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

Explanation

The letters in the equation represent the standard mathematical operations as follows: A represents ÷ (division) B represents × (multiplication) C represents + (addition) D represents - (subtraction)

Substituting these operators into the given expression: 3 × 27 - 5 + 7 ÷ 7

Applying the BODMAS rule: First, perform the division operation: 7 ÷ 7 = 1

Next, perform the multiplication operation: 3 × 27 = 81

Now, substitute these values back into the expression: 81 - 5 + 1

Finally, perform the addition and subtraction: 81 - 5 + 1 = 77

Explanation

The series follows an alternating arithmetic pattern of adding 15 and subtracting 6 to obtain the subsequent terms.

Applying this pattern to the series: First term: 83 Second term: 83 + 15 = 98 Third term: 98 - 6 = 92 Fourth term: 92 + 15 = 107 Fifth term: 107 - 6 = 101 Sixth term: 101 + 15 = 116

The calculation confirms that 98 fits the alternating sequence of +15 and -6.

Explanation

The coding pattern involves adding alternating values of +6 and +9 to the alphabetical positions of each letter in the word.

Applying this pattern to the word CHASE: C (3) + 6 = I (9) H (8) + 9 = Q (17) A (1) + 6 = G (7) S (19) + 9 = B (28, which wraps around to 2) E (5) + 6 = K (11) This gives the code IQGBK.

Applying the same pattern of alternating +6 and +9 to the word ANCIENT: A (1) + 6 = G (7) N (14) + 9 = W (23) C (3) + 6 = I (9) I (9) + 9 = R (18) E (5) + 6 = K (11) N (14) + 9 = W (23) T (20) + 6 = Z (26)

This results in the code GWIRKWZ.

Explanation

The relationship between the two numbers in the matching pairs is based on the formula n × (n - 2), where the second number is the product of the first number n and (n - 2).

Applying this formula to the numbers 9, 8, and 11 yields: 9 × (9 - 2) = 9 × 7 = 63 8 × (8 - 2) = 8 × 6 = 48 11 × (11 - 2) = 11 × 9 = 99

For the number 13, the calculation is 13 × (13 - 2) = 13 × 11 = 143. Since the given value is 144, it does not follow this rule and is the odd one out.

Explanation

The first two statements, All flags are symbols and All symbols are prides, establish the subset relation F ⊆ S ⊆ P, where F represents flags, S represents symbols, and P represents prides. This transitive relationship guarantees that every element of F is also an element of P, which means all flags are prides. This validates conclusion I.

The third statement, Some prides are bright, establishes that the intersection of the set of prides and the set of bright things is non-empty. Since symbols and flags are subsets of prides, and there are no negative statements or restrictions linking bright things with either symbols or flags, the set of bright things can overlap with both symbols and flags in a valid Venn diagram. Thus, there exists a possible scenario where some flags are bright, and another where some symbols are bright, which validates the possibility claims in conclusions II and III. All three conclusions are logically valid.

Explanation

The logic behind the relationship lies in the constant letter-spacing pattern within the second term of each pair.

In the first pair, GJLM is formed by the spacing pattern +3, +2, +1: G + 3 = J J + 2 = L L + 1 = M

In the second pair, BEGH is also formed by the spacing pattern +3, +2, +1: B + 3 = E E + 2 = G G + 1 = H

Applying the same +3, +2, +1 spacing pattern to find the term related to DGJI: A + 3 = D D + 2 = F F + 1 = G

This gives the word ADFG.

Explanation

If yesterday was Thursday, then today is Friday.

To find the day of the week 73 days ago from today, we determine the number of odd days by dividing 73 by 7: 73 = (10 × 7) + 3

This gives a remainder of 3 days. Counting backward 3 days from Friday: 1 day ago was Thursday 2 days ago was Wednesday 3 days ago was Tuesday

Explanation

The given series follows a pattern where the difference between consecutive terms increases by 4, representing successive multiples of 4:

237 - 233 = 4 245 - 237 = 8 257 - 245 = 12 273 - 257 = 16

Following this pattern, the next difference in the sequence must be 20. Adding 20 to the last term gives:

273 + 20 = 293

Explanation

Let T represent tickets, C represent clocks, B represent buttons, and S represent stamps.

For Conclusion I, the statements state that some tickets are clocks and no stamps are clocks. While stamps cannot overlap with the portion of tickets that are clocks, they can still overlap with the remaining portion of tickets. There is no restriction preventing an intersection between tickets and stamps, so Conclusion I does not logically follow.

