Interpreting Data Displays - Adult Literacy Advanced

1. Which plan produces the lowest bill for the household's expected usage?
   Answer: Civic, with a final bill of $\$53$ after the conservation rebate is applied When a question asks you to compare multi-part billing plans, your job is to calculate each plan's total cost fully before comparing — fixed fees, tiered usage charges, and rebates all must be included. Start with Civic (C): $\$25$ fixed fee + ($18 \times \$2$) usage = $\$25 + \$36 = \$61$. Since 18 units doesn't exceed 20, the $\$8$ rebate applies: $\$61 - \$8 = \$53$. That's your benchmark. Now check the others. Clear (A): $\$18$ fixed + ($10 \times \$2$) + ($8 \times \$3$) = $\$18 + \$20 + \$24 = \$62$. Using exactly 18 units qualifies for the $\$6$ rebate: $\$62 - \$6 = \$56$. Choice A states $\$56$ correctly, but that's still higher than Civic's $\$53$, so A is wrong not because of a math error, but because it isn't the lowest. Flow (B): $\$10$ fixed + ($8 \times \$1.50$) + ($10 \times \$3.50$) = $\$10 + \$12 + \$35 = \$57$. No rebate available. Choice B tries to mislead you into stopping at the fixed fee — never evaluate plans by one component alone. Steady (D): $\$14$ fixed + ($15 \times \$2.40$) + ($3 \times \$4$) = $\$14 + \$36 + \$12 = \$62$. The rebate requires fewer than 18 units, and the household uses exactly 18, so no rebate applies: $\$62$, not $\$57$. Choice D misreads the rebate condition — a classic trap. The correct answer is C. Always read rebate conditions carefully (≤ vs. <) and calculate every plan completely before comparing.
2. Which route should the employee select under the agency's guidance?
   Answer: Route B, because it meets every condition and costs less than the other qualifying route When a question gives you a set of rules and asks you to apply them, work through each condition systematically before comparing costs. Here, the agency requires three things: arrive by 8:50 a.m., use no more than one transfer, and have an on-time rate of at least $90\%$. Only routes that pass all three filters are eligible — then you pick the cheapest one. Route B arrives at 8:48 a.m. (on time), uses zero transfers (within the limit), and has a $92\%$ on-time rate (above the $90\%$ threshold). It clears every hurdle. Route C also qualifies — it arrives at 8:35 a.m., uses one transfer, and has a $96\%$ on-time rate — but its fare is $\$4.00$ versus Route B's $\$3.25$. Since the guidance says to choose the least expensive qualifying route, Route B is the correct answer. Route A fails the reliability filter: its $88\%$ on-time rate falls below the required $90\%$, so it's ineligible regardless of its lower fare. Choice A ignores this disqualifying flaw. Route C does qualify, but choosing it over Route B because of the highest on-time rate misreads the rule — reliability only needs to meet the minimum threshold, not be maximized. Choice C applies the wrong priority. Route D arrives at 8:55 a.m., which is after the 8:50 a.m. cutoff, so it fails the arrival condition entirely despite its attractive $\$2.50$ fare. Choice D overlooks this timing violation. The broader strategy: on multi-condition filtering questions, eliminate disqualified options first, then rank the survivors by the stated preference. Doing it in the wrong order is the most common trap.
