SSC CGL Tier 1 2012 General Intelligence & Reasoning Questions with Solutions

Explanation

The series follows a pattern where each subsequent letter in the triplet is obtained by adding 5 to the positional value of the corresponding letter in the previous triplet.

For the first letter of each group, the sequence is C (3) +5 H (8) +5 M (13). Adding 5 to M gives 13 + 5 = 18, which corresponds to the letter R.

For the second letter of each group, the sequence is I (9) +5 N (14) +5 S (19). Adding 5 to S gives 19 + 5 = 24, which corresponds to the letter X.

For the third letter of each group, the sequence is M (13) +5 R (18) +5 W (23). Adding 5 to W gives 23 + 5 = 28. Since the alphabet resets after 26, 28 - 26 = 2, which corresponds to the letter B.

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

Explanation

The series follows an alternating pattern of adding 1 and multiplying by 2. Starting with the first term, the operations are performed as follows: 2 + 1 = 3, then 3 × 2 = 6, then 6 + 1 = 7, then 7 × 2 = 14, and then 14 + 1 = 15. Following this sequence, the next step requires multiplying the current term by 2. Therefore, 15 × 2 = 30.

Explanation

The series follows the mathematical relation Tₙ = 5ⁿ - n, where n represents the position of the term counting from the right side of the series. Applying this formula to the given values:

The term at n = 1 is 5¹ - 1 = 4. The term at n = 2 is 5² - 2 = 23. The term at n = 3 is 5³ - 3 = 122. The term at n = 5 is 5⁵ - 5 = 3120.

To find the missing term at the fourth position from the right (n = 4): 5⁴ - 4 = 625 - 4 = 621

Explanation

The series follows a recursive pattern where each term is derived from the previous term using the formula Tₙ = (Tₙ₋₁ × 10) + 5(n-1), where Tₙ is the n-th term.

Starting with the first term T₁ = 0: The second term is (0 × 10) + (5 × 1) = 5. The third term is (5 × 10) + (5 × 2) = 60. The fourth term is (60 × 10) + (5 × 3) = 615. The fifth term is (615 × 10) + (5 × 4) = 6150 + 20 = 6170.

By applying this logic, the next value in the series is calculated as 6170.

Explanation

Nitya and Sam are siblings, and their father is Mogan. Rajan is Mogan's brother, which makes Rajan the paternal uncle of Nitya. Selvan is the son of Rajan. Since Nitya and Selvan are the children of two brothers, Mogan and Rajan, they are related to each other as cousins.

Explanation

Let the current age of the father be x. Since the boy's age is one-fourth of his father's age, it can be expressed as x/4. The sum of their ages is given as 35, leading to the equation x + x/4 = 35. Combining the terms on the left side gives 5x/4 = 35. To solve for x, we multiply both sides by 4 and divide by 5, resulting in x = (35 × 4) / 5, which simplifies to x = 28. The father's current age is 28 years. The question asks for the father's age after 8 years, which is calculated by adding 8 to his current age: 28 + 8 = 36.

Explanation

The lady's mother's husband is the lady's father. The lady's father's sister is the lady's paternal aunt. The man states that this same woman is his aunt. Since both the man and the lady share the same paternal aunt, they are siblings. Therefore, the lady is the sister of the man.

Explanation

In the standard cardinal compass, directions are spaced at 45 degree intervals. Moving from South East to North requires an anti-clockwise rotation of 135 degrees, which is equivalent to shifting three positions in the anti-clockwise direction (South East to East, East to North East, and North East to North). To find the new direction for South West, the same 135 degree anti-clockwise rotation must be applied. Moving 135 degrees anti-clockwise from South West involves passing through South (45 degrees) and South East (90 degrees), finally arriving at East (135 degrees).

Explanation

The word NATION requires the letter A to be formed. Upon examining the given word CONTENTION, it contains the letters C, O, N, T, E, and I. Since the letter A is not present in the base word CONTENTION, the word NATION cannot be constructed from its letters.

Explanation

The code is determined by a direct letter-to-digit mapping found in the provided words. From the word GRAPE (27354), we identify G = 2, R = 7, A = 3, P = 5, and E = 4. From the word FOUR (1687), we identify F = 1, O = 6, U = 8, and R = 7. We can confirm the consistency of the code as the letter R is represented by 7 in both instances. To find the code for GROUP, we substitute the corresponding digits for each letter: G is 2, R is 7, O is 6, U is 8, and P is 5. Combining these digits in sequence results in the code 27685.

