Direction: Read the passage and answer the question. A, B, C and D are four friends living together in a flat and they have an agreement that whatever edible comes they will share equally among…
Question and options
Direction: Read the passage and answer the question.
A, B, C and D are four friends living together in a flat and they have an agreement that whatever edible comes they will share equally among themselves. One day A’s uncle came to him and gave him a box of laddoos. Since no one was around, A divided the laddoos in four equal parts and ate his share after which he put the rest in the box. As he was closing the box, B walked in, took the box from A and divided the laddoos in 4 equal parts and A and B took one part each and ate it. Suddenly C appeared and snatched the box. He again divided the laddoos in four equal parts, the three of them ate one part each and kept the remaining laddoos in the box. Later when D came he again divided the laddoos in four equal parts and all four ate their respective share. In total D ate 3 laddoos.
A, B, C and D are four friends living together in a flat and they have an agreement that whatever edible comes they will share equally among themselves. One day A’s uncle came to him and gave him a box of laddoos. Since no one was around, A divided the laddoos in four equal parts and ate his share after which he put the rest in the box. As he was closing the box, B walked in, took the box from A and divided the laddoos in 4 equal parts and A and B took one part each and ate it. Suddenly C appeared and snatched the box. He again divided the laddoos in four equal parts, the three of them ate one part each and kept the remaining laddoos in the box. Later when D came he again divided the laddoos in four equal parts and all four ate their respective share. In total D ate 3 laddoos.
How many laddoos, in total did C eat?
- 12
- 15
- 39
- None of the given options is correct
Answer and explanation
Correct answer: B - 15
Let the box hold N. A eats N/4, leaving 3N/4. B splits that into parts of 3N/16 and A and B eat one each, leaving 3N/8. C splits that into parts of 3N/32 and A, B, C eat one each, leaving 3N/32. D splits that into parts of 3N/128 and everyone eats one. D ate 3, so N = 128. The parts are 32, then 24, then 12, then 3. C ate 12 + 3 = 15.
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