Analytical Sets — Four Questions on One Arrangement
Key takeaways
- Solve the whole arrangement before reading any question. The grid is the work; the questions are the collection.
- Sort the clues as absolute, negative and relative. Open the grid on the absolutes, use the relatives to force blocks, and close the last ambiguity with the negatives.
- Two clues of the form "X is immediately before Y" and "Z is immediately after Y" make a three-item block. A block of three has very few places to sit, and finding where is usually the whole puzzle.
- At +4 and −1 a four-question set is sixteen marks on one piece of work, so the first minute of a set is a decision about whether to invest the next seven.
- Check the finished grid against every clue, not against the answers. A grid that satisfies all but one clue yields four wrong answers and feels exactly like a right one.
- Eight minutes for a set of four is the pace that fits the section. Past that, answer what the grid gives and leave the rest blank rather than guessing into −1.
Practice questions (8)
Attempt each one before opening the answer. Every explanation names the tempting wrong option as well as the right one, because that is where marks are lost.
Set 1. Five executives — Aarti, Bhaskar, Chetna, Dinesh and Esha — head five different departments of a company (Finance, HR, Marketing, Operations and Technology) and are posted at five different offices (Bengaluru, Chennai, Delhi, Mumbai and Pune), in some order.
- Aarti heads neither Finance nor HR.
- The head of Technology is posted at Bengaluru.
- Bhaskar heads Operations.
- Bhaskar is posted at neither Mumbai nor Delhi.
- The executive posted at Delhi heads Finance.
- Chetna is posted at Chennai.
- Esha is not posted at Bengaluru.
- Aarti is not posted at Bengaluru.
Who heads the Technology department?
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Answer: C — Dinesh
Clue 2 puts the Technology head at Bengaluru, so the question becomes "who is at Bengaluru?" and four clues answer it by elimination. Chetna is at Chennai (6), Esha is not at Bengaluru (7), Aarti is not at Bengaluru (8), and Bhaskar heads Operations (3), so he is not the Technology head whatever his city. Only Dinesh is left: he heads Technology and is posted at Bengaluru. This is the deduction the whole grid opens on — it is worth doing first, because it fixes both a department and a city in one step.Set 1. Five executives — Aarti, Bhaskar, Chetna, Dinesh and Esha — head five different departments of a company (Finance, HR, Marketing, Operations and Technology) and are posted at five different offices (Bengaluru, Chennai, Delhi, Mumbai and Pune), in some order.
- Aarti heads neither Finance nor HR.
- The head of Technology is posted at Bengaluru.
- Bhaskar heads Operations.
- Bhaskar is posted at neither Mumbai nor Delhi.
- The executive posted at Delhi heads Finance.
- Chetna is posted at Chennai.
- Esha is not posted at Bengaluru.
- Aarti is not posted at Bengaluru.
Which executive is posted at Pune?
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Answer: B — Bhaskar
Work the cities out in order. Dinesh is at Bengaluru and Chetna at Chennai. Clue 5 says the Delhi executive heads Finance; Chetna is at Chennai, so of the remaining three only Aarti, Bhaskar or Esha can be at Delhi — but Aarti heads neither Finance nor HR (1) and Bhaskar heads Operations (3), so Esha is at Delhi and heads Finance. That leaves Mumbai and Pune for Aarti and Bhaskar, and clue 4 rules Mumbai out for Bhaskar. So Bhaskar is at Pune and Aarti at Mumbai. Clue 4 mentions Delhi as well as Mumbai, which is the sort of belt-and-braces phrasing that tempts you to use it too early — Delhi was already settled by then.Set 1. Five executives — Aarti, Bhaskar, Chetna, Dinesh and Esha — head five different departments of a company (Finance, HR, Marketing, Operations and Technology) and are posted at five different offices (Bengaluru, Chennai, Delhi, Mumbai and Pune), in some order.
- Aarti heads neither Finance nor HR.
- The head of Technology is posted at Bengaluru.
- Bhaskar heads Operations.
- Bhaskar is posted at neither Mumbai nor Delhi.
- The executive posted at Delhi heads Finance.
- Chetna is posted at Chennai.
- Esha is not posted at Bengaluru.
- Aarti is not posted at Bengaluru.
Which of the following combinations is correct?
