BAC, QRP, EDF, TUS, _____.
The question asks us to identify the pattern in the given letter series and find the missing term.
Identifying the Pattern in the Letter Series
The series is: BAC, QRP, EDF, TUS, _____.
Let's analyze the positional values of the letters in the English alphabet (A=1, B=2, ..., Z=26).
We will examine the pattern for the first, second, and third letters separately.
Analyzing Letter Positions and Differences
Representing each triplet with the corresponding alphabet positions:
| Term | Triplet | Positions (1st, 2nd, 3rd) | Positions as Letters |
|---|---|---|---|
| 1 | BAC | (2, 1, 3) | B $\rightarrow$ 2, A $\rightarrow$ 1, C $\rightarrow$ 3 |
| 2 | QRP | (17, 18, 16) | Q $\rightarrow$ 17, R $\rightarrow$ 18, P $\rightarrow$ 16 |
| 3 | EDF | (5, 4, 6) | E $\rightarrow$ 5, D $\rightarrow$ 4, F $\rightarrow$ 6 |
| 4 | TUS | (20, 21, 19) | T $\rightarrow$ 20, U $\rightarrow$ 21, S $\rightarrow$ 19 |
Pattern in the First Letters
- Positions: 2, 17, 5, 20.
- Differences: $17 - 2 = 15$, $5 - 17 = -12$, $20 - 5 = 15$.
- The pattern is +15, -12, +15. The next difference should be -12.
- Next first letter position: $20 - 12 = 8$. The 8th letter is H.
Pattern in the Second Letters
- Positions: 1, 18, 4, 21.
- Differences: $18 - 1 = 17$, $4 - 18 = -14$, $21 - 4 = 17$.
- The pattern is +17, -14, +17. The next difference should be -14.
- Next second letter position: $21 - 14 = 7$. The 7th letter is G.
Pattern in the Third Letters
- Positions: 3, 16, 6, 19.
- Differences: $16 - 3 = 13$, $6 - 16 = -10$, $19 - 6 = 13$.
- The pattern is +13, -10, +13. The next difference should be -10.
- Next third letter position: $19 - 10 = 9$. The 9th letter is I.
Determining the Missing Term
Based on the identified patterns, the next triplet should have the letters corresponding to positions 8, 7, and 9.
- First letter: 8 $\rightarrow$ H
- Second letter: 7 $\rightarrow$ G
- Third letter: 9 $\rightarrow$ I
Therefore, the missing term is HGI.
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 term that does NOT belong to the following series.
3DT, 7GS, 11PS, 15MQ, 19PP
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
