If ~$xyz ≠ 0$~, what is the value of ~$\frac{x^4 z^2}{z^2 y^2}$~ ?

1. ~$y^2 =x^4$~

2. ~$x=2$~ and ~$y=4$~

Is quadrilateral PQRS a parallelogram?

1. Adjacent sides  PQ  and  QR  have the same length

2. Adjacent sides RS and SP have the same length

323. A company produces a certain toy in only 2 sizes, small or large, and in only 2 colors, red or green. If,for each size, there are equal numbers of red and green toys in a certain production lot, what fraction of the total number of green toys is large?

1. In the production lot, 400 of the small toys are green

2. In the production lot,~$2 \over 3$~of the toys produced are small.

Three children inherited a total of ~$X$~ dollars. If the oldest child inherited $7,000 more than the youngest child, and the youngest child inherited $9,000 less than the middle child, what is the value of ~$X$~ ?

1. The middle child inherited $27,000.

2. The youngest child and the middle child together inherited a total of $45,000.

In the figure above,if A,B,and C are the areas, respectively, of the three nonoverlapping  regions formed by the intersection of two circles of equal area, what is the value of B+C?

1.~$A+2B+C=24$~

2.~$A+C=18 and B=3$~

If a school district paid a total of $35 per desk for ~$x$~ desks and a total of $30 per table for ~$y$~ tables, what was the total amount that the district paid for these desks and tables?

1. The total amount the district paid for the ~$y$~ tables was $900.

2. ~$x$~ = 90, and the total amount the district paid for the x desks was 3.5 times the total amount the district paid for the ~$y$~ tables.

Is the point Q  on the circle with center C  ?

1.R is a point on the circle and the distance from Q to R  is equal to the distance from Q to C

2.S is a point on the circle and the distance from Q to S  is equal to the distance from S to C

Is the sum of four particular integers even ?

1. Two of the integers are odd and two are even.

2. The average (arithmetic mean) of the four integers is an integer.

If the 1st term of a sequence is 0 and the 2nd term is 1, is the 5th term 2 ?

1. Each odd-numbered term is either 0 or 2.

2. The 3rd term is 2.

Is the integer ~$x$~ a 3-digit integer ?

1. ~$x$~ is the square of an integer.

2. ~$90 < x < 150$~