Two statements, $S_{1}$ and $S_{2}$ , are given below, followed by a question. $S_{1} : 114 < x < 126$ , where $x$ is a natural number. $S_{2} : x$ is a factor of $169$ . Question: Is $x$ a prime number $?$

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Solution

From the first statement:

$S_{1} : 114 < x < 126$ , where $x$ is a natural number.
$x = 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125$

From the second statement:

$S_{2} : x$ is a factor of $169$ .
Factors of $169 = 1, 13, 169$
From the above, we didn’t get a definite value for $x$ .
Hence, we cannot conclude that whether $x$ is a prime number.

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Two statements, S1 and S2, are given below, followed by a question.S1:114<x<126, where x is a natural number. S2:x is a factor of 169. Question: Is x a prime number ?

From the first statement:S1:114<x<126, wherexis a natural number.x=115,116,117,118,119,120,121,122,123,124,125 From the second statement:S2:x is a factor of 169.Factors of 169=1,13,169From the above, we didn’t get a definite value for x.Hence, we cannot conclude that whether x is a prime number.

Two statements, $S_{1}$ and $S_{2}$ , are given below, followed by a question. $S_{1} : 114 < x < 126$ , where $x$ is a natural number. $S_{2} : x$ is a factor of $169$ . Question: Is $x$ a prime number $?$