IBPS PO Prelims 2024 Question Paper with Answers & Explanations

Explanation

Placing the seven persons around the table according to the given clues yields the circular order clockwise as A (facing away), G (facing centre), B (facing away), D (facing away), F (facing away), C (facing centre), and E (facing centre). Since E faces towards the centre, moving two positions clockwise along E's right side leads to G.

Explanation

From the completed seating arrangement, A, B, D, and F face away from the centre, whereas G, C, and E face towards the centre. Therefore, G and C face the same direction.

Explanation

Arranging the 7 persons around the circle in clockwise order from positions 1 to 7:

A faces away from the centre at position 1. Since facing away from the centre means right is in the clockwise direction, F (3rd to the right of A) is at position 4. The immediate neighbours of A (positions 2 and 7) face towards the centre.

A and B face away from the centre, so B cannot occupy position 2 or 7. C is at position 3 because 1 person sits between A and C (and C facing towards the centre allows D to sit 2nd to its left at position 5).

Since positions 2 and 7 are the only spots left for E and G, and G faces towards the centre, 2nd to the left of G (clockwise) places E at position 2 and G at position 7. B takes the remaining spot at position 6.

The clockwise order of persons from position 1 to 7 is A, E, C, F, D, B, G. Counting clockwise from F (position 4) to B (position 6), only D (position 5) sits between them. Therefore, exactly one person sits between B and F.

Explanation

Evaluating the facing directions from the arrangement reveals that F, B, D, and A all face away from the centre, making C the only person in the given choices who faces towards the centre.

Explanation

G faces towards the centre, confirming statement I. Both F and A face away from the centre, confirming statement II. Counting clockwise from D to C passes only through F, so only one person sits between D and C clockwise, making statement III false.

Explanation

O is the father-in-law (male), R is the son of O and husband of T (male), N is the son of R (male), and P is the husband of V (male). V is the daughter of R and T, making her the only female among the choices.

Explanation

O is male and married to M, who is female. Their child R is married to T, and together they have a daughter V. Therefore, M is the paternal grandmother of V.

Explanation

R and T are the parents of V. Since V is female and married to P, P is the husband of R's daughter, which makes P the son-in-law of R.

Explanation

Extracting the 3rd, 4th, 5th, and 7th letters from 'EXACTITUDE' gives A, C, T, and T. Arranging these letters forms the single valid four-letter English word TACT. The second letter of TACT is A.

Explanation

Calculating the ages in 2024 yields 69 (1955), 57 (1967), 51 (1973), 44 (1980), 37 (1987), 33 (1991), and 21 (2003). Matching the clues places P in 1955, O in 1967, L in 1973, M in 1980, N in 1987, K in 1991, and Q in 2003.

Explanation

Calculating the ages in 2024 for the birth years 1955, 1967, 1973, 1980, 1987, 1991, and 2003 yields 69, 57, 51, 44, 37, 33, and 21 years respectively. Since Q and K have an age difference of 12 years, the candidate pairs are (1955, 1967) and (1991, 2003). L's age is a multiple of 3 and three persons were born between L and Q, which fixes Q in 2003 (age 21), L in 1973 (age 51), P in 1955 (age 69), and K in 1991 (age 33). M is 7 years older than N, placing M in 1980 (age 44) and N in 1987 (age 37), with O in 1967 (age 57). The age difference between M (44) and Q (21) is 44 - 21 = 23 years.

Explanation

From the calculated ages in 2024 (1955: 69, 1967: 57, 1973: 51, 1980: 44, 1987: 37, 1991: 33, 2003: 21), the conditions establish the complete arrangement of birth years: P (1955), O (1967), L (1973), M (1980), N (1987), K (1991), and Q (2003). Since M is 7 years older than N, M's age is 44 and N's age is 37. Therefore, M was born in the year 1980.

Explanation

Based on the base year 2024, the ages of the seven individuals are 69, 57, 51, 44, 37, 33, and 21. Solving the puzzle gives K's birth year as 1991 (age 33) and N's birth year as 1987 (age 37). Summing the ages of K and N gives 33 + 37 = 70 years.

Explanation

Arranging the individuals chronologically by birth year gives P (1955), O (1967), L (1973), M (1980), N (1987), K (1991), and Q (2003). Comparing P to L shows a move of two positions forward. Similarly, N (position 5) to Q (position 7) moves two positions forward. Following this identical pattern for M (position 4) leads to K (position 6).

Explanation

Comparing 'Play the same game.' (us ud ut uk) and 'Seen in the play.' (uk ua ud um) shows 'the' is 'ud' and 'play' is 'uk'. Comparing 'Seen in the play.' and 'The jar is seen.' (ud ua uh uw) reveals 'seen' is 'ua'. In 'The same game played' (ut ud ub us), 'played' must be 'ub'. Consequently, the word pair {'same', 'game'} corresponds to {'us', 'ut'}. Since 'ut' is listed, 'same' is coded as 'ut'.

Explanation

The sentence 'The jar is seen.' has codes 'ud ua uh uw'. With 'the' = 'ud' and 'seen' = 'ua', the remaining words {'jar', 'is'} correspond to {'uh', 'uw'}. If 'jar' is coded as 'uh', then 'is' must be coded as 'uw'. Since 'played' is uniquely coded as 'ub' from the fourth statement, the combined code for 'is played' is 'uw ub'.

Explanation

Statement 1 ('Play the same game.') and Statement 2 ('Seen in the play.') both contain 'the' and 'play', sharing codes 'ud' and 'uk'. Statement 3 ('The jar is seen.') also contains 'the' and shares the code 'ud', confirming 'the' is 'ud'. Therefore, 'play' is coded as 'uk'.

Explanation

From the decoded dictionary: 'played' = 'ub', {'same', 'game'} = {'ut', 'us'}, and {'jar', 'is'} = {'uh', 'uw'}. Selecting 'us' for 'game', 'uh' for 'is', and 'ub' for 'played' forms the valid code combination 'us uh ub'.

Explanation

In Statement 2 ('Seen in the play.' -> 'uk ua ud um'), three of the words are already mapped to specific codes: 'play' is 'uk', 'seen' is 'ua', and 'the' is 'ud'. The remaining unmapped word 'in' must correspond to the remaining code 'um'.

Explanation

With six positions numbered 1 to 6 from left to right, Strawberry is at position 6 (right end). B sits 3rd to the left of Guava, placing B at position 1 and Guava at position 4. C sits 3rd to the right of E, placing E at position 2 and C at position 5 (Mango). A sits 2nd to the left of Mango, so A is at position 3 (Banana). Since zero persons sit to the right of D (position 6), zero persons sit to the left of Apple, making B at position 1 like Apple. The remaining person F sits at position 4 and likes Guava.

