Test 8 - Reduction of Levels

Question 1 ప్రశ్న 1

In reducing staff readings by the HEIGHT-OF-INSTRUMENT (HI) method, which operation establishes the line-of-collimation RL for a new setup on a benchmark of known RL?

A Subtract the backsight from the benchmark RL. B Add the foresight to the benchmark RL. C Add the backsight to the benchmark RL. D Subtract the intermediate sight from the benchmark RL.

Question 2 ప్రశ్న 2

A benchmark has RL 104.265 m, and the backsight from a freshly set level is 1.385 m. What is the HI for this setup?

A 102.880 m. B 105.650 m. C 104.265 m. D 106.035 m.

Question 3 ప్రశ్న 3

A valve-chamber floor is observed by an intermediate sight of 2.375 m from a setup whose HI is 106.800 m. What is the floor RL?

A 109.175 m. B 105.575 m. C 106.800 m. D 104.425 m.

Question 4 ప్రశ్న 4

From a single undisturbed level setup, successive readings on two different points are 2.485 m and 1.760 m. What is the RISE or FALL from the first point to the second?

A Rise of 0.725 m. B Fall of 0.725 m. C Rise of 4.245 m. D Fall of 4.245 m.

Question 5 ప్రశ్న 5

Two consecutive readings from the SAME instrument setup are 0.955 m at A and 2.230 m at B. What entry belongs in the rise-and-fall columns for B?

A Rise = 1.275 m. B Fall = 3.185 m. C Fall = 1.275 m. D Rise = 3.185 m.

Question 6 ప్రశ్న 6

A one-setup level book contains BM (RL 110.000 m; BS 1.620 m), point P (IS 2.335 m) and CP (FS 1.475 m). Which pair correctly gives the RLs of P and CP?

A P = 111.620 m; CP = 110.000 m. B P = 109.285 m; CP = 110.145 m. C P = 112.335 m; CP = 111.475 m. D P = 110.715 m; CP = 109.855 m.

Question 7 ప్రశ్న 7

The HI of the old level setup is 121.550 m. Its foresight on a change point is 2.175 m; after shifting, the backsight on the SAME change point is 0.940 m. What is the new HI?

A 122.490 m. B 118.435 m. C 119.375 m. D 120.315 m.

Question 8 ప్రశ్న 8

Reduce this TWO-SETUP level book by the HI method. Start: BM RL 80.250 m. Setup 1: BS on BM 1.465 m, IS on A 2.250 m, FS on CP 1.980 m. Setup 2: BS on the same CP 0.845 m, IS on B 1.105 m, FS on endpoint E 1.755 m. What is RL(E)?

A 79.735 m. B 80.580 m. C 78.825 m. D 79.475 m.

Question 9 ప్రశ్న 9

For a levelling run, the consecutive ground changes are: fall 0.785 m, rise 0.270 m, fall 0.260 m and fall 0.650 m. Which rise-and-fall totals and net elevation change are correct?

A Rise 0.270 m, fall 1.425 m, net -1.155 m. B Rise 0.270 m, fall 1.695 m, net -1.425 m. C Rise 1.695 m, fall 0.270 m, net +1.425 m. D Rise 0.785 m, fall 0.910 m, net -0.125 m.

Question 10 ప్రశ్న 10

A change point is observed as FS = 2.450 m just before the instrument is moved and as BS = 0.780 m just after the move. From the second setup the next point P has IS = 1.340 m. What is the rise or fall from the change point to P?

A Fall of 0.560 m. B Rise of 0.560 m. C Rise of 1.670 m. D Fall of 1.670 m.

Question 11 ప్రశ్న 11

A THREE-SETUP level book starts at BM RL 150.000 m. Setup 1: BS BM 1.240, IS A 1.850, FS CP1 0.955. Setup 2: BS CP1 1.335, IS P 0.765, FS CP2 2.105. Setup 3: BS CP2 0.925, IS Q 1.415, FS endpoint E 1.085 (all readings in m). What is RL(Q)?

A 149.025 m. B 149.515 m. C 150.440 m. D 150.855 m.

Question 12 ప్రశ్న 12

In a correctly booked rise-and-fall reduction, the successive changes between distinct points are: fall 0.610 m, rise 0.895 m, rise 0.570 m, fall 1.340 m, fall 0.490 m and rise 0.330 m. What are the sums of rises and falls?

A Rise 1.465 m; fall 2.440 m. B Rise 2.440 m; fall 1.795 m. C Rise 1.795 m; fall 1.950 m. D Rise 1.795 m; fall 2.440 m.

Question 13 ప్రశ్న 13

A three-setup run starts at RL 150.000 m and has sum BS = 3.500 m, sum FS = 4.145 m, sum rises = 1.795 m and sum falls = 2.440 m. Which statement correctly completes BOTH arithmetic checks?

A End RL = 150.645 m; both differences are +0.645 m. B End RL = 149.355 m; both differences are -0.645 m. C End RL = 149.355 m; rise minus fall equals +0.645 m. D End RL = 146.500 m; both differences are -3.500 m.

