Word formation from letters of MEASUREMENT Which ONE of the following words can be formed using the letters of “MEASUREMENT”, using each letter at most once?
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AASSURE
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BMASTER
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CSUMMIT
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DMANTLE
Answer
Correct Answer: MASTER
Explanation
Introduction / Context:Many verbal reasoning questions ask whether a given option can be formed from the letters of a source word. The rule is simple: you may use only the letters that appear in the source, and you cannot exceed the count of any letter present there.
Given Data / Assumptions:
- Source word: MEASUREMENT.
- Letter multiset of MEASUREMENT: {M×2, E×3, A×1, S×1, U×1, R×1, N×1, T×1}.
- Each option must be checked against these counts.
Concept / Approach:Count letters in the source, then ensure the option’s letters do not ask for any letter that is absent or in higher quantity than available.
Step-by-Step Solution:Check “ASSURE”: needs A×1, S×2, U×1, R×1, E×1. MEASUREMENT has only S×1 ⇒ impossible.Check “MASTER”: needs M×1, A×1, S×1, T×1, E×1, R×1 ⇒ all available ⇒ possible.Check “SUMMIT”: needs S×1, U×1, M×2, I×1, T×1 ⇒ letter I is absent ⇒ impossible.Check “MANTLE”: needs M×1, A×1, N×1, T×1, L×1, E×1 ⇒ letter L is absent ⇒ impossible.
Verification / Alternative check:Recount “MASTER” against the multiset. No letter exceeds the allowed count; all letters exist.
Why Other Options Are Wrong:“ASSURE” needs two S; only one is available. “SUMMIT” needs I; not present. “MANTLE” needs L; not present.
Common Pitfalls:Ignoring letter multiplicities (e.g., assuming infinite S’s) or overlooking letters that do not appear at all (I, L).
Final Answer:MASTER