3. To which appointment period should the clinic assign the additional staff?
   Answer: Morning, because it qualifies under both limits and offers more slots than the other qualifying period When a question gives you multiple criteria for qualification, your first job is to act like a filter: apply every rule in order and eliminate anything that fails before moving on to the tiebreaker. Here, a period must satisfy both conditions — median wait $\leq 25$ minutes and no-show rate $< 12\%$ — before available slots even matter. Walk through each period: Morning clears both ($24$ min, $10\%$). Midday fails immediately because its no-show rate is $14\%$, which exceeds $12\%$. Afternoon fails because its median wait is $27$ minutes, above the $25$-minute ceiling. Evening qualifies ($25$ min, $11\%$), but it has only $16$ available slots versus Morning's $18$. Among the two qualifying periods, Morning wins on the tiebreaker. Answer A is correct. Answer B is tempting because Midday has the shortest wait and most slots, but it never qualified — a $14\%$ no-show rate disqualifies it outright, and "most slots" is irrelevant for a period that doesn't meet the rules. Answer C makes a similar error: Afternoon has an impressive no-show rate, but a $27$-minute median wait violates the first condition, so it's out of contention regardless of its slot count. Answer D is partially right — Evening does satisfy both limits — but it stops there without comparing available slots to Morning's, missing the final selection step. The key strategy: multi-criteria problems require you to apply all filters before comparing the remaining options. Don't let a strong performance in one category distract you from a disqualifying failure in another.
4. Which vendor should the manufacturer hire?
   Answer: Delta, because it satisfies both completion requirements and has the highest score among qualifying vendors When a question gives you a multi-step selection process, work through each requirement in order before considering tiebreakers. Here, vendors must clear two hurdles — an $85\%$ completion rate AND at least $42$ completions — before satisfaction scores even matter. Check each vendor's completion percentage: Apex: $42 \div 48 \approx 87.5\%$ ✓; Bridge: $45 \div 55 \approx 81.8\%$ ✗; Cedar: $40 \div 46 \approx 87\%$ ✓; Delta: $43 \div 50 = 86\%$ ✓. Bridge fails the percentage threshold immediately. Now check the minimum completions: Apex has 42 ✓, Cedar has 40 ✗, Delta has 43 ✓. Cedar is eliminated because 40 falls short of the required 42. That leaves only Apex and Delta qualifying. Between them, Delta's satisfaction score of $4.4$ beats Apex's $4.1$, so Delta is the correct choice (D). Choice A is tempting because Apex does satisfy both requirements, but it ignores that Delta also qualifies and has a higher satisfaction score — the passage says the highest satisfaction score wins among qualifiers. Choice B fails because Bridge never cleared the $81.8\%$ completion rate, and cost is only a tiebreaker anyway, not a primary criterion. Choice C falls apart because Cedar's 40 completions don't meet the 42-completion minimum, regardless of its decent satisfaction score. The key strategy here: eliminate before you rank. On multi-criteria questions, disqualify candidates who fail any hard requirement before comparing the remaining ones on preference criteria like satisfaction or cost.
5. Which branch should receive the recognition?
   Answer: West, because it meets the participation threshold and earns the highest favorable rate among qualifying branches Questions like this one test your ability to apply multi-step filtering rules before performing calculations — a critical skill on advanced literacy exams. Always handle the eligibility condition first, then calculate rates only for qualifying branches. The participation threshold requires that at least $75\%$ of all invited (employees + clients combined) must have responded. Check each branch: - East: $80$ responses from $120$ invited = $66.7\%$ ✗ - West: $84$ responses from $110$ invited = $76.4\%$ ✓ - North: $88$ responses from $120$ invited = $73.3\%$ ✗ - South: $75$ responses from $100$ invited = $75.0\%$ ✓ Only West and South qualify. Now calculate their combined favorable-response rates (total favorable ÷ total responses): - West: $\frac{40+24}{50+34} = \frac{64}{84} \approx 76.2\%$ - South: $\frac{32+23}{45+30} = \frac{55}{75} \approx 73.3\%$ West has the higher rate among qualifying branches, making B the correct answer. Choice A fails because East doesn't meet the participation threshold — its rate is irrelevant regardless of how favorable it looks. Choice C is wrong because North only achieves $73.3\%$ participation, falling short of the $75\%$ minimum. Choice D is a trap: South does qualify, but its favorable rate is lower than West's, so "meeting the minimum" alone doesn't earn recognition. Strategy tip: When a question has eligibility rules and ranking rules, always eliminate ineligible options first — calculating rates for disqualified branches wastes time and invites errors.
