The position of how many letters will change if each of the letters in the word ‘CORNFLAKES’ is re-arranged in the English alphabetical order from left to right?
- (a)Eight
- (b)Seven
- (c)Nine
- (d)Ten
Answer
Why
Correct — A. Write the word, then its letters in alphabetical order directly underneath.
C O R N F L A K E S
A C E F K L N O R S
Rule: compare the two rows slot by slot and count the slots that differ.
Slot 6 holds L in both rows and slot 10 holds S in both. Every other slot moves: C to A, O to C, R to E, N to F, F to K, A to N, K to O, E to R.
Ten letters with two standing still leaves eight positions changed — option (a).
Why the others are wrong
- (b)Seven — Seven is the count you reach by missing one of the movers. The eight that move are C, O, R, N, F, A, K and E, and only L and S hold their slots.
- (c)Nine — Nine assumes a single letter keeps its place. Both L at slot 6 and S at slot 10 survive the sort, so two are fixed, not one.
- (d)Ten — Ten would mean nothing at all holds its place, but L is the 6th letter of CORNFLAKES and also the 6th letter of the sorted string ACEFKLNORS.
Concept
This item asks for a count, and the reliable method is mechanical. Write the word, write its letters in alphabetical order underneath it, then compare column by column.
A letter stays put only when its rank among the word's own letters equals its position in the word. L is the 6th letter of CORNFLAKES and the 6th smallest of its letters, so it does not move, and the same holds for S at slot 10.
Everything else shifts, so the count of changed positions is 10 - 2 = 8.
SSC asks this both ways round: sometimes how many positions change, sometimes how many stay unchanged. Read the stem twice. The sort is identical and the two answers are complements of each other.
Key facts
- CORNFLAKES has ten letters, all different, and sorts to ACEFKLNORS.
- L occupies slot 6 and S occupies slot 10 in both the word and its sorted form.
- Eight of the ten positions change, which is the keyed count.
Study next
Common traps
- Answering the count of unchanged letters when the stem asked for the changed ones
- Sorting by eye and misplacing K, L and N, which sit close together
- Forgetting that a letter can hold its slot by coincidence, as L does here
The unchanged phrasing appears at 24 Sep 2024, 16:00, Reasoning Q.13 with SIGNATURE and at 25 Sep 2024, 16:00, Reasoning Q.2 with DOWNSIZE. The same single sort answers either wording.
Related PYQs
No directly related past PYQ was found.