Answer :
The maximum weight that can be measured on the physical balance using the given weights without exceeding 178 kgs is 177 kgs, which is achieved by combining weights of 47, 46, 43, and 41 kgs. Hence the correct answer is option (d), 177
The student asked for the maximum weight that can be measured with given weights of 47, 46, 43, 48, 49, 42, and 77 kgs on a physical balance, without exceeding 178 kgs. To solve this, we need to find the combination of weights that gives us the maximum value below 178 kgs. After testing various combinations, the closest we can get without going over 178 kgs is by using the weights 47, 46, 43, and 42 kgs, which add up to 178 kgs. However, since we need the maximum weight below 178 kgs, we have to remove the smallest weight to prevent the total from reaching 178 kgs.
Therefore, the maximum weight we can measure without exceeding 178 kgs is 47 + 46 + 43 = 136 kgs. If we attempt to add any other weight from the remaining options (49, 48 or 77 kgs), we would exceed the 178 kg limit. The maximum weight less than 178 kg using the given weights is 177 kgs, which can be achieved by adding the 48 kg weight to the initial sum (47 + 46 + 43 + 41 = 177 kgs). Hence, the correct option for the asked question is D) 177.
