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Graduate Record Examination Test: Verbal, Quantitative, Analytical Writing Questions 216–220 (page: 45)

Updated On: 10-Feb-2026

0 < x < y
Rx + y < 0

Quantity A
x - y

Quantity B
R

  1. Quantity A is greater.
  2. Quantity B is greater.
  3. The two quantities are equal.
  4. The relationship cannot be determined from the information given.

Answer(s): A

Explanation:

We are given:
1. 0 < x < y
2. Rx + y < 0
From (2):



Since 0 < x < y, the ratio y/x > 1. Therefore:



So, R is less than ­1.
Now compare:
Quantity A = x - y
Quantity B = R
Because x < y x - y < 0
But since y > x > 0



More simply, using an example that fits all conditions:
If x = 1, y = 2, then x - y = -1
Condition R < -y/x = -2 forces R < -2
So, x - y = -1 is greater than any such R.
x - y > R
Quantity A is greater.



If 1.375y = 1, what is the value of y, expressed as a fraction?






Answer(s): C

Explanation:



1.375 = , so y = 1 ÷ =





If Transit Company T will run 60 trains per day, then the projected annual revenue is approximately what percent greater than the projected annual cost?

  1. 1%
  2. 5%
  3. 10%
  4. 15%
  5. 30%

Answer(s): E

Explanation:

At 60 trains per day the solid (revenue) curve is a little above the 200-million line, while the dashed (cost) curve is a little below the 160-million line.
Projected revenue $210 million

Projected cost $160 million

Difference = 210 ­ 160 = 50 million.



Thus the revenue is about 30 percent greater than the cost.





If Transit Company T will run 40 trains per day for a year, approximately what is the projected average revenue per day?

  1. $310,000
  2. $360,000
  3. $410,000
  4. $460,000
  5. $510,000

Answer(s): B

Explanation:

At 40 trains per day, the solid "Revenue" curve is a little below the midpoint between $125 million and $150 million on the vertical scale - about $140 million a year.



The closest choice is $360,000.





Transit Company T's projected annual cost consists of staffing costs, fuel costs, and equipment costs in the ratio of 1 to 2 to 5.

If the company will run 50 trains per day, approximately what is the projected annual cost for fuel?

  1. $12 million
  2. $17 million
  3. $22 million
  4. $27 million
  5. $32 million

Answer(s): E

Explanation:

At 50 trains per day, read the cost on the dashed curve:
The cost curve at 50 trains per day is a little above $125 million and below $150 million.

The best estimate from the graph is about $130 million.

The cost ratio is:

Staffing : Fuel : Equipment = 1 : 2 : 5

Total parts = 1 + 2 + 5 = 8

Fuel corresponds to 2 parts, so fuel cost is 2/8= 1/4 of the total cost.

Compute fuel cost:
1/4 × 130 million 32.5 million
Closest answer: $32 million



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