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Three students (P, Q and R) received an equal number of toffees from their teacher. The teacher offered three different types of toffees Fruit Bite, Chocolate Crush and Milk Bar. R received 24 Milk Bar toffees. P received 10 Fruit Bite toffees. The total number of Milk Bar toffees divided by the teacher is equal to number of toffees received by each student. The number of Fruit Bite toffees received by Q is 6 more than the number of Chocolate Crush toffees received by him. The teacher distributed a total of 81 toffees among the students. Each student received at least one toffee of each type. The number of Fruit Bite toffees received by R is equal to number of Milk Bar toffees received by P.

Q. Which of the following types of toffees distributed by teacher were the least in number?

  • a)
    Fruit Bite

  • b)
    Chocolate Crush

  • c)
    Milk Bar

  • d)
    Data inadequate

Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Read the following information carefully to answer the question that f...
Following table can be drawn as per given information.


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Read the following information carefully to answer the question that f...
Understanding the Distribution of Toffees
To solve the problem, let's analyze the information provided.
Information Breakdown
- R received 24 Milk Bar toffees.
- P received 10 Fruit Bite toffees.
- Each student received an equal number of toffees.
- Total toffees distributed = 81.
- Each student received at least one of each type of toffee.
Calculation of Total Toffees per Student
Since the total number of toffees is 81 and there are 3 students, each student received:
- Total toffees per student = 81 / 3 = 27 toffees.
Toffee Distribution Per Student
1. R's Toffees:
- Milk Bar = 24
- Let Fruit Bite (R) = x
- Then, Chocolate Crush (R) = 27 - 24 - x = 3 - x.
- Since each type must be at least 1, x must be less than 3, meaning R must have 2 Fruit Bites and 1 Chocolate Crush.
2. P's Toffees:
- Fruit Bite = 10
- Let Milk Bar (P) = y
- Then, Chocolate Crush (P) = 27 - 10 - y = 17 - y.
- To satisfy at least one of each type, y must be less than 17, so y can be 1 through 16.
3. Q's Toffees:
- Let Fruit Bite (Q) = a
- Let Chocolate Crush (Q) = b
- Given, a = b + 6.
- Total = a + b + c = 27.
- Thus, a + (a - 6) + c = 27, leading to 2a + c = 33.
Final Counts
By substituting possible values:
- If P has 10 Fruit Bites, R has 2, then Q must have 15.
- Chocolate Crush counts show that Q has 9, making Q's Fruit Bites 15.
Conclusion
Toffees distributed:
- Fruit Bite: 10 (P) + 15 (Q) + 2 (R) = 27.
- Chocolate Crush: 1 (P) + 9 (Q) + 1 (R) = 11.
- Milk Bar: 24 (R) + 1 (P) + 2 (Q) = 27.
Thus, the least distributed toffee type is:
Chocolate Crush with 11 toffees.
Therefore, the correct answer is option 'B'.
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Read the following information carefully to answer the question that follows.Three students (P, Q and R) received an equal number of toffees from their teacher. The teacher offered three different types of toffees Fruit Bite, Chocolate Crush and Milk Bar. R received 24 Milk Bar toffees. P received 10 Fruit Bite toffees. The total number of Milk Bar toffees divided by the teacher is equal to number of toffees received by each student. The number of Fruit Bite toffees received by Q is 6 more than the number of Chocolate Crush toffees received by him. The teacher distributed a total of 81 toffees among the students. Each student received at least one toffee of each type. The number of Fruit Bite toffees received by R is equal to number of Milk Bar toffees received by P.Q. Which of the following types of toffees distributed by teacher were the least in number?a)Fruit Biteb)Chocolate Crushc)Milk Bard)Data inadequateCorrect answer is option 'B'. Can you explain this answer?
Question Description
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