SSC CGL Tier 1 2023 General Intelligence & Reasoning Questions with Solutions

Explanation

The pattern follows a two-step transformation: the original word is reversed, and then an incremental value is added to the positional value of each letter starting from +1.

For the word CREATE, the letters are first reversed to obtain E-T-A-E-R-C. Applying the incremental addition to their numerical positions in the alphabet:

E (5) + 1 = 6 (F) T (20) + 2 = 22 (V) A (1) + 3 = 4 (D) E (5) + 4 = 9 (I) R (18) + 5 = 23 (W) C (3) + 6 = 9 (I)

The resulting letter cluster is FVDIWI. This logic is consistent with the other examples provided. In DELIGHT, the reverse is T-H-G-I-L-E-D; adding +1 through +7 results in U-J-J-M-Q-K-K. In PLIGHT, the reverse is T-H-G-I-L-P; adding +1 through +6 results in U-J-J-M-Q-V.

Explanation

To arrange words in dictionary order, they must be compared letter by letter from left to right. All the given words start with the letters dis. Comparing the fourth letters, we have p in displace (5), display (2), and dispute (6); s in dissolve (1); and t in distance (3) and disturb (4). Since the alphabetical order is p, q, r, s, t, the words starting with p come first, followed by s, then t.

Among the words starting with p, displace (5) and display (2) share the first six letters displa. Comparing their seventh letters, c in displace comes before y in display, so 5 precedes 2. Both precede dispute (6) because the fifth letter l comes before u. This establishes the sequence 5, 2, 6. The next word is dissolve (1) because s comes after p but before t. Finally, comparing the words starting with t, distance (3) precedes disturb (4) because the fifth letter a comes before u. Arranging these groups together results in the sequence 5, 2, 6, 1, 3, 4.

Explanation

Based on the coded relationships, the expression A + P - Q × R - S can be broken down as follows: A + P indicates A is the son of P. P - Q indicates P is the wife of Q, which implies Q is the father of A. Q × R indicates Q is the father of R, meaning A and R are siblings (specifically, A is the brother of R since A is a son). R - S indicates R is the wife of S.

From these deductions, A and R are children of the couple P (mother) and Q (father). S is the husband of R, making A the brother-in-law of S (the brother of S's wife). Since A belongs to the same generation as S's wife and S himself, it is biologically and logically impossible for A to be the son of S. Therefore, the statement asserting A is the son of S is incorrect.

Explanation

The logic followed in the given sets is based on the formula A² - B²{2} = C, where A and B are the first two numbers and C is the result. This relationship can also be interpreted as the product of the sum and difference of the first two numbers divided by two.

For the set (12, 4, 64), the calculation is 12² - 4²{2} = (144 - 16)/(2) = ¹²⁸⁄₂ = 64.

For the set (8, 6, 14), the calculation is 8² - 6²{2} = (64 - 36)/(2) = ²⁸⁄₂ = 14.

Applying the same pattern to the numbers in the set (9, 5, 28), the calculation is 9² - 5²{2} = (81 - 25)/(2) = ⁵⁶⁄₂ = 28.

Explanation

The numbers in each set follow a specific mathematical pattern where the sum of the squares of the first two numbers equals the third number.

Pattern: (First Number)² + (Second Number)² = Third Number

Applying this to the provided sets: In the first set (14, 10, 296), 14² + 10² = 196 + 100 = 296. In the second set (8, 17, 353), 8² + 17² = 64 + 289 = 353.

In option c (5, 13, 194), the same logic applies: 5² + 13² = 25 + 169 = 194.

Explanation

The relationship between the letter-clusters follows a pattern of decreasing addition based on the position of each letter. The first letter is shifted by +4, the second by +3, the third by +2, and the fourth by +1 in the alphabetical sequence.

For the cluster LIFE: L (12) + 4 = 16 (P) I (9) + 3 = 12 (L) F (6) + 2 = 8 (H) E (5) + 1 = 6 (F)

Applying this same logic to the cluster GOAL: G (7) + 4 = 11 (K) O (15) + 3 = 18 (R) A (1) + 2 = 3 (C) L (12) + 1 = 13 (M)

The resulting letter-cluster is KRCM.

