SSC CHSL Tier 1 2024 General Intelligence & Reasoning Questions with Solutions

Explanation

The series follows a consistent addition pattern for each letter position in the consecutive clusters.

The first letter of each cluster increases by 2 in alphabetical position: P (16) + 2 = R (18), R (18) + 2 = T (20), T (20) + 2 = V (22), and V (22) + 2 = X (24).

The second letter of each cluster increases by 3 in alphabetical position: Q (17) + 3 = T (20), T (20) + 3 = W (23), W (23) + 3 = Z (26), and Z (26) + 3 = C (29, which cycles to 3).

The third letter of each cluster increases by 4 in alphabetical position: R (18) + 4 = V (22), V (22) + 4 = Z (26), Z (26) + 4 = D (30, which cycles to 4), and D (4) + 4 = H (8).

Applying this systematic progression to the last given cluster VZD yields the next logical cluster XCH.

Explanation

The 7th day of the month is 3 days earlier than Friday. Subtracting 3 days from Friday gives Tuesday. Therefore, the 7th day of the month is Tuesday.

To find the day on the 20th of the month, we calculate the difference in days: 20 - 7 = 13 days

Since 13 days is equal to 1 week and 6 odd days, we add 6 days to Tuesday, which gives Monday. Alternatively, adding 14 days (2 weeks) to the 7th day of the month (Tuesday) means the 21st day of the month is also Tuesday, which makes the 20th day of the month Monday.

Explanation

By decoding the letter symbols to their respective mathematical operators, we have: A stands for / (division) B stands for × (multiplication) C stands for + (addition) D stands for - (subtraction)

Substituting these operators into the given equation: 44 × 5 + 68 - 144 / 4

Applying the BODMAS rule, first perform the division: 144 / 4 = 36

Next, perform the multiplication: 44 × 5 = 220

Now, perform the addition and subtraction: 220 + 68 - 36 = 288 - 36 = 252

Explanation

By converting the letters of each term into their corresponding alphabetical positions where A = 1, B = 2, and so on up to Z = 26, a consistent pattern of adding 5 to each position is observed from one term to the next.

For the first letter of each term, the sequence of positions is Y (25), D (4), I (9), and N (14). Adding 5 to the position of N (14 + 5 = 19) gives the letter S.

For the second letter of each term, the sequence of positions is A (1), F (6), K (11), and P (16). Adding 5 to the position of P (16 + 5 = 21) gives the letter U.

For the third letter of each term, the sequence of positions is U (21), Z (26), E (5), and J (10). Adding 5 to the position of J (10 + 5 = 15) gives the letter O.

Combining these three letters results in the term SUO.

Explanation

The relationship between the numbers in each set is defined by the formula where the sum of the squares of the first two numbers equals the third number:

First Number² + Second Number² = Third Number

For the first set (5, 7, 74): 5² + 7² = 25 + 49 = 74

For the second set (6, 4, 52): 6² + 4² = 36 + 16 = 52

Applying this same relationship to the set (11, 5, 146): 11² + 5² = 121 + 25 = 146

Explanation

We analyze the given statements using set relationships.

The statement that all shirts are pants means the set of shirts is entirely contained within the set of pants. The statement that some dresses are pants means there is an intersection between the set of dresses and the set of pants, but this intersection does not have to overlap with shirts. The statement that some pants are ties means there is an intersection between the set of pants and the set of ties, but this intersection does not have to overlap with either shirts or dresses.

Conclusion I states that some dresses are ties. Since there is no relation established between dresses and ties, this conclusion does not logically follow.

Conclusion II states that some ties are shirts. While all shirts are pants and some pants are ties, the part of pants that overlaps with ties is not guaranteed to overlap with shirts. Therefore, this conclusion also does not logically follow.

Explanation

To find the relationship between D and H, we decode the expression D E F # G @ H step by step:

D E means D is the wife of E, which means D is female and E is male. E F means E is the father of F. F # G means F is the sister of G. G @ H means G is the brother of H.

Since G is the brother of H and F is the sister of G, F, G, and H are siblings. Since E is the father of F, E is also the father of H. Because D is the wife of E, D is the mother of H.

Explanation

The relationship in the pair Problem: Solution is one of a challenging state and its resolution. A problem is resolved or settled by a solution. Similarly, the pair Lost: Found represents a state of being misplaced or missing and its successful resolution of being recovered or located. Both word-pairs function as opposite states where the second word directly resolves the condition described by the first word.