6. Which workshop meets all of the resident's stated needs?
   Answer: The Tuesday workshop, because its time, interpretation service, and return transportation all qualify Questions like this test your ability to apply multiple simultaneous conditions to a data set — a critical real-world skill. Before selecting any answer, list every requirement: weekday only, start time at or after 5:30 p.m., Spanish interpretation available, and the last bus must depart at least 15 minutes after the workshop ends. Work through each option systematically. The Tuesday workshop (Choice A) starts at 5:30 p.m. ✓, is a weekday ✓, offers Spanish interpretation ✓, and ends at 7:00 p.m. The last bus departs at 7:30 p.m., giving exactly $30$ minutes of buffer — well above the required $15$ minutes ✓. Every condition is satisfied, making A correct. Choice B fails on transportation. The Monday workshop ends at 8:00 p.m., but the last bus departs at 8:05 p.m. — only $5$ minutes after the session ends, which falls short of the required $15$-minute minimum. The workshop sounds appealing, but this detail disqualifies it. Choice C fails on interpretation. The Thursday workshop has no Spanish interpretation available, which immediately eliminates it regardless of how convenient the bus schedule is. Choice D fails on the weekday requirement. Saturday is not a weekday, so this option is disqualified from the start — the resident's availability constraint rules it out entirely. The key strategy here is to check every condition before choosing, not just the ones featured in the answer choice's explanation. Wrong answers are often written to highlight the conditions they do meet while quietly omitting the one they fail. When you see multi-condition filtering questions, make a quick checklist and run each option all the way through it.
7. Which revised process satisfies all three adoption requirements?
   Answer: Process B, because its productivity gain, defect rate, and pilot size all satisfy the adoption standards When a question gives you multiple criteria that must all be met, your job is to check every condition for every option — not stop at the first one that looks promising. Here, three gates must be cleared: pilot output per hour must be at least 8% above baseline, the pilot defect rate must not exceed the baseline defect rate, and at least 500 units must have been produced. Process B clears all three. Its baseline is $12$ units/hour, so the 8% threshold is $12 \times 1.08 = 12.96$ units/hour. The pilot rate is $600 \div 46 \approx 13.04$ units/hour — just above the threshold. Its pilot defect rate is $18 \div 600 = 3\%$, which matches (and does not exceed) the baseline defect rate of $3\%$. And $600$ units clears the 500-unit minimum. All three conditions satisfied — B is the answer. Choice A fails because Process A's pilot rate is $540 \div 50 = 10.8$ units/hour, but the 8% threshold requires $10 \times 1.08 = 10.8$ — that's exactly at the minimum, which technically qualifies — however, the defect rate is $11 \div 540 \approx 2.04\%$, which exceeds the $2\%$ baseline. It fails the defect condition. Choice C fails immediately on pilot size: only 480 units were produced, falling short of the 500-unit requirement. Choice D's defect rate is $8 \div 620 \approx 1.29\%$, which is below baseline — good. But its pilot rate is $620 \div 39 \approx 15.9$ units/hour against a threshold of $15 \times 1.08 = 16.2$. It falls short on productivity. Your strategy: in multi-criteria questions, build a quick checklist and verify every condition for every process. Eliminate options the moment one criterion fails — don't let a strong result in one area distract you from a failure in another.
8. Which items should the warehouse reorder?
   Answer: Beta and Gamma, because each falls below lead-time demand plus one week of safety stock When a question gives you a reorder rule, your job is to apply it mechanically to every item — not to eyeball the numbers or rely on intuition. The rule here has two parts: calculate each item's reorder point (lead-time weeks × weekly use + one safety-stock week × weekly use), then compare it to projected available inventory (current + incoming). Working through each item: - Alpha: Reorder point = $(3+1) \times 25 = 100$. Projected inventory = $90 + 20 = 110$. No reorder needed. - Beta: Reorder point = $(3+1) \times 18 = 72$. Projected inventory = $60 + 10 = 70$. Below threshold — reorder. - Gamma: Reorder point = $(4+1) \times 22 = 110$. Projected inventory = $100 + 0 = 100$. Below threshold — reorder. - Delta: Reorder point = $(2+1) \times 20 = 60$. Projected inventory = $45 + 30 = 75$. No reorder needed. That confirms D — Beta and Gamma both fall below lead-time demand plus one safety-stock week. Choice A is wrong because Alpha's projected inventory (110) actually meets its threshold exactly. Choice B fails because the rule never compares usage to current stock alone — it uses projected inventory against the full reorder point. Choice C sounds reasonable but is wrong because it ignores incoming stock; Delta's incoming shipment of 30 pushes its projected inventory safely above its threshold. Your strategy: whenever a problem gives you an explicit formula, write it out and calculate every case. Traps like A, B, and C are designed to tempt you into shortcuts.
