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
- Read the given paragraph and answer the question.
There are five persons A, G, M, J and D. Every person has to select one item each from a box containing items numbered from 1 to 5. A and J selected items 5 and 2 respectively. G cannot select item 3, while M cannot select item 3 or 5.
Which item can G select? - Read the given information carefully and answer the question that follows.
- There are four persons: P, Q, R and S.
- One of them is a doctor and plays football and cricket.
- P and Q are teachers.
- P plays badminton.
- The lawyer and both the teachers are swimmers.
- One of them also plays tennis.
- S plays carrom and is a lawyer.
- All the four persons play two games each and follow one profession.
The rectangle represents a set of calculations that are common across all the given equations. Identify the calculations involved and solve the fourth equation on the same basis:
$7 \blacksquare 4 = 27/4$
$6 \blacksquare 1 = 5$
$4 \blacksquare 3 = 11/3$
$a \blacksquare b = ?$- Four girls, Radha, Neena, Mohita and Jyoti, are to be served in a sequence by a service provider. However, there are some limitations as follows: Mohita and Jyoti cannot be served one after the other; Neena cannot be served at the third number in sequence; and Radha and Neena are to be served one after the other. Considering the given information, which of the following statements is compulsorily true?
- In a school there were 6 teachers. A and B taught Hindi and English. D and A taught Mathematics and Science. C and E taught English and Mathematics. F and B taught Hindi and French. Who taught the maximum number of subjects?
- Five children A, B, C, D and E ate mangoes. A ate 8 mangoes less than B. C and E together ate 37 mangoes. D ate 8 mangoes more than C. B ate 5 mangoes more than C. B and A together ate 40 mangoes. Considering the above information, which of the following statements is correct?
- In a test paper, correct answers fetch three marks and there is a penalty of one mark for each wrong answer. A student who attempts 76 questions gets 144 marks. How many questions did the student get right?
- In a test series, South Africa defeated England twice, Bangladesh defeated South Africa twice, England defeated Bangladesh twice, South Africa defeated Pakistan twice and Bangladesh defeated Pakistan twice. Which country lost the highest number of times?
Important Questions from Problem Solving
A tight fitting band is wrapped around the Equator. Another circular band whose length is 15 m more lies at a certain height over the first band. A group of human beings attempt to pass under the longer band. Can they walk under it?
(Earth’s circumference is roughly 40000 km. The height of human beings is between 1 & 2m)
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)
- Arrange the problem-solving strategy.
(A) Generate many possible solutions
(B) Determine how to implement the solution and evaluate the success of the solution
(C) Make a decision
(D) Evaluate each solution
(E) Define the problem
Choose the correct answer from the options given below. - A cyclist starting from point $X$ travels straight towards east for 3km and then turns right and covers 4km and reaches point $Y$. What is the shortest distance between point $X$ and $Y$?
- Read the given paragraph and answer the question.
There are five persons A, G, M, J and D. Every person has to select one item each from a box containing items numbered from 1 to 5. A and J selected items 5 and 2 respectively. G cannot select item 3, while M cannot select item 3 or 5.
Which item can G select?
