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A total of 972B chocolates are distributed amongst a certain number of people such that each of them gets 327B chocolates. Find the value of B.
  • a)
    13
  • b)
    14
  • c)
    17
  • d)
    19
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A total of 972B chocolates are distributed amongst a certain number o...
To solve this problem, we can use the concept of division.

Let's assume the number of people to be x.

According to the given information, the total number of chocolates distributed is 972B and each person receives 327B chocolates.

So, we can form the equation:

972B = 327B * x

Simplifying this equation, we get:

972 = 327 * x

Now, let's solve this equation to find the value of x (the number of people).

Dividing both sides of the equation by 327:

972/327 = 327x/327

Simplifying:

2.97 = x

Since the number of people cannot be a decimal, we need to round off the value of x.

Now, let's check the given options to find the correct value of B.

a) 13
b) 14
c) 17
d) 19

Substituting the calculated value of x into the equation:

972 = 327 * 2.97

972 = 965.19

Since the calculated value does not match the given total number of chocolates, we can conclude that the value of x should be rounded up to the nearest whole number.

So, x = 3.

Now, let's substitute this value of x into the equation to find the value of B.

972 = 327 * 3B

972 = 981B

Dividing both sides of the equation by 981:

972/981 = 981B/981

Simplifying:

0.99 = B

Since B cannot be a decimal, we need to round off the value of B.

The only option that matches the calculated value of B is 19 (option d), so the correct answer is option d) 19.
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Community Answer
A total of 972B chocolates are distributed amongst a certain number o...
972B=9B2+7B+2 and 327B=3B2+2B+7 Now, 4(3B2+2B+7)=12B2+8B+28 which is much greater than 9B2+7B+2
Hence, 972B must be either the 2 nd or 3 rd multiple of 327B Now, 2(3B2+2B+7)=6B2+4B+14 If 972B is the 2 nd multiple of 327B, then 9B2+7B+2=6B2+4B+14 3B2+3B−12=0
Here, we do not get any integral value of B.
Hence, 972B must be the 3 rd multiple of 327B 9B2+7B+2=3(3B2+2B+7)
B = 19
Hence, option 4.
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Directions: Read the following information carefully and answer the question given below.A person has kept some sweets in 10 lockers for his 10 students, so that each of them chooses one. In each locker, there are some chocolates and some lollipops, where each lollipop costs Rs. 15 and each chocolate costs Rs. 25. Each locker is differently coloured i.e. yellow, blue, white, red, green, brown, pink, grey, orange and purple. Lockers are in two rows, one above another. The bottom row has lockers marked with numbers 1 to 5 (left to right) and the top row has lockers marked with numbers 6 to 10 (left to right). Locker number 1 is just below locker number 6 and in the same way, locker number 2 is just below locker number 7 and so on. Locker numbers 1 to 5 contain sweets worth Rs. 485 and locker numbers 6 to 10 contain sweets worth Rs. 570. There are neither less than 3 sweets nor more than 8 sweets in any locker. Locker number 9 is brown in colour. Locker number 5 has 4 lollipops and 4 chocolates. Locker of red colour is numbered 3 more than the locker of green colour and both are in the same row. Locker number 1 contains sweets worth Rs. 125. The red coloured locker has sweets worth Rs. 45 more than the green coloured locker. Only the purple coloured locker contains the maximum number of sweets. The pink coloured locker is just above the yellow coloured locker. Grey colour locker is numbered 3 more than the locker which is yellow in colour and both are in the same row. The locker number which is numbered 1 less than the orange coloured locker contains sweets worth Rs. 95. The blue coloured locker contains 2 lollipops. The white coloured locker contains 3 sweets. Sweets in the orange coloured locker are worth Rs. 5 less than the sweets in the pink coloured locker. The red and white coloured lockers contain the same number of lollipops. Sweets in the grey coloured locker are worth Rs. 10 less than the white coloured locker. Sweets in the pink and blue coloured lockers cost Rs. 190 altogether. The orange and brown coloured lockers contain equal number of chocolates. Locker number 2 has sweets worth Rs. 80.Q.How many chocolates are there in lockers 6 to 10 altogether?

Directions: Read the following information carefully and answer the question given below.A person has kept some sweets in 10 lockers for his 10 students, so that each of them chooses one. In each locker, there are some chocolates and some lollipops, where each lollipop costs Rs. 15 and each chocolate costs Rs. 25. Each locker is differently coloured i.e. yellow, blue, white, red, green, brown, pink, grey, orange and purple. Lockers are in two rows, one above another. The bottom row has lockers marked with numbers 1 to 5 (left to right) and the top row has lockers marked with numbers 6 to 10 (left to right). Locker number 1 is just below locker number 6 and in the same way, locker number 2 is just below locker number 7 and so on. Locker numbers 1 to 5 contain sweets worth Rs. 485 and locker numbers 6 to 10 contain sweets worth Rs. 570. There are neither less than 3 sweets nor more than 8 sweets in any locker. Locker number 9 is brown in colour. Locker number 5 has 4 lollipops and 4 chocolates. Locker of red colour is numbered 3 more than the locker of green colour and both are in the same row. Locker number 1 contains sweets worth Rs. 125. The red coloured locker has sweets worth Rs. 45 more than the green coloured locker. Only the purple coloured locker contains the maximum number of sweets. The pink coloured locker is just above the yellow coloured locker. Grey colour locker is numbered 3 more than the locker which is yellow in colour and both are in the same row. The locker number which is numbered 1 less than the orange coloured locker contains sweets worth Rs. 95. The blue coloured locker contains 2 lollipops. The white coloured locker contains 3 sweets. Sweets in the orange coloured locker are worth Rs. 5 less than the sweets in the pink coloured locker. The red and white coloured lockers contain the same number of lollipops. Sweets in the grey coloured locker are worth Rs. 10 less than the white coloured locker. Sweets in the pink and blue coloured lockers cost Rs. 190 altogether. The orange and brown coloured lockers contain equal number of chocolates. Locker number 2 has sweets worth Rs. 80.Q.Which of the following lockers is brown in colour?

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A total of 972B chocolates are distributed amongst a certain number of people such that each of them gets 327B chocolates. Find the value of B.a)13b)14c)17d)19Correct answer is option 'D'. Can you explain this answer?
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A total of 972B chocolates are distributed amongst a certain number of people such that each of them gets 327B chocolates. Find the value of B.a)13b)14c)17d)19Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A total of 972B chocolates are distributed amongst a certain number of people such that each of them gets 327B chocolates. Find the value of B.a)13b)14c)17d)19Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A total of 972B chocolates are distributed amongst a certain number of people such that each of them gets 327B chocolates. Find the value of B.a)13b)14c)17d)19Correct answer is option 'D'. Can you explain this answer?.
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