Directions: The question given below consists of a question and two Statements…
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Directions: The question given below consists of a question and two Statements I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the questions. Read both the statements and give answer.
On a TV channel four serials P, M, C and G were screened, one on each day, on four consecutive days but not necessarily in that order. On which day was the serial C screened?
I. The first serial was screened on 23rd, Tuesday and was followed by serial G.
II. Serial P was not screened on 25th and one serial was screened between serials P and M.
Answer: D. The data in both the statements I and II are necessary to answer to the question. — ConceptIn data-sufficiency questions, a statement is sufficient only when its constraints force one unique answer. Test each statement independently first;…
- A.
The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
- B.
The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
- C.
The data either in statement I or in statement II alone are sufficient to answer the question.
- D.
The data in both the statements I and II are necessary to answer to the question.
Attempted by 4 students.
Show answer & explanation
Correct answer: D
Concept
In data-sufficiency questions, a statement is sufficient only when its constraints force one unique answer.
Test each statement independently first; combine them only when neither one alone determines the requested value.
Application
Statement I anchors the four dates as 23rd, 24th, 25th, and 26th and places G on 24th. C can still occupy 23rd, 25th, or 26th, so C’s day is not unique.
Statement II places P and M two positions apart and excludes P from 25th. Without Statement I’s placement of G and date anchor, more than one arrangement remains, so C’s day is not unique.
Using both statements, G is on 24th. Therefore P and M cannot occupy 24th and 26th; their only two-position-apart pair is 23rd and 25th.
Because P is not on 25th, P is on 23rd and M is on 25th. The remaining serial C must be on 26th, Friday.
Cross-check and contrast
The claim that Statement I alone is sufficient is ruled out by the three possible positions left for C.
The claim that Statement II alone is sufficient is ruled out by the multiple arrangements allowed without G’s fixed position.
The claim that either statement alone is sufficient is ruled out because neither independent test yields a unique day.
The combined arrangement P–G–M–C uses all four serials once and satisfies every constraint.
Thus, both Statements I and II are necessary, and C was screened on 26th, Friday.