Explanation

The series follows a consistent positional pattern for each letter in the clusters. By converting the letters to their numerical positions in the English alphabet:

First letter: L (12), N (14), P (16), ?, T (20). The pattern is +2. Thus, 16 + 2 = 18, which corresponds to R.

Second letter: C (3), E (5), G (7), ?, K (11). The pattern is +2. Thus, 7 + 2 = 9, which corresponds to I.

Third letter: A (1), C (3), E (5), ?, I (9). The pattern is +2. Thus, 5 + 2 = 7, which corresponds to G.

Fourth letter: Z (26), X (24), V (22), ?, R (18). The pattern is -2. Thus, 22 - 2 = 20, which corresponds to T.

Combining these results, the missing cluster is RIGT.

Explanation

Applying the mathematical signs from option b in the given sequence, the expression becomes 11 × 13 + 238 ÷ 17 - 34. Following the BODMAS rule, division is performed first: 238 ÷ 17 = 14. Next, the multiplication is calculated: 11 × 13 = 143. Substituting these results back into the expression yields 143 + 14 - 34. Summing the first two terms gives 157 - 34, which results in 123. Since the calculated value equals the right-hand side of the equation, the combination balances the expression perfectly.

Explanation

The series follows the repetition of the seven-letter word MALIVYO. By dividing the series into segments and filling the blanks with the letters from option c, we can see the pattern clearly:

MAL (I) VY (O) MALIV (Y) O M (A) L I V Y O (M) A (L) (V) Y O

In the first three segments, the word MALIVYO is completed. In the fourth segment, the letters follow the same sequence (M-A-L-V-Y-O), with the letter I being omitted in the specific structure of the provided string. Placing the letters I, O, Y, A, M, L, and V sequentially into the blanks maintains the consistent alphabetical order of the repeating word throughout the series.

Explanation

The coding pattern follows the rule where the numerical position of each letter in the English alphabet (A=1, B=2, ..., Z=26) is increased by 3. In the word FILM, the positions are F(6), I(9), L(12), and M(13). Adding 3 to each yields 9, 12, 15, and 16, which forms the code 9121516. Similarly, for the word EAST, the positions are E(5), A(1), S(19), and T(20). Adding 3 to each yields 8, 4, 22, and 23, forming 842223. Applying this logic to the word HOME, the alphabetical positions are H(8), O(15), M(13), and E(5). Adding 3 to each position gives 11, 18, 16, and 8. Combining these numbers results in the code 1118168.

Explanation

The numbers in the set follow a logic where the middle number is twice the sum of the first and third numbers. Applying the formula b = 2 × (a + c) to the given set (14, 60, 16), we find that 2 × (14 + 16) = 2 × 30 = 60.

In the set (19, 80, 21), the same mathematical relationship is maintained. Adding the first and third numbers gives 19 + 21 = 40. When this sum is multiplied by 2, it results in 40 × 2 = 80, which is the middle number provided in the set.

Explanation

The logic followed in the pattern is that the third number in each row is the sum of the square of the first number and the cube of the second number. This relationship can be expressed using the formula (First Number)² + (Second Number)³ = Third Number.

In the first row, the calculation is 15² + 3³ = 225 + 27 = 252. In the second row, the calculation is 11² + 5³ = 121 + 125 = 246. Following this same rule for the third row, we calculate the sum of the square of 9 and the cube of 6 as 9² + 6³ = 81 + 216 = 297.

Explanation

The coding logic involves splitting the word into pairs of letters, reversing the order within each pair, and then shifting each letter back by one position in the alphabet (n - 1).

For the word SAMPLING, the pairs are (SA), (MP), (LI), and (NG). Applying the transformation to each pair: The first pair (SA) is reversed and shifted back: A - 1 = Z and S - 1 = R, giving ZR. The second pair (MP) is reversed and shifted back: P - 1 = O and M - 1 = L, giving OL. The third pair (LI) is reversed and shifted back: I - 1 = H and L - 1 = K, giving HK. The fourth pair (NG) is reversed and shifted back: G - 1 = F and N - 1 = M, giving FM.

