Each of the questions below consists of a question and two statements numbered I and II are given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and
Give answer a: if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
Give answer b: if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
Give answer c: if the data in Statement I alone or in Statement II alone are sufficient to answer the question.
Give answer d: if the data in both the Statements I and II together are not sufficient to answer the question.
Give answer e: if the data in both the Statements I and II together are necessary to answer the question.
There are 600 members in a club. Each of them likes either one or more of the given cuisines:
Chinese, Mexican and Italian. How many members like only Mexican cuisine?
(I) 57% of the members like Italian cuisine. 18% of the members like only Chinese cuisine and 15% of the members like only Chinese and Mexican cuisines.
(II) 58% of the members like either two or more of all the given cuisines. 43% of the members do not like Mexican cuisine.
$$a + b + c + d + e + f + g = 600$$ -----------(I)
Statement I : $$d + e + f + g = \frac{57}{100} \times 600 = 342$$ --------(II)
$$a = \frac{18}{100} \times 600 = 108$$ -------------(III)
$$b = \frac{15}{100} \times 600 = 90$$ ---------------(IV)
Applying the operation, (I) - (II) - (III) - (IV), we get :
=> $$c = 600 - 342 - 108 - 90 = 60$$
Thus, statement I alone is sufficient.
Statement II : $$b + d + e + f = \frac{58}{100} \times 600 = 348$$
$$a + d + g = \frac{43}{100} \times 600 = 258$$
We cannot find the value of $$c$$
Thus, II alone is not sufficient.
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