The position of how many letters will remain unchanged if each of the letters in the word ‘SIGNATURE’ is re-arranged in the English alphabetical order from left to right?
- (a)One
- (b)Two
- (c)Four
- (d)Three
Answer
Why
Correct — A. Write the word above its sorted form and compare position by position.
Word: S I G N A T U R E
Sorted: A E G I N R S T U
Position 3 carries G in both rows. Every other position moves: S becomes A, I becomes E, N becomes I, A becomes N, T becomes R, U becomes S, R becomes T and E becomes U.
That is one unchanged position — option (a).
Why the others are wrong
- (b)Two — Only position 3 agrees. Check position 4, the nearest candidate: the word has N there while the sorted form has I.
- (c)Four — Four would need most of the front of the word already in order. SIGNATURE opens with S, which is seventh in its own sorted list, so the opening cannot hold.
- (d)Three — Sorting moves every letter except G. Positions 6, 7 and 8 carry T, U, R against R, S, T, and none of those three agrees.
Concept
The question is mechanical: sort the letters, then compare the two strings position by position.
SIGNATURE sorts to A E G I N R S T U. All nine letters are distinct, so there is exactly one sorted order and no tie-breaking to think about.
The comparison is where marks are lost. Write the two strings one directly above the other rather than checking from memory — a letter that turns up somewhere in the sorted word is easy to score as unchanged when its position has in fact moved.
SSC also prints the mirror version of this stem, asking how many positions will change. The two answers add up to the length of the word, so read the question wording before counting.
Key facts
- SIGNATURE sorted alphabetically is A E G I N R S T U.
- G stands at position 3 in both the word and its sorted form.
- All nine letters of SIGNATURE are distinct, so the sorted order is unique.
- The count asked for is of positions holding the same letter, not of letters still present in the word.
Study next
Common traps
- Sorting correctly and then comparing against a mis-copied version of the word
- Scoring a letter as unchanged because it appears in both strings rather than in the same position
- Dropping a letter while sorting, which shifts every position after it
The same stem is reused with a different word: 09 Sep 2024, 09:00, Reasoning Q.7 uses NIGHTMARES and keys Four, and 25 Sep 2024, 16:00, Reasoning Q.2 uses DOWNSIZE and keys Two. The inverted version, asking how many positions change, is used at 25 Sep 2024, 09:00, Reasoning Q.17 with CORNFLAKES.
Related PYQs
No directly related past PYQ was found.