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Answer: C — Esha — Finance — Delhi
The completed grid is Aarti — Marketing — Mumbai, Bhaskar — Operations — Pune, Chetna — HR — Chennai, Dinesh — Technology — Bengaluru, Esha — Finance — Delhi. Each wrong option is wrong in exactly one element, which is how this question type is built: A gives Aarti the right city and the wrong department (clue 1 forbids HR); B gives Chetna the right city and the wrong department (Marketing is Aarti’s); D gives Dinesh the right city and the wrong department (Operations is Bhaskar’s, by clue 3). Checking one element per option and moving on is faster than verifying all three.Set 1. Five executives — Aarti, Bhaskar, Chetna, Dinesh and Esha — head five different departments of a company (Finance, HR, Marketing, Operations and Technology) and are posted at five different offices (Bengaluru, Chennai, Delhi, Mumbai and Pune), in some order.
- Aarti heads neither Finance nor HR.
- The head of Technology is posted at Bengaluru.
- Bhaskar heads Operations.
- Bhaskar is posted at neither Mumbai nor Delhi.
- The executive posted at Delhi heads Finance.
- Chetna is posted at Chennai.
- Esha is not posted at Bengaluru.
- Aarti is not posted at Bengaluru.
The head of Marketing is posted at:
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Answer: C — Mumbai
Marketing is Aarti’s: clue 1 rules out Finance and HR for her, clue 3 gives Operations to Bhaskar, and question 1 established that Technology is Dinesh’s — so Marketing is all that remains. Aarti is at Mumbai, by the elimination in question 2. Note how little of this required going back to the clues: three of the four questions in this set are answered by reading the finished grid, which is the argument for building the grid first.Set 2. A company launched six products — P, Q, R, S, T and U — one in each month from January to June, in some order.
- R was launched either in the first month or in the last month.
- U was launched in March.
- P was launched in the month immediately before Q.
- S was launched in the month immediately after Q.
Which product was launched in April?
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Answer: A — P
Clues 3 and 4 together make a block: P immediately before Q, and S immediately after Q, so P, Q and S occupy three consecutive months in that order. Clue 2 fixes U in March, so the block cannot include March — and the only run of three consecutive months among January, February, April, May and June is April–May–June. So P is in April, Q in May and S in June. Recognising the block is the whole puzzle; trying the months one at a time takes four times as long and is where the clock goes.Set 2. A company launched six products — P, Q, R, S, T and U — one in each month from January to June, in some order.
- R was launched either in the first month or in the last month.
- U was launched in March.
- P was launched in the month immediately before Q.
- S was launched in the month immediately after Q.
How many products were launched after Q?
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Answer: B — One
Q is in May, so only June follows it, and June is S — one product. The complete order is R (January), T (February), U (March), P (April), Q (May), S (June): once the April–May–June block is placed, clue 1 puts R in January because June is taken by S, and T takes the one month left. Answering "two" is the standard slip, from counting Q itself among the launches that come after it.Set 2. A company launched six products — P, Q, R, S, T and U — one in each month from January to June, in some order.
- R was launched either in the first month or in the last month.
- U was launched in March.
- P was launched in the month immediately before Q.
- S was launched in the month immediately after Q.
Which product was launched in the month immediately before U?
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Answer: D — T
U is in March, so the question asks who is in February — and that is T. Notice that T is fixed by nothing but exclusion: no clue mentions T at all. Once the P–Q–S block takes April, May and June, and clue 1 puts R in January (June being unavailable), February is the only month left and T is the only product left. Items that appear in no clue are always placed last, and a candidate who looks for a clue about T will not find one.Set 2. A company launched six products — P, Q, R, S, T and U — one in each month from January to June, in some order.
- R was launched either in the first month or in the last month.
- U was launched in March.
- P was launched in the month immediately before Q.
- S was launched in the month immediately after Q.
How many products were launched between T and Q?
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Answer: B — Two
T is in February and Q is in May, so the months strictly between them are March and April — U and P, which is two products. "Between" excludes the two named items, and the reliable way to answer is to subtract positions and drop one: Q is fifth, T is second, 5 − 2 − 1 = 2. Answering "three" comes from counting the gap in months (February to May is three steps) rather than the launches inside it, and answering "four" from including T and Q themselves.