prompt_aqua.yaml

- question: "John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is?"
  options: "(a) 50 (b) 45 (c) 65 (d) 78 (e) 64"
  subanswers:
    - If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50.
  answer: (a)

- question: "If a / b = 3/4 and 8a + 5b = 22,then find the value of a."
  options: "(a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2"
  subanswers:
    - If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2.
  answer: (b)

- question: "A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance?"
  options: "(a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km"
  subanswers:
    - The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km.
  answer: (e)

- question: "How many keystrokes are needed to type the numbers from 1 to 500?"
  options: "(a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788"
  subanswers:
    - There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392.
  answer: (b)