SSC CGL Tier 1 2020 General Intelligence & Reasoning Questions with Solutions

Explanation

The relationship between the numbers follows the logic y = 2x² + 2, where x is the first number and y is the second. For the first pair, substituting x = 3 into the formula gives 2(3)² + 2, which simplifies to 2(9) + 2 = 18 + 2 = 20.

To find the number related to 7, we apply the same mathematical operation. Substituting x = 7 into the formula yields 2(7)² + 2. Calculating the square first gives 2(49) + 2, which results in 98 + 2 = 100. This pattern of doubling the square of the input number and adding two consistently connects the values in both sets.

Explanation

The logic followed in the given number pairs is that the second number is obtained by multiplying the first number by 6. This is consistent across three of the pairs where 19 × 6 = 114, 17 × 6 = 102, and 12 × 6 = 72. However, in the case of the pair 28- 164, multiplying the first number 28 by 6 results in 168, whereas the provided value is 164. This deviation from the x × 6 rule makes the fourth pair the odd one out.

Explanation

Hemant buys one dozen eggs, which equals 12 eggs. The total cost price is determined by multiplying the quantity by the price per unit: Total Cost Price = 12 × 5.50 = 66

Since two eggs were damaged and could not be sold, the number of eggs remaining for sale is 12 - 2 = 10. The total selling price is calculated based on these remaining eggs: Total Selling Price = 10 × 7.70 = 77

The net profit earned in the deal is the difference between the total selling price and the total cost price: Net Profit = 77 - 66 = 11

Explanation

The coding pattern follows an alternating sequence of -2 and +1 applied to the positions of the letters in the English alphabet. For the word FIGURE, the logic is applied as follows: F (6) - 2 = D (4), I (9) + 1 = J (10), G (7) - 2 = E (5), U (21) + 1 = V (22), R (18) - 2 = P (16), and E (5) + 1 = F (6).

Applying the same logic to DECODE: D (4) - 2 = B (2) E (5) + 1 = F (6) C (3) - 2 = A (1) O (15) + 1 = P (16) D (4) - 2 = B (2) E (5) + 1 = F (6)

Combining these results gives the coded word BFAPBF.

Explanation

The logic followed in the rows of the table is (Column 1 × Column 2) - (Column 1 + Column 2) = Column 3.

For the first row, we have (7 × 3) - (7 + 3) = 21 - 10 = 11. For the second row, we have (4 × 9) - (4 + 9) = 36 - 13 = 23. Applying this logic to the third row, the missing number is calculated as (11 × 7) - (11 + 7) = 77 - 18 = 59.

Explanation

The coding logic follows a pattern where the numerical position of each letter in the English alphabet (A=1, B=2, …, Z=26) is multiplied by 2.

For the word LAMP: L is the 12th letter: 12 × 2 = 24 A is the 1st letter: 1 × 2 = 2 M is the 13th letter: 13 × 2 = 26 P is the 16th letter: 16 × 2 = 32 Concatenating these values yields the code 2422632.

Applying this same logic to the word FORK: F is the 6th letter: 6 × 2 = 12 O is the 15th letter: 15 × 2 = 30 R is the 18th letter: 18 × 2 = 36 K is the 11th letter: 11 × 2 = 22 Concatenating these values yields the code 12303622.

Explanation

The relationship path from R to Z in the expression P ÷ R × T + Q - S × U + Z is analyzed as follows:

R × T indicates that T is the husband of R, which establishes that R is a female and the wife of T.

T + Q indicates that Q is the daughter of T. Since T is married to R, Q is the daughter of R.

Q - S indicates that S is the sister of Q. This implies that S is also the daughter of R.

S × U indicates that U is the husband of S, making S the wife of U.

U + Z indicates that Z is the daughter of U. Since U is married to S, Z is the daughter of S.

Following this lineage, R is the mother of S, and S is the mother of Z. Thus, R is the mother of Z's mother, which defines the relationship as maternal grandmother.

