A certain mobile-phone video game consists of four puzzles, which players can attempt in any order. No puzzle is part...
GMAT Multi Source Reasoning : (MSR) Questions
A certain mobile-phone video game consists of four puzzles, which players can attempt in any order. No puzzle is part of another. The puzzles, from easiest to most difficult, are:
- Forest
- Desert
- Mountain
- Ocean
The puzzles require players to use items of various types. The player begins the game with exactly 3 items, one of each of the following types:
- Compass
- Bottle
- Rope
Each of a player's items can be either used once in solving a puzzle or exchanged once for coins—the in-game currency—but not both. Coins are used to purchase items. The player begins the game with 0 coins.
Suppose that the game's designer added to the game a fifth puzzle—the Cave puzzle that requires players to use 1 Lantern and 4 additional items of any type. Assuming that nothing else has changed, which one of the following is the minimum number of coins a player who currently has no items would have to spend to purchase all of the items necessary to solve the Cave puzzle?
Owning the Dataset
Understanding Source A: Text - Game Elements
Information from Dataset | Analysis |
---|---|
""A certain mobile-phone video game consists of four puzzles, which players can attempt in any order. No puzzle is part of another."" |
|
""The puzzles, from easiest to most difficult, are: Forest, Desert, Mountain, Ocean"" |
|
""The player begins the game with exactly 3 items, one of each of the following types: Compass, Bottle, Rope"" |
|
""Each of a player's items can be either used once in solving a puzzle or exchanged once for coins—the in-game currency—but not both."" |
|
""Coins are used to purchase items. The player begins the game with 0 coins."" |
|
- Summary: This game features 4 independent puzzles of increasing difficulty, where players start with 3 specific items and must strategically decide whether to use items for puzzles or exchange them for coins.
Understanding Source B: Table - Puzzle Details
- Table Analysis:
- The table shows puzzle requirements and rewards for all four puzzles
- Key patterns observed:
- Forest requires only Compass with 0 additional items (simplest)
- Desert and Mountain each require their specific item plus 1 additional item
- Ocean requires a Boat plus 3 additional items (most complex)
- Key Findings:
- Difficulty correlates with both resource needs and coin rewards
- Ocean puzzle requires a non-starting item type (Boat)
- The three starting items (Compass, Bottle, Rope) exactly match the required items for the first three puzzles
- Puzzle rewards (20-50 coins) provide the coin generation method mentioned in Source A
- Summary: Each puzzle requires specific items matching the starting inventory for the first three, while Ocean puzzle requires players to acquire a new item type (Boat), forcing engagement with the coin economy.
Understanding Source C: Table - Item Values
- Table Analysis:
- The table displays purchase prices and exchange values for 8 item types
- Key patterns observed:
- Items are tiered: Clock/Mirror (10/5), Compass/Lantern (15/10), Rope/Battery/Bottle (20/15), Boat (30/20)
- All items retain 50-75% of purchase value when exchanged
- Boat is the most expensive item at 30 coins
- Key Findings:
- Three starting items (Compass, Bottle, Rope) fall across different pricing tiers
- Starting items have exchange values of 10 (Compass) and 15 each (Bottle, Rope), totaling 40 coins if all exchanged
- Boat purchase price (30 coins) can be covered by exchanging all starting items, but leaves little for additional items needed
- Summary: The item economy shows tiered pricing where starting items could generate 40 coins if exchanged, just enough to purchase the Boat needed for Ocean puzzle but forcing difficult trade-offs.
Overall Summary
- The game creates a resource management challenge where players start with exactly the items needed for the first three puzzles but must generate coins to attempt the Ocean puzzle
- Since players begin with 0 coins and need 30 coins to purchase the required Boat, they must either exchange starting items (worth 40 coins total) or complete puzzles (earning 20-50 coins each)
- This forces strategic decisions from the beginning: using items directly for puzzles provides coin rewards but consumes the items, while exchanging items provides immediate coins but sacrifices puzzle-solving resources
Problem Analysis
Question Analysis
- In plain terms: What is the minimum number of coins needed to buy 1 Lantern plus 4 additional items (of any type) starting with no items and no coins?
- Key constraints:
- Must buy exactly 1 Lantern (mandatory item)
- Must buy 4 additional items of any type
- Player starts with zero items and zero coins
- Find the minimal total coin cost to fulfill puzzle requirements
- Answer type needed: Numerical value representing minimum total coins required
Connecting to Our Passage Analysis
- Analyze item costs from the provided information and calculate the minimum sum for 1 Lantern plus 4 cheapest additional items
- Can answer from analysis alone: YES - all item prices are provided enabling direct computation
Solution Analysis
Extracting Relevant Findings
- The Lantern costs 15 coins
- The cheapest other items are Clock and Mirror, each costing 10 coins
- The total minimal cost is 15 + 4 × 10 = 55 coins
- Lantern price: 15 coins; cheapest additional items: 10 coins each
- Minimum total cost = 15 + 40 = 55 coins (Lantern + 4 × 10 cheapest items)
Statement Evaluations
Statement 1 Analysis
""15""
- Statement: Check if only buying 1 Lantern for 15 coins is enough
- Cost: 15 coins
- Expected: 55 coins
- Difference: -40
- INCORRECT - Does not cover the required 4 additional items
Statement 2 Analysis
""40""
- Statement: Check if buying 4 cheapest items for 40 coins is enough without Lantern
- Cost: 40 coins
- Expected: 55 coins
- Difference: -15
- INCORRECT - Lantern is missing
Statement 3 Analysis
""50""
- Verify each option against puzzle requirements and costs:
- Option 50 coins: insufficient by 5 coins for Lantern plus 4 items
- INCORRECT
Statement 4 Analysis
""55""
- Statement: Check if buying 1 Lantern plus 4 cheapest items for total 55 coins is sufficient
- Cost: 55 coins
- Expected: 55 coins
- Difference: 0
- CORRECT - Exactly meets requirements
Statement 5 Analysis
""70""
- Option 70 coins: more than required, not minimal
- INCORRECT
Systematic Checking
- Verify each option against puzzle requirements and costs:
- Option 15 coins: buys Lantern only, missing 4 items
- Option 40 coins: buys 4 items only, missing Lantern
- Option 50 coins: insufficient by 5 coins for Lantern plus 4 items
- Option 55 coins: exactly sufficient for Lantern and 4 cheapest items
- Option 70 coins: more than required, not minimal
Answer
55
15
40
50
55
70