Explanation

The coding logic follows a constant subtraction where each letter of the original word is replaced by the letter appearing three positions before it in the English alphabet (n - 3). In the example provided, the word WAYIN is transformed as W (23) - 3 = 20 (T), A (1/27) - 3 = 24 (X), Y (25) - 3 = 22 (V), I (9) - 3 = 6 (F), and N (14) - 3 = 11 (K).

Applying this identical n - 3 pattern to the target word, the letters shift as follows: L (12) - 3 = 9 (I), B (2/28) - 3 = 25 (Y), U (21) - 3 = 18 (R), and the subsequent characters continue the same shift to yield IYRII. This consistent shift across all characters confirms the coding scheme.

Explanation

The coding pattern follows a simple alphabetical shift where each letter of the word is replaced by the letter immediately preceding it in the English alphabet (a -1 shift). In the word PARTNER, the transformations are P to O, A to Z, R to Q, T to S, N to M, E to D, and R to Q, forming the code OZQSMDQ. Applying this same logic to SEGMENT, S becomes R, E becomes D, G becomes F, M becomes L, E becomes D, N becomes M, and T becomes S. Following this sequence, the coded word is RDFLDMS.

Explanation

The coding pattern follows a uniform shift of +2 for every letter in the word according to its position in the English alphabet. In the transformation of DOCTOR to FQEVQT, each letter is replaced by the letter that appears two places after it. Applying this same +2 logic to PATIENT, the first letter P becomes R, A becomes C, T becomes V, I becomes K, E becomes G, N becomes P, and the final T becomes V. This sequence of letters forms RCVKGPV.

Explanation

According to the given instructions, the operators are substituted as follows: + is replaced by ÷, - is replaced by ×, × is replaced by +, and ÷ is replaced by -.

Substituting these into the original expression 90 + 18 - 6 × 30 ÷ 4, we get: 90 ÷ 18 × 6 + 30 - 4

Following the BODMAS/order of operations, first perform the division: 5 × 6 + 30 - 4

Then perform the multiplication: 30 + 30 - 4

Finally, perform the addition and subtraction: 60 - 4 = 56

Explanation

The given equations follow a logic based on the sum of the digits of the first number and the digits of the second number.

For 73 + 46 = 42: Sum the digits of the first number: 7 + 3 = 10. Multiply this sum by 4 (a constant or the tens digit of the second number): 10 × 4 = 40. Add the difference between the digits of the second number (6 - 4 = 2): 40 + 2 = 42.

For 95 + 87 = 57: Sum the digits of the first number: 9 + 5 = 14. Multiply this sum by 4: 14 × 4 = 56. Add the difference between the digits of the second number (8 - 7 = 1): 56 + 1 = 57.

Applying the same logic to 62 + 80: Sum the digits of the first number: 6 + 2 = 8. Multiply this sum by 4: 8 × 4 = 32. Add the result of the second number's digit manipulation. In the previous cases, the adjustment was derived from the digits 4, 6 (difference 2) and 8, 7 (difference 1). For 8, 0, using a consistent reduction or similar digit property (such as half the value of the non-zero digit), the adjustment is 4: 32 + 4 = 36.

Explanation

The front of the house faces East, which means the backdoor is situated on the West side. When the man walks out of the backdoor, he initially travels 1 km towards the West. Turning to his right from a Westward direction leads him North, where he walks for 1 km. A subsequent right turn from the North leads him East, and he walks for another 1 km. Since he first moved 1 km West and later moved 1 km East, these horizontal displacements cancel each other out. This leaves him exactly 1 km North of his starting point at the house.

Explanation

Squad A begins facing East. The command Left Turn rotates the squad 90° anticlockwise to face North. An About Turn then reverses their direction by 180° to face South. Following this, a Right Turn rotates them 90° clockwise to face West. Finally, a Left Turn rotates the squad 90° anticlockwise, resulting in Squad A facing South.

Squad B starts facing West. The command Left Turn rotates the squad 90° anticlockwise to face South. An About Turn reverses their direction by 180° to face North. Subsequently, a Right Turn rotates them 90° clockwise to face East. The final command, Left Turn, rotates the squad 90° anticlockwise, resulting in Squad B facing North.