Explanation

By comparing the two coded statements, the word common to both 'love to god' and 'god bless you' is 'god'. Similarly, the only code common to both 'xr od yk' and 'tc ap od' is 'od'. Therefore, 'god' is coded as 'od'.

Explanation

The given relationships follow a specific pattern for both the letters and the numbers.

For the letters, each letter shifts forward by three positions in the alphabetical order: In the first pair, H (8) + 3 = K (11) and F (6) + 3 = I (9). In the second pair, R (18) + 3 = U (21) and P (16) + 3 = S (19).

For the numbers, the number in the first term is divided by 2 to get the number in the second term: In the first pair, 16 ÷ 2 = 8. In the second pair, 10 ÷ 2 = 5.

Applying this same logic to NL 6: For the first letter, N (14) + 3 = Q (17). For the second letter, L (12) + 3 = O (15). For the number, 6 ÷ 2 = 3.

Combining these results gives QO 3.

Explanation

The given sequence is an arithmetic progression where each successive term is obtained by subtracting 100 from the preceding term.

3977 - 100 = 3877 3877 - 100 = 3777 3777 - 100 = 3677 3677 - 100 = 3577

Following this constant difference of -100, the next term in the series is:

3577 - 100 = 3477

Explanation

The relationship between the given pair of words, Honest and Corrupt, is antonymous, as they are direct opposites in meaning. Similarly, Strong and Fragile share the exact same relationship of antonyms, where strong represents power and durability, while fragile represents weakness and vulnerability to breakage.

Explanation

By comparing the two coded statements: 'no way out' is written as 'rp ab lm' 'out of house' is written as 'mr rp bd'

The word 'out' is the only common word between the two statements. Correspondingly, the code 'rp' is the only common code between the two coded representations. Therefore, the code for 'out' is 'rp'.

Explanation

From the given statements, all pens are tables and all tables are glasses, which directly implies that all pens are glasses. Since all pens are glasses, it logically follows that some pens are glasses, making conclusion II correct.

Additionally, since some bottles are pens and all pens are glasses, the bottles that are pens must also be glasses. This confirms that there is an intersection between glasses and bottles, meaning some glasses are bottles, which makes conclusion I correct.

Explanation

The coding scheme follows the formula: Code = 29 × (Number of Consonants) - (Sum of alphabetical positions of all letters) + 4

For INDULGE: Consonants: N, D, L, G (Number of consonants = 4) Positional values: I = 9, N = 14, D = 4, U = 21, L = 12, G = 7, E = 5 Total sum of positions = 9 + 14 + 4 + 21 + 12 + 7 + 5 = 72 Code = 29 × 4 - 72 + 4 = 116 - 72 + 4 = 48

For PURGE: Consonants: P, R, G (Number of consonants = 3) Positional values: P = 16, U = 21, R = 18, G = 7, E = 5 Total sum of positions = 16 + 21 + 18 + 7 + 5 = 67 Code = 29 × 3 - 67 + 4 = 87 - 67 + 4 = 24

For PUNY: Consonants: P, N, Y (Number of consonants = 3) Positional values: P = 16, U = 21, N = 14, Y = 25 Total sum of positions = 16 + 21 + 14 + 25 = 76 Code = 29 × 3 - 76 + 4 = 87 - 76 + 4 = 15

Explanation

In the expression A × B - C + D + E:

A × B means A is the father of B.

B - C means B is the brother of C. Since A is the father of B, A is also the father of C.

C + D means C is the mother of D. This establishes that C is female, which makes C the daughter of A.

D + E means D is the daughter of E. Since D is already the daughter of mother C, E must be the father of D and the husband of C.

Since C is the daughter of A and E is the husband of C, E is the daughter's husband of A.

Explanation

To find the day of the week on 11 September 1943, we calculate the number of odd days from 24 August 1932 to 11 September 1943.

First, we calculate the odd days between 24 August 1932 and 24 August 1943: The difference in years is 11 years (1943 - 1932). Among these, the leap years are 1936 and 1940, making a total of 2 leap years. 1932 is a leap year, but since we start from August, its leap day has already passed and is not counted. The number of ordinary years is 11 - 2 = 9 years. Each ordinary year has 1 odd day, and each leap year has 2 odd days. Odd days from years = (9 × 1) + (2 × 2) = 13 odd days.

