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

Explanation

By interchanging the numbers 5 and 3, the given equation 15 + 5 × 8 - 72 ÷ 4 + 16 × 3 = 101 transforms into: 15 + 3 × 8 - 72 ÷ 4 + 16 × 5 = 101

Following the BODMAS rule, first perform the division and multiplication operations: 15 + 24 - 18 + 80 = 101

Next, combine the positive terms for addition: 15 + 24 + 80 - 18 = 119 - 18

Performing the final subtraction: 101 = 101

The calculation confirms that interchanging 5 and 3 makes the equation mathematically correct.

Explanation

The relationship follows a pattern where the four-letter word is divided into two halves, the halves are swapped, and then each letter is replaced by the next letter (+1) in the English alphabet.

In the first pair EYES, dividing the word into two halves gives EY and ES. Swapping these halves results in ESEY. Incrementing each letter by one (E+1=F, S+1=T, E+1=F, Y+1=Z) produces the code FTFZ.

In the second pair MIND, dividing the word gives MI and ND. Swapping the halves results in NDMI. Incrementing each letter by one (N+1=O, D+1=E, M+1=N, I+1=J) produces the code OENJ.

Applying this logic to the fifth term REST, dividing the word gives the halves RE and ST. Swapping these halves results in STRE. Incrementing each letter by one position in the alphabetical sequence (S+1=T, T+1=U, R+1=S, E+1=F) results in the term TUSF.

Explanation

The coding logic follows a specific pattern where vowels (A, E, I, O, U) remain unchanged, while consonants are replaced by the letter immediately preceding them in the English alphabet (n - 1). In the example CLERK, the consonants C, L, R, and K are shifted back by one position to B, K, Q, and J, while the vowel E remains E. In the word OFFICE, the vowels O, I, and E are kept as they are, and the consonants F and C are shifted back to E and B. Applying this logic to POST, the consonant P is replaced by O, the vowel O remains O, the consonant S is replaced by R, and the consonant T is replaced by S. Combining these results, the code for POST is OORS.

Explanation

The analogy is based on a synonymous relationship where the words in each pair share the same meaning. Obstinate and Stubborn are synonyms used to describe someone who is headstrong or refuses to change their mind. Similarly, Resolute means being admirably purposeful and unwavering in one's convictions. Determined is a synonym of Resolute, as both words describe a person who is firm in their decisions and shows great resolve in achieving a goal.

Explanation

The pattern shared by the groups is defined by the formula First Number + Second Number - Third Number = 28. Applying this operation to the values in option b, we get (36 + 88) - 80 = 124 - 80 = 44. Since the result 44 does not equal the common difference of 28, this option does not belong to the group.

Explanation

The numerical relationship follows a logic where the second number is six times the first number. This is verified by the provided examples:

In the first pair, the relationship is 17 × 6 = 102.

In the second pair, the relationship is 29 × 6 = 174.

Applying the same constant multiplier to the number 39, the calculation is 39 × 6 = 234.

Explanation

To determine how many letters remain in the same position, we compare the original word RICKET with its letters arranged in alphabetical order. The letters present in the word are R, I, C, K, E, and T. Arranging these letters alphabetically gives the sequence C, E, I, K, R, and T.

Original: R I C K E T Sorted: C E I K R T

Comparing the two sequences position by position shows that the letters at the fourth position (K) and the sixth position (T) are identical in both the original word and the alphabetically sorted arrangement. Since K and T are the only letters that do not change their positions, there are exactly two such letters.

Explanation

The relationship between P and T in the expression P× Q + R + S - T can be determined by breaking down the coded operations:

P× Q: P is the mother of Q (P is female, generation +1). Q + R: Q is the brother of R (Q and R are siblings). R + S: R is the brother of S (R and S are siblings). Combined, these show that Q, R, and S are siblings, and P is the mother of all three. S - T: S is the father of T (S is male, generation +1).