Question 14 ప్రశ్న 14

A completed levelling run begins at RL 92.650 m and ends at RL 91.965 m. If the sum of backsights is 4.125 m, what must be the sum of foresights for an arithmetically consistent book?

A 3.440 m. B 4.125 m. C 4.810 m. D 5.495 m.

Question 15 ప్రశ్న 15

In a levelling book the starting RL is 125.250 m, final RL is 126.025 m and sum FS is 2.980 m. What is the required sum BS?

A 2.205 m. B 2.980 m. C 4.005 m. D 3.755 m.

Question 16 ప్రశ్న 16

For the HEIGHT-OF-INSTRUMENT method, which standard arithmetic relation checks the endpoint reduction of a properly booked levelling run?

A Sum BS - sum FS = last RL - first RL. B Sum BS + sum FS = last RL - first RL. C Sum IS - sum FS = last RL - first RL. D Sum BS - sum IS = first RL - last RL.

Question 17 ప్రశ్న 17

Which identity is the COMPLETE standard arithmetic check used in a consistently computed RISE-AND-FALL level book?

A Sum BS + sum FS = sum rise + sum fall = last RL + first RL. B Sum IS - sum FS = sum rise + sum fall = first RL - last RL. C Sum BS - sum FS = sum rise - sum fall = last RL - first RL. D Sum BS - sum IS = sum fall - sum rise = last RL - first RL.

Question 18 ప్రశ్న 18

For a stable change point used between two levelling setups, what is the correct treatment in a rise-and-fall level book?

A Record the old FS and new BS as two different ground points with separate RLs. B Give the change point one RL, book the old FS and new BS against it, and compute no rise or fall between those two sightings. C Subtract the new BS directly from the old FS and record the result as a rise or fall at the same point. D Discard the old FS once the new BS has been taken.

Question 19 ప్రశ్న 19

A level-book arithmetic check balances perfectly, but the staff was tilted during one observation. What conclusion is justified?

A The arithmetic is internally consistent, but the balance alone does not establish observational accuracy. B The staff must have been vertical because the balance is zero. C The levelling run necessarily closes on an independent benchmark with zero misclosure. D The tilted reading is automatically corrected by the rise-and-fall sums.

Question 20 ప్రశ్న 20

Which statement MOST ACCURATELY compares the internal checking capability of the two standard RL-reduction methods?

A The HI method supplies a special rise-and-fall check on every intermediate point, while rise-and-fall does not. B Both methods directly verify all observations against independent ground truth. C Rise-and-fall makes consecutive intermediate RL computations more directly checkable; the usual HI endpoint check does not independently check each intermediate RL. D Neither method supports any arithmetic check when change points are present.

Question 21 ప్రశ్న 21

For a water-main longitudinal profile with MANY intermediate ground points observed from each instrument position, which statement best describes the usual choice of reduction method?

A The rise-and-fall method is compulsory because HI cannot reduce intermediate sights. B The HI method is often faster for numerous intermediate points, whereas rise-and-fall is more detailed for checking successive RL reductions. C Only the rise-and-fall method can calculate the absolute RL of a point from a benchmark. D HI and rise-and-fall require different datums and cannot produce the same correct RLs.

Question 22 ప్రశ్న 22

One intermediate-sight reading was MISREAD in the field, but that wrong numerical value was booked and every RL, rise and fall was recomputed consistently from it. What can be said about the standard arithmetic checks?

A Only rise-and-fall must necessarily show a mismatch. B Both methods must necessarily show a mismatch equal to the reading error. C Only the HI method must necessarily show a mismatch. D The checks can still balance because algebraic consistency does not establish that the observed staff value was true.

Question 23 ప్రశ్న 23

A run closes on a benchmark whose established RL is 98.500 m. The reduced RL calculated from the new observations is 98.482 m, and the level-book arithmetic check balances. What is the closing misclosure defined as CALCULATED minus ESTABLISHED RL?

A +0.018 m. B -0.018 m. C -0.036 m. D 0.000 m.

Question 24 ప్రశ్న 24

From one setup, point P has RL 132.640 m and an IS reading of 1.920 m. Point Q, observed without moving the instrument, has an IS of 0.875 m. What is RL(Q)?

A 131.595 m. B 132.640 m. C 134.560 m. D 133.685 m.

Question 25 ప్రశ్న 25

A two-setup book starts at BM RL 95.000 m. Setup 1: BS BM 1.280, IS P 1.870, FS CP 1.540. Setup 2: BS CP 1.050, IS Q 0.820, FS E 1.690 (m). A clerk recorded RLs P = 94.510 m, CP = 94.740 m, Q = 94.970 m and E = 94.100 m. Which recorded RL is INCORRECT even though the BS-FS endpoint check balances?

A RL(P) = 94.510 m. B RL(CP) = 94.740 m. C RL(Q) = 94.970 m. D RL(E) = 94.100 m.

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