Stumped

If x, y, and z are integers and xy+z is an odd integer, is x an even integer?

1. xy+xz is an even integer
2. y+xz is an odd integer

Correct OA=A

Would appreciate a detailed solution.

Re: Work problem.

Running at their respective constant rates, machine X takes 2 days longer to produce w widgets than machine Y. At these rates, if the two machines together produce 5/4 w widgets in 3 days, how many days would it take machine X alone to produce 2w widgets? A. 4 B. 6 C. 8 D. 10 E. 12 Y can produce w ...

Total time taken for the two segments of x-5 miles @ 60mph and 5 miles @ 30mph= (x-5)/60 + 5/30 = (x-5+10)/60 = (x+5)/60 Time taken if all of x miles were traveled @ 60mph = x/60 Extra time take when 5 miles was done @ 30mph = (x+5)/60 - x/60 =5/60 Percentage increase= (increase/original)*100 = [(5/...

Re: Be Careful!!

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x-y

If x is not equal to -y, is [(x-y)/(x+y)]>1? 1. x>0 2. y<0 I tried the following approach: [(x-y)/(x+y)]>1 so, x-y>x+y or, 2y<0, or y<0. Alternatively, [(x-y)/(x+y)]>1, or [(x-y)/(x+y)]-1>0, or [-2y/(x+y)]>0, or -2y>0, or y<0 Thus I chose B, but the correct choice is E. Now knowing the answer, I tri...

ab=0 implies a+b-ab=0
or a+b=ab

Putting b=1 gives a+1 =a ----> not possible.

so b =1 is the answer

Atleast one French member = (1F out of total 3)+(2F out of total 3)+(3F out of total 3)

=(4C1*6C2) + (4C2*6C1) + (4C3)
=4*15 + 6*6 + 4
=60+36+4
=100

x^2-(by)^2 = (x+by)(x-by)

The 4 given terms can combine in (4*3)/2 ways to give 6 terms which are products of the respective terms.

There is only one set of prodcuts which is of the form required: (x+y)(x-y)

So, probability = 1/6