Combining these pairs together results in the code ZROLHKFM.

Explanation

The word FRETSAW is transformed by changing vowels E and A to their following letters and consonants F, R, T, S, and W to their previous letters in the English alphabetical series. Applying these changes: F becomes E, R becomes Q, E becomes F, T becomes S, S becomes R, A becomes B, and W becomes V. The resulting word is EQFSRBV.

In this new word, the alphabet located 3rd from the right is R and the alphabet 1st from the right is V. The English alphabetical sequence between R and V is S, T, and U. Counting these letters, there are three alphabets between the specified positions.

Explanation

Samuel refers to the girl as the sister of his maternal uncle's son. A maternal uncle is the brother of one's mother. The son of a maternal uncle is a maternal cousin, and the sister of that son is also the child of the same maternal uncle. Therefore, the girl in the picture is the daughter of Samuel's maternal uncle, which is equivalent to being his mother's brother's daughter.

Explanation

The sequence follows a pattern where the differences between consecutive terms form a geometric progression with a common ratio of 2. By examining the differences of the known terms at the end of the series, we find: 197 - 101 = 96 101 - 53 = 48 53 - 29 = 24

The differences are decreasing by a factor of 2 as we move toward the start of the series (96, 48, 24). Following this progression, the difference immediately preceding 24 must be 24 ÷ 2 = 12. To find the missing number, we subtract this difference from the third term: 29 - 12 = 17. This value is consistent with the first term of the series, as the first difference is 17 - 11 = 6, and 6 × 2 = 12.

Explanation

The series is based on a repeating five-letter cycle where each group ends with the same four-letter suffix, DGIO. By dividing the 20-character string into four equal segments, the structure is revealed as: P _ G I O | _ D _ I O | R D G _ O | _ D G I O

To maintain consistency across the series, the missing letters must align with the established pattern of the suffix. In the first group, the blank at the second position is filled with D, forming PDGIO. In the second group, the blanks at the first and third positions (the sixth and eighth characters of the string) are filled with O and G to form ODGIO. In the third group, the blank at the fourteenth position is filled with I, forming RDGIO. In the fourth group, the blank at the sixteenth position is filled with S, forming SDGIO.

When the letters from option b (D, O, G, I, S) are placed into the blanks from left to right, the series becomes PDGIO, ODGIO, RDGIO, and SDGIO. Each segment follows the pattern of a varying first letter followed by the constant segment DGIO. The leading letters follow a sequence of P and O (alphabetical positions 16 and 15) followed by R and S (alphabetical positions 18 and 19), which are pairs of adjacent letters in the alphabet.

Explanation

The letter-cluster GUK is the odd one out because it does not follow the rule where the first two letters are opposites and the third letter is at a +4 position from the first. In the English alphabet, opposite letters have positions that sum to 27. For the letter G at position 7, the opposite letter should be T at position 20. However, this cluster contains U at position 21, making the sum 7 + 21 = 28. While the third letter K is at position 11, which is 7 + 4 = 11, the failure of the first two letters to form an opposite pair makes this cluster different from the established pattern.

Explanation

The numerical relationship follows the pattern x : (x × 6) + 1. In the first pair, applying this logic to the number 4 gives 4 × 6 + 1 = 24 + 1 = 25. In the second pair, applying the same logic to the number 12 gives 12 × 6 + 1 = 72 + 1 = 73. Following this consistent rule for the fifth number, we multiply 7 by 6 and add 1, resulting in 7 × 6 + 1 = 42 + 1 = 43.

Explanation

The first statement All leathers are shoes defines a subset relationship where the entire category of leathers is contained within the category of shoes. In syllogistic logic, the universal affirmative statement All A are B implies the particular affirmative statement Some B are A through the process of conversion. Since every leather item is classified as a shoe, there must exist a portion of the shoe category that consists of leathers. This makes conclusion II a logical necessity derived directly from the first statement. The relationships involving papers and bags do not provide a direct or definite link to the leather or shoe categories that would make the other conclusions universally true.

