CAT 1999 | Question: 164

Question

The question is followed by two statements I and II.

Mark

• A. if the question can be answered by any one of the statements alone, but cannot be answered by using the other statement alone.
• B. if the question can be answered by using either statement alone.
• C. if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
• D. if the question cannot be answered even by using both the statements together.

 

What is the distance x between two cities A and B in integral number of kilometres?

1. x satisfies the equation $\log_2 x = \sqrt{x}$
2. $x \geq 10$ km

Answer 1

x>=10

and it also satisfies log x =√x

x=4

So, Ans C) if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.

Comments

I think ans should be option A. Because statement 1 is enough to give distance between A and B ( which is equal to x=4 KM), but can not be given by statement 2, which says any integral distance greater than or equal to 10 Km.

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Only by equation 1) x could be 2,9

As we have to take only integral part and no fraction part

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how 9  ??

does x=9 satisfies equation $log_2$9 = $sqrt{9}$  ??      // (3.1699) != 3  right ??

See , x=4 and x=16 both holds the equation 1 .

So ans should be either A for x=4 or C for x=16.