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OG2020-DS-327

Jones has worked at Firm X twice as many years as Green, and Green has worked at Firm X four years longer than Smith. How many years has Green worked at Firm X?

1. Jones has worked at Firm X 9 years longer than Smith

2. Green has worked at Firm X 5 years less than Jones


OG2020-DS-298

In a sequence of numbers in which each term is 2 more than the preceding term, what is the fourth term ?

1. The last term is 90.

2. The first term is 2.


OG2020-DS-326

After the first two terms in a sequence of numbers, each term in the sequence is formed by adding all of the preceding terms Is 12 the fifth term in the sequence?

1. The sum of the first 3 terms in the sequence is 6

2. The fourth term in the sequence is 6.


OG2020-DS-297

If ~$a$~ and ~$b$~ are integers, and ~$b > 0$~, does ~$\frac{a-1}{b+1} = \frac{a}{b}$~ ?

1. ~$a = b - 4$~

 2. ~$a = -b$~


OG2020-DS-325

1557471761_5cd5221169033.png

In the figure above, the vertices of △OPQ and △QRS  have coordinates as indicated. Do △OPQ and △QRS have equal areas?

1.~$b=2a$~

2.~$d=2c$~


OG2020-DS-296

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 ~$y=4$~


OG2020-DS-324

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


OG2020-DS-323

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.


OG2020-DS-295

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.


OG2020-DS-322

1557470773_5cd51e358f7bc.png

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


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