Question

While staying in Jerusalem, Israel, you decide to visit three other cities: Tel Aviv, Holon, and Ra’anana. The following table shows the costs associated with traveling to and from each city, with all costs listed in Israeli new shekalim (NIS).
Origin and Destination
Cost (NIS)
Jerusalem to Tel Aviv
269
Jerusalem to Holon
201
Jerusalem to Ra’anana
281
Tel Aviv to Jerusalem
235
Tel Aviv to Holon
263
Tel Aviv to Ra’anana
203
Holon to Jerusalem
150
Holon to Tel Aviv
198
Holon to Ra’anana
290
Ra’anana to Jerusalem
176
Ra’anana to Tel Aviv
234
Ra’anana to Holon
218

You can choose to visit these cities in any order, but you will start and end your trip in Jerusalem. If you have a budget of NIS 900, which of the following routes are possible?
I. Jerusalem Right arrow. Tel Aviv Right arrow. Ra’anana Right arrow. Holon Right arrow. Jerusalem
II. Jerusalem 2007-14-01-00-00_files/i0250004.jpg Holon Right arrow. Tel Aviv Right arrow. Ra’anana 2007-14-01-00-00_files/i0250007.jpg Jerusalem
III. Jerusalem Right arrow. Ra’anana Right arrow. Tel Aviv Right arrow. Holon Right arrow. Jerusalem
a.
II only
b.
I and II
c.
I and III
d.
None of these are possible.



Please select the best answer from the choices provided


A
B
C
D

Answer 1

Compute each route's total cost (NIS):

I. J → T → R → H → J = 269 + 203 + 218 + 150 = 840 (≤ 900) — possible
II. J → H → T → R → J = 201 + 198 + 203 + 176 = 778 (≤ 900) — possible
III. J → R → T → H → J = 281 + 234 + 263 + 150 = 928 (> 900) — not possible

So routes I and II are possible. Answer: B.