Calculating the generation gap: P is one generation above S, and S is one generation above T. Thus, P is two generations above T (+1 + 0 + 0 + 1 = +2). Since P is the mother of T's father (S), P is the grandmother of T. Among the provided options, Mother's mother is the only relation belonging to the grandmother generation.

Explanation

The series follows an arithmetic progression based on the numerical positions of the letters in the English alphabet, where A = 1, B = 2, C = 3, and so on. The pattern is defined by the formula nᵢ = nᵢ₋₁ + 2, where n represents the alphabetical position.

Converting the given letters to their numerical positions results in the following sequence: B (2), Blank 1, F (6), H (8), Blank 2, L (12), N (14), P (16), Blank 3, T (20), Blank 4, X (24).

The sequence of even numbers from 2 to 24 is 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24. Substituting the missing values with their corresponding letters: The first blank is 4, which corresponds to D. The second blank is 10, which corresponds to J. The third blank is 18, which corresponds to R. The fourth blank is 22, which corresponds to V.

The sequential combination of letters is DJRV.

Explanation

The series follows a pattern where the difference between consecutive terms increases by a constant value of 2. By calculating the differences between successive terms, we find: 75 - 66 = 9 86 - 75 = 11 99 - 86 = 13 114 - 99 = 15

The differences are 9, 11, 13, 15, which represent a sequence of consecutive odd numbers. The next difference in this arithmetic progression is 15 + 2 = 17. To find the missing number, add this difference to the last term in the series: 114 + 17 = 131

Explanation

The pattern in the given sets is: (Number 1 + 25 = Number 2), (Number 2 * 2 = Number 3), and (Number 3 + 15 = Number 4). Applying this to option B: 15 + 25 = 40, 40 * 2 = 80, and 80 + 15 = 95, which matches the sequence perfectly.

Explanation

The letter-clusters in the group follow a specific numerical pattern based on their positions in the English alphabet. For the clusters QST, ACD, and IKL, the gap between the first and second letter is +2, and the gap between the second and third letter is +1. In QST, Q(17) + 2 = S(19) and S(19) + 1 = T(20). In ACD, A(1) + 2 = C(3) and C(3) + 1 = D(4). In IKL, I(9) + 2 = K(11) and K(11) + 1 = L(12).

The cluster TWW does not follow this +2, +1 logic. In TWW, the gap between the first letter T and the second letter W is +3, as T(20) + 3 = W(23). The gap between the second letter W and the third letter W is 0, as W(23) + 0 = W(23). Because its positional increments are +3 and 0 rather than +2 and +1, it is the odd man out.

Explanation

The statements establish a nested relationship between the sets, which can be represented as Paper ⊆ Pencil ⊆ Eraser ⊆ Pen. Conclusion II is valid because the chain of logic shows that since all papers are pencils and all pencils are erasers, the set of papers is entirely contained within the set of erasers. In standard syllogistic logic, the universal affirmative All implies the particular affirmative Some, meaning if all papers are erasers, it is logically certain that some papers are erasers. Conclusion III is valid because all pencils are erasers and all erasers are pens, which implies that all pencils are pens. This inclusion relationship confirms that there is an intersection between the two categories, making the statement some pens are pencils a direct logical consequence of the fact that all pencils belong to the category of pens.

Explanation

The expression P - M + R + T x S is decoded according to the given conditions as follows:

P - M: P is the wife of M. This establishes that P is female and M is her husband.

M + R: M is the son of R. Given that M is the husband of P, R is P's parent-in-law.

R + T: R is the mother of T. Since M is also the son of R, M and T are siblings sharing the same mother, R.

T x S: T is the brother of S. This confirms that T is male.

Since M and T are siblings and T is male, T is the brother of M. Because M is the husband of P, T is the husband's brother of P.

Explanation

The series follows a pattern where each subsequent number is obtained by subtracting consecutive odd numbers starting from 25. The differences between consecutive terms are as follows:

543 - 518 = 25 518 - 495 = 23 495 - 474 = 21 474 - 455 = 19

The differences forming the pattern are 25, 23, 21, 19. This is a sequence of decreasing odd numbers with a common difference of 2. Following this logic, the next difference to be subtracted from the last term is 19 - 2 = 17.

