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: ?
- AGTDQR
- BGTERS
- CGDTRQ
- DGETSR
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.
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.