SSC CHSL Tier 1 2021 General Intelligence & Reasoning Questions with Solutions

Explanation

To find the day of the week on 25 December 2010, calculate the total number of days between 31 December 2009 and 25 December 2010.

Since 2010 is a non-leap year, it contains 365 days. The number of days from 31 December 2009 to 25 December 2010 is 6 days less than a full year of 365 days.

Total days = 365 - 6 = 359 days

To find the number of odd days, divide the total days by 7: 359 ÷ 7 = 51 weeks and 2 odd days

Adding 2 odd days to Thursday yields Saturday.

Explanation

Substituting the signs from this sequence into the expression 16 4 8 10 2 * 43 yields:

16 + 4 × 8 – 10 ÷ 2 = 43

Applying the BODMAS rule, division is performed first:

10 ÷ 2 = 5

Next, multiplication is performed:

4 × 8 = 32

Now, performing addition and subtraction:

16 + 32 – 5 = 48 – 5 = 43

Since both sides of the equation equal 43, this combination of signs balances the equation perfectly.

Explanation

By observing the letters in the given words, each letter corresponds to a specific number:

In ACTOR: A = 1 C = 3 T = 6 O = 8 R = 12

In HEROINE: H = 9 E = 5 R = 12 O = 8 I = 7 N = 4 E = 5

The letters O (8) and R (12) have consistent codes across both words, confirming a direct letter-to-number mapping. Applying this mapping to the word HERO:

H = 9 E = 5 R = 12 O = 8

Combining these numbers yields 95128.

Explanation

The given series is formed by alternately subtracting and adding consecutive prime numbers in descending order starting from 29.

The operations between consecutive terms of the series are: 314 - 29 = 285 285 + 23 = 308 308 - 19 = 289 289 + 17 = 306 306 - 13 = 293 293 + 11 = 304

The prime numbers involved in the sequence are 29, 23, 19, 17, 13, and 11. Subtracting the prime number 19 from 308 gives the missing number as 289.

Explanation

Let analyze the pattern by taking the first term as CIEO:

First letters follow the pattern of adding 7 to their alphabetical positions: C (3) + 7 = J (10) J (10) + 7 = Q (17) Q (17) + 7 = X (24) X (24) + 7 = E (5)

Second letters follow the pattern of subtracting 8 from their alphabetical positions: I (9) - 8 = A (1) A (1) - 8 = S (19) S (19) - 8 = K (11) K (11) - 8 = C (3)

Third letters follow the pattern of subtracting 4 from their alphabetical positions: E (5) - 4 = A (1) A (1) - 4 = W (23) W (23) - 4 = S (19) S (19) - 4 = O (15)

Fourth letters are the vowels repeating in cyclic alphabetical order (A, E, I, O, U) starting from O: O -> U -> A -> E -> I

Combining these letters gives the cluster ECOI.

Explanation

The relationship in the given pairs is based on the most defining physical feature associated with each animal. An elephant is characterized by its trunk, and a fish is characterized by its gills. Similarly, a kangaroo is defined by its pouch, which is a specialized abdominal pocket used for carrying and rearing its offspring.

Explanation

The given series is formed by writing alternate prime numbers starting from 641.

First, 641 is included, and the next prime number 643 is skipped. Then, 647 is included, and the next prime number 653 is skipped. Next, 659 is included, and the next prime number 661 is skipped. After that, 673 is included, and the next prime number 677 is skipped. Then, 683 is included, and the next prime number 691 is skipped.

Following this alternate prime number logic, the next prime number to be included in the series after skipping 691 is 701.

Explanation

Comparing the words alphabetically letter by letter determines their correct dictionary order.

The five words starting with P must come before Quest (4). Among the P words, the four starting with Pr come before Puberty (5) because r comes before u.

Among the Pr words, those starting with Pro come before Prudent (2) because o comes before u.

Comparing the three words starting with Pro: In Producer (3), the fourth letter is d. In Profound (6), the fourth letter is f. In Prophet (1), the fourth letter is h.