Explanation

Conclusion I logically follows from the statements because they establish a direct relationship between the contamination of water and the subsequent hospitalization of people showing symptoms of Typhoid. This sequence of events indicates that contaminated water is a source or cause of the disease. Conclusion II, which characterizes Typhoid as a contagious disease, refers to its ability to spread from person to person. The provided statements focus entirely on a common-source outbreak linked to water and do not provide any information regarding the transmission of the illness between individuals. Therefore, only the first conclusion can be derived from the given information.

Explanation

The first statement establishes that the population of government employees is divided into two mutually exclusive and collectively exhaustive categories: those who went on strike (60%) and those who did not go on strike (40%). As a government employee, Mr. Gopal must necessarily fall into one of these two groups. Conclusion I represents the possibility of him being in the striking group, while Conclusion II represents the possibility of him being in the non-striking group. Since these two scenarios cover all possible outcomes for any individual government employee and cannot happen simultaneously, the logic follows that either Conclusion I or Conclusion II must be true.

Explanation

The analogy is based on the alphabetical sequence of the letters. In the first part, PQR represents three consecutive letters in ascending alphabetical order, corresponding to the 16th, 17th, and 18th positions in the alphabet. This is paired with CBA, which consists of three consecutive letters in descending alphabetical order, specifically the 3rd, 2nd, and 1st positions.

The relationship follows the structure of an n, n+1, n+2 sequence followed by a k, k-1, k-2 sequence. Similarly, the group LMN consists of three consecutive letters in ascending order (the 12th, 13th, and 14th letters), and ZYX consists of three consecutive letters in descending order (the 26th, 25th, and 24th letters). Furthermore, the sum of the numerical positions for each corresponding letter pair within the sets is constant: 16+3=19, 17+2=19, 18+1=19 for the first pair, and 12+26=38, 13+25=38, 14+24=38 for the second.

Explanation

The numbers in the given set follow the mathematical pattern n³ + n² for consecutive natural numbers n. Applying this formula for n = 1, 2, 3, and 4 generates the sequence:

For n = 1: 1³ + 1² = 1 + 1 = 2 For n = 2: 2³ + 2² = 8 + 4 = 12 For n = 3: 3³ + 3² = 27 + 9 = 36 For n = 4: 4³ + 4² = 64 + 16 = 80

The provided numbers 2, 12, and 80 represent the first, second, and fourth terms of this progression. The missing related number corresponding to n = 3 is 36.

Explanation

The relationship between the numbers in the first pair follows the arithmetic rule y = 3x + 1. In the first set, the value 3 is multiplied by 3 and then increased by 1 to arrive at the second value, as shown by the calculation 3 × 3 + 1 = 10. Applying the same logic to the second set, the first number 8 is multiplied by 3 and then added to 1, which results in 8 × 3 + 1 = 25.

Explanation

The relationship between the numbers is established by dividing the multi-digit numbers into three distinct segments and applying a constant increment. In the given pair 51119:91523, the first number is composed of segments 5, 11, and 19. Adding 4 to each of these segments results in 9, 15, and 23 respectively, which forms the second number 91523.

To find the missing number in the first ratio, we apply the reverse logic to the number 233345. We divide 233345 into three segments: 23, 33, and 45. Subtracting 4 from each segment gives: 23 - 4 = 19 33 - 4 = 29 45 - 4 = 41

Concatenating these values, 19, 29, and 41, results in the number 192941. This follows the established pattern where each numerical block in the first term increases by 4 to produce the corresponding block in the second term.

Explanation

The relationship in the first pair is that of a part to a whole. A finger is a constituent part of a hand. Similarly, in the second pair, a month is a constituent part of a year. Just as multiple fingers make up a hand, multiple months make up a year, maintaining the same part-to-whole logical structure.

Explanation

The relationship in this analogy is based on the connection between a product and its end-user. A newspaper is a product created specifically for a reader, who is the person that utilizes and consumes the information within it. Following this logic, bread is a commodity produced for a consumer, who is the individual that eats or uses the product. The analogy identifies the final person in the supply chain who fulfills the purpose of the item's creation.

Explanation

The relationship in this analogy is based on the central point of rotation for a specific object. The Earth is a celestial body that rotates around an imaginary line called its axis. Similarly, a wheel is a mechanical component that rotates around its central part, which is known as the hub. The hub acts as the core of the wheel, connecting the spokes to the axle and providing the pivot point for rotation, mirroring the role the axis plays for the rotation of the Earth.

