How many pairs of letters are there in the given word such that there are as many letters between them as there are in the English alphabet? PARCEL
Two
Finding Letter Pairs in the word PARCEL
The purpose of this question is to identify the pairs of letters in the word 'PARCEL' that have the same number of letters between them as there are in the English alphabet.
Alphabet and Word Positions
The alphabet position (A=1) and their position (index) in the word 'PARCEL' are given below:
- P: Alphabet=16, Word=0
- A: Alphabet=1, Word=1
- R: Alphabet=18, Word=2
- C: Alphabet=3, Word=3
- E: Alphabet=5, Word=4
- L: Alphabet=12, Word=5
Condition for Equal Letter Difference
A pair $(X, Y)$ is valid if the number of letters between them is the same in the word and in the alphabet. Mathematically, this occurs when the absolute difference between the alphabet positions is equal to the absolute difference between the word positions:
$ | \text{Alphabet Position}(X) - \text{Alphabet Position}(Y) | = | \text{Word Position}(X) - \text{Word Position}(Y) | $
Counting Valid Pairs
Let's check the possible pairs using this condition:
- Pair (P, R):
- Alphabet Difference: $|16 - 18| = 2$
- Word Difference: $|0 - 2| = 2$
- Result: Matches.
- Pair (A, C):
- Alphabet Difference: $|1 - 3| = 2$
- Word Difference: $|1 - 3| = 2$
- Result: Matches.
For all other possible pairs (like P and A, P and C, A and R, etc.), the differences in positions in the alphabet and the word are not the same, so they are not valid pairs.
Final Answer
There are a total of two such pairs in the word 'PARCEL' (P, R and A, C) that have the same number of letters between them as they do in the English alphabet.
Important Questions from Alphabet or Word Test (Notes)
- Arrange the given words in the sequence in which they occur in the dictionary:
(A). SEARCH
(B). SEWAGE
(C.) SECURE
(D). SETTLE
Choose the correct answer from the options given below: Refer to the following letter series and answer the question.
(Left) C H T M L K N B P G Q D V W R A X Z F Y E S (Right)
How many unique vowels are there in the above series? (Each vowel counted only once regardless of repetition.)- Find the next term in given series.
CONSERVATION, SERVAT, ONSERVATIO, ERVA, ? This question is based on the following words.
(Left) ONE TWO BEN MUG (Right)
If 'C' is added before each word, which of these words will form meaningful English word(s)?
This question is based on the following words.
PAN YEW CRY URN
How many letters are there in the English alphabetical order between the second letter of the second word from the right and the third letter of the second word from the left?
