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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. How many Milk Bar toffees were received by Q?

  • a)
    1

  • b)
    2

  • c)
    3

  • d)
    Data inadequate

Correct answer is option 'A'. Can you explain this answer?
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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...
Given Information:
- 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 the 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 the number of Milk Bar toffees received by P.

Solution:
Let's assume the number of toffees received by each student is 'x'.

Distribution of Toffees:
- R received 24 Milk Bar toffees.
- P received 10 Fruit Bite toffees.
- Q received x toffees of each type.

Total Number of Toffees:
The teacher distributed a total of 81 toffees among the students.
Therefore, we can write the equation as:
24 + 10 + 3x = 81

Number of Toffees of Each Type:
Since each student received an equal number of toffees of each type, we can write the equation as:
x + x + x = 81 - 24 - 10
3x = 47
x = 47/3
x = 15.6667

Since the number of toffees cannot be a decimal value, we need to find a whole number that satisfies all the given conditions.

Fruit Bite Toffees Received by Q:
The number of Fruit Bite toffees received by Q is 6 more than the number of Chocolate Crush toffees received by him.
Let's assume Q received y Chocolate Crush toffees.
Therefore, the number of Fruit Bite toffees received by Q is y + 6.

Number of Milk Bar Toffees Received by P:
The number of Fruit Bite toffees received by R is equal to the number of Milk Bar toffees received by P.
R received 24 Milk Bar toffees.
Therefore, P received 24 Fruit Bite toffees.

To find the number of Milk Bar toffees received by Q, we need to substitute the values we have found so far into the equation:
24 + 10 + 3(15.6667) = 81

Simplifying the equation, we get:
24 + 10 + 47 = 81
81 = 81

Since the equation is true, the assumption that each student received 15.6667 toffees is incorrect. Let's try another assumption.

Assumption:
Let's assume each student received 16 toffees.

Distribution of Toffees:
- R received 24 Milk Bar toffees.
- P received 10 Fruit Bite toffees.
- Q received 16 toffees of each type.

Total Number of T
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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. How many Milk Bar toffees were received by Q?a)1b)2c)3d)Data inadequateCorrect answer is option 'A'. Can you explain this answer?
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