UGC NET Questions (Paper – 1)

Statements A, B and C state the standard time–work model: one-day work as 1/n, combined rates added and inverse relation between time and rate. Statement E is also true since many problems can be set up and solved using simple linear equations in the unknown rates. Statement D is false because if A is twice as fast as B, A will take half the time, not twice. Therefore, the combination A, B, C and E only is correct.

Option A:
Option A is incomplete because it leaves out E and thus fails to mention the useful algebraic viewpoint that rates can be handled by linear equations. Without E, the picture of modelling is not fully captured.

Option B:
Option B is correct since it collects all the true statements and excludes D, which reverses the relationship between speed and time. It reflects exactly how NET aspirants are expected to reason about time and work problems.

Option C:
Option C is incorrect because it includes D, the wrong claim about time for a faster worker, even though it also lists some true statements. Including a false statement invalidates the combination.

Option D:
Option D is also wrong as it retains D and omits A, failing to state the fundamental definition of one-day work while endorsing an incorrect comparison of times.

Statements A and B give the usual representation of individual and combined work rates in time and work problems. Statement D is also correct because increasing the number of equally efficient workers generally reduces the time for a fixed job when total work is unchanged. Statement C is false, since a faster worker takes less time, and E is false because alternate-day work patterns depend on how many days are counted and cannot always be reduced to a simple average. Hence the correct set of statements is A, B and D only, matching option B.

Option A:
Option A is incomplete as it leaves out D, thereby ignoring the inverse relation between number of workers and time, which is a standard pattern tested in exam questions.

Option B:
Option B is correct because it collects the ideas of one-day work, combined rate and inverse proportionality while excluding C and E, which misstate how speed affects time and oversimplify alternate working-day scenarios.

Option C:
Option C is wrong since it brings in E, which incorrectly claims a simple average works in all alternate-day situations, and it omits B, so it both adds an error and loses a fundamental rule.

Option D:
Option D is incorrect because it includes C, which reverses the comparison of fast and slow workers, and it omits A, dropping the basic 1/x representation of one-day work.

B gives the standard combined-rate formula. C is also correct: independent daily rates add. A is false because working together they finish faster than either alone, so the time is less than 6 days (and certainly not greater than 10). D is false because doubling workers halves time only under ideal assumptions, not “always”. E is false because different workers can have different speeds. Thus only B and C are correct.

Option A:
Option A is incomplete because it omits C, the general rate-addition rule for more than two workers.

Option B:
Option B is correct because it includes exactly the true rate principles (B and C) and excludes A, D and E, which are false generalisations.

Option C:
Option C is wrong because it includes A, which incorrectly claims the combined time is greater than 10 days.

Option D:
Option D is incorrect because it includes D, which is not universally true, even though B and C are true.