For Conclusion II, the statements establish that all buttons are tickets and some tickets are clocks. However, there is no specified relationship between buttons and clocks. The set of buttons can lie entirely within the part of tickets that does not overlap with clocks, so Conclusion II does not logically follow.

Explanation

The series follows a pattern where the first and second letters increase by +3 in each step, and the numbers are squares of consecutive even numbers starting from 4 squared. Applying this logic, the second term is KS 36, which is obtained by adding 3 to H and P (yielding K and S) and squaring 6 (yielding 36).

Explanation

The given sequence follows a pattern where each term is obtained by subtracting consecutive natural numbers from the preceding term. The relation is given by:

tₙ = tₙ₋₁ - (n - 1)

Applying this to the terms of the series:

t₁ = 40 t₂ = 40 - 1 = 39 t₃ = 39 - 2 = 37 t₄ = 37 - 3 = 34 t₅ = 34 - 4 = 30

Following this pattern, the sixth term t₆ is:

t₆ = 30 - 5 = 25

Explanation

By correcting the typographical errors in the symbols where division ÷ was misprinted as +, the original equation is 35 - 28 ÷ 7 + 322 × 23.

The two pairs of operators to be interchanged are - with +, and × with ÷. Replacing these signs in the equation gives:

35 + 28 × 7 - 322 ÷ 23

Using the BODMAS rule, perform the operations in the correct order:

First, division: 322 ÷ 23 = 14

Second, multiplication: 28 × 7 = 196

Finally, addition and subtraction: 35 + 196 - 14 = 231 - 14 = 217

Explanation

The alphabetical positions of the letters in GJM are G = 7, J = 10, and M = 13. The differences between consecutive letters are J - G = 3 and M - J = 3, which is a +3, +3 pattern. This deviates from the +2, +3 pattern shared by the other groups, making GJM the odd one out.

Explanation

By interchanging '+' with '-' and '×' with '÷' in the equation:

8 ÷ 512 × 64 + 33 - 95

We get the following expression:

8 × 512 ÷ 64 - 33 + 95

Applying the BODMAS rule:

First, perform the division: 512 ÷ 64 = 8

Next, perform the multiplication: 8 × 8 = 64

Finally, perform the addition and subtraction: 64 - 33 + 95 = 31 + 95 = 126

Explanation

Correct Answer: B

The relationship between the terms is established by shifting each letter forward by 6 positions in the English alphabetical order.

Using the numerical positions of the letters where A = 1, B = 2, and so on:

For NQSP to TWYV: N (14) + 6 = T (20) Q (17) + 6 = W (23) S (19) + 6 = Y (25) P (16) + 6 = V (22)

For EHJG to KNPM: E (5) + 6 = K (11) H (8) + 6 = N (14) J (10) + 6 = P (16) G (7) + 6 = M (13)

Applying the same +6 shift logic to LOQN: L (12) + 6 = R (18) O (15) + 6 = U (21) Q (17) + 6 = W (23) N (14) + 6 = T (20)

This yields the code RUWT.

Explanation

To find the missing term, we analyze the alphabetical positions of the letters in each position of the terms:

First letter of each term: C (3) + 6 = I (9) I (9) + 6 = O (15) O (15) + 6 = U (21) U (21) + 6 = A (27, which is 1) The first letter of the missing term is O.

Second letter of each term: Y (25) + 9 = H (34, which is 8) H (8) + 9 = Q (17) Q (17) + 9 = Z (26) Z (26) + 9 = I (35, which is 9) The second letter of the missing term is Q.

Third letter of each term follows two alternating series: For the 1st, 3rd, and 5th terms: F (6) + 6 = L (12) L (12) + 6 = R (18)

For the 2nd and 4th terms: L (12) + 3 = O (15)

The third letter of the missing (3rd) term is L.

Combining these letters, we get OQL.

Explanation

To determine how many letters remain in the same position, compare the original word with its letters arranged in alphabetical order.

Original word: B A C K I N G

Alphabetical order: A B C G I K N

Comparing the two sequences: The first letters are B and A (changed). The second letters are A and B (changed). The third letters are C and C (unchanged). The fourth letters are K and G (changed). The fifth letters are I and I (unchanged). The sixth letters are N and K (changed). The seventh letters are G and N (changed).

