Please explain the answers.

On January 1, 20X2, Pint Corporation acquired 80 percent of Size Corporation for $200,000 cash. Size reported net income of $25,000 each year and dividends of $5,000 each year for 20X2, 20X3, and 20X4. On January 1, 20X2, Size reported common stock outstanding of $160,000 and retained earnings of $40,000, and the fair value of the noncontrolling interest was $50,000. It held land with a book value of $90,000 and a market value of $100,000, and equipment with a book value of $40,000 and a market value of $48,000 at the date of combination. The remainder of the differential at acquisition was attributable to an increase in the value of patents, which had a remaining useful life of eight years. All depreciable assets held by Size at the date of acquisition had a remaining economic life of eight years. Pint uses the equity method in accounting for its investment in Size.

Based on the preceding information, the increase in the fair value of patents held by Size is

$18,000

$10,000

$32,000

$50,000

On December 31, 20X8, Peak Corporation acquired 80 percent of Summit Company's common stock for $160,000. At that date, the fair value of the noncontrolling interest was $40,000. Of the $75,000 differential, $10,000 related to the increased value of Summit's inventory, $20,000 related to the increased value of its land, and $25,000 related to the increased value of its equipment that had a remaining life of 10 years from the date of combination. Summit sold all inventory it held at the end of 20X8 during 20X9. The land to which the differential related was also sold during 20X9 for a large gain. At the date of combination, Summit reported retained earnings of $75,000 and common stock outstanding of $50,000. In 20X9, Summit reported net income of $60,000, but paid no dividends. Peak accounts for its investment in Summit using the equity method.

Based on the preceding information, the amount of goodwill reported in the consolidated financial statements prepared immediately after the combination is:

$26,000

$20,000

$32,500

$0

On December 31, 20X5, Paris Corporation acquired 60 percent of Sanlo Company's common stock for $180,000. At that date, the fair value of the noncontrolling interest was $120,000. Of the $45,000 differential, $5,000 related to the increased value of Sanlo's inventory, $15,000 related to the increased value of its land, and $10,000 related to the increased value of its equipment that had a remaining life of five years from the date of combination. Sanlo sold all inventory it held at the end of 20X5 during 20X6. The land to which the differential related was also sold during 20X6 for a large gain. In 20X6, Sanlo reported net income of $40,000 but paid no dividends. Paris accounts for its investment in Sanlo using the equity method.

Based on the preceding information, the amount of goodwill reported in the consolidated financial statements prepared immediately after the combination is:

$15,000

$9,000

$45,000

$27,000