Explanation

The relationship between the terms is based on a consistent addition and subtraction pattern applied to the alphabetical positions of the letters. Analyzing the second pair, EVFU relates to GTHS by moving the first and third letters forward by two steps and the second and fourth letters backward by two steps in the alphabet. Specifically, E+2 = G, V-2 = T, F+2 = H, and U-2 = S.

Applying this same transformation logic to AZBY, we increment the first letter A by two to get C, decrement the second letter Z by two to get X, increment the third letter B by two to get D, and decrement the fourth letter Y by two to get W. This yields the sequence CXDW. Furthermore, each string maintains the property of containing pairs of opposite letters where the sum of the positions of the paired letters equals 27. A and Z are opposites, as are B and Y; similarly, C and X are opposites, and D and W are opposites.

Explanation

The relationship between the letter groups is based on the concept of opposite alphabetical pairs, where the sum of the numerical positions of corresponding letters equals 27. In the reference pair MKIG : NPRT, the positions of the letters in MKIG are M (13), K (11), I (9), and G (7). Their counterparts in NPRT are N (14), P (16), R (18), and T (20). The sums are 13 + 14 = 27, 11 + 16 = 27, 9 + 18 = 27, and 7 + 20 = 27. Applying this logic to the sequence ZXVT, where the numerical positions are Z (26), X (24), V (22), and T (20), the corresponding letters are found by subtracting each position from 27. This results in 27 - 26 = 1 (A), 27 - 24 = 3 (C), 27 - 22 = 5 (E), and 27 - 20 = 7 (G). Therefore, the related sequence is ACEG.

Explanation

Madan Mohan Malviya is the odd one out because he was primarily associated with the Moderate faction of the Indian National Congress and adhered to constitutional methods of protest and reform. In contrast, B.G. Tilak and Lala Lajpat Rai were key leaders of the Extremist (Garam Dal) faction, which advocated for more assertive and direct action against British rule. V.D. Savarkar was a prominent revolutionary nationalist who also belonged to the radical and militant school of the independence movement, distinguishing these three from the Moderate approach represented by Malviya.

Explanation

The group BTEP contains the vowel E, whereas the other letter combinations provided in the set consist solely of consonants. In classification reasoning, the presence of a vowel in one group when all others are composed of consonants is a common distinguishing feature used to identify the odd alternative.

Explanation

The words yearly, weekly, and monthly are all related to specific time intervals or frequencies based on calendar units. They describe how often an event occurs relative to a set period of time. In contrast, quickly is an adverb of manner that describes the speed or pace at which an action is performed, rather than its frequency or periodic interval.

Explanation

The dog is the odd one out because it is a carnivore and a non-ungulate animal. Unlike the other animals in the group which are herbivorous and possess hoofs, the dog is a member of the order Carnivora and has paws with claws. Additionally, it is primarily kept for guarding or companionship rather than being used as agricultural livestock for draft work or dairy production.

Explanation

The number 761 is a prime number, meaning it has no divisors other than 1 and itself. In contrast, the other three numbers in the set are composite numbers, as they have multiple factors.

572 is an even number and is divisible by 2, 4, 11, and 13. Its prime factorization is 2² × 11 × 13.

963 is an odd number but is divisible by 3 and 9, as the sum of its digits (9 + 6 + 3 = 18) is a multiple of 9. Its prime factorization is 3² × 107.

532 is an even number and is divisible by 2, 4, 7, and 19. Its prime factorization is 2² × 7 × 19.

Since 761 is the only prime number among the alternatives, it is the odd one out.

Explanation

The pair (44, 68) is the odd one out because the relationship between its digits follows a three-fold multiplication pattern that differs from the rest of the set. For the first number 44, the product of the digits is 4 × 4 = 16. For the second number 68, the product of the digits is 6 × 8 = 48. Comparing these two results, the product of the digits of the second number is exactly three times the product of the digits of the first number, since 16 × 3 = 48. In all other pairs provided in the alternatives, the product of the digits of the second number is consistently twice the product of the digits of the first number. This unique 1:3 ratio in digit products distinguishes (44, 68) as the outlier that does not conform to the 1:2 ratio shared by the other pairs.

Explanation

Radiation represents the principle of divergence, where energy or particles move and spread outward from a central source. This term is the odd one out because it describes an emission away from a center, whereas concentration, confluence, and concourse all share a common theme of convergence, signifying a gathering, merging, or meeting together at a specific point or area.

