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Sweta, Swarna, Sneha and Soumya and four sisters who have an agreements that they share all snaks among themselves. One day, uncle Prem gave a box of cookies of Sweta. Since the other sisters were not around. Swetha divided the cookies into four parts, ate her share and put the rest into the box. As she was closing the box. Swarna came in. She took all the cookies from the box and divided them into four equal parts. Sweta and Swarna ate one part each and put the rest in the box. Just then, Sneha walked in. She took all the cookies from the box, divided them into four equal parts. The three of them ate their respective shares and put the rest into the box. Later, when Soumya came, she divided all the cookies into four equal parts and all four sisters are their respectives shares. In total, Soumya ate 3 cookies.
Q. How many cookies, in total, did Sneha eat?
  • a)
    30
  • b)
    12
  • c)
    15
  • d)
    6
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Sweta, Swarna, Sneha and Soumya and four sisters who have an agreement...
Solution:

Given, Sweta divided the cookies into four parts and ate her share. Then, Swarna divided the cookies into four parts and each of them ate one part. Sneha also did the same and then Soumya divided the cookies into four parts and all four sisters ate their respective shares.

Let's assume the number of cookies that Sweta received to be x.

After Sweta ate her share, the number of cookies left in the box = x - x/4 = 3x/4

Now, Swarna divided these cookies into four parts, so each part had (3x/4)/4 = 3x/16 cookies.

Sweta and Swarna ate 3x/16 cookies each, so the number of cookies left in the box = (3x/4) - (3x/16) - (3x/16) = 3x/8

Sneha divided these cookies into four parts, so each part had (3x/8)/4 = 3x/32 cookies.

Therefore, Sneha ate 3x/32 cookies and the number of cookies left in the box = (3x/8) - (3x/32) - (3x/32) = 9x/32

Finally, Soumya divided these cookies into four parts and each sister ate their respective shares. We are given that Soumya ate 3 cookies, so the total number of cookies = 4 * 3 + 9x/32 = 12 + 9x/32.

We need to find the number of cookies that Sneha ate, which is 3x/32.

Therefore, 3x/32 = (12 + 9x/32) - 3 - (3x/4) - (3x/16) - (3x/16)

Solving this equation, we get x = 20.

Hence, the total number of cookies = 12 + 9x/32 = 15.

Therefore, Sneha ate 3x/32 = 3 * 20/32 = 15/2 = 7.5 cookies, which is approximately 8 cookies.

Hence, the correct option is (c) 15.
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Sweta, Swarna, Sneha and Soumya and four sisters who have an agreements that they share all snaks among themselves. One day, uncle Prem gave a box of cookies of Sweta. Since the other sisters were not around. Swetha divided the cookies into four parts, ate her share and put the rest into the box. As she was closing the box. Swarna came in. She took all the cookies from the box and divided them into four equal parts. Sweta and Swarna ate one part each and put the rest in the box. Just then, Sneha walked in. She took all the cookies from the box, divided them into four equal parts. The three of them ate their respective shares and put the rest into the box. Later, when Soumya came, she divided all the cookies into four equal parts and all four sisters are their respectives shares. In total, Soumya ate 3 cookies.Q.How many cookies, in total, did Sneha eat?a)30b)12c)15d)6Correct answer is option 'C'. Can you explain this answer?
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Sweta, Swarna, Sneha and Soumya and four sisters who have an agreements that they share all snaks among themselves. One day, uncle Prem gave a box of cookies of Sweta. Since the other sisters were not around. Swetha divided the cookies into four parts, ate her share and put the rest into the box. As she was closing the box. Swarna came in. She took all the cookies from the box and divided them into four equal parts. Sweta and Swarna ate one part each and put the rest in the box. Just then, Sneha walked in. She took all the cookies from the box, divided them into four equal parts. The three of them ate their respective shares and put the rest into the box. Later, when Soumya came, she divided all the cookies into four equal parts and all four sisters are their respectives shares. In total, Soumya ate 3 cookies.Q.How many cookies, in total, did Sneha eat?a)30b)12c)15d)6Correct answer is option 'C'. 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 Sweta, Swarna, Sneha and Soumya and four sisters who have an agreements that they share all snaks among themselves. One day, uncle Prem gave a box of cookies of Sweta. Since the other sisters were not around. Swetha divided the cookies into four parts, ate her share and put the rest into the box. As she was closing the box. Swarna came in. She took all the cookies from the box and divided them into four equal parts. Sweta and Swarna ate one part each and put the rest in the box. Just then, Sneha walked in. She took all the cookies from the box, divided them into four equal parts. The three of them ate their respective shares and put the rest into the box. Later, when Soumya came, she divided all the cookies into four equal parts and all four sisters are their respectives shares. In total, Soumya ate 3 cookies.Q.How many cookies, in total, did Sneha eat?a)30b)12c)15d)6Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sweta, Swarna, Sneha and Soumya and four sisters who have an agreements that they share all snaks among themselves. One day, uncle Prem gave a box of cookies of Sweta. Since the other sisters were not around. Swetha divided the cookies into four parts, ate her share and put the rest into the box. As she was closing the box. Swarna came in. She took all the cookies from the box and divided them into four equal parts. Sweta and Swarna ate one part each and put the rest in the box. Just then, Sneha walked in. She took all the cookies from the box, divided them into four equal parts. The three of them ate their respective shares and put the rest into the box. Later, when Soumya came, she divided all the cookies into four equal parts and all four sisters are their respectives shares. In total, Soumya ate 3 cookies.Q.How many cookies, in total, did Sneha eat?a)30b)12c)15d)6Correct answer is option 'C'. Can you explain this answer?.
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