Explanation

Arranging the six persons from left to right in positions 1 to 6 based on the given clues: Position 1: B (Apple) Position 2: E (Orange) Position 3: A (Banana) Position 4: F (Guava) Position 5: C (Mango) Position 6: D (Strawberry)

C sits at position 5 while the person who likes Orange (E) sits at position 2. The number of persons sitting between position 2 and position 5 is 5 - 2 - 1 = 2 persons.

Explanation

From the linear arrangement (left to right, positions 1 to 6): Position 1: B (Apple) Position 2: E (Orange) Position 3: A (Banana) Position 4: F (Guava) Position 5: C (Mango) Position 6: D (Strawberry)

The person who likes Guava is F at position 4. Sitting third to the left of F is position 4 - 3 = 1, which is occupied by B. B is the person who sits immediately to the left of E (at position 2).

Explanation

Evaluating the final seating arrangement from positions 1 to 6: Position 1: B (Apple) Position 2: E (Orange) Position 3: A (Banana) Position 4: F (Guava) Position 5: C (Mango) Position 6: D (Strawberry)

A sits at position 3 and D sits at position 6. The position difference is 6 - 3 = 3, which means A sits third to the left of D.

Explanation

Based on the arrangement: Position 1: B (Apple) Position 2: E (Orange) Position 3: A (Banana) Position 4: F (Guava) Position 5: C (Mango) Position 6: D (Strawberry)

In B-Banana, Banana is two places to the right of B. In F-Orange, Orange is two places to the left of F. In E-Guava, Guava is two places to the right of E. In A-Apple, Apple is two places to the left of A. In C-Mango, Mango is the fruit liked by C itself at position 5, making it the odd pair.

Explanation

Using alphabetical positions (A=1, B=2, ..., Z=26): FBI: F(6) - 4 = B(2); B(2) + 7 = I(9) EAH: E(5) - 4 = A(1); A(1) + 7 = H(8) IEL: I(9) - 4 = E(5); E(5) + 7 = L(12) RNU: R(18) - 4 = N(14); N(14) + 7 = U(21) PLR: P(16) - 4 = L(12); L(12) + 6 = R(18)

All letter groups follow a rule where the second letter is 4 positions back from the first, and the third letter is 7 positions forward from the second, except PLR where the second step adds 6 instead of 7.

Explanation

Arranging the boxes from top (6) to bottom (1) using the given constraints: Position 6: D (Brass) Position 5: C (Jute) Position 4: F (Iron) Position 3: B (Leather) Position 2: A (Wood) Position 1: E (Steel)

The Brass box is D at position 6, and Box A is at position 2. The boxes placed between position 6 and position 2 are positions 5, 4, and 3, which equals 3 boxes.

Explanation

The complete stack order from top to bottom (6 to 1) is: Position 6: D (Brass) Position 5: C (Jute) Position 4: F (Iron) Position 3: B (Leather) Position 2: A (Wood) Position 1: E (Steel)

Box C is the Jute box, not the Brass box (which is Box D).

Explanation

The stack arrangement from top (6) to bottom (1) is: Position 6: D (Brass) Position 5: C (Jute) Position 4: F (Iron) Position 3: B (Leather) Position 2: A (Wood) Position 1: E (Steel)

Box F is placed at position 4 and is made of Iron.

Explanation

The box positions from 6 to 1 are: Position 6: D (Brass) Position 5: C (Jute) Position 4: F (Iron) Position 3: B (Leather) Position 2: A (Wood) Position 1: E (Steel)

In the given relationship pattern: Box E (position 1) relates to Wood (position 2). Box A (position 2) relates to Leather (position 3). Each box is paired with the material type of the box immediately above it. Therefore, the box that relates to the Jute box (position 5) is Box F (position 4).

Explanation

The vertical stack of boxes from top (6) to bottom (1) is: Position 6: D (Brass) Position 5: C (Jute) Position 4: F (Iron) Position 3: B (Leather) Position 2: A (Wood) Position 1: E (Steel)

Box D is at position 6, so there are 0 boxes placed above Box D. The box that has 0 boxes placed below it is the bottommost box, which is Box E at position 1.

Explanation

The letter positions in the word ORGANIZE are O(1), R(2), G(3), A(4), N(5), I(6), Z(7), E(8). Their corresponding positions in the English alphabet are O(15), R(18), G(7), A(1), N(14), I(9), Z(26), E(5). The distance between A (position 4) and E (position 8) in the word is 8 - 4 = 4 positions, with 3 letters between them. In the alphabet, the distance between A (1) and E (5) is 5 - 1 = 4 positions, with 3 letters (B, C, D) between them. Checking all other letter pairs in both forward and backward directions yields no other match.

Explanation

Arranging the six persons from heaviest (1) to lightest (6), Position 3 is given as 40 kg. Since S is immediately heavier than P, and T is 20 kg heavier than P, T must be at Position 1, S at Position 2, and P at Position 3 (40 kg). T's weight is 40 + 20 = 60 kg. Therefore, S occupies Position 2 between T (60 kg) and P (40 kg), which means its weight must lie strictly between 40 kg and 60 kg. The value of 53 kg is the only weight in that range.

Explanation

From the positional arrangement, P is the third heaviest person weighing 40 kg. R's weight is 15 kg less than P, so R weighs 40 - 15 = 25 kg. Since R's weight is 5 kg more than U, U weighs 25 - 5 = 20 kg. Adding the weights of R and U gives 25 + 20 = 45 kg.

Explanation

The weight ranking from heaviest to lightest is Position 1 (T), Position 2 (S), Position 3 (P), Position 4 (Q), Position 5 (R or U), and Position 6 (U or R). Exactly two persons (T and S) are heavier than P. Similarly, exactly two persons (R and U) are lighter than Q, making the count of persons heavier than P equal to the count of persons lighter than Q.

Explanation

The letters of CONVERSION at odd positions (1: C, 3: N, 5: E, 7: S, 9: O) replaced by their next letters become D, O, F, T, P. The letters at even positions (2: O, 4: V, 6: R, 8: I, 10: N) replaced by their previous letters become N, U, Q, H, M. Combining these gives the new sequence D, N, O, U, F, Q, T, H, P, M. Since all ten letters in this arrangement are distinct, zero letters are repeated.

Explanation

The text explicitly notes that women score higher in areas such as empathy, interpersonal relationships, and social responsibility, validating statement II. It also states that men perform better in assertiveness, stress tolerance, and self-regard, validating statement III. Statement I is false because the passage highlights that socialization plays a significant role alongside biological factors in shaping EQ competencies.

Explanation

The passage asserts that women's strengths in empathy and interpersonal relationships make them highly effective in teamwork and collaborative settings, but notes these skills are often undervalued in leadership hierarchies. Stating that these strengths are particularly well-suited for competitive, high-pressure leadership roles directly contradicts the passage text.

Explanation

Statement I is correct because the passage explicitly mentions that women's relational skills are sometimes undervalued in leadership hierarchies. Statement III is correct as the text explains that learned emotional behaviors are reinforced by societal norms as individuals grow into adults. Statement II is false because the text attributes effectiveness in teamwork and collaborative settings to women, not men.

