Which of the following letter-clusters should replace # and % so that the pattern and
relationship followed between the letter-cluster pair on the left side of :: is the same as
that on the right side of :: ?
# : GJE :: SVQ : %11877

The correct option is # = ILG, % = QTO.

Step-by-Step Explanation:

The given analogy is of the form:

# : GJE :: SVQ : %

We need to find the values of # and % such that the relationship between the letter-clusters on the left side of :: is identical to the relationship between the letter-clusters on the right side.

Let's substitute # = ILG and % = QTO into the analogy and analyze the pattern of alphabetical positions for each letter.

1. First Pair (# : GJE ⇒ ILG : GJE):

Convert the letters of the first cluster (ILG) to their corresponding positions in the English alphabet:

I = 9, L = 12, G = 7

Convert the letters of the second cluster (GJE) to their corresponding positions:

G = 7, J = 10, E = 5

Now, compare the positions of corresponding letters:

First letter: I (9) - 2 = G (7)

Second letter: L (12) - 2 = J (10)

Third letter: G (7) - 2 = E (5)

The pattern for the left pair is subtracting 2 from the positional value of each letter (-2, -2, -2).

2. Second Pair (SVQ : % ⇒ SVQ : QTO):

Convert the letters of the first cluster (SVQ) to their corresponding positions in the English alphabet:

S = 19, V = 22, Q = 17

Convert the letters of the second cluster (QTO) to their corresponding positions:

Q = 17, T = 20, O = 15

Now, compare the positions of corresponding letters:

First letter: S (19) - 2 = Q (17)

Second letter: V (22) - 2 = T (20)

Third letter: Q (17) - 2 = O (15)

The pattern for the right pair is also subtracting 2 from the positional value of each letter (-2, -2, -2).

Since both sides follow the exact same rule, replacing # with ILG and % with QTO satisfies the analogy.