Explanation

The letter-cluster GHJMP is the odd one out because it deviates from the sequential increment pattern that defines the group. In this pattern, the difference between consecutive letters increases by 1 at each step, following the sequence +1, +2, +3, and +4.

Mapping the letters in GHJMP to their numerical alphabetical positions: G = 7 H = 8 (7 + 1) J = 10 (8 + 2) M = 13 (10 + 3) P = 16 (13 + 3)

While the first three gaps follow the +1, +2, and +3 progression, the final gap between M and P is only 3. For the cluster to follow the consistent logic of the set, the final letter would have to be 4 positions ahead of M, which is Q (13 + 4 = 17). The break in the expected +1, +2, +3, +4 sequence makes this cluster the exception.

Explanation

The series consists of two alternating sub-sequences. By converting the letters to their numerical positions in the English alphabet (A=1, B=2, …, Z=26), the sequence A, D, ?, B, R, Y becomes 1, 4, ?, 2, 18, 25.

The first sub-sequence consists of the letters at the odd positions: 1st, 3rd, and 5th. These are 1 (A), ? (I), and 18 (R). The pattern here involves increasing gaps. The difference between the 1st and 3rd term is +8, making the 3rd term 1 + 8 = 9, which corresponds to the letter I. The difference between the 3rd and 5th term is then +9, as 9 + 9 = 18. The gap increments by 1 in each step (+8, +9).

The second sub-sequence consists of the letters at the even positions: 2nd, 4th, and 6th. These are 4 (D), 2 (B), and 25 (Y). The pattern here involves decreasing gaps. The difference between the 2nd and 4th term is -2, as 4 - 2 = 2. The difference between the 4th and 6th term is -3, because in a circular 26-letter alphabet, 2 - 3 = -1, and -1 ≡ 25 26, which is Y. This also shows a gap that increases in magnitude by 1 in each step (-2, -3). Thus, the letter that replaces the question mark is I.

Explanation

The given words represent units of area measurement, and the logical order is established by arranging them from the smallest to the largest magnitude. A square inch (3) is the smallest unit provided. This is followed by a square foot (5), where 1 square foot equals 144 square inches. Next is the square yard (2), as 1 square yard is equivalent to 9 square feet. Moving to much larger land measurements, an acre (1) consists of 4,840 square yards. Finally, the hectare (4) is the largest unit in this list, with 1 hectare being approximately equal to 2.47 acres. Thus, the ascending sequence is 3-5-2-1-4.

Explanation

Spinach is a leafy green vegetable that grows above the ground. While carrots, potatoes, and radishes are all vegetables where the edible portion grows underground as roots or tubers, spinach leaves are harvested from the plant above the soil surface. This classification based on the edible part of the plant and its growth position distinguishes spinach from the other three vegetables.

Explanation

The relationship established in the given pair is that of an animal and its specific characteristic sound. A neigh is the high-pitched vocalization produced by a horse. Similarly, a grunt is one of the primary sounds associated with camels, often emitted when they are communicating, exerting effort while carrying loads, or rising from a resting position.

Explanation

The first letters of the clusters follow an arithmetic progression with a common difference of 5: A(1), F(6), K(11), P(16), U(21). This confirms that the missing cluster must start with the letter K.

The internal structure of the four-letter clusters in the series follows a positional pattern of n, n+1, n+3, n+4, where n represents the numerical position of the first letter. In this pattern, the second letter is the immediate next letter, the third letter skips one position, and the fourth letter is the immediate next. Applying this to the cluster starting with K (n=11): the second letter is 11+1=12 (L), the third letter is 11+3=14 (N), and the fourth letter is 11+4=15 (O). This logic produces the cluster KLNO.

Explanation

The first statement establishes that the set of laptops is a subset of the set of computers. The second statement indicates that there is an intersection between the set of tablets and the set of laptops. Since some tablets are laptops and all laptops are computers, those specific tablets that are laptops must also be computers. This validates conclusion II, as an intersection between tablets and computers is guaranteed. Furthermore, because all laptops are computers, there is a mutual overlap between the two categories; if the entire set of laptops exists within the set of computers, it is logically certain that at least some portion of the computer category consists of laptops. This validates conclusion III through the conversion of a universal affirmative proposition.