Explanation

The passage states that emotional differences "lay the foundation" for the distinct approaches each gender brings to the workplace. In this context, "lay" refers to setting up, creating, or establishing a basis or structure for future development.

Explanation

The final paragraph directly supports this conclusion by stating that recognizing and valuing gender-based differences in emotional intelligence helps organizations leverage diverse emotional strengths, fostering a more balanced and inclusive leadership landscape.

Explanation

The third paragraph directly explains that adult behaviors shaped during childhood are reinforced by societal expectations. This reinforcement enables men to excel in competitive workplace environments due to socialized assertiveness, while women's socialized relational strengths make them effective in collaborative and team-oriented roles.

Explanation

To approach means to come near or move toward a specific target or location. The word withdraw means to retreat, move back, or draw away from a position, which serves as the exact opposite in meaning.

Explanation

The passage describes how societal expectations influence childhood development. In this context, boys are positive targets of social expectations, meaning they are encouraged to adopt traits like competitiveness, confidence, and assertiveness.

Explanation

The noun activities is grammatically incorrect in this context because it conflicts with the singular verb was. For proper subject-verb agreement, a singular verb requires a singular subject. Since hiking refers to a single action, the plural noun activities must be replaced with the singular form activity to make the sentence grammatically correct.

Explanation

In the sentence context describing emotional reaction to a beautiful sunset, the intended noun is joy. The word joe is a spelling mistake that renders the phrase semantically incorrect.

Explanation

Statement (I) correctly uses the collective noun team with singular agreement and plural relative reference. Statement (II) correctly structures the contrast with proper clauses. Statement (III) is incorrect because the singular distributive subject Each requires the singular verb was required rather than the plural were required.

Explanation

Statement (I) is incorrect because the subject The manager is singular, requiring the singular verb was discussing rather than were discussing despite the intervening phrase along with her team. Statement (II) is incorrect because conditional clauses expressing past unreal situations require the past perfect tense (If I had known) rather than would have known. Statement (III) uses proper tense and prepositions throughout.

Explanation

Statement (I) is incorrect because the third conditional if-clause must use the past perfect structure (If you had studied) instead of would have studied. Statements (II) and (III) are both grammatically sound and contextually appropriate.

Explanation

A cohesive paragraph begins with an introductory statement establishing the setting and central subject. Sentence (C) introduces Paris and its recent resurgence of bed bugs, providing the foundational context that all subsequent sentences elaborate upon.

Explanation

Sentence (C) introduces the troubling resurgence of bed bugs in Paris. Sentence (D) uses the demonstrative phrase "This outbreak" to directly reference that resurgence, explaining how the situation has created concerns for both local residents and international tourists, making it the correct second sentence.

Explanation

The paragraph begins with statement C introducing the resurgence of bed bugs in Paris, followed by statement D which details the concerns raised among residents and tourists. Statement E logically follows as the third sentence by providing the experts' explanation for how international travel and urban density facilitated this rapid spread.

Explanation

After statement E explains the causes of the rapid spread, statement B naturally comes fourth to describe how the infestation persisted across public transport, tourist spots, and airports despite containment efforts.

Explanation

Statement A concludes the passage by noting that the government employed authorities for fumigations as a direct result of the escalating situation described in the preceding sentences.

Explanation

Sentence (II) is grammatically and contextually sound because it correctly uses the past perfect tense ('had already started') to indicate an action completed before another past action ('arrived').

Explanation

Sentence (II) is grammatically incorrect because 'despite' is a preposition that does not take 'of'. Sentence (III) is also incorrect because 'since' refers to a specific starting point in time, whereas a period or duration such as 'six months' requires the preposition 'for'.

Explanation

All four highlighted words—crown, newest, coronation, and praise—are spelled correctly and contextually appropriate in the sentence. Crown refers to the headpiece placed during the ceremony, newest describes the ruler, coronation correctly denotes the ceremony of crowning a monarch, and praise accurately fits the context of public acclaim and celebration. Each highlighted word is used in its correct form and sense.

Explanation

Every highlighted term is used accurately according to standard English vocabulary and grammar. The adjective 'vapid' correctly describes a dull or uninspiring experience, fitting the context of spending a vacation indoors without activity.

Explanation

A charity refers to an organization set up to provide help and raise money for those in need, which perfectly completes the sentence regarding donations for underprivileged children.

Explanation

'Prestigious' means inspiring respect and admiration or having high status, making it the most suitable word to describe world-renowned artists featured in an exhibition.

Explanation

'Profound' means having great knowledge, depth, or serious effect. It forms a standard collocation with 'impact' to describe a life-changing influence on one's viewpoint.

Explanation

The sentence describes a situation where a sudden power outage leads to traffic jams and confused crowds. The word chaos fits the context as it refers to a state of utter confusion and disorder, making the sentence meaningful and grammatically correct.

Explanation

Flipping a switch turns a machine on, causing it to start operating. The word activated means to set a mechanism in motion or make something active, fitting the sentence logically and grammatically to indicate that the machine began operating smoothly once switched on.

Explanation

The phrasal verb come up means to be mentioned or raised for discussion, as seen when talking about an issue during a meeting. It also means to arise or occur unexpectedly, as seen when referring to an opportunity becoming available. Both of these contexts correctly apply the meaning of the phrasal verb.

Explanation

The phrasal verb get across means to communicate or convey an idea, message, or information successfully to an audience. Traversing a physical feature like a mountain requires verbs such as crossed or traversed, so using get across in that physical context is incorrect.

Explanation

The phrasal verb check out has multiple standard meanings in English usage: to complete the departure procedure when leaving a hotel, to borrow items such as books from a library, and to inspect, visit, or try something of interest. All three sentences employ these established meanings appropriately.

Explanation

Cars sold by Y in city K equal (2/5) × 210 = 84. Total cars sold in city K by X and Y equal 450, so cars sold by X in city K equal 450 - 84 = 366. Bikes sold by X in city M equal total bikes sold in M minus bikes sold by Y in M, which is 440 - 90 = 350. The difference between cars sold by X in city K and bikes sold by X in city M is 366 - 350 = 16.

Explanation

Bikes sold by X in city M equal total bikes in M minus bikes sold by Y in M, which is 440 - 90 = 350. Cars sold by X in city N are 20% less than bikes sold by X in city M, which equals 350 × (1 - 0.20) = 280. Total cars sold in city N by X and Y equal 350, so cars sold by Y in city N equal 350 - 280 = 70. Total bikes sold by Y in city K are given as 210. The ratio of cars sold by Y in city N to bikes sold by Y in city K is 70 : 210 = 1 : 3.

Explanation

Total cars sold in city L by companies X and Y together equal 980. The ratio of cars sold by X to Y in city L is given as 3:4. Thus, cars sold by X in city L equal 980 × (3 / (3 + 4)) = 980 × (3 / 7) = 420. The total number of bikes sold by Y in city N is given in the table as 195. The difference between cars sold by X in city L and bikes sold by Y in city N is 420 - 195 = 225.