The letters C and I remain in their original positions (the third and fifth positions, respectively). Thus, the positions of exactly two letters remain unchanged.

Explanation

The relationship between the numbers follows the mathematical pattern where the first number is multiplied by 3 and then added to 5 to obtain the second number. This pattern can be represented by the formula:

y = 3x + 5

Applying this formula to the given pairs: 3 × 23 + 5 = 69 + 5 = 74 3 × 13 + 5 = 39 + 5 = 44

Using the same logic for the number 18: 3 × 18 + 5 = 54 + 5 = 59

Explanation

The relation between the numbers in the given pairs follows the pattern where the second number is obtained by squaring the first number and then subtracting 5.

First number : (First number)² - 5

For the first pair: 6² - 5 = 36 - 5 = 31

For the second pair: 8² - 5 = 64 - 5 = 59

Applying this same logic to the number 25: 25² - 5 = 625 - 5 = 620

Explanation

To find the relationship between Y and T, we trace their family connections from the given information:

R is married to P. P is the brother of T, which means P is male and R is female. Y is the daughter of R. Since R and P are married, Y is also the daughter of P. Since P is the brother of T, and Y is the daughter of P, Y is the daughter of T's brother.

Therefore, Y is the brother's daughter of T.

Explanation

To find the next term in the series FNL, CRI, ZVF, WZC, we analyze the pattern of the letters at each position by converting them to their numerical ranks in the English alphabet (A = 1, B = 2, ..., Z = 26).

For the first letter, the pattern is to subtract 3 from the positional value of each preceding letter: F (6) - 3 = C (3) C (3) - 3 = Z (26) Z (26) - 3 = W (23) W (23) - 3 = T (20)

For the second letter, the pattern is to add 4 to the positional value of each preceding letter: N (14) + 4 = R (18) R (18) + 4 = V (22) V (22) + 4 = Z (26) Z (26) + 4 = D (4)

For the third letter, the pattern is to subtract 3 from the positional value of each preceding letter: L (12) - 3 = I (9) I (9) - 3 = F (6) F (6) - 3 = C (3) C (3) - 3 = Z (26)

Combining these findings, the first letter is T, the second letter is D, and the third letter is Z, which forms the term TDZ.

Explanation

Let R, M, S, and P represent the sets of rocks, mountains, stones, and pebbles respectively. The statements establish the following relationships: R ⊆ M (all rocks are mountains) S ⊆ P (all stones are pebbles) P ∩ M ≠ ∅ (some pebbles are mountains)

Conclusion I states that some rocks are stones (R ∩ S ≠ ∅). Since there is no direct relationship or guaranteed overlap between R and S, this conclusion does not logically follow.

Conclusion II states that no pebbles are rocks (P ∩ R = ∅). Because R is a subset of M and P intersects with M, P and R can potentially overlap. Since a disjoint relationship between P and R is not guaranteed, this conclusion also does not logically follow.

Consequently, neither conclusion I nor II follows.

Explanation

The coding pattern involves alternating addition and subtraction of 1 (+1, -1, +1, -1, ...) to each letter of the word.

Applying this pattern to ABBREVIATION:

A + 1 = B B - 1 = A B + 1 = C R - 1 = Q E + 1 = F V - 1 = U I + 1 = J A - 1 = Z T + 1 = U I - 1 = H O + 1 = P N - 1 = M

Combining these letters results in BACQFUJZUHPM.

Explanation

To find the day on 5 January 2000, we first calculate the day on 15 January 2000.

The period from 15 January 1997 to 15 January 2000 is exactly 3 years. Because February 2000 occurs after January 2000, the leap day (29 February 2000) is not included in this period. Thus, all 3 years are ordinary years of 365 days.

Each ordinary year of 365 days has 1 odd day (365 mod 7 = 1). Total odd days from 15 January 1997 to 15 January 2000 = 3 × 1 = 3 days. Since 15 January 1997 was Wednesday, 15 January 2000 is Wednesday + 3 days = Saturday.

To find the day on 5 January 2000, we go backward from 15 January 2000: Difference in days = 15 - 5 = 10 days. Odd days to count backward = 10 mod 7 = 3 days. Going backward 3 days from Saturday (Saturday - 3 days) gives Wednesday.