Explanation

The series follows the progression rule Tₙ = 2Tₙ₋₁ + 2, where each term is generated by multiplying the preceding term by 2 and adding 2. Starting with the first term 2, the sequence is calculated as follows: 2 × 2 + 2 = 6 6 × 2 + 2 = 14 14 × 2 + 2 = 30 30 × 2 + 2 = 62 62 × 2 + 2 = 126 Following this logic, the next term in the sequence should be 126 × 2 + 2 = 252 + 2 = 254.

Alternatively, the difference between consecutive terms follows a pattern of increasing powers of 2 starting from 2²: 6 - 2 = 4 (2²) 14 - 6 = 8 (2³) 30 - 14 = 16 (2⁴) 62 - 30 = 32 (2⁵) 126 - 62 = 64 (2⁶) The next difference in this pattern must be 2⁷ = 128. Adding this to the previous term gives 126 + 128 = 254. Since the provided series ends with 250, it is the number that does not belong to the sequence.

Explanation

In the expression K + P × D × H × M, the generational relationship is determined by the operator ×, which signifies that the first person is the father of the second.

Applying the given definitions: P × D means P is the father of D. D × H means D is the father of H. Since P is the father of D and D is the father of H, P is the grandfather of H.

To confirm H is the grandson, we must verify his gender. The expression H × M means H is the father of M, which confirms that H is male. Therefore, the sequence P → D → H establishes that H is the grandson of P.

Explanation

The total number of participants in three overlapping sets is the sum of students who participated in exactly one competition, exactly two competitions, and all three competitions. Let the number of students who participated in Debate only be x.

According to the given data: Total number of students N = 60 Students in exactly one competition = (Quiz only + Extempore only) + Debate only = 22 + x Students in exactly two competitions = 14 Students in all three competitions = 4

Using the formula for the total number of unique participants: Total = (Exactly 1) + (Exactly 2) + (Exactly 3) 60 = (22 + x) + 14 + 4 60 = x + 40 x = 60 - 40 x = 20

Explanation

Statement 1 establishes that there is an intersection between the set of dancers and the set of writers. Statement 2 defines the set of writers as a subset of the set of students. Because all writers belong to the student category, any dancer who is also a writer is necessarily a student, which logically confirms Conclusion I. Furthermore, the universal affirmative statement that all writers are students implies its converse that some students are writers, which validates Conclusion II. The combined logic of the premises ensures that both Conclusion I and Conclusion II are true.

Explanation

The relationship between the first and second number is established by dividing the first number by 2 and adding 2 to the quotient.

Applying this logic to the first pair: (56 ÷ 2) + 2 = 28 + 2 = 30

Following the same mathematical pattern for the second pair with the third number 78: (78 ÷ 2) + 2 = 39 + 2 = 41

Explanation

To arrange words in dictionary order, they must be compared letter by letter from left to right. All five words begin with the letters Re. Comparing the third letter, Realism and Realistic both have a, while Research, Restore, and Resurge have s. Since a comes before s, the first two words in the sequence must be Realism and Realistic. Comparing these two, both share the first six letters Realis. The seventh letter of Realism is m and the seventh letter of Realistic is t. Because m precedes t in the alphabet, Realism (2) comes before Realistic (1).

Next, the remaining words starting with Res are compared at their fourth letter. Research has e, Restore has t, and Resurge has u. Following alphabetical order, e comes before t, and t comes before u. This places Research (4) third, Restore (3) fourth, and Resurge (5) last. Arranging these positions results in the sequence 2, 1, 4, 3, 5.

