Choose the missing term out of the given alternatives:
E4, G9, J25, 049, V121, ?, T289
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → G169
Let’s observe the pattern carefully.
Number pattern
The numbers are perfect squares of consecutive prime numbers:
- $4 = 2^2$
- $9 = 3^2$
- $25 = 5^2$
- $49 = 7^2$
- $121 = 11^2$
- $? = 13^2 = 169$
- $289 = 17^2$
So the missing number is 169.
Letter pattern
Letter positions in the alphabet:
- E = 5
- G = 7
- J = 10
- O = 15
- V = 22
The jumps are:
+2, +3, +5, +7, +11, +13
From V (22) + 11 = 33, wrapping around the alphabet:
33 − 26 = 7 → G
So the missing letter is G.
Final Answer: The missing term is G169.