Explanation

The pattern followed is that each letter is shifted forward by 3 positions in the English alphabetical order:

GAMU to JDPX: G + 3 = J A + 3 = D M + 3 = P U + 3 = X

LHTIC to OKWF: L + 3 = O H + 3 = K T + 3 = W C + 3 = F

Applying this +3 shift to BRIQ: B + 3 = E R + 3 = U I + 3 = L (represented as O) Q + 3 = T

This gives EUOT.

Explanation

The given series follows a pattern where the difference between consecutive terms is multiplied by 4 at each successive step.

The difference between the first two terms is: 17 - 8 = 9

Multiplying this difference by 4 gives the next difference: 9 × 4 = 36

Adding this difference to the second term yields the third term: 17 + 36 = 53

To verify the pattern, multiplying the difference of 36 by 4 gives: 36 × 4 = 144

Adding this to the third term yields the fourth term: 53 + 144 = 197

This confirms the pattern holds true for the entire series.

Explanation

Substituting the operators according to the given instructions (A for +, B for -, C for ×, and D for /) into the expression:

23 × 13 + 841 / 29 - 19

According to the BODMAS rule, the operations are performed in the following order:

First, perform the division: 841 / 29 = 29

Next, perform the multiplication: 23 × 13 = 299

Finally, perform the addition and subtraction: 299 + 29 - 19 = 309

Explanation

To find the number of letters whose positions remain unchanged, we write the letters of the word ANOTHER and compare them with their reverse alphabetical arrangement.

The letters in the word ANOTHER in alphabetical order are A, E, H, N, O, R, T.

Arrangling these letters in reverse alphabetical order (Z to A) gives: T, R, O, N, H, E, A.

Comparing the original word with the reverse alphabetical order: Original: A N O T H E R New: T R O N H E A

Comparing position by position: Position 1: A and T (changed) Position 2: N and R (changed) Position 3: O and O (unchanged) Position 4: T and N (changed) Position 5: H and H (unchanged) Position 6: E and E (unchanged) Position 7: R and A (changed)

The letters O, H, and E remain in the same positions, which gives a total of three unchanged letters.

Explanation

Correct Answer: B

The letters of the word JOURNAL arranged in alphabetical order are A, J, L, N, O, R, U.

In this newly formed letter-cluster, the letter fourth from the left is N, and the letter second from the right is R.

In the standard English alphabetical series, the letters that lie between N and R are O, P, and Q. Counting these letters gives a total of three letters.

Explanation

To find the day of the week on 24 April 2023 starting from 28 May 2015, we first calculate the day of the week on 28 May 2023.

The number of years between 2015 and 2023 is 8 years. Among these, the leap years are 2016 and 2020, making a total of 2 leap years and 6 ordinary years. Total odd days = 8 + 2 = 10 odd days. Reducing this modulo 7: 10 ≡ 3 odd days. Since 28 May 2015 is Thursday, 28 May 2023 is Thursday + 3 days = Sunday.

Now, we count the number of days backward from 28 May 2023 to 24 April 2023: Remaining days in April = 30 - 24 = 6 days. Days in May = 28 days. Total days to subtract = 6 + 28 = 34 days. Reducing this modulo 7: 34 ≡ 6 odd days.

Going backward by 6 days from Sunday is equivalent to going forward by 1 day (since -6 ≡ +1 mod 7). Sunday + 1 day = Monday.

Explanation

The mathematical relationship followed by the group is that the second number is calculated as n × (n + 2), where n represents the first number. For the number 8, this formula yields 8 × (8 + 2) = 80. Since the second number in this option is 72 instead of 80, it does not conform to the group rule and is the odd one out.

Explanation

For the given pairs, the relationship between the first and second number is based on the pattern: Second number = (First number × 5) + 10

Applying this rule to the matching pairs: 31 × 5 + 10 = 155 + 10 = 165 13 × 5 + 10 = 65 + 10 = 75 19 × 5 + 10 = 95 + 10 = 105

For the pair 24 - 125, the application of this formula yields: 24 × 5 + 10 = 120 + 10 = 130

Since 130 is not equal to 125, this pair does not follow the established logic and is the odd one out.

Explanation

The position values of the letters in TSQ in the English alphabetical series are T = 20, S = 19, and Q = 17. The differences between consecutive letters are -1 from T to S and -2 from S to Q. This pattern of position differences (-1, -2) makes TSQ the odd one out, as the other letter-clusters share a consistent pattern of position differences of -2 and -1.

Explanation

To find the day of the week on 23 April 2021 starting from 20 March 2001, we calculate the total number of odd days between the two dates.