Explanation

JNQS is the odd letter-cluster because the numerical intervals between its consecutive letters are not constant. In terms of alphabetical positions, the letters are J = 10, N = 14, Q = 17, and S = 19. The differences between these consecutive positions are 14 - 10 = 4, 17 - 14 = 3, and 19 - 17 = 2. This decreasing sequence of gaps (+4, +3, +2) distinguishes it from the other letter-clusters in the set, which all maintain a uniform and consistent numerical interval between every successive letter.

Explanation

The coding logic follows a transformation where the five-letter word is divided into three parts: the first two letters, the middle letter, and the last two letters. For the first two letters, each is incremented by 1 and their positions are interchanged. For the middle letter, it is incremented by 3. For the last two letters, each is incremented by 1 and their positions are interchanged.

Applying this to DRONE: D+1 = E, R+1 = S. Swapping them gives SE. O+3 = R. N+1 = O, E+1 = F. Swapping them gives FO. Combining these segments results in SERFO.

Applying the same logic to HOUSE: H+1 = I, O+1 = P. Swapping them gives PI. U+3 = X. S+1 = T, E+1 = F. Swapping them gives FT. Combining these segments results in PIXFT.

Explanation

The series follows a specific addition pattern for each corresponding letter position in the clusters. For the first letter, there is a constant increment of 1: D +1 E +1 F +1 G +1 H. For the second letter, the increment is 2: J +2 L +2 N +2 P +2 R. For the third letter, the increment is 3: Q +3 T +3 W +3 Z +3 C (where 26+3 wraps around to the 3rd letter). For the fourth letter, the increment is 4: C +4 G +4 K +4 O +4 S. Combining these individual results gives the cluster HRCS.

Explanation

The relationship between the given words is that of a process and its intended positive outcome. An audition is a formal assessment or trial performance conducted to evaluate a candidate, where the successful result of that process is selection. Similarly, an examination is a formal test of knowledge or ability, where the successful result of completing that process is a pass. In both pairs, the first term represents the evaluative procedure and the second term represents the achievement or successful conclusion of that procedure.

Explanation

By substituting the given operators A = -, B = ×, C = +, and D = ÷ into the expression 32B4A 12 B(35A24)C52D4, we obtain the following numerical expression:

32 × 4 - 12 × (35 - 24) + 52 ÷ 4

Applying the BODMAS rule, we first evaluate the term within the parentheses: 35 - 24 = 11

The expression now becomes: 32 × 4 - 12 × 11 + 52 ÷ 4

Next, we perform the multiplication and division operations: 32 × 4 = 128 12 × 11 = 132 52 ÷ 4 = 13

Substituting these values back into the expression: 128 - 132 + 13

Finally, we perform the addition and subtraction: 128 - 132 + 13 = -4 + 13 = 9

Explanation

The coding logic is based on the sum of the positional values of the consonants added to twice the sum of the positional values of the vowels in each word.

In the word POUND, the consonants are P (16), N (14), and D (4), with a sum of 16 + 14 + 4 = 34. The vowels are O (15) and U (21), with a sum of 15 + 21 = 36. The code is calculated as 34 + (2 × 36) = 34 + 72 = 106.

In the word CLEAN, the consonants are C (3), L (12), and N (14), with a sum of 3 + 12 + 14 = 29. The vowels are E (5) and A (1), with a sum of 5 + 1 = 6. The code is calculated as 29 + (2 × 6) = 29 + 12 = 41.

Applying this logic to the word MAKER, the consonants are M (13), K (11), and R (18). Their sum is 13 + 11 + 18 = 42. The vowels are A (1) and E (5), and their sum is 1 + 5 = 6. The final code is determined by the calculation 42 + (2 × 6) = 42 + 12 = 54.

Explanation

The mathematical logic followed in these pairs is y = 7x + 7, where x is the first number and y is the second number. This relationship can also be expressed as y = 7(x + 1). In the case of option d, if we substitute the first number 43 into the formula, we get 43 × 7 + 7 = 301 + 7 = 308. Since the pair provided is 43:318, it does not satisfy the rule applied to the other pairs in the set, making it the different one.

