A5, F11, K24, P51, T105, Z217
Letter Pattern Analysis
Examine the position of the letters in the alphabet for each term:
- A is the 1st letter.
- F is the 6th letter (Position difference: 6 - 1 = 5).
- K is the 11th letter (Position difference: 11 - 6 = 5).
- P is the 16th letter (Position difference: 16 - 11 = 5).
- T is the 20th letter (Position difference: 20 - 16 = 4).
- Z is the 26th letter (Position difference: 26 - 20 = 6).
A consistent pattern of adding 5 to the letter's position is observed for A, F, K, and P. The sequence ideally should continue with U (21st letter, 16 + 5). The letter T (20th) in T105 deviates from this +5 progression.
Number Pattern Analysis
Analyze the numerical part of each term. Let $N_i$ be the number in the $i$-th term. The pattern observed is $N_{i+1} = N_i \times 2 + k$, where $k$ increments starting from 1.
| Term | Letter (Pos) | Number | Number Pattern Check | Analysis |
|---|---|---|---|---|
| A5 | A (1) | 5 | - | Base term. |
| F11 | F (6) (+5) | 11 | $5 \times 2 + 1 = 11$ | Follows pattern. |
| K24 | K (11) (+5) | 24 | $11 \times 2 + 2 = 24$ | Follows pattern. |
| P51 | P (16) (+5) | 51 | $24 \times 2 + 3 = 51$ | Follows pattern. |
| T105 | T (20) (+4) | 105 | Expected: $51 \times 2 + 4 = 106$ | Deviation: The number 105 is incorrect. It should be 106 based on the pattern. |
| Z217 | Z (26) (+6) | 217 | Expected if prev num was 106: $106 \times 2 + 5 = 217$ | The number 217 correctly follows the pattern if the previous term's number was 106. |
Identifying the Term That Does Not Belong
The term T105 does not belong to the series because both its letter and number components deviate from the established patterns:
- Letter Deviation: The letter T (20th) breaks the +5 alphabetical progression seen in earlier terms (A, F, K, P).
- Number Deviation: The number 105 is incorrect according to the rule $N_{i+1} = N_i \times 2 + k$. The expected number was 106.
While the letter Z in Z217 follows a different increment (+6 from T), the number 217 aligns with the pattern if the preceding number was corrected. T105 is the primary outlier due to its incorrect number and its letter breaking the initial consistent pattern.
Similar Questions
Select the number from among the given options that will come next in the following series.
$20, 40, 63, 90, 122,$ _____
- In the following triads, each group of letters is related to the subsequent one following a certain logic. Select from the given options, the one which follows the same logic.
LUNG - UNLG - GNUL
FERN - ERFN - NREF - What should come in place of the question mark (?) in the given series based on the English alphabetical order?
RXY TTV ? XLP ZHM - In the following triads, each group of letters is related to the subsequent one following a certain logic. Select from the given options, the one which follows the same logic.
POST - OPST - PSTO
LITE - ILTE - LTEI - Which of the following letter-number clusters will replace the question mark (?) in the given series to make it logically complete?
DKR 79, HOV 73, LSZ 67, PWD 61, TAH 55, ? - Identify the term that does NOT belong to the following series.
2T3, 5S6, 11R9, 16Q12, 23P15 - Without assuming anything beyond the information given, select the correct nature of relationship between the two events A and B. Event A: The teacher gave Zara severe punishment. Event B: Zara's parents have spoilt her.
- Identify the series that is different from the rest.
- Select the term that does NOT belong to the following series.
3DT, 7GS, 11PS, 15MQ, 19PP - Select the option that will fill in the blank and complete the series correctly.
BAC, QRP, EDF, TUS, _____.
Important Questions from Series
Select the option figure in which the given figure (X) is embedded (rotation is NOT allowed).
Identify the figure given in the options which when put in place of ? will logically complete the series.
When is a series of terms said to be in the order of increasing extension?
(A) When each term in the series (except the first) denotes a class having more members than a class denoted by the term preceding it.
(B) When the class size gets larger with each successive term.
(C) When each term in the series (except the first) denotes a class having fewer members than the class denoted by the term preceding it.
(D) When the class size gets smaller with each successive term
Choose the most appropriate answer from the options given below :
In the following question, select the missing number from the given series.
5, 10, 17, 26, 37, ?, 65
In the following question, select the missing number from the given series.
5, 10, 17, 26, 37, ?, 65