Explanation

Conclusion I follows because of the rule of conversion applied to the third statement. Since all valleys are rivers, it logically implies that at least some rivers are valleys. This is a direct implication where a universal affirmative statement (All A are B) always supports a particular affirmative conclusion (Some B are A).

Conclusion III follows through the logical connection between the second and third statements. If some hills are valleys and all valleys are rivers, then the specific portion of hills that overlaps with valleys must also overlap with rivers. This syllogistic deduction confirms that there is a necessary intersection between hills and rivers.

Explanation

The relationship in the given pair is that of a creative work and the person responsible for directing and overseeing its artistic execution. A Director is the individual who leads the creative vision, manages the performance, and guides the technical aspects of a Film. Similarly, a Choreographer is the professional who creates, sequences, and directs the movements and artistic expressions of a Dance. Both roles involve the conceptualization and structural guidance of a performance-based production.

Explanation

The coding logic follows a constant addition of 3 to the alphabetical position of each letter in the word. In the first example ABUSE, the transformation is A (1) + 3 = D (4), B (2) + 3 = E (5), U (21) + 3 = X (24), S (19) + 3 = V (22), and E (5) + 3 = H (8). Similarly, in CANDY, C (3) + 3 = F (6), A (1) + 3 = D (4), N (14) + 3 = Q (17), D (4) + 3 = G (7), and Y (25) + 3 = B (2).

Applying this +3 shift to the word DESERT: D (4) + 3 = G (7) E (5) + 3 = H (8) S (19) + 3 = V (22) E (5) + 3 = H (8) R (18) + 3 = U (21) T (20) + 3 = W (23)

Combining these results gives the coded word GHVHUW.

Explanation

The relationship followed in the given number pairs is n : (n³ - 3n). In the first pair, 9 : 702, the second number is calculated as 9³ - (3 × 9) = 729 - 27 = 702. Similarly, in the second pair, 3 : 18, the second number is obtained as 3³ - (3 × 3) = 27 - 9 = 18. Applying this logic to the fifth number, 6, the corresponding number is 6³ - (3 × 6) = 216 - 18 = 198.

Explanation

By interchanging the signs ÷ and × in the equation 12 ÷ 5 - 8 × 2 + 14 = 70, the expression becomes 12 × 5 - 8 ÷ 2 + 14 = 70. Following the BODMAS rule, first perform the multiplication and division: 12 × 5 = 60 and 8 ÷ 2 = 4. Substituting these values back into the equation yields 60 - 4 + 14. Next, perform the addition and subtraction from left to right: 60 - 4 = 56, and 56 + 14 = 70. Since the left-hand side equals the right-hand side (70 = 70), the equation is balanced.

Explanation

The series follows a pattern where each term is a triplet of letters, and each letter position within the triplet follows its own arithmetic progression based on alphabetical order.

For the first letter in each triplet, the sequence is M, P, S, V. Numerically, these positions are 13, 16, 19, and 22. The pattern is an increment of +3 at each step (13+3=16, 16+3=19, 19+3=22). The next letter is 22+3=25, which is Y.

For the second letter in each triplet, the sequence is P, R, T, V. Numerically, these positions are 16, 18, 20, and 22. The pattern is an increment of +2 at each step (16+2=18, 18+2=20, 20+2=22). The next letter is 22+2=24, which is X.

For the third letter in each triplet, the sequence is T, U, V, W. Numerically, these positions are 20, 21, 22, and 23. The pattern is a simple increment of +1 at each step. The next letter is 23+1=24, which is X.

Combining these results, the next term in the series is YXX.

Explanation

To make the equation correct, we interchange the signs ÷ and -. Substituting these into the original equation 256 - 4 × 2 + 200 ÷ 19 = 309, we get the modified expression:

256 ÷ 4 × 2 + 200 - 19 = 309

Applying the BODMAS rule, we first perform the division: 256 ÷ 4 = 64

The equation now reads: 64 × 2 + 200 - 19 = 309

Next, we perform the multiplication: 64 × 2 = 128

The equation becomes: 128 + 200 - 19 = 309

Then, we perform the addition: 128 + 200 = 328

Finally, we perform the subtraction: 328 - 19 = 309

Since 309 = 309, the equation is balanced.