Explanation

The classification of these letter groups is based on the alphabetical positional values of the unique letters used in each sequence. In each of the other options, the distance between the successive unique letters is constant at +4. For option a, the unique letters are T (20), X (24), and B (2 or 28), resulting in 20 + 4 = 24 and 24 + 4 = 28. For option c, the letters are C (3), G (7), and K (11), which follow 3 + 4 = 7 and 7 + 4 = 11. For option d, the letters are K (11), O (15), and S (19), following 11 + 4 = 15 and 15 + 4 = 19. In contrast, option b uses the letters M (13), Q (17), and T (20). While the first interval is 13 + 4 = 17, the second interval is 17 + 3 = 20. This difference of +3 instead of +4 identifies it as the odd pair.

Explanation

Freedom at Midnight is a historical account of the Indian independence movement and the partition of India, co-authored by Larry Collins and Dominique Lapierre. It is the odd pair in this set because Jawaharlal Nehru did not write this book; his most prominent literary contributions are The Discovery of India, Glimpses of World History, and An Autobiography (Toward Freedom). Therefore, the author-book relationship in this pair is factually incorrect.

Explanation

The given set (3, 7, 100) follows the pattern where the third number is the square of the sum of the first two numbers, defined by the relationship (a + b)² = c. For the given values, (3 + 7)² = 10² = 100. In option a, the sum of the first two numbers is 11 + 12 = 23, and the square of this sum is 23² = 529. Since the third number provided is 365 instead of 529, this set fails to follow the established rule. Additionally, while the third number in the given set is a perfect square, 365 is not a perfect square.

Explanation

The series follows an alternating pattern based on the positions of letters from the start and the end of the alphabet. Each term consists of a pair of letters where the first and second letters alternate their roles as start-relative or end-relative.

In the first term AZ, A is the 1st letter from the start and Z is the 1st letter from the end. In the second term YB, the pattern shifts to the end-relative position first: Y is the 2nd letter from the end and B is the 2nd letter from the start. In the third term CX, the pattern returns to the start-relative position first: C is the 3rd letter from the start and X is the 3rd letter from the end.

Following this sequence, the fourth term must begin with the 4th letter from the end and conclude with the 4th letter from the start. The 4th letter from the end of the alphabet is W, and the 4th letter from the start is D. This forms the pair WD. Additionally, this pattern maintains a constant sum of 27 for the numerical positions of the letters in each pair (W = 23, D = 4; 23 + 4 = 27).

Explanation

The given sequence follows the pattern of an arithmetic progression where a constant value is added to each term to obtain the next. By calculating the difference between the consecutive terms provided, we find that 1992 - 1763 = 229 and 2221 - 1992 = 229. To find the missing value, we apply this common difference of 229 to the third term: 2221 + 229 = 2450. This result is consistent with the rest of the series, as adding 229 to 2450 yields the next term, 2679 (2450 + 229 = 2679), and 2679 + 229 = 2908.

Explanation

The sequence follows the mathematical progression where each subsequent term is generated using the formula xₙ = 4xₙ₋₁ + 3. Beginning with the first term 10, the second term is (10 × 4) + 3 = 43 and the third term is (43 × 4) + 3 = 175. Following this logic, the missing value is calculated as (175 × 4) + 3, which equals 700 + 3 = 703. This pattern is verified by the final number in the series, as (703 × 4) + 3 = 2812 + 3 = 2815.

Explanation

The sequence follows a pattern where the difference between the numerical positions of consecutive letters in the English alphabet decreases by 1 at each step. Assigning numerical values to the letters (A=1, G=7, L=12, P=16, U=21, V=22), the increments are calculated as follows:

From A to G: 7 - 1 = 6 From G to L: 12 - 7 = 5 From L to P: 16 - 12 = 4

Following this logic, the next increment must be 3. Adding 3 to the position of P (16) gives 16 + 3 = 19, which corresponds to the letter S. The pattern is validated by the subsequent terms, as the increment from S (19) to U (21) is 2, and the increment from U (21) to V (22) is 1. The full series of differences is 6, 5, 4, 3, 2, 1.

Explanation

The sequence follows a distinct pattern for each letter position in the four-letter strings:

First letter: The letter c remains constant across all terms in the sequence.

Second letter: There is a consecutive alphabetical progression: d, e, f, g. The next letter in this sequence is h.

Third letter: The letter e remains constant across all terms in the sequence.

Fourth letter: This position follows an arithmetic progression in the alphabet, skipping one letter each time: b (2), d (4), f (6), h (8). By adding 2 to the position of the previous letter, the next letter should be the 10th letter of the alphabet, j.

