| Statement 1: Rational numbers are closed under division. |
| Statement 2: The value of \[\left( \frac{-7}{18}\times \frac{15}{-7} \right)-\left( 1\times \frac{1}{4} \right)+\left( \frac{1}{2}\times \frac{1}{4} \right)\] is \[\frac{17}{24}\]. |
A) Both Statement -1 and Statement - 2 are true.
B) Statement-1 is true and Statement - 2 is false.
C) Statement -1 is false but Statement - 2 is true.
D) Both Statement - 1 and Statement - 2 are false.
Correct Answer: C
Solution :
Non-zero rational numbers are closed under division. So, Statement-1 is false. Now, \[\left( \frac{-7}{18}\times \frac{15}{-7} \right)-\left( 1\times \frac{1}{4} \right)+\left( \frac{1}{2}\times \frac{1}{4} \right)=\frac{5}{6}-\frac{1}{4}+\frac{1}{8}\] \[=\frac{20-6+3}{24}=\frac{17}{24}\]. So, Statement-2 is true.
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