Given the sequence of terms, AD CG FK JP, the next term is
OV
Sequence Analysis: Decoding the Letter Pattern
The question asks us to identify the next term in the given sequence of letter pairs: AD, CG, FK, JP. To solve this type of letter series problem, we need to find the underlying pattern in how the letters change from one term to the next. We will analyze the first letter of each pair and the second letter of each pair separately to discover their individual progression rules.
Letter Positions in the Alphabet
To understand the patterns, it's helpful to know the standard alphabetical position of each letter. Here is a quick reference:
| Letter | Position | Letter | Position | Letter | Position |
|---|---|---|---|---|---|
| A | 1 | J | 10 | S | 19 |
| B | 2 | K | 11 | T | 20 |
| C | 3 | L | 12 | U | 21 |
| D | 4 | M | 13 | V | 22 |
| E | 5 | N | 14 | W | 23 |
| F | 6 | O | 15 | X | 24 |
| G | 7 | P | 16 | Y | 25 |
| H | 8 | Q | 17 | Z | 26 |
| I | 9 | R | 18 |
First Letter Pattern in the Series
Let's look at the first letters of each term in the given sequence: A, C, F, J. We will find their alphabetical positions and calculate the difference between consecutive letters.
| Term | First Letter | Alphabetical Position | Difference from Previous |
|---|---|---|---|
| AD | A | $\text{1}$ | - |
| CG | C | $\text{3}$ | $\text{3} - \text{1} = \text{+2}$ |
| FK | F | $\text{6}$ | $\text{6} - \text{3} = \text{+3}$ |
| JP | J | $\text{10}$ | $\text{10} - \text{6} = \text{+4}$ |
We can observe a clear pattern in the differences for the first letters: $\text{+2}$, $\text{+3}$, $\text{+4}$. This indicates an arithmetic progression where the difference increases by 1 each time. Following this logic, the next difference should be $\text{+5}$.
- The last first letter in the sequence is J, which is at position $\text{10}$.
- To find the next first letter, we add the predicted difference: $\text{10} + \text{5} = \text{15}$.
- The letter at alphabetical position $\text{15}$ is O.
Second Letter Pattern in the Series
Next, let's analyze the second letters of each term in the sequence: D, G, K, P. We will again find their alphabetical positions and the differences between them.
| Term | Second Letter | Alphabetical Position | Difference from Previous |
|---|---|---|---|
| AD | D | $\text{4}$ | - |
| CG | G | $\text{7}$ | $\text{7} - \text{4} = \text{+3}$ |
| FK | K | $\text{11}$ | $\text{11} - \text{7} = \text{+4}$ |
| JP | P | $\text{16}$ | $\text{16} - \text{11} = \text{+5}$ |
Similar to the first letters, we see a pattern in the differences for the second letters: $\text{+3}$, $\text{+4}$, $\text{+5}$. This also follows an arithmetic progression where the difference increases by 1 each time. Therefore, the next difference should be $\text{+6}$.
- The last second letter in the sequence is P, which is at position $\text{16}$.
- To find the next second letter, we add the predicted difference: $\text{16} + \text{6} = \text{22}$.
- The letter at alphabetical position $\text{22}$ is V.
Next Term Calculation
By combining the next predicted first letter and the next predicted second letter, we can form the complete next term in the sequence.
- The next first letter is O.
- The next second letter is V.
Therefore, the next term in the sequence AD, CG, FK, JP is OV.
Important Questions from Critical Reasoning
Directions: A statement is given followed by two inferences I and II. You have to consider the statement to be true even if it seems to be at variance with commonly known facts. You have to decide which of the given inferences, if any, follow from the given statement.
Statement: Many students are addicted to mobile games and this leads to poor academic performance.
Inference:
I. Many Students are not paying attention to studies due to mobile games.
II. It is only because of mobile games that students fail in the examination.
'Little knowledge is a dangerous thing' is a decision based on:
It is better to spend the leftovers after saving. Financial discipline and self-control can make you rich. Saving money after spending is not a good habit. Which among the following statements is true as per the statement?
A. If you spend first then you will be spendy.
B. If you save before spending, you will become rich.
C. If you spend before saving, you will be poor.
D. Saving by borrowing is a bad habit.
Which of the following is the assumption for the claim that 'Pleasure is desirable'?
Read the given statements carefully and answer the questions.
Fear of danger is more dangerous than danger itself. Risk is directly proportional= to danger
Which of the following are true according to the given statements?
A. Fear is worse than any fearful threat.
B. There is a trade-off between risk and danger.
C. There should be fear of danger.
D. There is no need to take risks to overcome any danger.
