Question

The question consists of two statements numbered "I and II" given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. A rope of length 48 metres is cut into three unequal pieces. Find the length of the middle-sized piece. Statement I: The sum of the two shorter pieces is 28 metres. Statement II: The sum of the two longer pieces is 37 metres.

Q: Answer-The question consists of two statements numbered 'I and II' given below it. You have to decide wheth...

ATQ, Let the pieces be a, b, c with a b c. Need b. Total a b c 48 1 Statement I b c 28 2 From 1 a 48 28 20. b unknown. I alone Not sufficient. Statement II a b 37 3 From 1 c 48 37 11. b unknown. II alone Not sufficient. Together 2 b c 28, 3 a b 37. Add a 2b c 65. Subtract 1 a 2b c a b c 65 48 b 17. Together sufficient. Answer b 17 metres. So, data in statement I and II together is sufficient to answer the question

A The data in statement I alone are sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

B The data in statement II alone are sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

C The data either in statement I alone or in statement II alone is sufficient to answer the question.

D The data given in both statements I and II together is not sufficient to answer the question.

E The data in both statements I and II together is necessary to answer the question.

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