Two traders: Chetan and Michael

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(CAT 2006)

Two traders, Chetan and Michael, were involved in the buying and selling of MCS shares over five trading days. At the beginning of the first day, the MCS share was priced at Rs 100, while at the end of the fifth day it was priced at Rs 110. At the end of each day, the MCS share price either went up by Rs 10, or else, it came down by Rs 10. Both Chetan and Michael took buying and selling decisions at the end of each trading day. The beginning price of MCS share on a given day was the same as the ending price of the previous day. Chetan and Michael started with the same number of shares and amount of cash, and had enough of both. Below are some additional facts about how Chetan and Michael traded over the five trading days.
1)  Each day if the price went up, Chetan sold 10 shares of MCS at the closing price. On the other hand, each day if the price went down, he bought 10 shares at the closing price.
2)  If on any day, the closing price was above Rs 110, then Michael sold 10 shares of MCS, while if it was below Rs 90, he bought 10 shares, all at the closing price.

1. If Chetan sold 10 shares of MCS on three consecutive days, while Michael sold 10 shares only once during the five days, what was the price of MCS at the end of day 3?
a. Rs 90
b. Rs 100
c. Rs 110
d. Rs 120
e. Rs 130

2. If Chetan ended up with Rs 1300 more cash than Michael at the end of day 5, what was the price of
MCS share at the end of day 4?
a. Rs 90
b. Rs 100
c. Rs 110
d. Rs 120
e. Not uniquely determinable

3. If Michael ended up with 20 more shares than Chetan at the end of day 5, what was the price of the share at the end of day 3?
a. Rs 90
b. Rs 100
c. Rs 110
d. Rs 120
e. Rs 130

4. If Michael ended up with Rs 100 less cash than Chetan at the end of day 5, what was the difference in the number of shares possessed by Michael and Chetan (at the end of day 5)?
a. Michael had 10 less shares than Chetan.
b. Michael had 10 more shares than Chetan.
c. Chetan had 10 more shares than Michael,
d. Chetan had 20 more shares than Michael.
e. Both had the same number of shares.

5. What could have been the maximum possible increase in combined cash balance of Chetan and Michael at the end of the fifth day?
a. Rs 3700
b. Rs 4000
c. Rs 4700
d. Rs 5000
e. Rs 6000


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