Directions : Each of the questions below consists of a question and two…
2020
Directions : Each of the questions below consists of a question and two statements numbered I, and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and answer the following questions.
In a certain code language. How is “Utility” coded in the given code language?
Statements I: “man power required” is coded as “N12 E23 G15” and “power sector source” is coded as “N12 D21 Q17” and “man utility source” is coded as “E23 L14 Q17” and “global sector required” is coded as “T34 D21 G15”
Statements II: “Indian capital income” is coded as “W21 B14 S31” and “source of capital” is coded as “Q17 M29 B14” and “income utility source” is coded as “S31 L14 Q17” and “capital income surplus” is coded as “B14 S31 F18”
- A.
If the data in statement I alone are sufficient
- B.
If the data in statement II alone are sufficient
- C.
If the data either in statement I alone or statement II alone are sufficient to answer
- D.
If the data given in both I and II together are not sufficient
- E.
If the data in both the statements I and II together are necessary to answer
Show answer & explanation
Correct answer: C
Concept
This is a data-sufficiency coding-decoding item. A statement is sufficient to decode a target word only if that word's code can be isolated uniquely. The standard tool is common-code elimination: when two coded phrases share one or more words, the codes common to both must belong to those shared words, so the remaining (unshared) code in a phrase is forced onto the remaining (unshared) word.
Applying to Statement I
Statement I gives four phrases. Track the phrase that contains the target word “man utility source” → E23 L14 Q17, and isolate its words using overlaps with the other phrases:
“man power required” → N12 E23 G15 and “man utility source” → E23 L14 Q17 share only the word man, so the only common code E23 = man.
“power sector source” → N12 D21 Q17 and “man utility source” → E23 L14 Q17 share only the word source, so the common code Q17 = source.
In “man utility source”, with man = E23 and source = Q17 removed, the leftover code L14 is forced onto the leftover word utility.
So Statement I alone fixes utility = L14. Statement I alone is sufficient.
Applying to Statement II
Statement II gives four independent phrases. Repeat the same elimination on the phrase carrying the target, “income utility source” → S31 L14 Q17:
“Indian capital income” → W21 B14 S31 and “income utility source” → S31 L14 Q17 share only income, so S31 = income.
“source of capital” → Q17 M29 B14 and “income utility source” → S31 L14 Q17 share only source, so Q17 = source.
In “income utility source”, with income = S31 and source = Q17 removed, the leftover code L14 is forced onto the leftover word utility.
So Statement II alone also fixes utility = L14. Statement II alone is sufficient.
Cross-check and result
Each statement, working entirely on its own, isolates the code for “Utility” as L14, and both agree. Because either statement by itself answers the question, the correct choice is the one stating that either statement alone is sufficient.