Since d comes before f, and f comes before h, the sequence of these three words is 3, 6, 1.

Placing Prudent (2), Puberty (5), and Quest (4) after this sequence yields the final dictionary order: 3, 6, 1, 2, 5, 4.

Explanation

The series is formed by repeating the 7-letter pattern TTrrSSu three times.

Repeating this pattern continuously gives: TTrrSSuTTrrSSuTTrrSSu

By comparing this complete sequence with the given template containing blanks: T _ _ r S S _ T T r _ _ S u T T r r _ _ u

We can determine the missing letters from left to right to fill the blanks: The first and second blanks are filled by T and r. The third blank is filled by u. The fourth and fifth blanks are filled by r and S. The sixth and seventh blanks are filled by S and S.

Combining these sequentially from left to right yields the letters TrurSSS.

Explanation

The general pattern followed by the number-pairs is that the second number is obtained by cubing the first number, adding 1, and then dividing by 2. For the first number 9, this operation gives (9³ + 1)/2 = (729 + 1)/2 = 730/2 = 365. Since the second number in the pair is given as 355 instead of 365, it does not follow the same logic.

Explanation

A watch is a timekeeping device that is designed to be worn on a wrist. In the same way, a clock is a timekeeping device that is typically mounted on a wall.

Explanation

Replacing the asterisks sequentially with the mathematical signs in option C, where the first plus sign (+) represents the division sign (÷), we get:

25 ÷ 5 + 10 - 2 × 4 = 7

Applying the BODMAS rule, we solve the operations in order:

Perform the division: 25 ÷ 5 = 5

Perform the multiplication: 2 × 4 = 8

Substitute these values back into the expression and solve the addition and subtraction: 5 + 10 - 8 = 7 15 - 8 = 7 7 = 7

Since both sides of the equation are equal, the equation is balanced.

Explanation

The coding pattern relies on the standard alphabetical position of each letter (A = 1, B = 2, ..., Z = 26). Consonants are represented by their exact positional value, while vowels are represented by doubling their positional value.

In the word SLIDE, the letters are encoded as follows: S is a consonant with alphabetical position 19, so it is written as 19. L is a consonant with alphabetical position 12, so it is written as 12. I is a vowel with alphabetical position 9, which is doubled to get 18. D is a consonant with alphabetical position 4, so it is written as 4. E is a vowel with alphabetical position 5, which is doubled to get 10.

Combining these codes in sequence yields 191218410.

Explanation

The coding pattern shifts the positions of the letters sequentially: the first three letters are shifted forward by +1, +2, and +3, while the last three letters are shifted backward by -1, -2, and -3.

Applying this pattern to the word FINGER: F is shifted forward by 1 position to get G. I is shifted forward by 2 positions to get K. N is shifted forward by 3 positions to get Q. G is shifted backward by 1 position to get F. E is shifted backward by 2 positions to get C. R is shifted backward by 3 positions to get O, represented in the options as the digit 0.

Explanation

The given series follows a pattern of increasing differences. By calculating the differences between consecutive terms, we obtain the first-level differences:

24 - 1 = 23 58 - 24 = 34 125 - 58 = 67 247 - 125 = 122 446 - 247 = 199

Next, we calculate the second-level differences (the differences between these successive first-level differences):

34 - 23 = 11 67 - 34 = 33 122 - 67 = 55 199 - 122 = 77

The second-level differences are consecutive odd multiples of 11 (which are 11 × 1, 11 × 3, 11 × 5, and 11 × 7). Following this pattern, the next second-level difference must be 11 × 9 = 99.

To find the next first-level difference, we add 99 to the last first-level difference:

199 + 99 = 298

Finally, to find the missing term in the series, we add this first-level difference of 298 to the last term:

446 + 298 = 744

Explanation

The number of odd days between 15th October 2008 and 14th October 2012 can be calculated by finding the total number of odd days in the four-year span and adjusting for the single day difference.