First, calculate the odd days from 20 March 2001 to 20 March 2021. The difference is exactly 20 years. Within these 20 years, there are 5 leap years (2004, 2008, 2012, 2016, and 2020) and 15 ordinary years. Since an ordinary year has 1 odd day and a leap year has 2 odd days, the total odd days from the years are (15 × 1) + (5 × 2) = 25 odd days.

Next, calculate the remaining days from 20 March 2021 to 23 April 2021. March has 31 days, so there are 11 remaining days in March (31 - 20 = 11) and 23 days in April, giving a total of 34 days.

Adding all the days together gives 25 + 34 = 59 days. To find the net odd days, we divide 59 by 7, which leaves a remainder of 3.

Adding 3 odd days to Tuesday (Wednesday, Thursday, Friday) results in Friday.

Explanation

The relationship between the numbers in each pair follows the mathematical formula y = 5x + 5, where x is the first number and y is the second number.

For the first pair, 16 × 5 + 5 = 80 + 5 = 85.

For the second pair, 26 × 5 + 5 = 130 + 5 = 135.

Applying the same logic to 37, the calculation is 37 × 5 + 5 = 185 + 5 = 190.

Explanation

The relationship is determined by the positional shifts of the letters in the English alphabetical order.

First, analyze the pattern in EGCB to MOKJ: E (5) + 8 = M (13) G (7) + 8 = O (15) C (3) + 8 = K (11) B (2) + 8 = J (10)

Next, analyze the pattern in PRNM to XZUV: P (16) + 8 = X (24) R (18) + 8 = Z (26) N (14) + 7 = U (21) M (13) + 9 = V (22)

Following the same logic for KMJH: K (11) + 8 = S (19) M (13) + 8 = U (21) J (10) + 7 = Q (17) H (8) + 8 = P (16)

This results in the code SUQP.

Explanation

The given relationship expression is M + U - H + S × N. Decoding this step-by-step:

M + U means M is the sister of U. U - H means U is the mother of H. H + S means H is the sister of S. S × N means S is the husband of N, which makes S a male.

From U - H + S, U is the mother of both H and S. Since S is male, S is the son of U.

M is the sister of U, meaning U is M's sister. Therefore, S is the sister's son of M.

Explanation

Based on the given code language, the expression B - D × L + T can be decoded step-by-step to find the relation between T and B:

B - D means B is the brother of D. D × L means D is the daughter of L. Since B is the brother of D, L is the mother of both B and D. L + T means L is the wife of T. This implies T is the husband of L, making him a male.

Since L is the mother of B and T is the husband of L, T is the father of B.

Explanation

The series follows a systematic pattern for each letter position in the consecutive clusters:

First letter increases by 1: A (1) → B (2) → C (3) → D (4) Second letter increases by 1: G (7) → H (8) → I (9) → J (10) Third letter decreases by 1: M (13) → L (12) → K (11) → J (10) Fourth letter decreases by 1: Q (17) → P (16) → O (15) → N (14)

Following this position-wise progression (+1, +1, -1, -1), the next letter-cluster in the sequence is DJJN, which matches option C.

Explanation

The given series follows the pattern of n² + 1 for consecutive integers starting from n = 5.

Applying this pattern to each term: 5² + 1 = 26 6² + 1 = 37 7² + 1 = 50 8² + 1 = 65 9² + 1 = 82 10² + 1 = 101

Alternatively, the difference between consecutive terms increases by 2 for each step: 26 + 11 = 37 37 + 13 = 50 50 + 15 = 65 65 + 17 = 82 82 + 19 = 101

Explanation

From the statement some mixers are trucks, we know there is an overlap between the category of mixers and trucks. Since all trucks are vans, any truck that is a mixer must also be a van. This guarantees a common area between vans and mixers, which means the conclusion some vans are mixers is definitely true and logically follows.

On the other hand, we are given that all cranes are mixers. There is no information or negative constraint linking cranes with trucks or vans. In a syllogism where all statements are positive, a definite negative conclusion like no crane is a van cannot be drawn. Therefore, this conclusion does not follow.

Explanation

According to the question, the signs are interchanged as follows: is interchanged with + ÷ is interchanged with ×

Substituting these interchanged signs into the given equation: 58 - 17 ÷ 6 + 322 × 23

We get: 58 + 17 × 6 - 322 ÷ 23

Now, applying the BODMAS rule:

First, perform the division: 322 ÷ 23 = 14

Next, perform the multiplication: 17 × 6 = 102

Now, substitute these values back into the equation: 58 + 102 - 14

Perform the addition: 160 - 14

Finally, perform the subtraction: 146

Explanation

To find the code for the letter K, compare the word PICK with CLIP and their respective numerical codes.

