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Question

Select the term from the given options that can replace the question mark (?) in the given series to make it logically complete.

BP 74, ?, FT 64, HV 59, JX 54

The correct answer is

DR 69

The given question presents a series of terms, each consisting of two letters followed by a number. We need to find the missing term in the series: BP 74, ?, FT 64, HV 59, JX 54.

To solve this, we will analyze the pattern of the letters and the numbers separately.

Analyzing the Letter Pattern in the Series

Let's examine the first letters of each term: B, ?, F, H, J.

We can find the alphabetical position of each letter:

  • B is the 2nd letter.
  • F is the 6th letter.
  • H is the 8th letter.
  • J is the 10th letter.

Let's look at the sequence of positions: 2, ?, 6, 8, 10.

We can see a pattern for the known terms after the question mark: 6, 8, 10. The difference between consecutive positions is $+2$ ($8-6=2$, $10-8=2$).

Assuming this pattern of adding 2 continues backward in the series:

  • The position before 6 should be $6 - 2 = 4$.
  • The position before 4 should be $4 - 2 = 2$.

This fits the first known letter 'B', which is at position 2. So the sequence of first letter positions is likely 2, 4, 6, 8, 10.

The letter at the 4th position in the alphabet is D.

Now let's examine the second letters of each term: P, ?, T, V, X.

Let's find the alphabetical position of each letter:

  • P is the 16th letter.
  • T is the 20th letter.
  • V is the 22nd letter.
  • X is the 24th letter.

Let's look at the sequence of positions: 16, ?, 20, 22, 24.

We can see a pattern for the known terms after the question mark: 20, 22, 24. The difference between consecutive positions is $+2$ ($22-20=2$, $24-22=2$).

Assuming this pattern of adding 2 continues backward in the series:

  • The position before 20 should be $20 - 2 = 18$.
  • The position before 18 should be $18 - 2 = 16$.

This fits the first known letter 'P', which is at position 16. So the sequence of second letter positions is likely 16, 18, 20, 22, 24.

The letter at the 18th position in the alphabet is R.

Combining the letters, the letter part of the missing term is DR.

Analyzing the Number Pattern in the Series

Now let's examine the numbers in each term: 74, ?, 64, 59, 54.

Let's find the difference between consecutive known numbers starting from the end of the series:

  • Difference between 59 and 54: $59 - 54 = 5$.
  • Difference between 64 and 59: $64 - 59 = 5$.

This shows a consistent pattern where each number is 5 less than the previous number.

Assuming this pattern continues backward:

  • The number before 64 should be $64 + 5 = 69$.
  • The number before 69 should be $69 + 5 = 74$.

This fits the first known number '74'. So the sequence of numbers is 74, 69, 64, 59, 54.

The number in the missing term is 69.

Finding the Missing Term

By combining the letter pattern and the number pattern, the missing term consists of the letters DR and the number 69.

Therefore, the missing term is DR 69.

Verification of the Series Pattern

Let's check the complete series with the found term:

BP 74, DR 69, FT 64, HV 59, JX 54

Let's verify the patterns:

  • First Letter Pattern: B(2) → D(4) → F(6) → H(8) → J(10). The pattern is $+2$ in alphabetical position for each consecutive term. This holds true.
  • Second Letter Pattern: P(16) → R(18) → T(20) → V(22) → X(24). The pattern is $+2$ in alphabetical position for each consecutive term. This holds true.
  • Number Pattern: 74 → 69 → 64 → 59 → 54. The pattern is $-5$ for each consecutive term ($74-5=69$, $69-5=64$, $64-5=59$, $59-5=54$). This holds true.

All patterns are consistent throughout the series when DR 69 is inserted.

Comparing with Options

Let's compare our found term DR 69 with the given options:

  • Option 1: CS 70 - Does not match.
  • Option 2: DR 69 - Matches our found term.
  • Option 3: ET 68 - Does not match.
  • Option 4: ES 70 - Does not match.

Thus, the term that replaces the question mark is DR 69.

Revision Table: Series Pattern Analysis

Term First Letter Second Letter Number
BP 74 B (2) P (16) 74
? D (4) (+2 from B) R (18) (+2 from P) 69 (-5 from 74)
FT 64 F (6) (+2 from D) T (20) (+2 from R) 64 (-5 from 69)
HV 59 H (8) (+2 from F) V (22) (+2 from T) 59 (-5 from 64)
JX 54 J (10) (+2 from H) X (24) (+2 from V) 54 (-5 from 59)

Additional Information on Logical Reasoning Series

Logical reasoning series questions often involve finding patterns in sequences of numbers, letters, or a combination of both. These patterns can be based on simple arithmetic operations (addition, subtraction, multiplication, division), alphabetical position, skipping letters, or a combination of multiple rules applied simultaneously to different parts of the term (like letters and numbers). To solve such questions, it's crucial to break down the series into its components and analyze each component's pattern independently. Look for differences, ratios, or positional shifts. Identifying the pattern in the known terms helps predict the missing term.

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Important Questions from Mixed Series

  1. Select the set of letters that when sequentially placed in the blanks of the given letter series will complete the series.

    P_rsqrps_pqs_qr_qrps_p_s
  2. A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.

    GAR, AXS, UUT, ORU, ?

  3. Select the option that represents the letters that, when sequentially placed from left to right in the blanks below, will complete the letter series.

    PRKY_LDP_ _YOLD_RKYO_DPRK_ _LD  

  4. Select the option that represents the letters that, when sequentially placed from left to right in the blanks below, will complete the letter series.

    C _ _ SRCNP _ _ _ N _ SRC _ PS _

  5. Select the option that represents the letters that, when placed from left to right in the blanks, will complete the letter series.

    _B_T F H B N_F I_N T F_B N T F

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