By subtracting 17 from the last term of the series, we get: 455 - 17 = 438

Explanation

The word CARDBOARD consists of the letters C, A, R, D, B, O, A, R, and D. When arranged in alphabetical order, the sequence becomes A, A, B, C, D, D, O, R, R. In this newly formed cluster of nine letters, the alphabet situated fourth from the left end is C. The alphabet situated second from the right end is R.

To find the number of alphabets between C and R in the standard English alphabetical series, we use their numerical positions. The position of C is 3 and the position of R is 18. The number of letters lying strictly between two letters with positions n₁ and n₂ is calculated using the formula (n₂ - n₁) - 1. Substituting the values, we get (18 - 3) - 1 = 14. These 14 letters are D, E, F, G, H, I, J, K, L, M, N, O, P, and Q.

Explanation

The numbers in the given pairs follow a consistent multiplication pattern where the first number is 8 times the second number. In the first set, multiplying 13 by 8 results in 13 × 8 = 104. Following the same logic in the second set, multiplying 17 by 8 results in 17 × 8 = 136. To find the number related to 232, we divide 232 by 8. Performing the division 232 ÷ 8 gives 29.

Explanation

Conclusion I follows because of the transitive property of set inclusion. The statement All purses are wallets (P ⊆ W) combined with All wallets are sacks (W ⊆ S) logically necessitates that All purses are sacks (P ⊆ S). Since the entire set of purses is contained within the set of wallets, and the entire set of wallets is contained within the set of sacks, every purse is inevitably a sack.

Conclusion II follows through the intersection of sets. The statement Some bags are purses (B ∩ P ≠ ∅) establishes that there is at least one element that is both a bag and a purse. Given that All purses are wallets (P ⊆ W), any element that is a purse must also be a wallet. Consequently, the elements that are both bags and purses must also be wallets, which proves that Some wallets are bags (W ∩ B ≠ ∅).

Explanation

Based on the statements, we can establish a hierarchical relationship where All tables are sofas (T ⊆ S) and All sofas are benches (S ⊆ B). By the transitive property of subsets, this implies that All tables are benches (T ⊆ B ⊆ S is incorrect, the correct chain is T ⊆ S ⊆ B). This confirms that conclusion III is logically valid.

Furthermore, the statement No bench is chair establishes that the set of benches and the set of chairs are disjoint (B ∩ C = ∅). Since the set of tables is a subset of the set of benches (T ⊆ B), it follows that the set of tables must also be disjoint from the set of chairs (T ∩ C = ∅). This confirms that conclusion I is logically valid. Conversely, because all sofas are contained within the set of benches, no sofa can be a chair, which makes conclusion II logically impossible. Thus, only conclusions I and III follow.

Explanation

To find the code for the letter O, we compare the given words and their corresponding codes. In the word COWS (7935) and the word OILY (2568), the letter O is the only common character. By comparing the digit sequences 7935 and 2568, the digit 5 is the only common number present in both sets. Therefore, by matching the common elements between the words and the codes, the letter O must be represented by the digit 5.

Explanation

The pair 15–240 follows the mathematical relationship n : n(n + 1), where the second number is the product of the first number and its successor, calculated as 15 × 16 = 240. This differs from the pattern shared by the rest of the group, which follows the relationship n : n(n - 1). In the other pairs, the second number is the product of the first number and its predecessor, such as 21 × 20 = 420, 22 × 21 = 462, and 18 × 17 = 306.

Explanation

The letter cluster DHK corresponds to the alphabetical positions 4, 8, and 11. The increment between the first and second letters is +4, while the increment between the second and third letters is +3. This sequence is the odd one out because the other clusters are formed by a constant addition of 4 to the positional value of each preceding letter.

Explanation

The letter-clusters follow a fixed addition and subtraction pattern based on the alphabetical positions of the letters. The pattern applied to each four-letter cluster is (+1, +2, -1, -2).