Explanation

Bikes sold by X in city M equal total bikes in M minus bikes sold by Y in M, which is 440 - 90 = 350. Total cars sold by X and Y together in city N are given directly in the table as 350. Comparing the two values, the percentage difference is ((350 - 350) / 350) × 100% = 0%. Therefore, the number of bikes sold by X in city M is 0% more or less than the total cars sold in city N.

Explanation

Bikes sold by X in city L equal total bikes in L minus bikes sold by Y in L, which is 560 - 320 = 240. Cars sold by Y in city M are 200 more than bikes sold by X in city L, giving 240 + 200 = 440. Total cars sold in city M equal 730, so cars sold by X in city M equal 730 - 440 = 290. Total cars sold in city K equal 450. Expressing cars sold by X in city M as a percentage of total cars sold in city K gives (290 / 450) × 100% = 64.44%, which rounds to 64%.

Explanation

The given number series follows an alternating pattern of subtraction and addition of consecutive multiples of 11: 188 - 11 = 177 177 + 22 = 199 199 - 33 = 166 166 + 44 = 210 210 - 55 = 155 155 + 66 = 221 Evaluating the fifth step, 210 - 55 gives 155. Consequently, 150 is the wrong term in the series and should be replaced by 155 to satisfy the pattern.

Explanation

The given number series follows a division pattern where each term is obtained by dividing the preceding term by 3: 18225 ÷ 3 = 6075 6075 ÷ 3 = 2025 2025 ÷ 3 = 675 675 ÷ 3 = 225 225 ÷ 3 = 75 75 ÷ 3 = 25 Evaluating 675 ÷ 3 yields 225 instead of 220. Therefore, 220 is the wrong number in the sequence.

Explanation

The differences between consecutive terms in the series are: 228 - 210 = 18 250 - 228 = 22 274 - 250 = 24 302 - 274 = 28 332 - 302 = 30 The sequence of differences (18, 22, 24, 28, 30) shows an alternating second difference of +4 and +2: 22 - 18 = +4 24 - 22 = +2 28 - 24 = +4 30 - 28 = +2 Following this alternating pattern, the next difference must be 30 + 4 = 34. Adding 34 to 332 yields 366 instead of 365.

Explanation

The given number series is generated by adding consecutive powers of 2 starting from 2² = 4: 304 + 4 = 308 308 + 8 = 316 316 + 16 = 332 332 + 32 = 364 364 + 64 = 428 428 + 128 = 556 Comparing this correct sequence with the given series shows that 300 is the wrong number, as it should be 308.

Explanation

The series follows a pattern of subtracting consecutive prime numbers starting from 19: 2194 - 19 = 2175 2175 - 23 = 2152 2152 - 29 = 2123 2123 - 31 = 2092 2092 - 37 = 2055 2055 - 41 = 2014 Evaluating 2092 - 37 yields 2055, which also correctly gives 2055 - 41 = 2014 for the final term. Thus, 2054 is the wrong number in the sequence.

Explanation

To find the approximate value, round off the terms to the nearest convenient integers: 5.03% ≈ 5% 39.89 ≈ 40 10.09% ≈ 10% Now, perform the calculation: 5% of 40 = (5 / 100) × 40 = 2 10% of 450 = (10 / 100) × 450 = 45 Adding the two results gives: ? = 2 + 45 = 47

Explanation

Round off the values to the nearest convenient numbers: √840.99 ≈ √841 = 29 361.09 ≈ 361 4.88 ≈ 5 Substitute these into the equation: 29 + (14 / 19) × 361 = ? × 5 Since 361 ÷ 19 = 19: 29 + (14 × 19) = ? × 5 29 + 266 = ? × 5 295 = ? × 5 ? = 295 / 5 = 59

Explanation

Round off the numbers in the expression to their nearest approximate integers: 12.21³ ≈ 12³ = 1728 108.02 ≈ 108 24.90% ≈ 25% = 1/4 399 ≈ 400 Substitute these into the expression: 1728 - 108 = (25 / 100) × 400 + ? 1620 = 100 + ? ? = 1620 - 100 = 1520

Explanation

Round off the terms in the expression: 32.08% ≈ 32% 599 ≈ 600 1.99 ≈ 2 Calculate the numerator of the left side: 32% of 600 = 32 × 6 = 192 Divide by 2: 192 ÷ 2 = 96 Divide by (1/4): 96 ÷ (1/4) = 96 × 4 = 384 Set up the equation: 384 = ?² - 16 ?² = 384 + 16 = 400 ? = √400 = 20

Explanation

Round off each decimal to the nearest integer: 256.03 ≈ 256 15.99 ≈ 16 3.98 ≈ 4 1.99 ≈ 2 12.01 ≈ 12 Substitute these values into the expression: (256 / 16) ÷ (4 / 2) = ? / 12 Calculate the terms inside the parentheses: 256 / 16 = 16 4 / 2 = 2 Perform the division on the left side: 16 ÷ 2 = 8 Solve for ?: 8 = ? / 12 ? = 8 × 12 = 96

Explanation

Let the total work be 24 units. Since B alone completes the work in 24 days, B's rate is 1 unit/day. C's efficiency is 300% more than B, making C's rate 1 + 3 = 4 units/day. The combined rate of A, B, and C is 24 / 4 = 6 units/day. Therefore, A's rate is 6 - (1 + 4) = 1 unit/day. A takes 24 / 1 = 24 days alone, and C takes 24 / 4 = 6 days alone. The difference in days is 24 - 6 = 18 days.

Explanation

R's present age is 10 + 16 = 26 years. Since R's age is the average of P and Q, the sum of P and Q's present ages is 26 × 2 = 52 years. Given P / (Q - 4) = 2 / 1, P = 2Q - 8. Substituting P gives (2Q - 8) + Q = 52, which simplifies to 3Q = 60, so Q = 20 years and P = 32 years. Summing all three ages gives 32 + 20 + 26 = 78 years.

Explanation

Effective compound interest rate for 2 years at 10% p.a. is 10 + 10 + (10 × 10) / 100 = 21%. Simple interest rate for 4 years at 10% p.a. is 10 × 4 = 40%. Let the principal in Scheme A be x and in Scheme B be 12200 - x. Equating the interest from both schemes gives 0.21x = 0.40(12200 - x), which simplifies to 0.61x = 4880, yielding x = 8000.

Explanation

The profit ratio of A, B, and C equals investment multiplied by time. A's profit unit is 12000 × 12 = 144000, B's profit unit is 12000 × x = 12000x, and C's profit unit is 8000 × (12 - x) = 96000 - 8000x. Total profit units simplify to 240 + 4x, with A's contribution being 144. The ratio of A's share to total profit is 144 / (240 + 4x) = 1800 / 3200 = 9 / 16. Solving 144 / (240 + 4x) = 9 / 16 gives 240 + 4x = 256, so x = 4.

