Statement (1)\(\frac{n}{36}\) is an odd integer.
36 = 2*2*3*3
The smallest Odd number it can be multiplied with, so that the product is greater than 100 but less than 200 is 3
i. 36 * 3 = 108
The next odd number is 5
ii. 36 * 5 = 180
Multiplying with any other odd number will make the product greater than 200. As we see there are two options, this statement is not sufficient.
Statement (2)\(\frac{n}{45}\) is an even integer
45 = 3*3*5
The smallest even number it can be multiplied with, so that the product
...
36 = 2*2*3*3
The smallest Odd number it can be multiplied with, so that the product is greater than 100 but less than 200 is 3
i. 36 * 3 = 108
The next odd number is 5
ii. 36 * 5 = 180
Multiplying with any other odd number will make the product greater than 200. As we see there are two options, this statement is not sufficient.
Statement (2)\(\frac{n}{45}\) is an even integer
45 = 3*3*5
The smallest even number it can be multiplied with, so that the product
...




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