Combining these patterns, the next term in the sequence is chej. Among the options provided, chef is the only choice that matches the determined prefix che.

Explanation

The sequence follows a pattern where the first and last letters of each term are identical and follow a consecutive alphabetical progression. Starting from the second term, the boundary letters are L in LMKJNL, M in MONLKM, N in NOPLMN, O in OQPMNO, and P in PQRNQP. This establishes a sequence of L, M, N, O, P. By moving one step backward in the alphabet from L, the first term must begin and end with the letter K. The term KJLMK satisfies this requirement as it starts and ends with K.

Explanation

The number group (5, 8, 13, 20, 29) follows a pattern where the difference between consecutive terms increases as a sequence of consecutive odd numbers starting from 3. Specifically, the differences are 8 - 5 = 3, 13 - 8 = 5, 20 - 13 = 7, and 29 - 20 = 9. This can be expressed by the general term xₙ = n² + 4 for n = 1, 2, 3, 4, 5.

The letter group ADIPY follows the same principle based on the numerical positions of its letters in the English alphabet: A = 1, D = 4, I = 9, P = 16, Y = 25. These positions are the perfect squares of the first five natural numbers, n² for n = 1 to 5. The differences between these positions are 4 - 1 = 3, 9 - 4 = 5, 16 - 9 = 7, and 25 - 16 = 9. Since both sequences share the identical difference pattern of (+3, +5, +7, +9), which follows the mathematical relation 2n + 1, the arrangement logic is the same.

Explanation

The given series contains 18 positions. By substituting the letters from the set bacab into the gaps, the sequence becomes bbccaaccaabbaabbcc. This resulting series follows a logical pattern when divided into three groups of six letters each.

The first group is bbccaa, consisting of pairs of b, c, and a. The second group is ccaabb, which shifts the starting pair to c, followed by a and b. The third group is aabbcc, starting the cycle with the pair of a, followed by b and c. This cyclic repetition of double letters (aa, bb, cc) in a rotating order creates a continuous and predictable sequence across the entire set.

Explanation

The word ECCENTRICITY contains the letters E, C, N, T, R, I, and Y. The word TRICKY requires the letter K to be formed. Upon examining the source word ECCENTRICITY, it is evident that the letter K is entirely absent. Because the required letter K is not available in the given word, TRICKY cannot be constructed from its letters.

Explanation

The coding logic follows a simple forward shift where each letter of the word is replaced by the letter four positions ahead of it in the English alphabet (n + 4). In the word TRADE, T (20) becomes X (24), R (18) becomes V (22), A (1) becomes E (5), D (4) becomes H (8), and E (5) becomes I (9).

By applying this same +4 shift to the word PUBLIC, the individual letters transform as follows: P (16) plus 4 results in T (20); U (21) plus 4 results in Y (25); B (2) plus 4 results in F (6); L (12) plus 4 results in P (16); I (9) plus 4 results in M (13); and C (3) plus 4 results in G (7). Combining these results, the coded form of the word is TYFPMG.

Explanation

The logic behind the given sequences involves a specific rearrangement of the digits present in the expression. If we represent the multiplication expression as A × B × C × D, the resulting four-digit number is formed by placing the digits in the order ADCB.

In the first case, 4 × 6 × 9 × 1 = 4196: A = 4 B = 6 C = 9 D = 1 Arranging these digits in the sequence ADCB results in 4196.

In the second case, 2 × 3 × 7 × 2 = 2273: A = 2 B = 3 C = 7 D = 2 Arranging these digits in the sequence ADCB results in 2273.

Applying the same ADCB pattern to the required expression 1 × 4 × 8 × 9: A = 1 B = 4 C = 8 D = 9 The digits placed in the specified order form the number 1984.

Explanation

The average cost per kilometer is determined by the formula Average Cost = (Total Cost)/(Total Distance). The total distance of the journey is 900 km. We calculate the cost for each segment of the journey separately. For the first segment by taxi, the cost is 350 km × 4.00 = 1400. The bus and train segments have fixed costs of 70 and 50 respectively. The distance for the final segment by boat is the remaining distance, calculated as 900 - (350 + 250 + 250) = 50 km. At a rate of 2 per km, the boat cost is 50 × 2 = 100. Summing these individual costs gives the total expenditure: 1400 + 70 + 50 + 100 = 1620. Dividing the total cost by the total distance yields the average cost: 1620 / 900 = 1.80.