Explanation

The relationship between the letter-clusters is determined by a transformation rule where consonants are shifted by -1 and vowels (A, E, I, O, U) are shifted by +1 in the alphabet. In the word CYCLE, the consonants C, Y, C, and L move back one position to become B, X, B, and K, while the vowel E moves forward one position to become F, forming the cluster BXBKF. Similarly, in the word TYRE, the consonants T, Y, and R shift to S, X, and Q, and the vowel E shifts to F, resulting in SXQF.

Applying this logic to SCOOTER, the consonants S, C, T, and R are shifted back by one letter to become R, B, S, and Q respectively. The vowels O, O, and E are shifted forward by one letter to become P, P, and F. Following the original order of the letters in SCOOTER, the transformation results in the sequence R (from S), B (from C), P (from O), P (from O), S (from T), F (from E), and Q (from R), which forms the letter-cluster RBPPSFQ.

Explanation

The relationship between the numbers in the sets (A, B, C) follows a pattern where the third number is equal to the product of the first and second numbers multiplied by a constant factor of 5. The logic is defined by the formula C = A × B × 5.

In the set (15, 5, 375): 15 × 5 = 75 75 × 5 = 375

In the set (14, 3, 210): 14 × 3 = 42 42 × 5 = 210

Applying the same logic to the numbers in option d (11, 16, 880): 11 × 16 = 176 176 × 5 = 880

Explanation

The relationship between the numbers in the given sets follows the formula a(a + 1) + b(b + 1) = c.

In the set (6, 7, 98): 6 × (6 + 1) + 7 × (7 + 1) 6 × 7 + 7 × 8 42 + 56 = 98

In the set (8, 10, 182): 8 × (8 + 1) + 10 × (10 + 1) 8 × 9 + 10 × 11 72 + 110 = 182

Similarly, in the set (4, 5, 50): 4 × (4 + 1) + 5 × (5 + 1) 4 × 5 + 5 × 6 20 + 30 = 50

Explanation

The logic followed in the number pairs (x, y) is y = x⁴ - x², which can also be expressed as y = x²(x² - 1).

For the pair (6, 1260): 6⁴ - 6² = 1296 - 36 = 1260. For the pair (5, 600): 5⁴ - 5² = 625 - 25 = 600. For the pair (4, 240): 4⁴ - 4² = 256 - 16 = 240.

However, for the pair (7, 2050), applying the same logic gives 7⁴ - 7² = 2401 - 49 = 2352. Since 2050 ≠ 2352, this pair does not follow the established mathematical operation.

Explanation

The relationship between the terms follows the pattern where the first number is half the square of the second number, expressed by the formula n₁ = n₂²{2}. Alternatively, the second number can be calculated as the square root of twice the first number: n₂ = √(2 × n₁₎.

In the first pair 32:8, the calculation is √(2 × 32) = √(64) = 8. In the second pair 72:12, the calculation is √(2 × 72) = √(144) = 12. Following this logic for the third pair 128:?, the required term is √(2 × 128) = √(256) = 16.

Explanation

The logical validity of the conclusions can be determined by analyzing the relationships between the sets defined in the statements. The statement all cricketers are wealthy means the set of cricketers is a subset of wealthy people (C ⊆ W). The statement some wealthy are Indians means there is an intersection between the set of wealthy people and Indians (W ∩ I ≠ ∅). Finally, all Indians are honest means the set of Indians is a subset of honest people (I ⊆ H).

Conclusion I, which states all Indians are cricketers (I ⊆ C), does not follow because the premises do not establish a relationship where every member of the Indian set must be part of the cricketer set. The only link provided is that some Indians are wealthy, which is insufficient to conclude that all Indians are cricketers.

Conclusion II, which states some cricketers are honest (C ∩ H ≠ ∅), does not follow because there is no guaranteed overlap between cricketers and Indians. While all cricketers are wealthy and all Indians are honest, the subset of wealthy people who are Indians is not necessarily the same as the subset of wealthy people who are cricketers. Without a specific premise linking cricketers to Indians or directly to honesty, this intersection cannot be logically deduced. Consequently, neither conclusion follows from the given statements.