Next, we calculate the odd days from 24 August 1943 to 11 September 1943: Remaining days in August = 31 - 24 = 7 days. Days in September = 11 days. Total days = 7 + 11 = 18 days. Odd days from these days = 18 mod 7 = 4 odd days.

Total odd days = 13 + 4 = 17 odd days. Net odd days = 17 mod 7 = 3 odd days.

Adding 3 days to Wednesday (the day on 24 August 1932): Wednesday + 3 days = Saturday.

Explanation

The relationship between the terms consists of two separate patterns for the letters and the numbers.

First, each letter in the first term is shifted forward by 6 positions in the alphabetical order to obtain the corresponding letter in the second term, wrapping around from Z to A where necessary. Z is the 26th letter, and shifting it forward by 6 positions yields the 6th letter, which is F. V is the 22nd letter, and shifting it forward by 6 positions yields the 2nd letter, which is B. Thus, ZV becomes FB.

Second, the number in the second term is obtained by multiplying the number in the first term by 7. For LH3, the number 3 is multiplied by 7 to get 21 in RN21. For JF5, the number 5 is multiplied by 7 to get 35 in PL35. Applying this to ZV6, the number 6 is multiplied by 7 to get 42.

Combining these two patterns, ZV6 is related to FB42.

Explanation

The series is determined by analyzing the alphabetical positions of the letters in each term.

The first letter of each term increases by 4 positions in the alphabetical order: Y (25) + 4 = C (3) C (3) + 4 = G (7) G (7) + 4 = K (11) K (11) + 4 = O (15)

The second letter of each term increases by 9 positions: Q (17) + 9 = Z (26) Z (26) + 9 = I (9) I (9) + 9 = R (18) R (18) + 9 = A (1)

The third letter of each term increases by 8 positions: I (9) + 8 = Q (17) Q (17) + 8 = Y (25) Y (25) + 8 = G (7) G (7) + 8 = O (15)

Applying these patterns, the next term in the series is OAO.

Explanation

The given series follows an alternating addition pattern where +5 and +10 are added to consecutive terms:

27 + 5 = 32 32 + 10 = 42 42 + 5 = 47 47 + 10 = 57

Following this alternating pattern of +5, +10, +5, +10, the next increment must be +5:

57 + 5 = 62

Explanation

The relationship between the words is established by alternating between subtracting 4 and adding 2 to the alphabetical positions of the letters in the English alphabet (where A = 1, B = 2, ..., Z = 26).

For the word ETHICS: E (5) - 4 = 1 (A) T (20) + 2 = 22 (V) H (8) - 4 = 4 (D) I (9) + 2 = 11 (K) C (3) - 4 = 25 (Y) S (19) + 2 = 21 (U) This yields the code AVDKYU.

Applying this same alternating pattern of -4 and +2 to the word PRINCIPLES: P (16) - 4 = 12 (L) R (18) + 2 = 20 (T) I (9) - 4 = 5 (E) N (14) + 2 = 16 (P) C (3) - 4 = 25 (Y) I (9) + 2 = 11 (K) P (16) - 4 = 12 (L) L (12) + 2 = 14 (N) E (5) - 4 = 1 (A) S (19) + 2 = 21 (U)

Combining these letters gives LTEPYKLNAU.

Explanation

Each letter in the clusters follows a specific sequence with increasing step differences from one term to the next.

For the first letter: N (14) → (+1) → O (15) → (+2) → Q (17) → (+3) → T (20) → (+4) → X (24).

For the second letter: D (4) → (+2) → F (6) → (+3) → I (9) → (+4) → M (13) → (+5) → R (18).

For the third letter: G (7) → (+3) → J (10) → (+4) → N (14) → (+5) → S (19) → (+6) → Y (25).

For the fourth letter: B (2) → (+4) → F (6) → (+5) → K (11) → (+6) → Q (17) → (+7) → X (24).

Combining these positions gives the cluster QINK.

Explanation

Interchanging 46 and 69 in the equation gives: 8 × (7 + 5 - 3) + (69 ÷ 23) × 6 - 46 = 44

Solving the terms inside the parentheses: 7 + 5 - 3 = 9 69 ÷ 23 = 3

Substituting these values back: 8 × 9 + 3 × 6 - 46 = 44

Performing the multiplications: 72 + 18 - 46 = 44

Performing addition and subtraction: 90 - 46 = 44 44 = 44

Explanation

The relationship between the letter-clusters in the given pairs is a constant forward shift of 6 positions for each corresponding letter.

