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Select the option that is related to the third term in the same way as the second term is related to the first term.
TRACK: MFFYE :: GLOBE: ?

  1. A
    GTDQR
  2. B
    GTERS
  3. C
    GDTRQ
  4. D
    GETSR

Solution & Step-by-step Explanation

Let's find the pattern between TRACK and MFFYE by looking at the transformations from the last letter to the first or vice versa:
Let's reverse the first word TRACK → KCART
Now apply shifts to KCART to get MFFYE:

K
+2


M

C
+3


F

A
+5


F

R
+7


Y

T
+11


E (T is 20, 20+11=31≡5, which is E)

The logic is: Reverse the word, then add consecutive prime numbers (+2,+3,+5,+7,+11).

Applying this to GLOBE:

Reverse GLOBE → EBOLE

Add consecutive prime numbers:

E(5)+2=7→G

B(2)+3=5→E

O(15)+5=20→T

L(12)+7=19→S

E(5)+11=16→P ... wait, let's recheck options. No P at the end.

Let's test alternative shifting direct position:
T (20) to M (13) →−7
R (18) to F (6) →−12
No, let's check:
T(20) + 11 = E(5) (Last letter)
R(18) + 7 = Y(25)
A(1) + 5 = F(6)
C(3) + 3 = F(6)
K(11) + 2 = M(13)

Yes, the first letter of TRACK + 11 gives the last letter of MFFYE.
Let's apply this directly from first to last on GLOBE:

G (7)+2=9(I)… No.
Let's re-verify the shifts in order from first to last:

T (20)
+11


E (5)

R (18)
+7


Y (25)

A (1)
+5


F (6)

C (3)
+3


F (6)

K (11)
+2


M (13)

So the operation on positions [1,2,3,4,5] is +11,+7,+5,+3,+2 (primes in descending order) resulting in the word written from right to left (reversed order).
Let's apply to GLOBE:

G (7)+11=18→R (Last letter)

L (12)+7=19→S (4th letter)

O (15)+5=20→T (3rd letter)

B (2)+3=5→E (2nd letter)

E (5)+2=7→G (1st letter)

The resulting word is GETSR.

Practice this question

Try it yourself before checking the explanation above.

Select the option that is related to the third term in the same way as the second term is related to the first term.
TRACK: MFFYE :: GLOBE: ?
A
GTDQR
B
GTERS
C
GDTRQ
D
GETSR

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