In the first pair BACK : CCBI: B (2) + 1 = C (3) A (1) + 2 = C (3) C (3) - 1 = B (2) K (11) - 2 = I (9)

In the second pair TEST : UGRR: T (20) + 1 = U (21) E (5) + 2 = G (7) S (19) - 1 = R (18) T (20) - 2 = R (18)

Applying the same (+1, +2, -1, -2) logic to WORK: W (23) + 1 = 24, which is X O (15) + 2 = 17, which is Q R (18) - 1 = 17, which is Q K (11) - 2 = 9, which is I

The resulting letter-cluster is XQQI.

Explanation

The logic applied to the given pairs follows the formula y = 2x + 1, where x represents the first number and y represents the second number. In the first pair, 12 × 2 + 1 = 25. In the second pair, 11 × 2 + 1 = 23. Following this same rule for the pair in option c, the first number 21 relates to the second number as 21 × 2 + 1 = 43.

Explanation

To determine the number of letters whose positions remain unchanged, the letters of the word DOWNsIZE must be arranged in alphabetical order. The original sequence of letters is D, O, W, N, S, I, Z, E. Sorting these letters alphabetically results in the sequence D, E, I, N, O, S, W, Z.

A position-by-position comparison shows that at the first position, D remains unchanged. At the fourth position, N remains unchanged. For all other positions, the letters in the rearranged sequence differ from the original word: O is replaced by E, W by I, S by O, I by S, Z by W, and E by Z. Thus, exactly two letters, D and N, occupy the same positions in both the original word and the alphabetically sorted arrangement.

Explanation

The logic followed in the given pairs is a constant multiplication of the first number by 4 to obtain the second number. In the first pair, the relationship is established as 19 × 4 = 76. Similarly, in the second pair, the relationship is 27 × 4 = 108. Following this same pattern, the number related to 49 is calculated by multiplying it by 4, which yields 49 × 4 = 196.

Explanation

The given letter series follows a repeating pattern of a seven-letter unit, CARETCR. By dividing the 30-character sequence into blocks of seven, the missing letters can be identified as follows:

Positions 1 to 7: CARET_R. Filling the blank with C completes the first unit: CARETCR. Positions 8 to 14: CA_ETCR. Filling the blank with R completes the second unit: CARETCR. Positions 15 to 21: CAR_TCR. Filling the blank with E completes the third unit: CARETCR. Positions 22 to 28: _ARET_R. Filling the first blank with C and the second with C completes the fourth unit: CARETCR. Positions 29 to 30: CA. These are the first two letters of the next repetition.

The letters placed in the blanks from left to right are C, R, E, C, and C, which matches the sequence CRECC.

Explanation

The relationship follows the rule of opposite letters in the English alphabet, where the sum of the numerical positions of two related letters is 27. In the first example, L (12), I (9), S (19), and P (16) pair with O (15), R (18), H (8), and K (11) because 12 + 15 = 27, 9 + 18 = 27, 19 + 8 = 27, and 16 + 11 = 27. In the second example, W (23), A (1), N (14), and D (4) pair with D (4), Z (26), M (13), and W (23) using the same logic. Applying this to BOTE, the numerical positions are B (2), O (15), T (20), and E (5). Their corresponding opposites are 27 - 2 = 25 (Y), 27 - 15 = 12 (L), 27 - 20 = 7 (G), and 27 - 5 = 22 (V), which forms the related word YLGV.

Explanation

According to the instructions, the operators in the expression 61 - 42 × 6 + 9 + 27 are interchanged as follows: The minus sign - is interchanged with + (resulting in +). The multiplication sign × is interchanged with ÷. The first plus sign + is interchanged with ×. The second plus sign + is interchanged with -.