In the first pair, GKI : MQO: G (7) + 6 = M (13) K (11) + 6 = Q (17) I (9) + 6 = O (15)

In the second pair, CGE : IMK: C (3) + 6 = I (9) G (7) + 6 = M (13) E (5) + 6 = K (11)

Applying this same relationship of +6 to the pair LPN : RVT: L (12) + 6 = R (18) P (16) + 6 = V (22) N (14) + 6 = T (20)

Explanation

According to the interchange rules:

• is replaced by ÷ × is replaced by +

• is replaced by × ÷ is replaced by -

Applying these changes to the equation: 90 ÷ 10 + 36 × 52 - 49

According to the BODMAS rule: First, perform the division: 90 ÷ 10 = 9

Next, perform the multiplication: 36 × 52 = 1872

Finally, perform the addition and subtraction: 9 + 1872 - 49 = 1881 - 49 = 1832

Explanation

The given number series follows an alternating pattern of two mathematical operations: multiplication by 5 and subtraction of 40.

The pattern works as follows:

12 × 5 = 60 60 - 40 = 20 20 × 5 = 100 100 - 40 = 60 60 × 5 = 300 300 - 40 = 260

Following this established sequence of multiplying by 5 and then subtracting 40, the next operation required is to multiply the last term by 5:

260 × 5 = 1300

Explanation

Comparing the two coded words, the letters common to BROW and WORM are R, O, and W.

The digits common to their respective codes, 7542 and 7295, are 7, 5, and 2.

By eliminating these common elements, the unique letter left in BROW is B, and the unique digit left in its code is 4. This directly gives the code for B.

Explanation

In the expression P x Q x R + S, the operators represent the following relationships: P x Q means P is the father of Q. Q x R means Q is the father of R. R + S means R is the brother of S.

Since R is the brother of S, they are siblings and share the same father. Since Q is the father of R, Q is also the father of S. Because P is the father of Q, and Q is the father of S, P is the father of S's father. Therefore, P is the father's father of S.

Explanation

Correct Answer: D

The letters of the word JUSTICE arranged in alphabetical order are C, E, I, J, S, T, U.

In this arranged sequence, the letter second from the left is E and the letter fourth from the right is J.

To find the number of letters between E and J in the English alphabetical series, we use their alphabetical positions. Since E is the 5th letter and J is the 10th letter, the number of letters between them is: 10 - 5 - 1 = 4

These four letters are F, G, H, and I.

Explanation

In this mathematical operators puzzle, the letters represent the standard arithmetic operators as follows: A stands for division (÷) B stands for multiplication (×) C stands for addition (+) D stands for subtraction (-)

Substituting these operators into the given equation: 11 B 11 D 68 A 4 C 4 = 11 × 11 - 68 ÷ 4 + 4

Applying the BODMAS rule:

First, perform the division: 68 ÷ 4 = 17

Next, perform the multiplication: 11 × 11 = 121

Substitute these values back into the equation: 121 - 17 + 4

Perform the remaining addition and subtraction operations from left to right: 121 - 17 = 104 104 + 4 = 108

Explanation

The numbers in the given sets follow the mathematical logic where the third number is obtained by multiplying the second number with the first number decreased by one. This is represented by the formula:

Third Number = Second Number × (First Number - 1)

Applying this relation to the given sets: For (18, 7, 119): 7 × (18 - 1) = 7 × 17 = 119

For (11, 9, 90): 9 × (11 - 1) = 9 × 10 = 90

Applying the same logic to the set (12, 4, 44): 4 × (12 - 1) = 4 × 11 = 44

Explanation

The given series follows a consistent addition pattern where each letter in a term is shifted forward by 5 positions in alphabetical order to obtain the corresponding letter of the next term.

For the first letter, the position numbers increase by 5: E (5) to J (10) to O (15) to T (20). The next letter is T (20) + 5 = Y (25).

For the second letter, the position numbers increase by 5: C (3) to H (8) to M (13) to R (18). The next letter is R (18) + 5 = W (23).

For the third letter, the position numbers increase by 5: F (6) to K (11) to P (16) to U (21). The next letter is U (21) + 5 = Z (26).

Combining these results yields the next term YWZ.

Explanation

To determine which conclusions follow, we analyze the logical relationships between the sets:

The statement that all fire is water means the set of fire is completely contained within the set of water.

The statement that some water is earth means there is an overlap between the set of water and the set of earth. However, this overlapping region does not necessarily intersect with the set of fire. Since there is no definite connection established between fire and earth, conclusion I does not logically follow.