Explanation

The relationship between the numbers in the set (n₁, n₂, n₃) is defined by the formula n₁ + n₂ = 4 × n₃. In the given set (88, 60, 37), the calculation is 88 + 60 = 148, and 4 × 37 = 148. Applying this same logic to the numbers in option c, the sum of the first two numbers is 94 + 42 = 136. Dividing this sum by 4 yields 136 ÷ 4 = 34, which is the third number in the set.

Explanation

The pattern follows the formula: Row1² - Row2³ = Row3.

In the first column, the relationship is 11² - 4³ = 121 - 64 = 57.

In the second column, the same logic applies: 12² - 5³ = 144 - 125 = 19.

Following this pattern for the third column, the missing number is calculated as 18² - 6³ = 324 - 216 = 108.

Explanation

The relationship in the analogy is between a country and the continent where it is located. Ethiopia is a sovereign state situated in the Horn of Africa on the African continent. Similarly, Brazil is the largest country in the southern hemisphere, occupying nearly half of the continent of South America.

Explanation

The coding logic involves identifying the numerical position of each letter in the English alphabet (A=1, B=2, C=3, ..., Z=26) and adding 1 to that value. These incremented values are then concatenated to form the code string.

For the word SPECIAL, the letters correspond to: S (19) + 1 = 20 P (16) + 1 = 17 E (5) + 1 = 6 C (3) + 1 = 4 I (9) + 1 = 10 A (1) + 1 = 2 L (12) + 1 = 13 Concatenating these gives 20176410213.

Applying the same logic to MACHINE: M (13) + 1 = 14 A (1) + 1 = 2 C (3) + 1 = 4 H (8) + 1 = 9 I (9) + 1 = 10 N (14) + 1 = 15 E (5) + 1 = 6 Concatenating these values yields 1424910156.

Explanation

To make the equation 14 × 3 ÷ 27 + 54 - 9 = 21 correct, we interchange the division ÷ and subtraction - signs. The modified expression becomes 14 × 3 - 27 + 54 ÷ 9.

Following the BODMAS rule, first perform the division: 54 ÷ 9 = 6 The equation becomes 14 × 3 - 27 + 6.

Next, perform the multiplication: 14 × 3 = 42 The equation becomes 42 - 27 + 6.

Finally, perform the addition and subtraction: 42 + 6 - 27 = 48 - 27 = 21

Since the result matches the right-hand side of the equation, the interchange of ÷ and - is correct.

Explanation

The coding pattern involves dividing the eight-letter word into two equal halves of four letters each and then reversing the sequence of letters within each half independently. For the word FIXATION, the first half FIXA is reversed to become AXIF, and the second half TION is reversed to become NOIT, resulting in the code AXIFNOIT.

Applying the same logic to the word GLYCERIN, we divide it into the first four letters GLYC and the last four letters ERIN. Reversing the sequence of the first half GLYC gives CYLG, and reversing the sequence of the second half ERIN gives NIRE. When these two reversed segments are joined together, the resulting code is CYLGNIRE.

Explanation

In the English alphabet, two letters are considered opposites if the sum of their numerical positions is exactly 27. In the given clusters, the pairs AZ (1 + 26 = 27), LO (12 + 15 = 27), and GT (7 + 20 = 27) all consist of opposite letters. However, for the cluster KN, the positional value of K is 11 and N is 14. The sum of their positions is 11 + 14 = 25, which does not satisfy the logic of opposite letter pairs.

Explanation

Bone marrow is a soft, spongy tissue found inside the center of most bones that is responsible for the production of blood cells, including red blood cells, white blood cells, and platelets. It is a fundamental part of the human anatomy and physiological system. In contrast, the other three terms describe specific medical diseases or pathological conditions that affect the body's health. Because bone marrow is an anatomical component rather than a disease, it is the odd word in the group.

Explanation

The logic followed in the given set (22, 64, 352) is based on the formula: (First number × Second number)/(4) = Third number. Substituting the values from the set, we get (22 × 64)/(4) = 22 × 16 = 352.