Explanation

Train B's speed is (450 + 150) / 24 = 25 m/s. When Train B crosses Train A running in the same direction in 160 seconds, (L_A + 450) / (25 - v_A) = 160, giving L_A + 160 v_A = 3550. From Train A crossing a 230 m platform in 29 seconds, L_A = 29 v_A - 230. Substituting L_A yields 189 v_A = 3780, so v_A = 20 m/s and L_A = 350 m. The time for Train A to cross a 50 m bridge is (350 + 50) / 20 = 20 seconds.

Explanation

Let boat speed in still water be u and stream speed be v. Upstream speed is u - v. Since u / (u - v) = 4 / 3, u = 4v, making downstream speed u + v = 5v and upstream speed 3v. Downstream speed is 560 / 7 = 80 km/h, so 5v = 80 and v = 16 km/h. Thus upstream speed is 3 × 16 = 48 km/h. The time required to travel 480 km upstream is 480 / 48 = 10 hours.

Explanation

Let cost price be 100, so marked price is 160. With 4d% discount, selling price is 160 × (1 - 4d / 100) = 128, which gives 1 - 4d / 100 = 0.8, so d = 5. A discount of 6d% equals 30%, resulting in a new selling price of 160 × 0.70 = 112. With cost price of 100, the profit is 12%.

Explanation

Let milk and water in mixture A be 9x and 5x respectively. Milk in mixture B is 1.2 × 9x = 10.8x, and water in mixture B is 5x / 1.25 = 4x. Total water across both mixtures is 5x + 4x = 9x = 54 liters, so x = 6. Total mixture in A is 9x + 5x = 14x = 14 × 6 = 84 liters.

Explanation

Total weight of all 30 students is 30 × 40 = 1200 kg. Excluding the 6 girls leaves 24 boys with an average weight of 40 - 4 = 36 kg. Total weight of the 24 boys is 24 × 36 = 864 kg. The combined weight of the 6 girls is 1200 - 864 = 336 kg, giving an average weight of 336 / 6 = 56 kg.

Explanation

Let side of square be s, length of rectangle be l = s, and breadth be b. Ratio of areas is s² / (s × b) = s / b = 3 / 2, so s = 1.5b. The perimeter of rectangle is 2(s + b) = 40, which means s + b = 20. Substituting s = 1.5b gives 2.5b = 20, yielding b = 8 meters.

Explanation

Total games won by B = 50. Given the average of games lost by A and won by B is 105: Games lost by A = 2 × 105 - 50 = 160.

The ratio of games lost by A to won by A is 4 : 3: Games won by A = 160 × (3 / 4) = 120.

The ratio of games won by A to lost by B is 3 : 2: Games lost by B = 120 × (2 / 3) = 80.

Games won by C = 80 × 1.20 = 96. The ratio of games won to lost by C is 4 : 5: Games lost by C = 96 × (5 / 4) = 120.

Ratio of games won by A to games lost by C = 120 : 120 = 1 : 1.

Explanation

Total games won by B = 50. Games lost by A = 2 × 105 - 50 = 160. Games won by A = 160 × (3 / 4) = 120. Games lost by B = 120 × (2 / 3) = 80.

Required percentage = (Games lost by B / Games won by A) × 100 = (80 / 120) × 100 = 66.67%.

Explanation

Total games won by B = 50. Games lost by A = 2 × 105 - 50 = 160. Games won by A = 160 × (3 / 4) = 120. Games lost by B = 120 × (2 / 3) = 80.

Sum of total games lost by B and A = 80 + 160 = 240.

Explanation

Games won by B = 50. Games lost by A = 2 × 105 - 50 = 160. Games won by A = 160 × (3 / 4) = 120. Games lost by B = 120 × (2 / 3) = 80. Games won by C = 80 × 1.20 = 96.

Games lost by D = 160 × 1.25 = 200. Games won by D = (96 / 2) + 5 = 48 + 5 = 53.

Difference between games lost and won by D = 200 - 53 = 147.

Explanation

Games won by B = 50. Games lost by A = 2 × 105 - 50 = 160. Games won by A = 160 × (3 / 4) = 120. Games lost by B = 120 × (2 / 3) = 80. Games won by C = 80 × 1.20 = 96. Games lost by C = 96 × (5 / 4) = 120.

Average = (Games won by A + Games won by B + Games lost by C) / 3 = (120 + 50 + 120) / 3 = 290 / 3 = 96.67.

Explanation

Because no two adjacent persons face the same direction, persons at odd positions (1, 3, 5, 7) face towards the centre, while persons at even positions (2, 4, 6, 8) face away from the centre.

The persons facing away from the centre are Q (position 2), R (position 4), V (position 6), and W (position 8). Among the given options, both R and W belong to this set.

Explanation

D is the father of A (female) and C (male, the only son). Thus, D's daughters are sisters to C. A is one sister of C, having children B and E. H is the child of C's sister. Since B and H are children of C's sisters, B and H belong to the same generation and are cousins.

Explanation

From the given family relationship details, E is the brother of B, and G is married to E. Therefore, G and E form a married couple.

Explanation

The generations present in the family tree are: Generation 1: D Generation 2: A and C Generation 3: B, E, G, and H Generation 4: F (daughter of E)

Thus, there are four generations in total.

Explanation

Let us write the letter positions for 'DEMOCRATIC': D(4), E(5), M(13), O(15), C(3), R(18), A(1), T(20), I(9), C(3)

Checking all pairs |pos_j - pos_i| = |rank_j - rank_i|: D (pos 1, rank 4) and E (pos 2, rank 5): pos diff = 1, rank diff = 1. C (pos 5, rank 3) and A (pos 7, rank 1): pos diff = 2, rank diff = 2. R (pos 6, rank 18) and T (pos 8, rank 20): pos diff = 2, rank diff = 2.

There are exactly three such letter pairs.

Explanation

Comparing the first statement 'Rain makes ground wet.' (coded as 'mn pk rz qs') and the third statement 'Fertile soil needs rain.' (coded as 'bt vn cw mn'), the only word common to both statements is 'rain' and the only code common to both is 'mn'. Therefore, 'rain' is coded as 'mn'.

Explanation

Comparing 'Ground is always fertile' and 'Always needs proper water', the common word 'always' is coded as 'lp'.

Comparing 'Fertile soil needs rain' and 'Always needs proper water', the common word 'needs' is coded as 'cw'.

Since 'water' is given as 'xt', substituting the codes for 'always' (lp), 'needs' (cw), and 'water' (xt) into 'Always needs proper water' leaves 'proper' coded as 'jd'.

Comparing 'Rain makes ground wet' and 'Fertile soil needs rain', 'rain' is coded as 'mn'.

Comparing 'Ground is always fertile' and 'Fertile soil needs rain', 'fertile' is coded as 'bt'.