From 15th October 2008 to 15th October 2012, there are 4 years. Since 2012 is a leap year and its February 29th falls within this interval, we add 1 extra odd day.

Total odd days from 15th October 2008 to 15th October 2012 = 4 years + 1 leap day = 5 odd days.

Since we need the day on 14th October 2012, which is 1 day before 15th October 2012, the net number of odd days to advance is: 5 - 1 = 4 odd days.

Advancing 4 days from Wednesday (Thursday, Friday, Saturday, Sunday) gives Sunday.

Explanation

The coding pattern involves dividing the word into pairs of consecutive letters and swapping the position of the letters within each pair.

In MATURE: MA becomes AM TU becomes UT RE becomes ER This gives AMUTER.

In MENTAL: ME becomes EM NT becomes TN AL becomes LA This gives EMTNLA.

Applying this pattern to MOBILE: MO becomes OM BI becomes IB LE becomes EL This gives OMIBEL.

Explanation

The pattern followed in the given pairs is:

Second number = (First number × 3) + 1

Applying this logic to the first pair: 18 × 3 + 1 = 54 + 1 = 55

Applying this logic to the second pair: 28 × 3 + 1 = 84 + 1 = 85

Applying this logic to the third pair: 36 × 3 + 1 = 108 + 1 = 109

Explanation

Applying the signs +, ÷, –, ×, = sequentially into the given expression: 17 + 18 ÷ 6 – 5 × 2 = 10

According to the BODMAS rule, division and multiplication are performed first: 18 ÷ 6 = 3 5 × 2 = 10

Substituting these values back into the expression: 17 + 3 – 10 = 10

Performing addition and subtraction: 20 – 10 = 10 10 = 10

The Left Hand Side equals the Right Hand Side, balancing the equation successfully.

Explanation

The statement that all alphas are betas means the set of alphas is entirely contained within the set of betas. The statement that no beta is a gamma means the set of betas and the set of gammas are completely disjoint. Since alphas are entirely within betas, the set of alphas and the set of gammas must also be completely disjoint. This confirms that no alpha is a gamma, validating Conclusion III.

Additionally, the statement that some thetas are alphas indicates there is an overlap between the set of thetas and the set of alphas. Because all alphas are betas, any elements in the overlap between thetas and alphas must also be within the set of betas. This confirms that some thetas are betas, validating Conclusion II.

Explanation

The given series is formed by subtracting the squares of consecutive decreasing numbers starting from 13.

The differences between the consecutive terms are: 1778 - 1609 = 169 = 13² 1609 - 1465 = 144 = 12² 1465 - 1344 = 121 = 11² 1344 - 1244 = 100 = 10²

Following this pattern, the next term is obtained by subtracting the square of 9 (which is 81) from the last term: 1244 - 81 = 1163

Explanation

Substituting the signs of option A (×, +, ÷, -, +, =) into the equation: 17 × 4 + 63 ÷ 7 - 21 + 3 = 59

Applying the BODMAS rule, perform division first: 63 ÷ 7 = 9

Next, perform multiplication: 17 × 4 = 68

The equation becomes: 68 + 9 - 21 + 3 = 59

Now, perform addition and subtraction from left to right: 68 + 9 = 77 77 - 21 = 56 56 + 3 = 59

This results in 59 = 59, which balances the equation.

Explanation

The relation between the terms follows the mathematical pattern where the second term in each pair is equal to the square of the first term divided by 9.

