Civil Service Exam Reviewer · Word Problems · hard

What is the smaller angle between the hour and minute hands of a clock at 8:15?

  1. 150°
  2. 202.5°
  3. 172.5°
  4. 157.5°

Answer

D. 157.5°

Solution

Angle = |30H − 5.5M| = |30(8) − 5.5(15)| = 157.5°. (The hour hand moves 0.5° per minute.)

More Word Problems questions

  1. A train 210 m long travels at 36 km/h. How long does it take to completely cross a bridge 250 m long?
  2. ₱90,000 was invested, part at 3% and the rest at 8% simple annual interest. The total interest after one year was ₱6,700. How much was…
  3. The sum of the ages of Ivan and Gino is 134. 10 years ago, Ivan was 5 times as old as Gino. How old is Gino now?
  4. Ramon can finish a job in 9 days and Pia in 8 days. They work together for 1 day(s), then Pia leaves. How many days in all does it take to…
  5. A pipe can fill a tank in 6 hours, while a drain can empty it in 10 hours. If both are open, how long will it take to fill the empty tank?
  6. Pia received ₱600 as allowance. She spent 1/3 of it on books and 19% of the remainder on food. How much was left?
  7. Three consecutive odd integers are such that the sum of the first and the third is 106. What is the largest of the three?
  8. If students sit 3 to a bench, 12 students have no seat. If they sit 4 to a bench, 3 bench(es) are left empty. How many students are there?
  9. Marco can finish a job in 9 days, Ella in 18 days, and a third worker in 18 days. How long will the job take if all three work together?
  10. A train 180 m long travels at 90 km/h. How long does it take to pass a lamp post?

All Word Problems questions