Substituting the codes for 'fertile' (bt), 'needs' (cw), and 'rain' (mn) into 'Fertile soil needs rain' leaves 'soil' coded as 'vn'.

Combining the derived codes, 'proper soil' is coded as 'jd vn'.

Explanation

Comparing the second statement 'Ground is always fertile.' (coded as 'rz lp bt hs') and the fourth statement 'Always needs proper water.' (coded as 'lp cw jd xt'), the common code between them is 'lp' and the common word is 'always'. Therefore, 'lp' stands for 'always'.

Explanation

Comparing the statements yields 'soil' = 'vn', 'always' = 'lp', and 'ground' = 'rz'. In the first statement 'Rain makes ground wet.' (coded as 'mn pk rz qs'), since 'rain' = 'mn' and 'ground' = 'rz', 'wet' is represented by 'qs' (or 'pk'). Matching these individual components gives 'vn lp qs' as the code for 'soil always wet'.

Explanation

Comparing the third statement 'Fertile soil needs rain.' (coded as 'bt vn cw mn') and the fourth statement 'Always needs proper water.' (coded as 'lp cw jd xt'), the only common word is 'needs' and the only common code is 'cw'. Therefore, 'cw' represents 'needs'.

Explanation

The Finance person sits 3rd from the left end (position 3). J sits at an extreme end (position 1, since N sits 3rd to the right of J at position 4). K sits 2nd to the right of Finance (position 5). The departments for M, N, O, and P are given as HR, IT, Sales, and Operations respectively, meaning none of them works in Finance. Since J is at position 1 and K is at position 5, neither can sit at position 3. Therefore, L must sit at position 3 and work in Finance.

Explanation

The correct person-department pairings derived from the given statements are J-Legal, O-Sales, L-Finance, N-IT, K-Marketing, M-HR, and P-Operations. The pair J-HR is incorrect because J works in Legal and M works in HR, making it the odd one out.

Explanation

Comparing alphabetical positions for each group: In ACF, A(1) + 2 = C(3), C(3) + 3 = F(6). In GIL, G(7) + 2 = I(9), I(9) + 3 = L(12). In SUX, S(19) + 2 = U(21), U(21) + 3 = X(24). In WYB, W(23) + 2 = Y(25), Y(25) + 3 = B(2). In MOQ, M(13) + 2 = O(15), O(15) + 2 = Q(17). Thus, MOQ is the odd group out.

Explanation

In the shelf arrangement from top to bottom (shelves 7 to 1), Book P is placed on shelf 5 and Book Q is placed on shelf 3. The only book situated between shelf 5 and shelf 3 is Book V on shelf 4. Hence, there is exactly 1 book placed between P and Q.

Explanation

The complete shelf arrangement from top (7) to bottom (1) is: Shelf 7 = Book S, Shelf 6 = Book R (Blue), Shelf 5 = Book P (Green), Shelf 4 = Book V (Red), Shelf 3 = Book Q (Orange), Shelf 2 = Book T (White/Yellow), Shelf 1 = Book U (Black). The statement claiming Book S is Black is incorrect because Book U on shelf 1 is the Black book.

Explanation

Placing the books on shelves 1 to 7 from bottom to top:

Shelf 4 contains book V. Shelf 6 is Blue, shelf 3 is Orange, and shelf 1 is Black. Since book R is two shelves above Q and book U is immediately below R, R must be on shelf 6, U on shelf 5, and Q on shelf 3. Book P is on an odd shelf above V, which leaves shelf 7 for P. The Green book is immediately above the Red book, so Green is on shelf 5 (book U) and Red is on shelf 4 (book V).

The pattern links each book to the color on the shelf immediately below it: P on shelf 7 is related to the Blue book on shelf 6. V on shelf 4 is related to the Orange book on shelf 3. Similarly, U on shelf 5 is related to the Red book on shelf 4.

Explanation

In the word FINANCIAL, the letter positions from 1 to 9 are F(1), I(2), N(3), A(4), N(5), C(6), I(7), A(8), L(9). Between A at position 4 and C at position 6, the position difference is 6 - 4 = 2. In the English alphabet, C (3) and A (1) have an absolute difference of 3 - 1 = 2. Between C at position 6 and A at position 8, the position difference is 8 - 6 = 2. In the English alphabet, C (3) and A (1) also have an absolute difference of 3 - 1 = 2. No other pairs of letters in FINANCIAL satisfy this condition, making the total number of such pairs 2.

Explanation

The six athletes have distinct running speeds ordered from 1st (fastest) to 6th (slowest). The 3rd fastest athlete runs at 18 km/h. Athlete A is given to be the 2nd fastest athlete, which means A's speed must be strictly greater than the speed of the 3rd fastest athlete (18 km/h). Furthermore, A's speed must be an even number. Looking at the values greater than 18 km/h with an even parity, 20 km/h satisfies all given criteria.

Explanation

According to the condition provided in the puzzle, F is 6 km/h faster than C, which gives the relation: Speed(F) = Speed(C) + 6 km/h Substituting Speed(C) = 12 km/h into the relation yields: Speed(F) = 12 km/h + 6 km/h = 18 km/h.

Explanation

Applying the transformation rules letter-by-letter to REGULATIONS: R (consonant) -> S E (vowel) -> D G (consonant) -> H U (vowel) -> T L (consonant) -> M A (vowel) -> Z T (consonant) -> U I (vowel) -> H O (vowel) -> N N (consonant) -> O S (consonant) -> T The resulting arrangement of letters is S, D, H, T, M, Z, U, H, N, O, T. Counting the occurrences of each letter: D: 1, H: 2, M: 1, N: 1, O: 1, S: 1, T: 2, U: 1, Z: 1. The letters H and T each appear twice, meaning exactly two letters are repeated.

Explanation

Total students enrolled in Course C (2021 to 2023): 600 + 660 + 720 = 1980 Total students enrolled in Course D (2021 to 2023): 240 + 300 + 360 = 900 Difference = 1980 - 900 = 1080.

Explanation

Passed A in 2023 = 600 x 75% = 450. Passed E in 2023 = 540 x 70% = 378. Ratio = 450:378 = 25:21.

Explanation

Percentage Increase Formula: Percentage Increase = [(Enrollment in 2023 - Enrollment in 2021) / Enrollment in 2021] × 100% For Course B: Enrollment in 2021 = 360 Enrollment in 2023 = 480 Increase = 480 - 360 = 120 Percentage Increase = (120 / 360) × 100% = (1 / 3) × 100% = 33.33%.

Explanation

Total students enrolled in Course C in 2023 = 720 Pass percentage in 2023 = 65% Fail percentage = 100% - 65% = 35% Number of failed students = 35% of 720 = 0.35 × 720 = 252.

Explanation

Total 2023 enrollment = 600+480+720+360+540 = 2700. 15% more = 2700 x 1.15 = 3105.