Applying the same logic to the numbers in option d, which are (14, 68, 238), the calculation is (14 × 68)/(4) = 14 × 17 = 238. The relationship between the numbers is identical to that of the original set.

Explanation

The relationship between the words in the pair Temple : Worship is that of a place and the primary purpose or activity performed within it. A temple is a building dedicated to religious activities, specifically worship. Similarly, a church is a place of religious significance where the primary activity conducted by the followers is prayer. Both pairs identify a specific venue and the functional act associated with that venue.

Explanation

The number-pair 21:154 is different because it does not follow the mathematical relationship y = 7x - 3, where x represents the first number and y represents the second number. When applying this pattern to the first number 21, the calculation is 7 × 21 - 3 = 147 - 3 = 144. Because the pair provided contains 154 instead of 144, it deviates from the logic where the second number is three less than seven times the first.

Explanation

The relationship between the numbers in the given analogy follows the mathematical pattern y = 2x³ - x. For the first pair, substituting x = 3 into the expression gives 2(3³) - 3, which simplifies to 2(27) - 3 = 54 - 3 = 51.

Applying the same logic to the third number where x = 7, the calculation becomes 2(7³) - 7. Substituting the value of the cube of 7, we get 2(343) - 7 = 686 - 7 = 679. This formula consistently derives the second number from the first and provides the corresponding value for the fourth number in the sequence.

Explanation

To find the day of the week for 29 June 2010, we calculate the total number of odd days from the reference year 0001. The number of odd days in 2000 years is 0.

For the remaining period from 2001 to 2009, there are 9 years. This period includes 2 leap years (2004 and 2008) and 7 ordinary years. The total odd days in these 9 years is calculated as 9 + 2 = 11 days. Reducing this modulo 7, we get 11 7 = 4 odd days.

Next, we calculate the number of days in the year 2010 up to June 29. 2010 is an ordinary year, so February has 28 days. The days are: January (31), February (28), March (31), April (30), May (31), and June (29). The sum is 31 + 28 + 31 + 30 + 31 + 29 = 180 days. Converting these to odd days, we get 180 7 = 5 odd days.

The total number of odd days is 4 + 5 = 9 days. Reducing this modulo 7 gives 9 7 = 2 odd days. In the standard odd-day mapping where 0 is Sunday and 1 is Monday, 2 corresponds to Tuesday.

Explanation

The series is based on an increasing difference between consecutive terms, where the increment to the difference alternates between 2 and 4. First, calculate the differences between the initial terms: 50 - 39 = 11, 63 - 50 = 13, and 80 - 63 = 17. The pattern of these differences is 13 - 11 = 2 and 17 - 13 = 4.

Following the alternating pattern of +2 and +4, the next difference must be 17 + 2 = 19. Adding this to the last known term gives 80 + 19 = 99. This logic is confirmed by the remaining terms in the series: the next difference is 19 + 4 = 23, which gives 99 + 23 = 122. Subsequent differences are 23 + 2 = 25 and 25 + 4 = 29, resulting in 122 + 25 = 147 and 147 + 29 = 176.

Explanation

From the expression Y × M - T - Z ÷ L × U, we can decode the relationships step-by-step. The first part Y × M indicates that Y is the husband of M, which makes M the wife. The sequence M - T - Z establishes that M, T, and Z are siblings, with M and T being sisters. The next part Z ÷ L shows that Z is the son of L; since M, T, and Z are siblings, L is the father of all three children. Finally, L × U means that L is the husband of U, identifying U as the mother of M, T, and Z. Because M is the wife of Y, and U is the mother of M, U is the mother-in-law of Y.

Explanation

The production of a movie follows a chronological sequence beginning with pre-production and ending with the finished product. The process starts with Casting (1), which involves selecting the appropriate actors for the roles. Once the actors are selected, they perform through Acting (2) while the cameras are rolling during the Film Shooting (3) phase to capture the required scenes. After the production phase is finished, the footage undergoes Editing (5) in post-production to assemble and refine the content. The successful completion of these sequential stages leads to the creation of the Final Film (4).