Substituting these changes into the original expression: 61 + 42 ÷ 6 × 9 - 27

Now, apply the BODMAS/VBODMAS rule (Division, Multiplication, Addition, Subtraction):

Step 1: Perform Division 42 ÷ 6 = 7 The expression becomes: 61 + 7 × 9 - 27

Step 2: Perform Multiplication 7 × 9 = 63 The expression becomes: 61 + 63 - 27

Step 3: Perform Addition 61 + 63 = 124 The expression becomes: 124 - 27

Step 4: Perform Subtraction 124 - 27 = 97

Explanation

The series follows a specific addition and subtraction pattern for each letter position in the four-letter clusters.

First letter: A (1), C (3), E (5), G (7), I (9). The pattern is +2. Second letter: E (5), G (7), I (9), K (11), M (13). The pattern is +2. Third letter: Y (25), W (23), U (21), S (19), Q (17). The pattern is -2. Fourth letter: T (20), R (18), P (16), N (14), L (12). The pattern is -2.

Applying these patterns to the third term EIUP, the next term is calculated as E+2=G, I+2=K, U-2=S, and P-2=N, resulting in the term GKSN.

Explanation

The letter-cluster IAK is the different one because its internal positional shifts do not match the -6 and +8 pattern. Using numerical positions in the English alphabet where A=1 and Z=26, the letters I (9), A (1), and K (11) show a decrease of 8 (9 - 1 = 8) and an increase of 10 (1 + 10 = 11). This deviates from the consistent logic where the second letter is 6 positions behind the first and the third letter is 8 positions ahead of the second.

Explanation

The given series follows a pattern where each subsequent number is obtained by subtracting consecutive even numbers in descending order.

88 - 10 = 78 78 - 8 = 70 70 - 6 = 64 64 - 4 = 60

The differences between the terms are 10, 8, 6, and 4. This is a decreasing arithmetic progression with a common difference of -2. To find the next two numbers, we continue subtracting the next values in this progression, which are 2 and 0.

60 - 2 = 58 58 - 0 = 58

The numbers that replace the question marks are 58 and 58.

Explanation

The relationship between the words Tame and Wild is one of antonymy, as they represent opposite states regarding domestication and natural behavior. To satisfy the analogy, the word paired with Adjacent must also be its antonym. While Adjacent means lying near, close, or contiguous, the word Distant means far apart or separated by a significant space, thereby completing the pair of opposites.

Explanation

To find the code for the letter A, compare the letters and digits of the two given words, BREAK and BROKE. The letters B, R, E, and K are present in both words. Examining the codes, the digits 1, 3, 5, and 7 are present in both 57123 and 91753. Since A is the only letter in BREAK that is not in BROKE, its code must be the only digit in 57123 that is not in 91753. By comparing the sets {5, 7, 1, 2, 3} and {9, 1, 7, 5, 3}, the unique digit in the code for BREAK is 2. Therefore, the letter A is represented by the digit 2.

Explanation

The relationship established between the numbers in each pair is based on a constant multiplier. For the first pair, the whole number 14 is multiplied by 3 to get 42 (14 × 3 = 42). In the second pair, the whole number 26 is similarly multiplied by 3 to result in 78 (26 × 3 = 78). Following this identical logic for the number 47, the calculation involves multiplying the whole number by 3: 47 × 3 = 141.

Explanation

The pair 12:152 is the odd one out because it does not follow the mathematical rule where the second number is 13 times the first number (y = x × 13). For the first number 12, the product should be 12 × 13 = 156. Since the second number provided in this pair is 152 instead of 156, it does not conform to the established logic of the set.

Explanation

The numerical relationship between the pairs is based on a constant addition of 11 to the first number of each pair to obtain the second. In the first set, 45 + 11 = 56. In the second set, the same pattern applies as 62 + 11 = 73. Following this consistent mathematical rule for the third set, we add 11 to the fifth number: 19 + 11 = 30.

Explanation

The code is generated by reversing the order of the letters in the given word and then shifting each letter one position forward in the alphabetical sequence (+1).

