Kızıl Buğa and the father of Suleyman Shah, who was, in turn, the grandfather of Ertuğrul, and the great grandfather of the Ottoman Empire founder, Osman I.

Question: Who is the paternal grandfather of Badr-Un-Nissa Begum?
Answer: Shah Jahan