Explanation

The relationship in the first pair is based on classification: Photoshop is a specific application program, which falls under the broader category of software. Similarly, an optical mouse is a physical peripheral device used for providing input to a computer. In computing, all physical components and tangible equipment are classified as hardware, making hardware the corresponding category for an optical mouse.

Explanation

Statement 1 is a universal negative proposition of the form No A is B. In syllogistic logic, such propositions are subject to valid conversion, which means the relationship is reciprocal; therefore, No garden is a park directly implies No park is a garden, making Conclusion I logically valid. Statement 2 is a particular affirmative proposition of the form Some A is B. These propositions are also subject to valid conversion, meaning the existence of an intersection between two sets is mutual; hence, Some gardens are schools directly implies Some schools are gardens, making Conclusion II logically valid. Conclusion III is invalid because it represents an affirmative relationship between parks and gardens, which is explicitly denied by the universal negative relationship established in the first statement.

Explanation

The cluster BFF is the odd one out based on the alphabetical positions of its letters (A=1, B=2, …, Z=26). In the logic applied to these clusters, the second letter is the square of the numerical position of the first letter, and the third letter is the position of the first letter plus 3. For BFF, the first letter B is at position 2. This would require the second letter to be 2² = 4 (D) and the third letter to be 2 + 3 = 5 (E). Instead, BFF features the letter F (position 6) in both the second and third spots, failing to follow the systematic pattern.

Explanation

The series follows an alternating addition pattern based on the alphabetical positions of the letters. The numerical positions of the given letters are: C(3), E(5), H(8), J(10), M(13), O(15), and R(18).

The differences between consecutive terms are as follows: 3 + 2 = 5 (E) 5 + 3 = 8 (H) 8 + 2 = 10 (J) 10 + 3 = 13 (M) 13 + 2 = 15 (O) 15 + 3 = 18 (R)

Following the alternating pattern of adding 2 and then adding 3, the next step in the series requires adding 2 to the position of the last letter. Calculating the next position gives 18 + 2 = 20. The 20th letter of the English alphabet is T.

Explanation

Following the given symbol codes, A is -, B is ×, C is +, and D is ÷. Substituting these into the expression, we get:

43 + 29 × 3 - 14 × (5 + 4) + 11 + (14 - 3) - 64 ÷ 8 × 2

Applying the BODMAS rule, we first solve the operations inside the parentheses:

43 + 29 × 3 - 14 × 9 + 11 + 11 - 64 ÷ 8 × 2

Next, perform division and multiplication from left to right:

43 + 87 - 126 + 11 + 11 - 8 × 2 43 + 87 - 126 + 11 + 11 - 16

Finally, perform addition and subtraction from left to right:

130 - 126 + 11 + 11 - 16 4 + 11 + 11 - 16 15 + 11 - 16 26 - 16 = 10

Explanation

The series follows a triadic pattern where each set of three numbers follows a specific internal addition logic. Within each triad, the second term is obtained by adding 2 to the first term, and the third term is obtained by adding 4 to the second term.

In the first triad (11, 13, 17), we have 11 + 2 = 13 and 13 + 4 = 17. In the second triad (33, 35, 39), the logic remains consistent as 33 + 2 = 35 and 35 + 4 = 39.

Applying this same logic to the third triad (189, 191, ?), the first two terms are 189 and 189 + 2 = 191. Following the established pattern of adding 4 to the second term of the triad to find the third term, the missing value is calculated as 191 + 4 = 195.

Explanation

The words are arranged in a logical anatomical sequence from the top of the human body to the bottom. Starting from the head, the highest part among the given options is the Forehead (2). Moving downwards, the next part is the Nose (1), followed by the Chin (3) located at the bottom of the face. Continuing down the torso, the Chest (5) is positioned below the neck, and the Waist (4) is the lowest part of the body included in this list. This top-to-bottom progression corresponds to the sequence 2, 1, 3, 5, 4.