UGC NET Questions (Paper – 1)

Distance is calculated using the formula Distance = Speed × Time. The given speed is 60 km/h, but the time is 30 minutes, which is half an hour or 0.5 hours. Substituting into the formula gives Distance = 60 × 0.5 = 30 km. Hence, the train covers 30 kilometres in 30 minutes at this speed.

Option A:
Option A, 20 km, would correspond to a speed of 40 km/h for 30 minutes, not the given 60 km/h. It reflects a misalignment between speed and time.

Option B:
Option B, 25 km, does not correspond to any simple fraction of 60 using half an hour and indicates an incorrect multiplication or conversion.

Option C:
Option C, 40 km, would be the distance travelled in 40 minutes at 60 km/h, or in 2/3 of an hour, not in 30 minutes. Thus, it overestimates the distance for the time given.

Option D:
Option D correctly uses 0.5 hours as the time and multiplies by 60 km/h to get 30 km. This matches both the formula and the unit conversion from minutes to hours.

Statements A and B correctly define speed and describe the inverse relationship between speed and time for a fixed distance. Statement E is also true because many aptitude questions demand consistent units, requiring conversions like km/h to m/s. Statement C is false since the average speed for a round trip with different speeds is given by the harmonic mean, not the simple arithmetic mean, and D is false because using consistent units, not different ones, avoids confusion. Therefore, the combination A, B and E only is correct.

Option A:
Option A is incomplete because although it includes two true statements, it omits E and thus fails to highlight the practical necessity of unit conversion in exam problems. Without E, the description of typical question features is not complete.

Option B:
Option B is correct as it collects all the true statements and rejects C and D, which misdescribe average speed and unit usage. It perfectly matches the conceptual treatment of time–speed–distance in UGC NET.

Option C:
Option C is wrong because it brings in C, which wrongly uses the arithmetic mean for round trips, and therefore mixes a false statement with true ones. This mathematical error invalidates the option.

Option D:
Option D is incorrect since it includes D, the mistaken claim about using different units, and omits A, which gives the core definition of speed. This combination misleads about both concept and practice.

A, B and C describe good principles of reading a single graph: scale affects visual impression, legends identify categories and, within one graph, equal heights match equal values. D is wrong because equal heights on different graphs with different scales may correspond to different actual values. E is also wrong because in many data interpretation questions candidates must convert units (such as thousands to lakhs or minutes to hours). Therefore, D and E only are the incorrect statements.

Option A:
Option A captures only D as wrong and overlooks E, which incorrectly claims unit conversions are never needed. Because it fails to include all wrong statements, this option is not adequate.

Option B:
Option B treats only E as wrong and ignores the error in D regarding comparing heights across graphs with different scales. Thus it also fails to identify the complete set of wrong statements.

Option C:
Option C is correct because it selects both D and E, the two statements that mislead about cross-graph comparisons and the need for unit conversions, while leaving A, B and C intact as good interpretation practices.

Option D:
Option D incorrectly adds C to the set of wrong statements even though C is true for any single graph using a consistent scale. Including C makes this combination inaccurate.

This option is correct because 1 hour equals 60 minutes. Therefore, 3 hours equals 3 × 60 = 180 minutes. This direct multiplication gives the correct conversion. Hence, three hours correspond to 180 minutes.

Option A:
A value of 120 minutes corresponds to only 2 hours since 120 ÷ 60 = 2. It does not represent 3 hours. Therefore, this option is not correct.

Option B:
Using 180 minutes reflects the correct multiplication of 3 by 60. This matches both the standard unit conversion and everyday experience with time. Thus, this option is accurate.

Option C:
200 minutes would be 3 hours and 20 minutes, which exceeds 3 hours. Since the question asks for exactly three hours, 200 minutes is not correct.

Option D:
240 minutes equal 4 hours, as 240 ÷ 60 = 4. This is more than 3 hours and therefore not the correct conversion.

Statements A and B summarise the basic relationship and unit harmony. Statement C is correct (m/s → km/h multiply by 18/5). Statement D is correct (km/h → m/s multiply by 5/18). Statement E is false because inconsistent units can cause major errors even when approximating. Therefore, A, B, C and D only are correct.

Option A:
Option A is incomplete as it omits D (km/h → m/s).

Option B:
Option B is incomplete because it omits B (minutes to hours conversion) even though it includes conversion factors.

Option C:
Option C is incorrect because it omits A (distance = speed × time).

Option D:
Option D is correct since it gathers all true statements and excludes E (false).