Blueberry Weight Puzzle Analysis
Problem Setup:
- Four baskets (A, B, C, D) contain blueberries.
- Normal berries weigh 5g each.
- Rotten berries weigh 3g each.
- Huma samples berries: 1 from A, 2 from B, 3 from C, 4 from D.
- The total weight of sampled berries is 44g.
- The objective is to identify the basket containing the rotten berries.
Calculating Rotten Berries
Step 1: Calculate Expected Weight (All Normal Berries)
- If all berries were normal (5g):
- Basket A: $1 \times 5g = 5g$
- Basket B: $2 \times 5g = 10g$
- Basket C: $3 \times 5g = 15g$
- Basket D: $4 \times 5g = 20g$
- Total expected weight = $5g + 10g + 15g + 20g = 50g$.
Step 2: Determine Total Weight Difference
- The difference between the expected weight and the actual measured weight reveals the impact of the rotten berries.
- Total weight difference = Expected weight - Actual weight
- Total weight difference = $50g - 44g = 6g$.
Step 3: Calculate Weight Difference per Rotten Berry
- Each rotten berry weighs less than a normal berry.
- Weight difference per berry = Normal berry weight - Rotten berry weight
- Weight difference per berry = $5g - 3g = 2g$.
Step 4: Find the Number of Rotten Berries
- Divide the total weight difference by the weight difference per berry.
- Number of rotten berries = Total weight difference / Weight difference per berry
- Number of rotten berries = $6g / 2g = 3$.
Identifying the Rotten Berry Basket
Step 5: Match Rotten Berries to Basket Sample Size
- Huma took 1 berry from Basket A, 2 from B, 3 from C, and 4 from D.
- Since we calculated that there are 3 rotten berries, and Huma took exactly 3 berries from Basket C, this implies Basket C contains the rotten berries.
Final Answer Derivation:
The calculation shows 3 rotten berries. Huma took 3 berries from Basket C. Therefore, Basket C is the one with rotten berries.
Similar Questions
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Important Questions from Problem Solving
Six numbers, 7, 8, 9, 10, 11 and 12 are written on different faces of a dice. Three positions of this dice are shown here. Find the number on the face opposite 12.
Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(84, 73, 157) (96, 88, 184)
Rahul invests his savings, which is Rs. 25,000 in his bank that pays 7 per cent annual interest. How much will he earn by way of interest in one year?
Which two signs need to be interchanged to make the following equation correct? 5 × 4 + 12 - 3 ÷ 6 = 18
In a company there are 3 departments - IT, HR and Help Desk. In the IT department there are 125 employees and in the HR department the number of employees is 1/5th of IT. The helpdesk department has 20 employees less than total employees in IT and HR together. What is the total number of employees working in all three departments?
