3DT, 7GS, 11PS, 15MQ, 19PP
Series Pattern Recognition: Finding the Odd Term
The question asks to identify the term that does not follow the established pattern in the series: 3DT, 7GS, 11PS, 15MQ, 19PP.
Pattern Analysis
The series consists of terms containing a number followed by two letters. We need to analyze the patterns within the numbers and the letters.
Number Pattern
Observe the sequence of numbers:
- 3
- 7 (+4 from previous)
- 11 (+4 from previous)
- 15 (+4 from previous)
- 19 (+4 from previous)
The numbers form an arithmetic progression with a common difference of 4. This pattern applies consistently to all terms.
Letter Pattern
Let's find the sum of the alphabet positions (A=1, B=2, ...) for the two letters in each term:
| Term | Number | Letters | Letter Positions | Sum of Positions |
|---|---|---|---|---|
| 1 | 3 | DT | D(4) + T(20) | 24 |
| 2 | 7 | GS | G(7) + S(19) | 26 |
| 3 | 11 | PS | P(16) + S(19) | 35 |
| 4 | 15 | MQ | M(13) + Q(17) | 30 |
| 5 | 19 | PP | P(16) + P(16) | 32 |
Identifying the Outlier
The sequence of sums of letter positions is [24, 26, 35, 30, 32].
Now, let's examine the differences between consecutive sums:
- Term 2 Sum - Term 1 Sum = 26 - 24 = 2
- Term 4 Sum - Term 2 Sum = 30 - 26 = 4
- Term 5 Sum - Term 4 Sum = 32 - 30 = 2
The sums for terms 1, 2, 4, and 5 follow a pattern of differences: +2, +4, +2. The sum for term 3 (11PS) is 35, which does not fit this pattern.
If the pattern held, the sum for the 3rd term should be 26 + 4 = 30 (not 35). Or, if we assume the sequence of sums is intended to be strictly +2, +4, +2, +4... then 24, 26, 30, 32, 36. In this case, 35 is the outlier.
Therefore, the term 11PS does not belong to the series.
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.
A5, F11, K24, P51, T105, Z217 - 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 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
