PP2 Quant Questions (#3 and #4)

Question #3


I solved for X = 5. Can I assume since it is not explicitly stated that X is the units digit of the number 36X. That I should multiply it like as if its written as a normal problem 36 times X. I solved it as prime factors of 365 instead of 36 times 5 = 180.

Question #4


Is my reasoning for why answer choice D is correct, correct?

You draw out the triangle, understand that is an isosceles triangle with two sides of 10. Due to the sum of two sides needing to be greater than the third. The third side of the triangle IK must be between 0<X<20. Since the question is asking for the length of IJ and their is a midpoint. IJ has to have a length between 0<IJ<10. Is this correct or is there another way we were suppose to solve it?

Thanks

That is generally the rule. A number and a variable placed side by side implies multiplication and not digit concatenation. For it to represent digit concatenation, they must either provide the relevant context or use explicit notation (like an overline over the concatenated digit).

Yes