Explanation

Graph values are 2/5 of actual, so actual = graph x 5/2. Sum of X's graph values = 200+250+300+350+280+320 = 1700. Actual total = 1700 x 5/2 = 4250.

Explanation

Since actual revenue is directly proportional to graph values, the month with the maximum difference in graph values also has the maximum difference in actual revenue. The absolute differences in graph values between Companies X and Y for each month are: January is |200 - 180| = 20, February is |250 - 220| = 30, March is |300 - 260| = 40, April is |350 - 300| = 50, May is |280 - 340| = 60, and June is |320 - 280| = 40. The highest difference occurs in May with 60 graph units, corresponding to an actual revenue difference of 60 × 2.5 = 150 lakhs.

Explanation

Since the scaling factor of 5/2 applies equally to both values, the percentage is calculated directly using the graph values: (280 / 300) × 100% = 93.33%.

Explanation

Both series scale by the same factor, so the actual ratio equals the graph ratio. Sum Y = 1580, sum X = 1700. 1580:1700 = 79:85.

Explanation

Company X's graph value in June is 320 lakhs. Converting to actual revenue gives 320 × (5/2) = 800 lakhs. A 20% increase for July gives 800 × 1.20 = 960 lakhs.

Explanation

The rule for the series is multiplying the preceding term by 2 and adding 1: 3 × 2 + 1 = 7, 7 × 2 + 1 = 15, 15 × 2 + 1 = 31, 31 × 2 + 1 = 63, 63 × 2 + 1 = 127, and 127 × 2 + 1 = 255. The term 64 violates this pattern and should be 63.

Explanation

The series follows a geometric rule where each term is 2/3 of the preceding term: 1296 × (2/3) = 864, 864 × (2/3) = 576, 576 × (2/3) = 384, and 384 × (2/3) = 256. The value 386 breaks the sequence and should be 384.

Explanation

Approximating the given values, 14.97% is taken as 15%, 599.8 as 600, and 624.9 as 625. Calculating 15% of 600 gives 90, and the square root of 625 gives 25. Adding these two values yields 90 + 25 = 115. Calculating with exact decimal values gives 89.79006 + 24.998 = 114.788, which rounds to 114.

Explanation

Approximating the given values, 12.03 is taken as 12, 4.98% as 5%, and 1999.9 as 2000. Evaluating 12³ gives 1728, and calculating 5% of 2000 gives 100. Subtracting the two values yields 1728 - 100 = 1628.

Explanation

Approximating the given values, 1764.1 is taken as 1764, 6.97 as 7, and 1.99 as 2. The square root of 1764 is 42, and 7² divided by 2 gives 49 / 2 = 24.5. Summing these values gives 42 + 24.5 = 66.5, which rounds to 66.

Explanation

Approximating the given values, 449.9 is taken as 450, 14.98 as 15, 3.02 as 3, 18.03% as 18%, and 499.9 as 500. Performing the division 450 / 15 gives 30, and multiplying by 3 gives 90. Calculating 18% of 500 gives 90. Summing 90 + 90 gives 180. Using exact decimal values gives (449.9 / 14.98) × 3.02 + 0.1803 × 499.9 = 90.7008 + 90.132 = 180.8328, which rounds to 181.

Explanation

Let total work be the LCM of 12, 16, and 24, which is 48 units. The combined daily work efficiency of A and B is 48 / 12 = 4 units, B and C is 48 / 16 = 3 units, and A and C is 48 / 24 = 2 units. Summing these gives 2 × (A + B + C) = 4 + 3 + 2 = 9 units, so A + B + C = 4.5 units per day. The efficiency of A alone is (A + B + C) - (B + C) = 4.5 - 3 = 1.5 units per day. The time required for A to complete the work alone is 48 / 1.5 = 32 days.

Explanation

Converting train speed to meters per second gives 72 × (5 / 18) = 20 m/s. The time taken to cross the platform alone is the difference between total crossing time and pole crossing time, which is 30 - 18 = 12 seconds. The length of the platform is speed multiplied by this time difference, giving 20 × 12 = 240 meters.

Explanation

Let the present ages of P and Q be 5x and 3x. Six years ago, their ages were 5x - 6 and 3x - 6. Setting up the equation (5x - 6) / (3x - 6) = 3 / 1 leads to 5x - 6 = 9x - 18, which simplifies to 4x = 12, giving x = 3. The present ages are P = 15 and Q = 9. After 6 years, their ages will be 21 and 15, yielding a ratio of 21 : 15 = 7 : 5.

Explanation

The total interest earned per year is 3960 / 3 = ₹1,320. Let the amount invested at 8% be x, making the amount at 10% equal to 15000 - x. Setting up the interest equation 0.08x + 0.10(15000 - x) = 1320 gives 0.08x + 1500 - 0.10x = 1320, which simplifies to -0.02x = -180. Solving for x yields x = 180 / 0.02 = ₹9,000.

Explanation

The upstream speed of the boat is 48 / 4 = 12 km/h, and the downstream speed is 60 / 3 = 20 km/h. The speed of the stream is given by half the difference between downstream and upstream speeds, which is (20 - 12) / 2 = 4 km/h.

Explanation

The net profit or loss percentage can be determined using the successive percentage change formula: Net Percentage = m - d - (m × d) / 100, where m is the percentage markup and d is the percentage discount. Substituting m = 40 and d = 15 yields Net Percentage = 40 - 15 - (40 × 15) / 100 = 25 - 6 = 19%. Alternatively, taking a base cost price of ₹100 gives a marked price of ₹140 and a selling price of ₹140 × (1 - 0.15) = ₹119, resulting in a gain of ₹19 or a 19% profit.

Explanation

The total marks scored by all 50 students equal 50 × 64 = 3200. The sum of marks obtained by the top 20 students equals 20 × 80 = 1600. Subtracting the top group total from the overall total gives the sum of marks for the remaining 30 students as 3200 - 1600 = 1600. Dividing this sum by the remaining 30 students gives an average of 1600 / 30 = 53.33.

Explanation

Capital-months: X = 20000x6 + 15000x6 = 210000; Y = 25000x12 = 300000; Z = 15000x6 + 25000x6 = 240000. Total = 750000. Y's share = (300000/750000) x 46500 = 0.4 x 46500 = 18600.

Explanation

The hourly filling rates for Pipe A and Pipe B are +1/20 and +1/30 respectively, while the emptying rate for Pipe C is -1/15. When all three pipes operate together, the net filling rate per hour is 1/20 + 1/30 - 1/15. Finding the common denominator of 60 gives (3 + 2 - 4) / 60 = 1/60 of the tank per hour. Taking the reciprocal of this net rate, the total time required to fill the tank completely is 60 hours.

Explanation

The volume of a sphere of radius R is given by the formula (4/3) × π × R³. Substituting R = 6 cm gives (4/3) × π × 6³ = 288π cm³. The volume of a cone with base radius r and height h is given by (1/3) × π × r² × h. Substituting r = 2 cm and h = 3 cm gives (1/3) × π × 2² × 3 = 4π cm³. Dividing the volume of the sphere by the volume of one cone gives 288π / 4π = 72 cones.