In the word CASE, the reversed order is ESAC. Applying the +1 shift to each letter: E becomes F, S becomes T, A becomes B, and C becomes D, which forms the code FTBD. Similarly, for the word CAKE, the reversed order is EKAC. Shifting each letter by +1: E becomes F, K becomes L, A becomes B, and C becomes D, resulting in the code FLBD.

Applying this logic to the word CALF, the reversed sequence is FLAC. When each letter is shifted forward by one position: F → G, L → M, A → B, and C → D. Therefore, the code for CALF is GMBD.

Explanation

To determine how Q is related to T, we decode the expression P + Q × R - S ÷ T step by step using the given definitions:

P + Q: Since A + B means A is the husband of B, P is the husband of Q. This establishes that Q is female and is the wife of P. Q × R: Since A × B means B is the sister of A, R is the sister of Q. This means Q and R are sisters. R - S: Since A - B means B is the mother of A, S is the mother of R. Because Q and R are sisters, S is also the mother of Q. S ÷ T: Since A ÷ B means A is the daughter of B, S is the daughter of T.

Combining these relations, S is the daughter of T, and Q is the daughter of S. Therefore, Q is the granddaughter of T. Specifically, Q is the daughter's daughter of T.

Explanation

The logic followed in the given sets is that the second number is twice the product of the first and third numbers. Let the numbers in each set be (a, b, c). The relationship is defined by the formula b = 2 × (a × c).

In the first set (25, 300, 6), the calculation is 25 × 6 × 2 = 150 × 2 = 300. In the second set (19, 342, 9), the calculation is 19 × 9 × 2 = 171 × 2 = 342.

Applying this same logic to the set (18, 288, 8), the calculation is 18 × 8 × 2 = 144 × 2 = 288. This matches the pattern found in the initial sets.

Explanation

The coding pattern follows a constant forward shift of +2 for each letter in the word. In the word TIZZ, T (20) moves to V (22), I (9) moves to K (11), and Z (26) moves to B (2) by wrapping around the alphabet. Similarly, in the word QOPH, the letters shift as Q (17) to S (19), O (15) to Q (17), P (16) to R (18), and H (8) to J (10). Applying this +2 positional shift to the word CKAU, we get C (3) + 2 = E (5), K (11) + 2 = M (13), A (1) + 2 = C (3), and U (21) + 2 = W (23). Therefore, CKAU is coded as EMCW.

Explanation

The word SIMILAR undergoes a transformation where consonants are replaced by the preceding letter and vowels are replaced by the following letter in the English alphabetical order. Applying these rules, the first letter S (consonant) becomes R, the second letter I (vowel) becomes J, and the third letter M (consonant) becomes L. The resulting sequence begins with R, J, L.

The question asks for the number of letters in the English alphabetical order between the second letter from the left, J, and the third letter from the left, L. In the standard English alphabet, the sequence of letters is ... H, I, J, K, L, M ... where only the letter K exists between J and L. Therefore, there is exactly one letter between them.

Explanation

The series follows a specific pattern for each letter position in the clusters. For the first letter, the pattern is a constant subtraction of 3 from the positional value of the previous letter: I (9) minus 3 is F (6), F (6) minus 3 is C (3), and C (3) minus 3 leads to Z (26). Subtracting 3 from Z (26) results in W (23).

For the second letter, the pattern is a constant addition of 2: C (3) plus 2 is E (5), E (5) plus 2 is G (7), and G (7) plus 2 is I (9). Adding 2 to I (9) results in K (11).

For the third letter, the pattern is a constant subtraction of 1: T (20) minus 1 is S (19), S (19) minus 1 is R (18), and R (18) minus 1 is Q (17). Subtracting 1 from Q (17) results in P (16). Combining these results gives the cluster WKP.

Explanation

The series follows a consistent pattern where each component of the term increases by 3. For the first letter, the sequence is O (15), R (18), U (21), and X (24). Adding 3 to 24 results in 27, which wraps around the alphabet to the 1st letter, A. For the second letter, the sequence is A (1), D (4), G (7), and J (10). Adding 3 to 10 results in 13, which corresponds to the letter M. The numerical part of the terms follows the sequence 33, 36, 39, and 42, showing a constant addition of 3. Adding 3 to 42 results in 45. Combining the first letter A, the second letter M, and the number 45 produces the next term AM45.

