Question : On a T.V. channel, four serials A, B, C and D were screened, one on…

2025

Question : On a T.V. channel, four serials A, B, C and D were screened, one on each day, on four consecutive days but not necessarily in that order. On which day was the serial C screened ?

Statements :

I. The first serial was screened on 23rd, Tuesday and was followed by serial D.

II. Serial A was not screened on 25th and one serial was screened between serials A and B.

  1. A.

    I alone is sufficient while II alone is not sufficient

  2. B.

    II alone is sufficient while I alone is not sufficient

  3. C.

    Neither I nor II is sufficient

  4. D.

    Both I and II are sufficient

Attempted by 9 students.

Show answer & explanation

Correct answer: D

Concept: In a Data Sufficiency question, a statement (or a combination of statements) is sufficient only when it pins down exactly one value for what is asked. If more than one arrangement remains consistent with the given information, that statement (or combination) is insufficient.

Statement I alone: It tells us the serial screened on the first day (23rd, Tuesday) was immediately followed by serial D, so D was screened on the second day (24th). It says nothing about how A, B and C are placed among the remaining three days, so more than one arrangement is still possible. Statement I alone is not sufficient.

Statement II alone: It tells us serial A was not screened on 25th and that exactly one serial was screened between serials A and B. On a four-day line, this only allows A and B to occupy the 1st and 3rd days, or the 2nd and 4th days (in either order), and it says nothing about D at all. More than one arrangement remains, so Statement II alone is not sufficient.

Combining both statements:

  1. From Statement I, serial D occupies the second day (24th).

  2. Since the second day is already taken by D, the only way Statement II's condition of "one serial between A and B" can hold is if A and B occupy the 1st and 3rd days, with D as the one serial sitting between them.

  3. Statement II also rules out A being on the 25th (the 3rd day), so A must be on the 1st day (23rd) and B on the 3rd day (25th).

  4. That leaves only the 4th day (26th) for serial C.

Cross-check: Day 1 (23rd, Tuesday) = A, Day 2 (24th, Wednesday) = D, Day 3 (25th, Thursday) = B, Day 4 (26th, Friday) = C. This satisfies both statements - the first serial (A) is followed by D, A is not screened on the 25th, and exactly one serial (D) sits between A and B - and it is the only arrangement that does.

So neither statement alone fixes serial C's day, but together they leave only one possible arrangement: C was screened on the 26th, Friday. Both Statement I and Statement II are needed together.

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