Question Details

How many letter pairs exist in the term "SIGNATURE" which contain the exact same number of letters between them within the word as they do in the standard English alphabetical series (counting in both left-to-right and right-to-left directions)?

Options

A

One

B

Two

C

Four

D

Three

Show Answer

Correct Answer :

Option C

Four

Four

Solution :

The correct answer option is Four.

To find the number of letter pairs in the word SIGNATURE that have the same number of letters between them as in the standard English alphabetical series, we assign positional numbers to each letter from left to right:
S = 19
I = 9
G = 7
N = 14
A = 1
T = 20
U = 21
R = 18
E = 5

Now, let's count the pairs in both forward (left-to-right) and backward (right-to-left) directions:

1. Forward Direction (Left-to-Right):
N (14) and R (18): The difference in position in the word is 18 - 14 = 4. In the English alphabet, between N and R there are 3 letters (O, P, Q), which matches the 3 letters (A, T, U) between them in the word.
A (1) and E (5): The difference in position in the word is 5 - 1 = 4. In the English alphabet, between A and E there are 3 letters (B, C, D), which matches the 3 letters (T, U, R) between them in the word.
T (20) and U (21): The difference in position in the word is 21 - 20 = 1. In the English alphabet, T and U are consecutive (0 letters between them), which matches the word structure.

2. Backward Direction (Right-to-Left):
R (18) and T (20): Counting from R towards the left to T, the difference in position is 20 - 18 = 2. In the English alphabet, between R and T there is 1 letter (S), which matches the 1 letter (U) between them in the word.

Thus, there are a total of 4 such letter pairs: N-R, A-E, T-U, and R-T.

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