Logic Problem Solution:
IPO Mania
By clue 1, the IPO per share prices ranged from $10-30, with no two
investors paying the same amount per share. In clues 2 and 6, if
Kevin had bought the OmniPsi stock, Jeff would have had to pay at
least $40 per share, given that the internet stock cost the low of
$10; and if Jeff had bought the internet firm's IPO, Kevin would
have paid at least $40 per share--both cases contradicting the high
of $30 (1). Therefore, four different investors are named between
clues 2 and 6: Jeff, the one who bought OmniPsi, Kevin, and the
investor in the internet sector. By clue 4, if Ian had purchased
either the OmniPsi or the internet shares, he would have paid at
least $25 per share, and either Jeff (2) or Kevin (6) would have
paid at least $50--no (1). So, Ian is the fifth investor. If Legg
were Jeff, by clues 2 and 4, Ian's IPO would have cost at least $35;
and if Legg were Kevin, by clues 6 and 4, Ian's stock would have
been at least $35. So Legg bought either OmniPsi or the internet
IPO--by clue 9, the internet shares. By clues 2,4, and 6, either
the OmniPsi IPO or Legg's shares cost the low of $10. If the OmniPsi
shares had cost $10, Jeff's would have been $20. If Ian then had
paid the most, $30, and Legg $15 (clue 4), Kevin also would have paid
$30 per share (6), contradicting clue 1. If Kevin had paid the most,
$30, and Legg then $15 (6), Ian also would have paid $30 (4), no (1).
So, the OmniPsi stock didn't start at $10; Legg's internet sector
purchase did. Ian paid $25 per share (4), and Kevin's stock cost
him $20 per share (6). Then Jeff invested $30 (1) and the OmniPsi
shares cost $15 (2) per share. By clue 8, Jeff bought Clarion Call,
and OmniPsi is a marketing firm. By clue 5, Jeff didn't buy the
software stock, nor did Ian (10). Kevin bought the software firm's
IPO, and Ian is Paine (5). Clarion Call is a telecom concern (12),
and Ian got into the biotech. Maura bought the internet IPO (3),
and Leah got into marketing. Jeff's surname is Witter (7). Mercury
Servo wasn't bought by Ian and isn't a software company (11); it is
an internet firm. Kevin bought SW/Global (13) and Ian Relevant
Research. Kevin is Schwab (14) and Leah Merrill. The five investors
therefore bought into IPO Mania as follows:
- Jeff Witter, Clarion Call, telecom, $30
- Ian Paine, Relevant Research, biotech, $25
- Kevin Schwab, SW/Global, software, $20
- Leah Merrill, OmniPsi, marketing, $15
- Maura Legg, Mercury Servo, internet, $10
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