Explanation

Taking 2 parts of the 7:3 mixture and 3 parts of the 3:2 mixture: milk = 2(7/10) + 3(3/5) = 1.4 + 1.8 = 3.2; water = 2(3/10) + 3(2/5) = 0.6 + 1.2 = 1.8. Ratio = 3.2:1.8 = 16:9.

Explanation

A travels 60 x 2 = 120 km before meeting. After meeting, A needs 3 h to cover the distance B had already travelled, i.e. 60 x 3 = 180 km. B covered that 180 km in 2 h, so B's speed = 90 km/h.

Explanation

The bag contains 5 red, 4 blue, and 3 green balls, making a total of 12 balls. The number of non-green balls (red and blue) is 5 + 4 = 9. The total number of ways to draw 2 balls from 12 is given by 12C2 = (12 × 11) / 2 = 66. The number of ways to draw 2 non-green balls from 9 is 9C2 = (9 × 8) / 2 = 36. Thus, the probability that both drawn balls are not green is 36 / 66 = 6/11.

Explanation

The perimeter of a rectangle is 2 × (L + B) = 56 cm, which simplifies to L + B = 28 cm, or B = 28 - L. The original area is L × (28 - L) = 28L - L². When length is increased by 4 cm and breadth decreased by 2 cm, the new dimensions become (L + 4) cm and (26 - L) cm. The new area is (L + 4) × (26 - L) = 22L - L² + 104 sq cm. Given that the area decreases by 16 sq cm, (28L - L²) - (22L - L² + 104) = 16, which simplifies to 6L - 104 = 16. Solving gives 6L = 120, so L = 20 cm and B = 8 cm.

Explanation

The passage describes the debate surrounding AI and employment as far more nuanced than simple predictions of job destruction or automatic job creation. It emphasizes that while current AI technology presents unique challenges to cognitive and creative work, the outcome depends on implementing proactive policies such as lifelong learning, portable benefits, and equitable regulatory frameworks.

Explanation

Automated teller machines are cited in the text to illustrate how technological automation can lead to unexpected positive employment outcomes in related roles. By lowering the operational costs per branch, ATMs enabled banks to open significantly more branches, which ultimately increased the overall demand for human bank tellers.

Explanation

The lump of labour fallacy is defined directly in the passage as the erroneous belief that an economy contains a fixed, finite quantity of work available to be distributed. Historical technological shifts demonstrate that new industries and job categories continuously emerge, expanding the overall volume and types of work.

Explanation

Unlike previous technological waves that primarily automated physical tasks or routine cognitive procedures, modern artificial intelligence models can execute complex analytical, creative, and communicative tasks across specialized domains like legal research, medical diagnosis, financial forecasting, and artistic creation.

Explanation

The passage stresses the necessity of designing regulatory frameworks specifically to guarantee that automation gains are shared broadly throughout society. In the absence of such proactive policy measures, the economic benefits generated by AI technology will concentrate primarily within a small technological elite.

Explanation

Proliferation refers to a rapid and widespread increase in quantity or extent. In the opening sentence, the term describes how artificial intelligence technology is rapidly spreading and becoming widely adopted across modern workplaces.

Explanation

Augmentation refers to the act or process of making something greater in size, amount, degree, or severity by adding to it. In the passage, AI as an augmentation tool means it enhances worker capabilities and productivity, which makes reduction its direct contextual opposite.

Explanation

The passage explicitly calls for regulatory frameworks designed to ensure that the economic and productive gains of automation are broadly shared across the general public, directly contrasting this with the risk of gains being concentrated among a narrow technological elite.

Explanation

Sentence C serves as the opening statement by introducing the overarching topic of plastic pollution and highlighting its evolution from a known threat to marine ecosystems into a broader, alarming issue. This provides the necessary background before detailing specific marine studies, subsequent human health investigations, and government regulatory responses.

Explanation

Sentence E directly elaborates on the mention of marine ecosystems in the introductory sentence by detailing how marine life was found ingesting microplastic fragments. This finding serves as the specific discovery that subsequently prompts scientists to investigate human exposure.

Explanation

The paragraph opens with statement C, which introduces plastic pollution as a broader environmental threat. Statement E follows by detailing specific research findings on marine life ingesting plastic debris. Statement A logically succeeds E as it uses the demonstrative phrase "This discovery" to connect marine plastic ingestion to human health investigations. Statement B then presents the outcome of these human studies, statement F details potential physiological consequences, and statement D concludes with global regulatory responses.

Explanation

The sentence structure builds progressively from general environmental background to specific policy impact. Sentence C introduces the context of plastic pollution, sentence E provides marine discovery details, sentence A transitions to human organ research, sentence B reports findings in human tissues, sentence F addresses health risks such as inflammation and hormonal disruption, and sentence D provides the final global policy implications.

Explanation

A well-structured paragraph transitions from problem identification to real-world consequences and action. Sentences C, E, A, B, and F systematically lay out the progression from marine plastic pollution to human exposure and potential health risks. Statement D naturally concludes the text by describing how governments worldwide are taking regulatory measures to address these alarming health and environmental threats.

Explanation

When verbs expressing command, suggestion, requirement, or recommendation such as "recommended" are followed by a "that" clause, English grammar dictates the use of the subjunctive mood with the base form of the verb. In this sentence, the correct subjunctive form is "be revised" rather than inserting the modal auxiliary verb.

Explanation

When subjects are connected using the correlative conjunction "neither... nor", the verb must agree in number with the subject closer to it. Here, the plural noun phrase "his assistants" dictates the plural past-tense verb "were". The remaining elements—the infinitive verb "identify" and the participial adjective "recurring"—are grammatically sound and contextually appropriate.

Explanation

Statement I incorrectly uses the plural auxiliary verb "have" with the singular distributive subject "Each". Statement III incorrectly pairs the conditional auxiliary "would" with the past participle "had" instead of the base auxiliary "have". Statement II is grammatically sound because "data" functions correctly as a singular collective noun taking the singular verb "suggests" alongside the present perfect verb "has eased".

Explanation

Statement I incorrectly places the preposition "of" after "Despite", as "despite" already means "in spite of". Statement III incorrectly uses the singular verb "takes" after the relative pronoun "who", which refers to the plural antecedent "executives". Statement II is grammatically accurate because the singular subject "The proposal" correctly takes the singular verb "was submitted", unaffected by the intervening parenthetical phrase "along with its annexures".

Explanation

Statement I is incorrect because the expression "The number of" requires a singular verb, meaning "has increased" should be used instead of "have increased". Statement II correctly applies the past perfect continuous tense "had been waiting" to describe an action occurring prior to another past event. Statement III properly implements subject-auxiliary inversion following the negative limiting adverb "Scarcely".