eto yung sagot..
1. Answer
5:55 p.m.
Solution: Clock 1 shows 5:42 p.m.; Clock 2 shows 6:02 p.m.; and Clock 3 shows 6:10 p.m. The difference in time shown by the clocks:
Clocks 1 and 2: 20 minutes
Clocks 1 and 3 is 28 minutes
Clocks 2 and 3 is 8 minutes
This gives two possible cases:
Case One
Clock 1 is 13 minutes slow and Clock 3 is 15 minutes fast; Clock 1 is 13 minutes slow and Clock 3 is 15 minutes fast; Clock 2 is 7 minutes fast and Clock 3 is 15 minutes fast. This means Clock 1 is 13 minutes slow, Clock 2 is 7 minutes fast and Clock 3 is 15 minutes fast. Therefore, the actual time is 5:55 p.m.
Case Two
Clock 1 is 13 minutes fast and Clock 2 is 7 minutes slow; Clock 1 is 13 minutes fast and Clock 3 is 7 minutes slow; Clock 2 is 7 minutes slow and Clock 3 is 15 minutes slow. This means that Clock 1 is 13 minutes fast, with a time of 5:29; Clock 2 is 7 minutes slow, with a time of 6:09 p.m.; and Clock 3 is 15 minutes slow, with a time of 6:25 p.m. Therefore, Case Two is not valid.
2. Answer
4,928 ft.2
Solution: The total area of the circle = 42 x 42 x 22/7 = 5,544 ft.2.
3/4 of the circle = area A = 4,158 ft.2.
1/4 of the circle with 14 ft. radius = area B = 1/4 x 22/7 x 14 x 14 = 154 ft.2.
1/4 of the circle with 28 ft. radius = area C = 1/4 x 22/7 x 28 x 28 = 616 ft.2.
Thus, the total area that the goat can graze is 4,928 ft.2.
3. Answer
One measurement, 45 resistors
Solution: Mark the boxes from 1 to 10. Take one resistor from the box marked #1, two resistors from the box labeled #2, and so on up to taking nine resistors from the box marked #9 (making 45 resistors in all). Connect them in a series and take one measurement. Subtract 45,000 from the resistance reading and devide the result by 100. The answer should be a digit from 0 to 9, indicating the number of the box containing 1,100 ohm resistors. The answer 0 would indicate that the 1,100 ohm resistors are in the box marked #10.
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