Explanation

The coding logic follows the formula where each letter is replaced by the letter immediately following its alphabetical opposite. The opposite position of a letter is calculated as 27 - original position. Thus, the final code index is calculated as (27 - position) + 1.

For the word FIGURE: F (6) becomes 27 - 6 = 21 (U), and U + 1 = V I (9) becomes 27 - 9 = 18 (R), and R + 1 = S G (7) becomes 27 - 7 = 20 (T), and T + 1 = U U (21) becomes 27 - 21 = 6 (F), and F + 1 = G R (18) becomes 27 - 18 = 9 (I), and I + 1 = J E (5) becomes 27 - 5 = 22 (V), and V + 1 = W Result: VSUGJW

Applying this pattern to BLANKET: B (2) becomes 27 - 2 = 25 (Y), and Y + 1 = Z L (12) becomes 27 - 12 = 15 (O), and O + 1 = P A (1) becomes 27 - 1 = 26 (Z), and Z + 1 = 27 (A) N (14) becomes 27 - 14 = 13 (M), and M + 1 = N K (11) becomes 27 - 11 = 16 (P), and P + 1 = Q E (5) becomes 27 - 5 = 22 (V), and V + 1 = W T (20) becomes 27 - 20 = 7 (G), and G + 1 = H

The resulting code for BLANKET is ZPANQWH.

Explanation

The relationship between the first pair of words, Simple and Basic, is one of synonymy, as both terms describe things that are uncomplicated or fundamental. To maintain this analogy, the word related to Difficult must also be a synonym. Complex is the correct choice because it describes something that is intricate or hard to understand, serving as a direct synonym for Difficult in this context.

Explanation

The relationship between M and T can be determined by decoding the expression M # N @ L × P + T using the provided definitions. Starting from the connection to T, the segment P + T indicates that P is the son of T. The next part, L × P, means L is the wife of P, making L the daughter-in-law of T. The segment N @ L shows that N is the father of L, meaning N is the father of the son's wife. Finally, M # N establishes that M is the sister of N. By tracing these links, M is identified as the sister of the father of the wife of the son of T. Therefore, M is the son's wife's father's sister.

Explanation

The problem involves interchanging mathematical operators and solving the resulting expression using the BODMAS/VBODMAS rule. Based on the structure of the equation and the options provided, the interchanges are between ÷ and ×, and between + and -.

The given equation is: 229 ÷ 41 + 502 × 2 - 44

Applying the interchanges (÷ ↔ × and + ↔ -): 229 × 41 - 502 ÷ 2 + 44

Following the order of operations:

Division: 502 ÷ 2 = 251

Multiplication: 229 × 41 = 9389

Addition and Subtraction: 9389 - 251 + 44 9138 + 44 = 9182

Explanation

The logic followed in the given triads is: (First number × Second number) + 17 = Third number.

For the first triad (3, 5, 32): (3 × 5) + 17 = 15 + 17 = 32

For the second triad (9, 1, 26): (9 × 1) + 17 = 9 + 17 = 26

Applying the same logic to the options, specifically option c) (6, 1, 23): (6 × 1) + 17 = 6 + 17 = 23

Explanation

Based on the rules for interchanging mathematical operators, the equation 4 - 5÷ 9 + 6× 2 is evaluated by substituting the signs as follows: The minus sign - is interchanged with the plus sign +. The division sign ÷ is interchanged with the multiplication sign ×. The plus sign + is interchanged with the minus sign -. The multiplication sign × is interchanged with the division sign ÷.

Substituting these into the original equation: 4 + 5 × 9 - 6 ÷ 2

Now, applying the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction): First, perform the division and multiplication: 4 + (5 × 9) - (6 ÷ 2) 4 + 45 - 3

Next, perform the addition: 49 - 3

Finally, perform the subtraction: 46