Whose name is this? - Page 26

That is a translation, and this is the original (Ādiparvan 90.54):

Vicitravīryaḥ khalu Kausaly'ātmajE'mbikĀ'mbālike Kāśi-rāja-duhitarāv upayeme

It is not possible to differentiate Kausaly'ātmaje = Kausalya + ātmaje (Kausalya is the father's name) from Kausalyā + ātmaje (Kausalyā is the mother's name). Some readers may reason that ātmaje = duhitarau, and everyone has two parents, so ... if Kāśi-rāja-duhitarāv identifies the father, Kausaly'ātmaje must identify the mother; otherwise, the two words are redundant. However, this statement is part of a genealogy in which each king's wife/mother is identified by either her father's name or her country name - never her mother's name. Sunandā, the wife of Bharata is identified as both a woman of Kāśi and the daughter of Sarvasena (Ādiparvan 90.34):

Bharataḥ khalu Kāśeyīm upayeme Sārvasenīṃ Sunandāṃ nāma

So, here, Kausalya is the father's name (from his country of origin) and Kāśi-rāja identifies him as also the king of Kāśi.

In the story of Nala and Damayantī, one of Rāma's ancestors is called Kausalya. Who is it?

King Rituparna

One of the warriors in the Mahābhārata war is often called Kausalya. Who is it?

Brihadbala

Correct!

79. Whose name was Saindhava?

Correct! Jayadratha the king of Sindhu is often indicated as Saindhava.

80. Whose name was Prāgjyotiṣa?

Correct! Bhagadatta was known by the name of his city.

81. What was the personal name of the character known as Jāmadagnya?

Rama as in Parshurama.

Correct!

82. What are the personal names of the characters called Mādhava?

Krishna, Balarama, Yuyudhana

Correct! Kṛtavarman is also Mādhava at Droṇaparvan 140.27, 140.35, Śalyaparvan 20.24. And Kṛṣṇa addresses his father Vasudeva as Mādhava at Āśvamedhikaparvan 60.41, Mausalaparvan 7.15.

83. Who was known as Drauṇāyani?

Correct! Drauṇāyani = Drauṇi, son of Droṇa.

84. Who was called Prātipīya?