Formula: Second Term = (First Term)² ÷ 9

Applying this to the first pair: 27² ÷ 9 = 729 ÷ 9 = 81

Applying this to the second pair: 18² ÷ 9 = 324 ÷ 9 = 36

Applying this to the third pair: 33² ÷ 9 = 1089 ÷ 9 = 121

Explanation

The series follows a pattern where each subsequent letter-cluster is obtained by adding a fixed number to the alphabetical position of each letter in the preceding cluster (where A = 1, B = 2, ..., Z = 26):

First letter position increases by 6: G (7) + 6 = M (13) M (13) + 6 = S (19) S (19) + 6 = Y (25)

Second letter position increases by 7: O (15) + 7 = V (22) V (22) + 7 = C (29, which is 3) C (3) + 7 = J (10)

Third letter position increases by 8: W (23) + 8 = E (31, which is 5) E (5) + 8 = M (13) M (13) + 8 = U (21)

Fourth letter position increases by 9: B (2) + 9 = K (11) K (11) + 9 = T (20) T (20) + 9 = C (29, which is 3)

Applying these additions to SCMT yields YJUC.

Explanation

Substituting the mathematical signs from Option D in place of the asterisks in the given expression:

25 × 3 = 5 × 15 × 1

Calculating the values on both sides of the equation:

Left-hand side (LHS): 25 × 3 = 75

Right-hand side (RHS): 5 × 15 × 1 = 75

Both sides yield the same value of 75, which balances the equation.

Explanation

The relationship between the terms in each pair follows the mathematical formula y = 3x - 6, where x is the first term and y is the second term.

For the first pair, 27 × 3 - 6 = 81 - 6 = 75.

For the third pair, 39 × 3 - 6 = 117 - 6 = 111.

Applying the same formula to the second pair, 45 × 3 - 6 = 135 - 6 = 129.

Explanation

The coding pattern involves replacing each letter with its opposite pair in the alphabetical series (where the sum of the alphabetical positions of the original letter and its opposite letter is 27) and then reversing the resulting sequence.

For ELBOW: The opposite letters are E to V, L to O, B to Y, O to L, and W to D. Reversing the sequence VOYLD gives DLYOV.

For ANKLE: The opposite letters are A to Z, N to M, K to P, L to O, and E to V. Reversing the sequence ZMPOV gives VOPMZ.

Applying the same logic to WRIST: The opposite letters are W to D, R to I, I to R, S to H, and T to G. Reversing the sequence DIRHG gives GHRID.

Explanation

To find the day of the week on 16 October 2005 starting from 15 July 2002, we calculate the total number of odd days between the two dates.

First, we find the odd days from 15 July 2002 to 15 July 2005: The duration is exactly 3 years, consisting of 2 ordinary years (2003, 2005) and 1 leap year (2004). An ordinary year has 1 odd day and a leap year has 2 odd days. Total odd days for these years = 2 × 1 + 1 × 2 = 4 odd days.

Next, we calculate the odd days from 15 July 2005 to 16 October 2005: Remaining days in July = 31 - 15 = 16 days (which gives 16 ÷ 7 = 2 odd days) Days in August = 31 days (which gives 31 ÷ 7 = 3 odd days) Days in September = 30 days (which gives 30 ÷ 7 = 2 odd days) Days in October = 16 days (which gives 16 ÷ 7 = 2 odd days)

Summing these up: 2 + 3 + 2 + 2 = 9 days. Dividing 9 by 7 gives a remainder of 2 odd days.

The total number of odd days between 15 July 2002 and 16 October 2005 is 4 + 2 = 6 odd days.

Adding 6 days to Monday results in Sunday.

Explanation

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

Group 1: B E (H) K P Group 2: C (E) H K P Group 3: (D) E H K P Group 4: (E) E H K P

In this pattern, the last four letters of each group remain constant as "E H K P", while the first letter of each group increases sequentially by one step in alphabetical order (B → C → D → E). Filling the blanks with H, E, D, and E completes this sequence.

Explanation

The relationship between the numbers follows the pattern where the second number is obtained by adding 10 to the square root of the first number.

For the first pair, the square root of 64 is 8, and adding 10 gives 18.

For the second pair, the square root of 196 is 14, and adding 10 gives 24.

Applying the same logic to the third pair, the square root of 529 is 23, and adding 10 yields 33.

Explanation

The pattern rearranges the 7-letter words by reversing the first three letters (1-2-3 to 3-2-1), keeping the middle letter (4) unchanged, and reversing the last three letters (5-6-7 to 7-6-5). Applying this 3214765 pattern to NUCLEAR results in CUNLRAE.

