Bissoy.com
Doctors Medicines MCQs Q&A

A teacher distributes chocolates in three classes A, B and C. In C, each student got 3 chocolates. In class B each student got 2 chocolates. In class A, 3 students did not get any chocolate and rest got one chocolate each. Average number of students in B and C were 48. If the chocolates distributed in class A and B were equal, which of the following cannot be the value of the total number of chocolates distributed in the three classes?

A teacher distributes chocolates in three classes A, B and C. In C, each student got 3 chocolates. In class B each student got 2 chocolates. In class A, 3 students did not get any chocolate and rest got one chocolate each. Average number of students in B and C were 48. If the chocolates distributed in class A and B were equal, which of the following cannot be the value of the total number of chocolates distributed in the three classes? Correct Answer 287

Given:

In C, each student got 3 chocolates. In class B each student got 2 chocolates. In class A, 3 students did not get any chocolate and rest got one chocolate each. Average number of students in B and C were 48. The chocolates distributed in class A and B were equal.

Formula Used:

average = sum of terms/number of terms

Calculation:

Let the number of students in A, B and C be ‘a’, ‘b’ and ‘c’ respectively.

⇒ Number of chocolates in A = (a - 3) × 1 = a - 3

Also, average number of students in B and C = (b + c)/2 = 48

⇒ b + c = 96; c = 96 - b

Total number of chocolates in all class = (a - 3) × 1 + b × 2 + (96 - b) × 3

⇒ a – b + 285

Also, the chocolates distributed in class A and B were equal.

⇒ a – 3 = 2b

⇒ a = 3 + 2b

Total number of chocolates = a – b + 285 = 3 + 2b – b + 285 = b + 288

Minimum of 288 chocolates were distributed.

Related Questions

Seven chocolates A, B, C, D, E, F and G are bought at different costs between Rs. 40 and Rs. 50 (excluding 40 and 50) but not necessarily in the same order. The cost of chocolate C is five less than that of chocolate E. The cost of the chocolate A is a prime number. The cost of chocolate F is two more than that of chocolate A. The cost of chocolate F is more than that of chocolate E. The cost of chocolate D is an odd number. The cost of chocolate G is three more than the cost of chocolate D. None of the chocolates costs Rs. 44. The cost of chocolate B is an even number. Which is the following chocolates is costlier than E?
Seven chocolates, A, B, C, D, E, F and G, are bought at different costs between Rs. 40 and Rs. 50 (excluding both Rs. 40 and Rs. 50) but not necessarily in the same order. The cost of chocolate C is Rs. 5 less than that of chocolate E. The cost of chocolate A is a prime number. The cost of chocolate F is Rs. 2 more than that of chocolate A. The cost of chocolate F is more than that of chocolate E. The cost of chocolate D is an odd number. The cost of chocolate G is Rs. 3 more than the cost of chocolate D. None of the chocolates cost Rs. 44. The cost of chocolate B is an even number. What is the cost of chocolate E?
Given below are six sentences, four of which, are jumbled. Pick the option that gives their connect order. Sentence 1. The British love chocolate. P. In fact, they spend more on chocolate than any other European country! Q. There is milk chocolate, dark chocolate and white chocolate. R. If you go to any newsagent’s shop in the UK you’ll see a huge selection of chocolate bars on sale. S. There are small bars of chocolate, medium-sized bars and massive bars of chocolate. Sentence 6. You can buy mint-flavoured chocolate, chocolate-covered peanuts or raisins, chocolate with nuts, chocolate with toffee … the list is endless!
Renuka bought some chocolates for her daughters. She put them on the table and went out for her doctor's appointment. Then Ayushi came home. She took one-third of the chocolates and went to her friend's house. Then came Sadhana. She thought that she was the first one to come home. She took one-third of the remaining chocolates and went out. At last Tanya came home. Thinking that she was the first one to arrive, she took one-third of the remaining chocolates. When Renuka came back, she found 24 chocolates lying on the table. She distributed them among her daughters, ensuring everyone got an equal share of the total chocolates. How many chocolates did Renuka give to Sadhana in the end?
Questions below followed by three quantities. Find the relationship between them. Quantity I: In a class with a certain number of students if a teacher weighing 78 kg is added, then average weight of class is increased by 2 kg. If one more teacher weighing 66 kg is added, then the average weight of the class increases by 3.5 kg over the original average. What is the original average weight (in kg) of the class? Quantity II: The average age of 16 students and their teacher's age is 16 years. If the teacher's age is excluded, the average reduces by 2. What is the teacher's age? Quantity III: Average weight of three friends A, B and C is 46 kg. Another person D joins the group and now the average is 45 kg. If another person E whose weight is 6 kg more than D, joins the group replacing A, then average weight of B, C, D and E becomes 47 kg. What is the weight of A (in kg)?
On children's day, chocolates are to be distributed in a school consisting of 1080 children, the number of chocolates given to each boy and girl is in the ratio 1 : 2, But on that particular day, 70 girls out of total 520 were absent so their chocolates were equally distributed among the boys of the school due to which each boy gets one extra chocolate, find the total number of chocolates. 
In a class text, to the question, find out 23% of 200, two students answered in following ways:  Student A: 23% of 200 = 23% of (100 + 100) = 23 + 23 = (20 + 20) + (3 + 3) = 46  Student B: 23% of 200 = 200 × \(\frac{23}{100}\) = 2 × 23 = 46 Which of the following statements is the most appropriate in the given context? 1. Since student B has used the standard algorithm, teacher gives full marks to student B and zero to student A 2. Teacher gives full marks to both the students as they have attempted the question using their own algorithms. Both formal and informal algorithms are integral to solving problems in mathematics. 3. Teacher gives zero marks to student A and directs him to redo the question using the algorithm taught in the Class 4. Teacher accepts both the responses but directed student A to refrain from using informal algorithm 
Five chocolates P, Q, R, S, T having different prices are kept in a box. Chocolate P is most expensive. Chocolate S is costlier than only two other chocolates. Chocolate Q is cheaper than P but costlier than S. R is not the cheapest chocolate. Which chocolate is the cheapest?
18 chocolates has to be distributed to a class of students. Each boy gets 3 chocolate and each girl gets 2 chocolates. If there were 11 more chocolates, each boy takes 2 more chocolate and each girl takes one more than what they had taken before. Find the difference in number of boys and girls.
Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the average weight of new students added? I. In a class 60% students are male and there average weight is 15 kg more than the female students, 9 males and 6 new female students joined the class and the average weight of the class increased by 0.84 II. Total male students in the class is 12 more than female students adding 9 male students to the class increases the average weight of male students by 1 kg and adding 6 female students increases the average weight of female students by 0.6.