QUESTION - If x and y are integers such that x < y < 0, what is x - y? (1) (x + y)(x - y) = 5 (2) xy = 6 (1) (x + y)(x - y) = 5 can be rephrased to x square - y square = 5 . Knowing that x < y < 0, x = -3 and y = -2 will be SUFFICIENT to ans x - y. (2) NOT SUFFICIENT. Hence the ans is '...

QUESTION - If x and y are integers such that x < y < 0, what is x - y? (1) (x + y)(x - y) = 5 (2) xy = 6 (1) (x + y)(x - y) = 5 can be rephrased to x square - y square = 5 . Knowing that x < y < 0, x = -3 and y = -2 will be SUFFICIENT to ans x - y. (2) NOT SUFFICIENT. Hence the ans is '...

The numbers of books read by 7 students last year were 10, 5, p, q, r, 29, and 20. What was the range of numbers of books read by the 7 students last year? (1) 5 < p < q (2) P < r < 15 I am torn between C and E (what a surprise!). Not sure why the answer is E. Can someone please help me ...

Ram thanks for a prompt response. Taking both 1 and 2 into account, if you visualize 5 and 15 on a number line, I see p, q, r all between 5 and 15. If thats correct, then it is possible to determine the range. What am I missing? Best regards!

q is not bound makes sense for the ans to be 'E'. All we know is that p and q are greater than 5 from (1) and p and r are less than 15 from (2) but we don't know the upper limit on q which can change the range. Thanks for all the help! Happy New Year!