Transfer the operation, keeping the new tokens.
Compare two demonstrations, transfer the same relation, and distinguish sets from ordered strings. Includes fresh worked analogies and explicit practice limits.
Six original items each contribute one correct answer. A count out of six describes this fixed bank, without an ability band, percentile or employer threshold. All six explanations and this full guide remain available at every count.
What does the arrow preserve?
An analogy transfers a relation from demonstrated inputs and outputs to a new input. The answer is not the old output with familiar letters copied over. Ask whether the transformation preserves order, length, identity or membership. These six original items offer explicit candidate operations and more than one demonstration. Compare the complete input-output relationship in each. Two rows that look visually alike can still require different operations when their middle positions or repeated symbols differ.
Use a fresh position map
If PQRT becomes TRQP, full reversal maps old positions four, three, two, one into the new row. Applying that relation to UVWX produces XWVU. Swapping only the outside pair instead produces XVWU. Both operations move the ends, but only reversal also exchanges the middle. Label positions rather than relying on the first and final characters. This small check prevents a partial match from being mistaken for the whole demonstrated relation.
Use the second demonstration to challenge the first
A repeated-letter input can hide a distinction. For example, reversing ABBA leaves ABBA, just as doing nothing would. A second example such as CDEF → FEDC separates reversal from identity. Do not choose whichever operation sounds most sophisticated; choose the one that satisfies every shown pair within the offered family. If two candidates still fit, the evidence is insufficient for that family. Our checked items are authored to avoid that unresolved ambiguity.
Count output roles when length changes
Some analogies expand a token instead of merely moving positions. In a fresh rule that repeats the last token once, KLM becomes KLMM and RST becomes RSTT. The output has four tokens because one original role supplies two adjacent copies. A rule that appends the first token would give KLMK and is different even though the length matches. Compare both which token repeats and where its copies occur, not only the size of the result.
A set has membership, not row positions
For complement within the fixed universe {P,Q,R,S,T}, an input {Q,S} produces {P,R,T}. Complement means everything in that universe that is absent from the input. It does not mean reversing Q and S, and it does not permit introducing U. In set items, reordered written members represent the same mathematical set. Ordered-string questions are different: PQ and QP are distinct rows. Establish which representation the prompt defines before transferring its rule.
Explain why one distractor fails
Write the operation in a sentence before looking at the new alternatives. Compute the transformed input, then check the options. After review, select one incorrect option and identify the different operation it represents. This teaches the distinction rather than only a letter key. For a new exercise, replace the tokens while retaining the relation and ensure the answer still follows. The page provides all six item rationales and the complete guide without a payment or account requirement.
A correct analogy does not certify general reasoning
This section reports matches to six authored operations. It has no standardized abstract-reasoning norms, validated job-performance prediction or measured fairness across languages and educational backgrounds. English and Chinese explain the same symbolic stimuli, but translation alone does not establish measurement equivalence. Familiarity with letter rows and set notation can affect an attempt. Treat a missed answer as a specific relation to inspect, not evidence of fixed intelligence, and use the fully stated rule rather than an invented personal ability label.