Each of the letters in the word ‘KEYBOARD’ are arranged in the English alphabetical order. How many letters are in the English alphabetical order between the letter which is the third from the right end and the second from the right end in the group of letters thus formed?
- (a)Four
- (b)Three
- (c)One
- (d)Two
Answer
Why
Correct — D. Sort the letters, then index from the end the question names.
KEYBOARD in alphabetical order: A B D E K O R Y
Counting from the right end: Y is first, R is second, O is third.
So the two letters wanted are O (third from the right) and R (second from the right).
Rule: 'between' excludes both named letters.
Between O and R in the alphabet lie P and Q — two letters -> option (d).
Why the others are wrong
- (a)Four — Four is the inclusive count: O, P, Q, R. 'Between' leaves out the two named letters, so only P and Q are counted.
- (b)Three — Three is the gap between K and O, which are the fourth and third letters from the right. Counting from the right, Y is first, R is second and O is third.
- (c)One — One is the answer when you count from the left end: third from the left is D and second from the left is B, with only C between them.
Concept
The question is two instructions welded together, and the marks are lost on the second.
Rearranging KEYBOARD alphabetically is the easy half. Indexing from a stated end and then counting between two letters is the half that goes wrong.
'Between' excludes both endpoints, so O and R are not counted — P and Q are. Read the direction twice as well: 'third from the right end' is not 'third letter', and in an eight-letter string those are different letters.
KEYBOARD has eight distinct letters, so nothing has to be dropped as a duplicate before sorting.
Key facts
- KEYBOARD sorted alphabetically is A B D E K O R Y.
- Read from the right, that string runs Y, R, O, K, E, D, B, A.
- P and Q are the letters lying between O and R, so the count is two.
Study next
Common traps
- Counting from the left when the question says 'from the right end'.
- Including the two named letters, which turns two into four.
- Sorting the word and then indexing the original spelling by mistake.
Write the sorted string once, then write the right-to-left index above it. Both halves of the question are then read off rather than recomputed.
Alphabet positions also drive Reasoning Q.1 and Q.11 in this shift (19 Sep 2024, 09:00).
Related PYQs
No directly related past PYQ was found.