9. From which programs may the department transfer money under the policy?
   Answer: Outreach and Training, because both exceed the underspending threshold and neither is protected When a question gives you a multi-part policy, slow down and apply every condition before marking a program eligible. Here, two separate tests must both be satisfied: (1) the year-end forecast must fall more than 10% below budget, and (2) the program must not have reached 90% of its service target. Start by calculating each program's forecast spending (Q3 spending + Q4 forecast) and comparing it to budget. Outreach: $78 + 24 = 102$, leaving $120 - 102 = 18$ unspent, which is $18/120 = 15\%$ — exceeds the 10% threshold. Training: $61 + 18 = 79$, leaving $90 - 79 = 11$ unspent, which is $11/90 \approx 12.2\%$ — also exceeds the threshold. Repairs: $150 + 25 = 175$, leaving $200 - 175 = 25$ unspent, or $12.5\%$ — clears the threshold too. Technology: $118 + 20 = 138$, leaving $150 - 138 = 12$ unspent, or $8\%$ — does not meet the threshold. Now apply the protection rule. Repairs is protected because it has hit $92\%$ of its target (≥ 90%). Outreach ($88\%$) and Training ($87\%$) are not protected. That leaves Outreach and Training as the only eligible programs — confirming answer C. Answer A fails because Repairs qualifies financially but is protected by its service achievement. Answer B vaguely names Repairs and Training without properly applying the protection rule to Repairs. Answer D correctly identifies programs below 90% target but ignores Technology's underspending shortfall (only 8%). Strategy tip: With policy questions, build a checklist from the passage and verify every condition for every option — one missed rule is all it takes to fall for a distractor.
10. Which facility meets both recognition requirements?
    Answer: Library, because its percentage reduction exceeds twenty percent and its dollar savings exceed ten thousand dollars When a question gives you two conditions that must both be satisfied, your job is to test each facility against each requirement separately — and only select a choice where both boxes are checked. The two requirements here are: (1) energy reduction ≥ 20% of baseline, and (2) dollar savings > $10,000. For the percentage, the passage reminds you to divide by the baseline, not current use. The Library's reduction is $300 - 235 = 65$ MWh. Dividing by its baseline: $\frac{65}{300} \approx 21.7\%$, which clears the 20% threshold. Its documented savings are $11,000, which exceeds $10,000. Both conditions are met — C is correct. Now let's see why the others fall short. A is tempting because Administration reduced usage by $\frac{110}{500} = 22\%$, which does exceed 20%. However, its savings are only $9,000 — below the $10,000 threshold. One condition passes; the other fails. B focuses on the Depot's impressive $14,000 in savings and its 150 MWh numerical drop, but $\frac{150}{800} = 18.75\%$ — just under the required 20%. The question is about meeting criteria, not ranking facilities by performance. Being the "biggest" in one category doesn't override a failed requirement. D is a trap built on rounding. The Community Center's reduction is $\frac{90}{450} = 20\%$ exactly, which technically meets threshold one. But its savings are exactly $10,000 — and the rule requires savings of more than $10,000. Equal is not greater. Your strategy: when a question lists multiple criteria, treat it like a checklist. Eliminate any choice that fails even one condition, regardless of how strong it looks on the others.

Start this quiz