Explanation

A is the brother of C, which means A is male and is a sibling of C. D is the maternal uncle of C, which implies D is the brother of C's mother. Since B is the only sister of D, B must be the mother of C. Since A is the brother of C, A is also the child of B. Because A is male, A is the son of B.

Explanation

From Statement 1 (All cakes are sweets) and Statement 2 (No sweet is a biscuit), it is clear that no cake is a biscuit. Therefore, Conclusion I (Some biscuits are cakes) does not follow.

For Conclusion II (Some chocolates are sweets), Statement 3 tells us some chocolates are biscuits, and Statement 2 states no sweet is a biscuit. This means the chocolates that are biscuits cannot be sweets, but there is no definite information regarding the rest of the chocolates and sweets. They can be completely disjoint or they can overlap, meaning Conclusion II does not definitely follow.

For Conclusion III (No cake is a chocolate), we know all cakes are sweets and no sweet is a biscuit, so no cake is a biscuit. However, this does not prevent cakes from overlapping with chocolates. Since there is a possibility that some cakes are chocolates, the definite conclusion that no cake is a chocolate does not follow.

Explanation

The logic followed in the given sets is: (First number ÷ Second number) + 7 = Third number

For the set (45, 9, 12): (45 ÷ 9) + 7 = 5 + 7 = 12

For the set (21, 3, 14): (21 ÷ 3) + 7 = 7 + 7 = 14

Applying this logic to (80, 10, 15): (80 ÷ 10) + 7 = 8 + 7 = 15

Explanation

In this coding scheme, consonants are represented by doubling their alphabetical position values, while vowels are represented by their original alphabetical position values.

For the word RESET: R is the 18th letter (consonant), so 18 × 2 = 36 E is the 5th letter (vowel), so 5 S is the 19th letter (consonant), so 19 × 2 = 38 E is the 5th letter (vowel), so 5 T is the 20th letter (consonant), so 20 × 2 = 40 Combining these values gives 36538540.

For the word START: S is the 19th letter (consonant), so 19 × 2 = 38 T is the 20th letter (consonant), so 20 × 2 = 40 A is the 1st letter (vowel), so 1 R is the 18th letter (consonant), so 18 × 2 = 36 T is the 20th letter (consonant), so 20 × 2 = 40 Combining these values gives 384013640.

Applying the same logic to the word STOP: S is the 19th letter (consonant), so 19 × 2 = 38 T is the 20th letter (consonant), so 20 × 2 = 40 O is the 15th letter (vowel), so 15 P is the 16th letter (consonant), so 16 × 2 = 32 Combining these values gives 38401532.

Explanation

The general relation followed between the first and the second number in the pairs is: Second number = (First number + 1)²

Applying this mathematical operation to the pair 9:64, where the first number is 9, we get: (9 + 1)² = 10² = 100

Since the second number given in this pair is 64 instead of 100, this pair deviates from the logic followed by the rest of the options, making it the odd pair.

Explanation

Based on the code representations, we substitute the letters in the equation with their respective mathematical operators: A denotes + B denotes × C denotes - D denotes ÷

Substituting these operators into the given expression: (84 ÷ 14) + 17 - 13 × (75 ÷ 15) + 9 × 7

Following the BODMAS rule, we first solve the division operations inside the brackets: 84 ÷ 14 = 6 75 ÷ 15 = 5

This simplifies the expression to: 6 + 17 - 13 × 5 + 9 × 7

Next, we perform the multiplication operations: 13 × 5 = 65 9 × 7 = 63

Now, substitute these values back into the expression: 6 + 17 - 65 + 63

Finally, perform the addition and subtraction: 23 - 65 + 63 = 21

Explanation

The logic of the coding language is to find the product of the numerical positions of the letters in the alphabetical order (where A = 1, B = 2, ..., Z = 26) and then subtract 2 from the result.

