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?
15
40
50
55
70
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