Match the source of error with the corresponding correction in surveying with steel tape.
Step 1: Sag correction.
Sag is the bending of the steel tape due to its own weight when not kept perfectly horizontal. This causes the measured length to be longer than the actual distance, and thus the correction is negative. Therefore, for (P), the correction is (2) Only Negative ($-$).
Step 2: Temperature correction.
Temperature changes affect the length of the tape. If the temperature is higher than the standard temperature, the tape will expand, and if it is lower, the tape will contract. The correction can either be positive or negative depending on whether the temperature is above or below the standard temperature. Thus, for (Q), the correction is (3) Either positive or negative ($+$ or $-$).
Step 3: Pull correction.
When the pull on the tape is greater than the standard pull, the tape elongates, making the measured length longer than the actual length. Therefore, the correction is positive, as it compensates for the increased length. Thus, for (R), the correction is (1) Only Positive ($+$).
Three villages P, Q, and R are located in such a way that the distance PQ = 13 km, QR = 14 km, and RP = 15 km, as shown in the figure. A straight road joins Q and R. It is proposed to connect P to this road QR by constructing another road. What is the minimum possible length (in km) of this connecting road?
Note: The figure shown is representative.
For the clock shown in the figure, if
O = O Q S Z P R T, and
X = X Z P W Y O Q,
then which one among the given options is most appropriate for P?
“His life was divided between the books, his friends, and long walks. A solitary man, he worked at all hours without much method, and probably courted his fatal illness in this way. To his own name there is not much to show; but such was his liberality that he was continually helping others, and fruits of his erudition are widely scattered, and have gone to increase many a comparative stranger’s reputation.” (From E.V. Lucas’s “A Funeral”)
Based only on the information provided in the above passage, which one of the following statements is true?