Test 8 - Gradients, Grade Compensation and Vertical Alignment

Question 1 ప్రశ్న 1

Which statement correctly defines the longitudinal gradient of a highway and distinguishes it from transverse pavement camber?

A Gradient is the angle between two opposing traffic streams, whereas camber specifies the curve radius. B Gradient is the lateral rise of the pavement across its width, whereas camber is the rise along the road. C Gradient expresses longitudinal rise or fall relative to horizontal distance, while camber is transverse crossfall for drainage. D Gradient is the additional carriageway width provided at a horizontal curve.

Question 2 ప్రశ్న 2

According to IRC:73-2023 Table 7.1, which ruling and limiting gradients apply to ordinary two-, four-, six- or eight-lane non-urban highways in plain or rolling terrain?

A Ruling 2.5% and limiting 3.3%. B Ruling 3.3% and limiting 5.0%. C Ruling 5.0% and limiting 6.0%. D Ruling 2.0% and limiting 3.0% for every non-urban road category.

Question 3 ప్రశ్న 3

Under IRC:73-2023, what ruling and limiting longitudinal gradients are specified specifically for expressways?

A 3.3% ruling and 5.0% limiting, with no restriction on length. B 5.0% ruling and 6.0% limiting in all terrain. C 2.5% ruling and 7.0% limiting for long uninterrupted sections. D 2.0% ruling and 3.0% limiting, with the limiting grade restricted to very difficult situations and short lengths.

Question 4 ప్రశ్న 4

For a Major District Road in plain or rolling terrain, what ruling, limiting and exceptional gradients are listed in IRC:73-2023 Table 7.2?

A 2.5%, 3.3% and 5.0%, respectively. B 3.3%, 5.0% and 6.0%, respectively. C 5.0%, 7.0% and 10.0%, respectively. D 6.0%, 8.0% and 10.0%, respectively.

Question 5 ప్రశ్న 5

For MDR, ODR and Village Roads in mountainous terrain, or steep terrain above 3,000 m elevation, which ruling, limiting and exceptional gradients are given by IRC:73-2023 Table 7.2?

A 3.3%, 5.0% and 6.0%. B 6.0%, 8.0% and 10.0%. C 5.0%, 7.0% and 10.0%. D 2.0%, 3.0% and 5.0%.

Question 6 ప్రశ్న 6

For MDR, ODR and Village Roads in steep terrain at elevations up to 3,000 m above mean sea level, which gradients are specified in IRC:73-2023 Table 7.2?

A Ruling 6%, limiting 8% and exceptional 10%. B Ruling 5%, limiting 7% and exceptional 10%. C Ruling 2.5%, limiting 3.3% and exceptional 6%. D Ruling 3.3%, limiting 5% and exceptional 7%.

Question 7 ప్రశ్న 7

A proposed rural hill road requires two separate exceptional-gradient stretches. Which length and separation rule reflects IRC:73-2023?

A Exceptional gradients may continue for any distance if warning signs are placed. B Each exceptional-grade stretch may be 500 m long, provided the intervening gradient is also exceptional. C Exceptional gradients must be separated by a minimum 20 m of still steeper gradient. D Each exceptional-grade stretch should not exceed 100 m, and successive stretches in mountainous/steep terrain must be separated by at least 100 m at limiting grade or flatter.

Question 8 ప్రశ్న 8

A non-urban road has an almost level longitudinal profile, adequate pavement camber and an unkerbed embankment section. A second section is in cutting with side drains. Which drainage-gradient interpretation best follows IRC:73-2023?

A Every non-urban road must have exactly a 1% longitudinal grade, regardless of its cross-section. B Near-level grades can be acceptable on adequately cambered unkerbed embankments, while cut or kerbed sections require longitudinal drainage consideration using the relevant drainage guidance. C Roadside drains can carry water only when the longitudinal carriageway grade is zero. D A sufficiently thick pavement removes the need to consider drainage gradients in all sections.

Question 9 ప్రశ్న 9

A major non-urban highway in flat terrain carries many slow-moving heavy vehicles and approaches an isolated road-over-bridge. Which choice best reflects the special gradient advice in IRC:73-2023?

A Consider a flatter grade of about 2% where feasible instead of automatically using the full ruling grade, with suitable vertical-curve and cost checks. B Use the highest available exceptional gradient throughout the approach to minimize the length. C Ignore gradients because the bridge deck controls vehicle power requirements completely. D Treat a shorter stopping sight distance as a substitute for a flatter bridge approach.

Question 10 ప్రశ్న 10

A proposed straight road rises uniformly by 50 m over a horizontal distance of 2,000 m. What is the gradient, expressed as a percentage and approximately as 1 in N?

A 5.0% and 1 in 20. B 0.25% and 1 in 400. C 2.5% and 1 in 40. D 4.0% and 1 in 25.

Question 11 ప్రశ్న 11

According to the IRC:73-2023 guidance for rural hill-road elevation gain, which maximum rises over a 2 km length are specified for mountainous and steep terrain respectively?

A 120 m in mountainous terrain and 100 m in steep terrain. B 100 m in mountainous terrain and 120 m in steep terrain. C 50 m in mountainous terrain and 75 m in steep terrain. D 200 m in both mountainous and steep terrain.

Question 12 ప్రశ్న 12

A highway upgrade of +3% is followed by a downgrade of -2% in the direction of travel. What is the magnitude of the algebraic change in grade, and what vertical curve is formed?

A 1% and a valley curve. B 5% and a valley curve. C 1% and a summit curve. D 5% and a summit curve.