The statement that no earth is air means the sets of earth and air are completely disjoint. This provides no information about the relationship between fire and air. Since fire and air have no defined relationship, conclusion II also does not logically follow.

Therefore, neither conclusion I nor conclusion II follows from the given statements.

Explanation

Comparing the words SORT and RUST, the common letters are S, R, and T. Looking at their respective codes, 4698 and 6429, the common digits are 4, 6, and 9. This means that the letters S, R, and T are represented by the digits 4, 6, and 9 in some order. The remaining letter in SORT is O, which must correspond to the remaining digit in its code, 8.

Explanation

The letters A, B, C, and D represent the mathematical operators division (÷), multiplication (×), addition (+), and subtraction (-) respectively.

Substituting these operators into the given equation: 95 × 8 - 12 ÷ 2 + 16

Applying the BODMAS rule, first perform the division: 12 ÷ 2 = 6

Next, perform the multiplication: 95 × 8 = 760

Now, perform the addition and subtraction: 760 - 6 + 16 = 754 + 16 = 770

Explanation

The relationship between the first number x and the second number y is determined by the linear formula y = 5x + 2.

Applying this formula to the first pair: 5 × 9 + 2 = 45 + 2 = 47

Applying the same formula to the second pair: 5 × 12 + 2 = 60 + 2 = 62

Using the same logic for the number 17: 5 × 17 + 2 = 85 + 2 = 87

Explanation

The series follows a consistent addition pattern for each letter position of the terms.

For the first letter of each term, the alphabetical positions increase by 10 in each step, using modular arithmetic with 26 letters: S (19) + 10 = 29 = C (3) C (3) + 10 = 13 = M M (13) + 10 = 23 = W W (23) + 10 = 33 = G (7)

For the second letter of each term, the alphabetical positions increase by 12: L (12) + 12 = 24 = X X (24) + 12 = 36 = J (10) J (10) + 12 = 22 = V V (22) + 12 = 34 = H (8)

For the third letter of each term, the alphabetical positions increase by 14: E (5) + 14 = 19 = S S (19) + 14 = 33 = G (7) G (7) + 14 = 21 = U U (21) + 14 = 35 = I (9)

Applying these additions of 10, 12, and 14 to the letters of CXS results in the term MJG.

Explanation

The relationship in the pair Happy : Ecstatic is that of synonyms, where both words express a similar meaning of joy, with ecstatic representing a higher intensity of happiness. Similarly, polite and courteous are synonyms that both describe respectful and well-mannered behavior.

Explanation

The positional values of the letters in the English alphabet are used to determine the pattern. For JMN, the alphabetical positions are J = 10, M = 13, and N = 14, which gives differences of +3 and +1 between consecutive letters, whereas the other groups follow a consistent pattern of +3 and +2.

Explanation

The given series is generated by adding consecutive multiples of 7 to each preceding term.

First term: 3 Second term: 3 + 7 = 10 Third term: 10 + 14 = 24 Fourth term: 24 + 21 = 45 Fifth term: 45 + 28 = 73 Sixth term: 73 + 35 = 108 Seventh term: 108 + 42 = 150 Eighth term: 150 + 49 = 199

The differences between consecutive terms are 7, 14, 21, 28, 35, 42, and 49, which are all consecutive multiples of 7. Thus, the missing number is 45.

Explanation

The relationship among the numbers in each set (a, b, c) is defined by the following formulas: b = 2 × a c = b ÷ 5

Applying this relation to the first set (10, 20, 4): 2 × 10 = 20 20 ÷ 5 = 4

Applying this relation to the second set (15, 30, 6): 2 × 15 = 30 30 ÷ 5 = 6

Applying this same logic to the set (20, 40, 8): 2 × 20 = 40 40 ÷ 5 = 8

Explanation

Comparing the two coded sentences reveals the common elements between them.

The first sentence is 'mobile switched off', which is coded as 'rq mg cr'. The second sentence is 'trun off light', which is coded as 'my cp rq'.

The only word common to both sentences is 'off'. Similarly, the only code common to both encoded strings is 'rq'. Therefore, the code for 'off' is 'rq'.

Explanation

According to the given conditions, the mathematical operators are interchanged as follows: × is interchanged with ÷

• is interchanged with -

Applying these changes to the given equation, we get: 66 ÷ 11 + 26 - 3 × 9 = ?