For "IS": I = 9 S = 19 Product = 9 × 19 = 171 Code = 171 - 2 = 169

For "AM": A = 1 M = 13 Product = 1 × 13 = 13 Code = 13 - 2 = 11

Applying this rule to "IN": I = 9 N = 14 Product = 9 × 14 = 126 Code = 126 - 2 = 124

Explanation

The relationship between the terms in each pair follows the pattern: First term³ - 4 = Second term

For the first pair: 8³ - 4 = 512 - 4 = 508

For the third pair: 2³ - 4 = 8 - 4 = 4

Applying the same pattern to the second pair: x³ - 4 = 2193 x³ = 2197 x = 13

Explanation

The logic followed by the standard pairs is that the first number is equal to the sum of the cube and the square of the second number. This relationship can be expressed by the formula:

First number = (Second number)³ + (Second number)²

Applying this mathematical relation to the pairs: For the second number 2, the first number is 2³ + 2² = 8 + 4 = 12. For the second number 3, the first number is 3³ + 3² = 27 + 9 = 36. For the second number 4, the first number is 4³ + 4² = 64 + 16 = 80.

Following this same logic, if the second number is 5, the first number must be 5³ + 5² = 125 + 25 = 150. Since the pair is given as 25:5, it does not satisfy the common rule.

Explanation

The logic of the series is found by calculating the differences between consecutive terms through multiple levels.

First-level differences between consecutive terms: 21 - 10 = 11 35 - 21 = 14 56 - 35 = 21 90 - 56 = 34 145 - 90 = 55 231 - 145 = 86 360 - 231 = 129

Second-level differences among the first-level differences: 14 - 11 = 3 21 - 14 = 7 34 - 21 = 13 55 - 34 = 21 86 - 55 = 31 129 - 86 = 43

Third-level differences among the second-level differences: 7 - 3 = 4 13 - 7 = 6 21 - 13 = 8 31 - 21 = 10 43 - 31 = 12

The third-level differences form an arithmetic progression of consecutive even numbers starting from 4: 4, 6, 8, 10, 12.

Following this pattern, the next third-level difference must be 14.

Working backwards to find the missing term: The next second-level difference is 43 + 14 = 57. The next first-level difference is 129 + 57 = 186. The next term in the series is 360 + 186 = 546.

Explanation

The logic followed in the pairs is: Second term = First term² × (First term + 2) ÷ 8

Applying this logic to the first pair (16:576): 16² × (16 + 2) ÷ 8 = 256 × 18 ÷ 8 = 32 × 18 = 576

Applying this logic to the second pair (8:80): 8² × (8 + 2) ÷ 8 = 64 × 10 ÷ 8 = 8 × 10 = 80

Applying this logic to the third pair (22:?): 22² × (22 + 2) ÷ 8 = 484 × 24 ÷ 8 = 484 × 3 = 1452

Explanation

The series follows a specific alphabetical position shift pattern for each letter of the clusters:

First letter: Decreases by 5 in each step. S (19) - 5 = N (14) N (14) - 5 = I (9) I (9) - 5 = D (4) D (4) - 5 = Y (25)

Second letter: Increases by 10 in each step (modulo 26). Y (25) + 10 = 35 ≡ I (9) I (9) + 10 = S (19) S (19) + 10 = 29 ≡ C (3) C (3) + 10 = M (13)

Third letter: Increases by 11 in each step (modulo 26). G (7) + 11 = R (18) R (18) + 11 = 29 ≡ C (3) C (3) + 11 = N (14) N (14) + 11 = Y (25)

Fourth letter: Decreases by 6 in each step. Z (26) - 6 = T (20) T (20) - 6 = N (14) N (14) - 6 = H (8) H (8) - 6 = B (2)

Applying these shifts gives the letter-cluster ISCN.

Explanation

The given series decreases by consecutive multiples of 7.

