The question-specific working supplied with the item states: Count the letters of the source word PHOTOGRAPHY and compare them with each option. The word GRAPH can be formed: every letter in GRAPH occurs in PHOTOGRAPHY, and each repeated letter is required no more often than it is available. Matching the letters one by one gives a complete allocation with no borrowed or extra letter, so option A is valid. QUIZ is impossible because it needs 1 occurrence(s) of Q, while PHOTOGRAPHY provides only 0. JAZZ is impossible because it needs 1 occurrence(s) of J, while PHOTOGRAPHY provides only 0. BOX is impossible because it needs 1 occurrence(s) of B, while PHOTOGRAPHY provides only 0. A single missing letter or one excess repetition is sufficient to reject a word; the other matching letters cannot compensate for that shortage. Letter order may change in a formation question, but the inventory of letters cannot. Rechecking the correct word against the source confirms that its length and every individual frequency remain within the available limits. Therefore GRAPH, and only GRAPH among the four choices, can be formed from PHOTOGRAPHY. This working identifies the relevant letter-frequency check and connects the given information to the required result. After applying the verified rule, the required value or position is GRAPH. The alternatives QUIZ, JAZZ and BOX fail because each breaks at least one stated condition, transition, direction or arithmetic step. A plausible-looking option is not sufficient unless it reproduces the complete letter-frequency.