Applying the BODMAS rule:

First, perform the division: 66 ÷ 11 = 6

Next, perform the multiplication: 3 × 9 = 27

Now, substitute these values back into the equation: 6 + 26 - 27

Finally, perform the addition and subtraction: 32 - 27 = 5

Explanation

Correct Answer: B

To solve the equation, we first identify the standard operator interchange where + and ÷ are interchanged, and × and - are interchanged. The original equation is:

16 - 33 + 11 ÷ 22 × 5

Applying the interchanges:

• becomes ×

• becomes ÷ ÷ becomes + × becomes -

This transforms the equation into:

16 × 33 ÷ 11 + 22 - 5

Following the BODMAS rule:

First, perform the division: 33 ÷ 11 = 3

Next, perform the multiplication: 16 × 3 = 48

Finally, perform the addition and subtraction: 48 + 22 - 5 = 70 - 5 = 65

Explanation

Each letter in the first group is shifted backward by three positions in the English alphabetical order to obtain the corresponding letter in the second group.

In the first pair, the positions of HJKN are 8, 10, 11, and 14. Subtracting 3 from each position gives 5, 7, 8, and 11, which correspond to EGHK.

In the second pair, the positions of QSTW are 17, 19, 20, and 23. Subtracting 3 from each position gives 14, 16, 17, and 20, which correspond to NPQT.

Applying this same logic to IKLO, the positions of the letters are 9, 11, 12, and 15. Subtracting 3 from each position yields 6, 8, 9, and 12. These positions correspond to the letters F, H, I, and L respectively, forming the group FHIL.

Explanation

In the standard alphabetical positions, the pattern followed by the other letter-clusters is that the second letter is obtained by adding 5 to the position of the first letter, followed by consecutive decreasing letters.

For the letter-cluster IMNL, the alphabetical positions are I = 9, M = 13, N = 14, and L = 12. The difference between the first and second letter is 13 - 9 = 4, which deviates from the +5 pattern. Additionally, the subsequent letters do not decrease consecutively in alphabetical order.

Explanation

The time period from 3 April 1996 to 3 April 2001 consists of 5 years.

Among these years, 2000 is a leap year containing 366 days, while 1997, 1998, 1999, and 2001 are ordinary years of 365 days each. The year 1996 is also a leap year, but since the starting date is 3 April, its extra leap day in February is not counted in this interval.

An ordinary year has 1 odd day and a leap year has 2 odd days.

Total odd days from 3 April 1996 to 3 April 2001 = (4 × 1) + (1 × 2) = 6 odd days.

Adding 6 days to Wednesday gives Tuesday. Therefore, 3 April 2001 was Tuesday.

To find the day on 7 April 2001, we add the remaining 4 days (7 - 3 = 4) to Tuesday. Tuesday + 4 days results in Saturday.

Explanation

The series follows a pattern where consecutive terms are obtained by subtracting successive perfect cubes.

499 - 1³ = 498 498 - 2³ = 490 490 - 3³ = 463 463 - 4³ = 399

Following this mathematical pattern, the next term is calculated by subtracting 5³ from the preceding term:

399 - 5³ = 399 - 125 = 274

Explanation

Interchanging + with - and × with ÷ in the mathematically corrected expression yields:

333 ÷ 3 + 14 - 5 + 5

According to the order of operations (BODMAS):

Perform the division first: 333 ÷ 3 = 111

Then perform the addition and subtraction: 111 + 14 - 5 + 5 = 125

Explanation

The series is formed by three independent patterns for the first letter, second letter, and the number in each cluster.

For the first letter, the positions in the English alphabet increase by +1, +2, +3, and +4. Starting with J (10), we have J (+1) → K (11), K (+2) → M (13), M (+3) → P (16), and P (+4) → T (20). This gives M as the first letter of the missing cluster.

For the second letter, the alphabetical positions also increase by +1, +2, +3, and +4. Starting with X (24), we have X (+1) → Y (25), Y (+2) → A (1, after wrapping around), A (+3) → D (4), and D (+4) → H (8). This gives A as the second letter of the missing cluster.

For the numbers, the difference between consecutive terms increases by 2 each time, following the pattern +5, +7, +9, and +11. Starting with 26, we have 26 + 5 = 31, 31 + 7 = 38, 38 + 9 = 47, and 47 + 11 = 58. This gives 38 as the number of the missing cluster.

Combining these three patterns, the complete cluster that replaces the question mark is MA 38.