Solve for Z. Take 1 ball out of the 1st box, 2 balls out of the 2nd, 3 balls out of the 3rd, etc…. and then weigh all of the balls. Then take the total weight = 10*total number balls + x. Solve for x and that will tell you which box is defective.
How do you find the defective ball from 9 balls?
Split the balls into groups of three, compare two of the groups. If the sets balance then the heavy ball is in the third group, otherwise it is in the group left out. Whichever it is, take two balls from that group to weigh. If they balance, you know it is the third ball, if they don’t, you have the heavier ball.
What is a defective ball?
We measure up balls 10 and 11 against each other and if one of them is lighter than the other, then it is the defective one. If they have the same weight, then ball 9 is the defective one.
What is the total weight of 10 boxes each has?
Weight of each pole = (weight of 3 poles) – (weight of 2 poles) = 20 kg. So, total weight of 10 pojes = (20 x 10) kg = 200 kg.
How do you arrange 9 balls in minimum attempts?
Our Solution: Divide the 9 balls into 3 groups of 3. Compare the weight of two of those groups. The heavier group should then be obvious, it will either tip the scales, or, if the scales stay balanced, then it is the group you didn’t include.
What is defective ball in football?
If a soccer ball becomes defective while not in play, meaning a goal kick, corner kick, free kick, penalty kick, or throw in is about to take place, a replacement ball is found and the match is restarted accordingly.
What will be the total weight of 10 bats?
What is the total weight of 10 boxes each has the same weight one fourth of the weight of a box is 5 kg?
From statement I, it is clear that weight of one box = 5 * 4 = 20 kg. So, the total weight of 10 boxes is 20 * 10 = 200 kg. Thus, alone I is sufficient. From statement II, the weight of one box = weight of three boxes – weight of two boxes = 20 kg.
What’s the best way to find a defective ball?
In general, if you have N balls, you would need to make at least log₃ (N) tests to find the defective ball. The strategy is the same: keep splitting the group of remaining balls into 3 (as) equal (as possible) subgroups, discarding 2 of these subgroups after a measurement.
What happens if box 1 has defective balls?
If box 1 has defective balls, then the total weight should be 1gm less than expected (only one ball weighing 9 gm). If box 2 has defective balls, then the total weight should be 2gm less than expected (two balls weighing 9 gm). So once you weigh the set of chosen balls, find out the difference between the total weight and the expected weight.
How can you tell if a puzzle Prime ball is defective?
If the scale tips to the right side, the procedure is similar. CASE 2. Let the scale tip to the left side during the first measurement. This means that either one of the balls 1, 2, 3, 4 is defective and it is heavier, or one of the balls 5, 6, 7, 8 is defective and it is lighter. Clearly, balls 9, 10, 11, 12 are all genuine.
Which is the defective ball 9 or 11?
If the scale tips to the left side, then either the defective ball is number 9 and is heavier, or it is number 10/11 and is lighter. We measure up balls 10 and 11 against each other and if one of them is lighter than the other, then it is the defective one. If they have the same weight, then ball 9 is the defective one.
