The position of how many letters will remain unchanged if all the letters in the word RICKET are arranged in English alphabetical order?
- (a)One
- (b)None
- (c)Three
- (d)Two
Answer
Why
Correct — D. Write the two rows one above the other and read down the columns.
Original: R I C K E T
Sorted: C E I K R T
Rule: a letter counts only if it occupies the same numbered slot in both rows.
Slot 4 holds K in both rows and slot 6 holds T in both. R, I, C and E all move.
That is two unchanged positions, which is option (d).
Why the others are wrong
- (a)One — One is the score if you spot K in slot 4 and stop. T holds slot 6 as well, because it is both the last letter of RICKET and the last of its letters alphabetically.
- (b)None — None would require every letter to move. K and T do not, so the rearrangement is not a complete displacement.
- (c)Three — Three counts a letter that in fact shifts — E moves from slot 5 to slot 2 and I from slot 2 to slot 3, leaving only K and T fixed.
Concept
These items ask for the fixed points of a rearrangement, and the method never varies: write the word, write its letters in alphabetical order underneath, compare slot by slot.
One shortcut is worth carrying. A letter lands in slot n after sorting exactly when n − 1 of the word's letters come before it in the alphabet. K in RICKET has C, E and I before it, so it belongs in slot 4 — which is where it already sits.
SSC prints the answer in words here — One, None, Three, Two — so the option list gives no numeric ordering to lean on.
Key facts
- RICKET in alphabetical order is C, E, I, K, R, T.
- K stays in slot 4 and T stays in slot 6, while R, I, C and E all move.
- A letter occupies slot n after sorting exactly when n − 1 of the word's letters precede it alphabetically.
Study next
Common traps
- Sorting correctly and then comparing the rows letter by letter instead of slot by slot
- In a word with a repeated letter, checking only the first copy
- Answering with the number of letters that moved
The stem runs with 'all the letters' and with 'each of the letters' and the answer is always given in words: BINDER at 12 Sep 2024, 09:00, Reasoning Q.1 is keyed Two, and JEALOUS at 11 Sep 2024, 12:30, Reasoning Q.1 is keyed Three.
Related PYQs
No directly related past PYQ was found.