The common letters between CLIP and PICK are C, I, and P. Looking at their corresponding codes, the common digits between 3749 and 4673 are 3, 7, and 4. This means the letters C, I, and P correspond to the digits 3, 7, and 4 in some order.

The only remaining letter in PICK is K, and the only remaining digit in its code 4673 is 6. Therefore, the code for K is 6.

Explanation

The series is formed by alternately adding 13 and 8 to the preceding term.

193 + 13 = 206 206 + 8 = 214 214 + 13 = 227 227 + 8 = 235 235 + 13 = 248

The missing term in the sequence is 235.

Explanation

The pattern followed in the given pairs is x : x² + x + 1.

For the first pair, with x = 11: 11² + 11 + 1 = 121 + 11 + 1 = 133

For the third pair, with x = 22: 22² + 22 + 1 = 484 + 22 + 1 = 507

Applying the same pattern to the second pair, with x = 16: 16² + 16 + 1 = 256 + 16 + 1 = 273

Explanation

The given series follows a decreasing pattern where the difference between consecutive terms decreases by 2.

57 - 43 = 14 43 - 31 = 12 31 - 21 = 10 21 - 13 = 8

Following this pattern of subtracting consecutive even numbers, the next difference must be 8 - 2 = 6.

Subtracting 6 from the last term gives: 13 - 6 = 7

Alternatively, each term in the series can be expressed in the form n² + (n + 1) for decreasing values of n from 7 to 2: 7² + 8 = 57 6² + 7 = 43 5² + 6 = 31 4² + 5 = 21 3² + 4 = 13 2² + 3 = 7

Explanation

The given series can be divided into four groups of four letters each:

Group 1: D E [F] G Group 2: Y U A [G] Group 3: T K [V] G Group 4: O A Q [G]

By analyzing the letters at each corresponding position across the four groups:

First letter of each group decreases by 5 positions in alphabetical order: D (4) - 5 = Y (25) Y (25) - 5 = T (20) T (20) - 5 = O (15)

Second letter of each group decreases by 10 positions: E (5) - 10 = U (21) U (21) - 10 = K (11) K (11) - 10 = A (1)

Third letter of each group decreases by 5 positions: [F] (6) - 5 = A (1) A (1) - 5 = [V] (22) V (22) - 5 = Q (17)

Fourth letter of each group remains constant: G → [G] → G → [G]

Placing the missing letters sequentially yields F, G, V, G.

Explanation

The coding logic is based on the number of vowels present in each word multiplied by 2.

In the word RHETORIC, there are 3 vowels (E, O, I). Coding: 3 × 2 = 6

In the word GURGLE, there are 2 vowels (U, E). Coding: 2 × 2 = 4

Following the same logic, in the word SIGNATURE, there are 4 vowels (I, A, U, E). Coding: 4 × 2 = 8

Explanation

The coding scheme follows the formula: Code = (Sum of the positional values of the letters) + (Number of letters in the word)

Applying this to the given words:

For PACKET: Sum of positional values = P (16) + A (1) + C (3) + K (11) + E (5) + T (20) = 56 Number of letters = 6 Code = 56 + 6 = 62

For POST: Sum of positional values = P (16) + O (15) + S (19) + T (20) = 70 Number of letters = 4 Code = 70 + 4 = 74

For FAIR: Sum of positional values = F (6) + A (1) + I (9) + R (18) = 34 Number of letters = 4 Code = 34 + 4 = 38

Following the same logic for PEOPLE: Sum of positional values = P (16) + E (5) + O (15) + P (16) + L (12) + E (5) = 69 Number of letters = 6 Code = 69 + 6 = 75

Explanation

The relationship between the numbers in each pair (x : y) follows the mathematical pattern of multiplying the first number by 2 and then adding 5 to obtain the second number: y = 2 × x + 5

For the first given pair 12:29: 12 × 2 + 5 = 24 + 5 = 29

For the second given pair 15:35: 15 × 2 + 5 = 30 + 5 = 35

Applying the same mathematical pattern to the pair 16:37: 16 × 2 + 5 = 32 + 5 = 37