762 - 7 = 755 755 - 14 = 741 741 - 21 = 720 720 - 28 = 692

Following this pattern, the next term is obtained by subtracting 35 from 692:

692 - 35 = 657

Explanation

The relationship between the numbers in each pair follows the pattern where the first number is multiplied by the first number minus seven. This can be expressed using the formula:

y = x × (x - 7)

For the first pair, 13 : 78: y = 13 × (13 - 7) = 13 × 6 = 78

For the third pair, 19 : 228: y = 19 × (19 - 7) = 19 × 12 = 228

Applying the same pattern to the second pair, 23 : ?: y = 23 × (23 - 7) = 23 × 16 = 368

Explanation

To find the day of the week on 12 December 1997 starting from 25 March 1995, we can calculate the total number of odd days.

First, calculate the odd days between 25 March 1995 and 25 March 1997: From 25 March 1995 to 25 March 1996 is a leap year interval because it includes 29 February 1996. This period has 366 days, which equals 52 weeks and 2 odd days. From 25 March 1996 to 25 March 1997 is a non-leap year interval containing 365 days, which equals 52 weeks and 1 odd day. Total odd days from 25 March 1995 to 25 March 1997 = 2 + 1 = 3 odd days.

Next, calculate the odd days from 25 March 1997 to 12 December 1997 by counting the days in each month: March (remaining days): 6 days (6 odd days) April: 30 days (2 odd days) May: 31 days (3 odd days) June: 30 days (2 odd days) July: 31 days (3 odd days) August: 31 days (3 odd days) September: 30 days (2 odd days) October: 31 days (3 odd days) November: 30 days (2 odd days) December: 12 days (5 odd days)

Sum of these monthly odd days = 6 + 2 + 3 + 2 + 3 + 3 + 2 + 3 + 2 + 5 = 31 days. Dividing 31 by 7 leaves a remainder of 3 odd days.

Adding the odd days from both periods gives a total of 3 + 3 = 6 odd days. Adding 6 odd days to Saturday results in Friday.

Explanation

The numbers in each row follow a pattern of an arithmetic progression with a common difference of 18.

In the first row: 54 + 18 = 72 72 + 18 = 90

In the second row: 79 + 18 = 97 97 + 18 = 115

Following the same mathematical logic for the third row: 83 + 18 = 101 101 + 18 = 119

Explanation

The coding scheme first finds the opposite alphabet for each letter of the word (where A=Z, B=Y, etc.) and then swaps the positions of the adjacent pairs (1st with 2nd, and 3rd with 4th). For BULK, the opposite letters are Y, F, O, and P, which when swapped in pairs become F, Y, P, and O, resulting in FYPO.

Explanation

The letter series is formed by repeating a 7-letter pattern: KaRaNKa

Repeating this pattern three times gives a 21-letter sequence: KaRaNKaKaRaNKaKaRaNKa

Comparing this complete sequence with the given sequence containing blanks: Ka _ _ N _ a K _ R a _ K a _ a R _ N K a

We can identify the missing letters sequentially: The first and second blanks after Ka are R and a. The third blank after N is K. The fourth blank after K is a. The fifth blank after Ra is N. The sixth blank after Ka is K. The seventh blank after aR is a.

Combining these letters sequentially from left to right yields RaKaNKa.

Explanation

Substituting the decoded mathematical operators into the given equation: A represents + B represents × C represents - D represents ÷ The symbol + represents +

This converts the equation to: 21 + 34 - 6 × (72 ÷ 9) + 13 × 1 + (56 ÷ 4)

Now, evaluate the expression using the BODMAS rule:

First, calculate the operations inside the brackets: 72 ÷ 9 = 8 56 ÷ 4 = 14

Substituting these back into the equation gives: 21 + 34 - 6 × 8 + 13 × 1 + 14

Next, perform the multiplication: 6 × 8 = 48 13 × 1 = 13

Now, substitute these values back: 21 + 34 - 48 + 13 + 14

Finally, perform the addition and subtraction from left to right: 21 + 34 + 13 + 14 - 48 = 82 - 48 = 34