B4D, C9I, D16P, ?
To find the missing alphanumeric cluster in the series B4D, C9I, D16P, ?, we need to analyze the pattern for each component: the first letter, the number, and the second letter.
The first letters in the series are B, C, D. This sequence follows the standard alphabetical order.
Following this pattern, the next letter after D is E.
The numbers in the series are 4, 9, 16.
These numbers are perfect squares: $2^2 = 4$, $3^2 = 9$, $4^2 = 16$.
The next number in the sequence is $5^2$, which equals 25.
The second letters are D, I, P.
Let's find their positions in the English alphabet:
Notice that these positions (4, 9, 16) directly correspond to the numbers in the series.
Since the next number is 25, the next letter must be the 25th letter of the alphabet, which is Y.
Combining the next components identified:
The missing alphanumeric cluster is E25Y.
Comparing E25Y with the provided options:
The cluster E25Y matches Option 3.
Select the set that can replace the question marks (?) in the following series.
$\displaystyle \frac{\text{D}}{23} \; \frac{20}{\text{G}} \; \frac{\text{J}}{17} \; \frac{14}{\text{M}} \; \frac{\text{P}}{11} \; \frac{\text{?}}{\text{?}}$
Select the option in which the numbers are related in the same way as are the numbers of the following set.
(4, 8, 16)
Select the option that is related to the third number in the same way as the second number is related to the first number.
23 : 441 : : 28 : ?
Select the option that is related to the third number in the same way as the second number is related to the first number and the sixth number is related to the fifth number.
12 : 72 ∷ 18 : ? ∷22 : 242Select the option that is related to the third number in the same way as the second number is related to the first number.
7 : 56 :: 11 : ?
Select the option in which the numbers are related in the same way as are the numbers of the following set.
(12, 60, 84)