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 2007-14-01-00-00_files/i0250000.jpg Tel Aviv 2007-14-01-00-00_files/i0250001.jpg Ra’anana 2007-14-01-00-00_files/i0250002.jpg Holon 2007-14-01-00-00_files/i0250003.jpg Jerusalem

II. Jerusalem 2007-14-01-00-00_files/i0250004.jpg Holon 2007-14-01-00-00_files/i0250005.jpg Tel Aviv 2007-14-01-00-00_files/i0250006.jpg Ra’anana 2007-14-01-00-00_files/i0250007.jpg Jerusalem

III. Jerusalem 2007-14-01-00-00_files/i0250008.jpg Ra’anana 2007-14-01-00-00_files/i0250009.jpg Tel Aviv 2007-14-01-00-00_files/i0250010.jpg Holon 2007-14-01-00-00_files/i0250011.jpg Jerusalem

a.

II only

b.

I and II

c.

I and III

d.

None of these are possible.

Verified Answer :

The answer is b. I and II

Cost (NIS)
Jerusalem to Tel Aviv: J-TA = 269
Jerusalem to Holon: J-H = 201
Jerusalem to Ra’anana: J-R = 281
Tel Aviv to Jerusalem: TA-J = 235
Tel Aviv to Holon: TA-H = 263
Tel Aviv to Ra’anana: TA-R = 203
Holon to Jerusalem: H-J = 150
Holon to Tel Aviv: H-TA = 198
Holon to Ra’anana: H-R = 290
Ra’anana to Jerusalem: R-J = 176
Ra’anana to Tel Aviv: R-TA = 234
Ra’anana to Holon: R-H = 218

Options: 
I. Jerusalem - Tel Aviv - Ra’anana - Holon - Jerusalem
J-TA + TA-R + R-H + H-J = 269 + 203 + 218 + 150 = 840
840 < 900

II. Jerusalem - Holon - Tel Aviv - Ra’anana - Jerusalem
J-H + H-TA + TA-R + R-J = 201 + 198 + 203 + 176 = 778
778 < 900

III. Jerusalem - Ra’anana - Tel Aviv - Holon - Jerusalem
J-R + R-TA + TA-H + H-J = 281 + 234 + 263 + 150 = 928
928 > 900

Hence, options I and II are possible.

Answer:

B is the answer to this question