Explanation

Following the instructions provided in the question, the operators are substituted as follows: '-' is replaced by multiplication (×), '+' is replaced by subtraction (-), '×' is replaced by division (÷), and '÷' is replaced by addition (+).

The original expression is: 23 - 31 + 135 × 15 ÷ 16

Applying the operator changes, the expression becomes: 23 × 31 - 135 ÷ 15 + 16

To solve this, follow the BODMAS rule (Division, Multiplication, Addition, Subtraction). First, perform the division: 135 ÷ 15 = 9 The expression now stands as: 23 × 31 - 9 + 16

Next, perform the multiplication: 23 × 31 = 713 The expression now stands as: 713 - 9 + 16

Finally, solve the addition and subtraction: 713 - 9 + 16 = 704 + 16 = 720

Explanation

The family consists of P, M, Z, A, and L. The problem states that all members except L are females, which establishes that M and Z are both female. It is further mentioned that Z and L are in a marital relationship and that P, M, and A are their children. Since M is a female child of Z, she is Z's daughter.

Explanation

The number series follows a recursive pattern where each term is derived from the preceding term using the formula Tₙ₊₁ = Tₙ{5} + 5. This operation involves dividing the current term by 5 and adding 5 to the quotient to obtain the next term in the sequence.

Starting with the first term, we have ⁵⁴⁷⁵⁄₅ + 5 = 1095 + 5 = 1100. Continuing the sequence, the third term is calculated as ¹¹⁰⁰⁄₅ + 5 = 220 + 5 = 225. The fourth term is ²²⁵⁄₅ + 5 = 45 + 5 = 50.

To find the missing number that replaces the question mark, we apply the same rule to the fourth term: ⁵⁰⁄₅ + 5 = 10 + 5 = 15. This value is verified by the remaining terms in the series, where ¹⁵⁄₅ + 5 = 3 + 5 = 8, and finally ⁸⁄₅ + 5 = 1.6 + 5 = 6.6.

Explanation

The coding logic involves reversing the order of letters in the given word and then adding 3 to the alphabetical position of each letter.

Applying this logic to JUNIOR: First, reverse the word JUNIOR to get ROINUJ. Now, shift each letter by +3 positions: R (18) + 3 = 21 (U) O (15) + 3 = 18 (R) I (9) + 3 = 12 (L) N (14) + 3 = 17 (Q) U (21) + 3 = 24 (X) J (10) + 3 = 13 (M)

By combining these transformed letters, we obtain the code URLQXM.

Explanation

The numerical pattern follows the logic that the third number is three times the sum of the first two numbers. This can be expressed by the formula (n₁ + n₂) × 3 = n₃.

For the first set (4, 2, 18): (4 + 2) × 3 = 6 × 3 = 18

For the second set (1, 7, 24): (1 + 7) × 3 = 8 × 3 = 24

Applying the same logic to the third set (5, 4, ?): (5 + 4) × 3 = 9 × 3 = 27

Explanation

Substituting the mathematical signs from option d into the sequence 16 31 18 2 11 * 494 yields the equation 16 × 31 + 18 ÷ 2 - 11 = 494. Applying the BODMAS rule, division is performed first: 18 ÷ 2 = 9. Next, multiplication is carried out: 16 × 31 = 496. The equation becomes 496 + 9 - 11 = 494. Performing addition gives 496 + 9 = 505. Finally, subtraction results in 505 - 11 = 494. Since the left-hand side matches the right-hand side, the equation is balanced.

Explanation

The series follows a pattern where the difference between consecutive terms increases as multiples of 7. By calculating the difference between each term, we observe an arithmetic progression:

24 - 17 = 7 (7 × 1) 38 - 24 = 14 (7 × 2) 59 - 38 = 21 (7 × 3) 87 - 59 = 28 (7 × 4)

The differences are 7, 14, 21, and 28. To find the next number in the series, we must add the next multiple of 7, which is 7 × 5 = 35, to the last given term.