Question 13 ప్రశ్న 13

A road has a downgrade of -2% followed by an upgrade of +3%. What type of vertical curve is required, and what is the magnitude of the algebraic grade difference?

A A valley or sag curve with a 5-percentage-point grade difference. B A summit curve with a 1-percentage-point difference. C A straight tangent with zero grade difference. D A summit curve with a 5-percentage-point difference.

Question 14 ప్రశ్న 14

Two consecutive vertical curves bending in the same direction are separated by a short tangent of 150 m on a road designed for 72 km/h. Under the IRC:73-2023 broken-back-profile guidance, what is the appropriate assessment?

A The arrangement is preferred because the separating tangent is longer than one metre. B It is mandatory because consecutive vertical curves must always have equal radii. C The 10-second travel distance is 200 m, so the 150 m tangent indicates an undesirable broken-back profile that should be redesigned if feasible. D The design is automatically acceptable because the tangent is shorter than the curve radius.

Question 15 ప్రశ్న 15

Why does IRC highway alignment design provide grade compensation where a significant longitudinal upgrade coincides with a relatively sharp horizontal curve?

A To replace the need for highway superelevation with a steeper longitudinal grade. B To reduce the longitudinal grade so the additional tractive resistance due to curvature does not combine as severely with grade resistance. C To eliminate cross-drainage requirements on every horizontal curve. D To convert all hill roads into level roads regardless of available alignment length.

Question 16 ప్రశ్న 16

A hill-road horizontal curve of radius 200 m lies on a 5.0% longitudinal upgrade. Under IRC:73-2023, use GC = (30 + R)/R percent, capped at 75/R percent, and do not ease the grade below 4%. What compensated gradient results?

A 3.850%. B 4.000%. C 4.250%. D 4.625%.

Question 17 ప్రశ్న 17

A horizontal curve of radius 100 m occurs on a 7.0% hill-road upgrade. Use the IRC:73-2023 grade compensation expression GC = (30 + R)/R percent, limited to 75/R percent, with no reduction below 4%. What compensated grade is obtained?

A 6.25%. B 5.70%. C 4.00%. D 6.75%.

Question 18 ప్రశ్న 18

A hill-road section has an initial gradient of 4.4% and a horizontal curve of radius 60 m. Apply the IRC:73-2023 grade compensation formula and 75/R cap, while observing that the compensated gradient need not be reduced below 4%. What is the adopted compensated grade?

A 3.15%. B 2.90%. C 4.00%. D 4.40% because grade compensation applies only above 6%.

Question 19 ప్రశ్న 19

A road has a 3.5% longitudinal gradient at a horizontal curve of radius 80 m. Which decision is consistent with the IRC:73-2023 grade-compensation provision?

A Mandatorily reduce the 3.5% grade to zero because the horizontal curve is sharp. B Grade compensation is not necessary because the initial gradient is flatter than 4%, although other curve-design requirements still apply. C Increase the grade to 4% so that grade compensation can be applied. D Use the computed 75/R percent compensation to make the gradient negative.

Question 20 ప్రశ్న 20

On a simple parabolic summit vertical curve, the grade changes from +3% to -1% over a curve length L = 200 m. Using the approximate vertical offset y = N x^2/(2L), where N is the magnitude of the grade change as a decimal, what is the offset below the initial tangent at x = 50 m from the beginning of the curve?

A 0.05 m. B 0.50 m. C 1.00 m. D 0.25 m.

Question 21 ప్రశ్న 21

For a summit vertical curve providing stopping sight distance, take the IRC approximation L = NS^2/4.4 for the case L > S, where N is the algebraic grade difference as a decimal. If N = 0.06 and required sight distance S = 120 m, what length is obtained and is the assumed case consistent?

A Approximately 196.4 m, and L > S is consistent. B Approximately 81.8 m, and L > S is consistent. C Approximately 19.6 m, and L > S is inconsistent. D Approximately 120.0 m because curve length must equal sight distance.

Question 22 ప్రశ్న 22

For a summit curve with L < S, use the approximate IRC stopping-sight-distance relation L = 2S - 4.4/N, with N expressed as a decimal. If the grade change is N = 0.04 and SSD is S = 100 m, what curve length is calculated, and is the assumed case satisfied?

A 110 m, so the assumed case is satisfied. B 200 m, so L < S is satisfied. C 90 m, so L < S is satisfied. D 10 m, so L < S is not satisfied.

Question 23 ప్రశ్న 23

For a valley vertical curve with L > S, use the IRC headlight-sight-distance approximation L = NS^2/(1.50 + 0.035S), where N is the absolute grade difference as a decimal. If N = 0.05 and SSD S = 120 m, what length is obtained?

A Approximately 75.8 m. B Approximately 126.3 m. C Exactly 240.0 m. D Approximately 40.0 m.

Question 24 ప్రశ్న 24

A 150 m-long parabolic valley curve connects a -2% grade to a +3% grade in the direction of increasing chainage. Assuming a uniform rate of grade change, at what distance from the beginning of the curve is the lowest point?

A 30 m. B 75 m. C 90 m. D 60 m.

Question 25 ప్రశ్న 25

An alternative hill-highway profile combines a sharp horizontal curve immediately beyond a pronounced summit and a poorly drained low point in a short valley curve. Which decision best follows sound IRC vertical-alignment principles?

A Coordinate the horizontal and vertical geometry to preserve sight distance, avoid visual discontinuities, and provide suitable sag-curve drainage and headlight visibility. B Retain both hazards because design speed alone guarantees safe visibility and drainage. C Remove vertical curves entirely so that all gradients meet at sharp kinks. D Increase every gradient to the exceptional limit because steep grades always improve vehicle control.

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