87 + 35 = 122

Explanation

To arrange the words in dictionary order, they must be compared letter by letter. All six words begin with the prefix Pen. Comparing the fourth letter of each word, Penalize (6) has an a, which comes first in the alphabet. Next are Pendants (2) and Pendulum (4), which both have the fourth letter d; comparing their fifth letters, a in Pendants precedes u in Pendulum, placing them in the order 2, 4. Following these is Penguins (1), where the fourth letter is g. Finally, Pentagon (5) and Penthouse (3) both have t as their fourth letter; comparing their fifth letters, a in Pentagon comes before h in Penthouse, placing them in the order 5, 3. Combining these steps, the correct alphabetical sequence is 6, 2, 4, 1, 5, 3.

Explanation

The relationship between the numbers in each pair follows the formula y = √(3x), where x is the first number and y is the second number.

In the first pair 192 : 24: y = √(3 × 192) = √(576) = 24

In the second pair 48 : 12: y = √(3 × 48) = √(144) = 12

Applying the same logic to the fifth number 432 to find the missing value: y = √(3 × 432) = √(1296) y = 36

Explanation

The code is derived by subtracting 2 from the alphabetical position of each letter. For OVHPI, O(15)-2=13, V(22)-2=20, H(8)-2=6, P(16)-2=14, and I(9)-2=7, resulting in the sequence 13206147.

Explanation

A Principal is the administrative head or the person in charge of a School, and similarly, a Jailer is the official in charge of a Prison. Options A, B, and C are professions that do not hold administrative authority over a prison.

Explanation

Based on the symbols provided, the expression S | Z § F % B % E @ G translates as follows: S is the mother of Z, and Z is the son of F, which makes S and F the parents of Z (S is the mother, F is the father). F, B, and E are brothers (F % B and B % E), and E is the father of G (E @ G). Therefore, Z is the son of E's brother (F), making option B correct. Option D is incorrect because B is Z's paternal uncle, not his maternal uncle.

Explanation

The series follows a consistent pattern where each corresponding letter in the cluster decreases by 3 positions in the alphabet: 1st letter (D-3=A, A-3=X, X-3=U, U-3=R), 2nd letter (M-3=J, J-3=G, G-3=D, D-3=A), 3rd letter (H-3=E, E-3=B, B-3=Y, Y-3=V), and 4th letter (R-3=O, O-3=L, L-3=I, I-3=F). Following this pattern for the missing cluster after XGBL yields UDYI.

Explanation

Blank and Empty are synonyms, both meaning containing nothing. Similarly, Void and Vacuum are synonyms that represent a state of total emptiness or a space devoid of matter.

Explanation

The logic followed in pairs A, B, and D is that the second number is obtained by squaring the first number and adding 2 (n² + 2). Specifically, 19² + 2 = 363, 13² + 2 = 171, and 7² + 2 = 51, whereas for option C, 3² + 2 would be 11, not 17.

Explanation

The coding pattern follows the numerical position of each letter in the English alphabet, where A = 1, B = 2, C = 3, and so on up to Z = 26. In the word DEAF, the positions are D = 4, E = 5, A = 1, and F = 6, which concatenates to 4516. In the word KILL, the positions are K = 11, I = 9, L = 12, and L = 12, which forms 1191212. Following this logic for the word LORD, the alphabetical positions are L = 12, O = 15, R = 18, and D = 4. When these numbers are placed together, the resulting code is 1215184.

Explanation

The logic for the letter-clusters depends on the numerical position of each letter in the alphabet, where A=1, B=2, …, Z=26. The general pattern for the groups in this set is based on consecutive additions of +6, +5, and +4 to the position values. PTXA is the odd cluster because it follows a +4, +4, and +3 progression. Mapping the letters to their positions gives P=16, T=20, X=24, and A=27 (treating A as the first letter after Z in a cyclic count). The steps for PTXA are calculated as 16 + 4 = 20, 20 + 4 = 24, and 24 + 3 = 27. This specific sequence of increments differs from the common logic applied to the other clusters.