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Question 1

Which date is earliest?
  • ☐ A. January 2, 2019
  • ☐ B. November 8, 2017
  • ☐ C. February 3, 2018
  • ☐ D. December 1, 2017
  • ☐ E. November 18, 2017
Show answer and explanation

Response: B

Final answer: November 8, 2017
Begin with the year. Both 2018 and 2019 fall after the three dates in 2017, leaving November 8, November 18 and December 1 to compare within the earliest year. November 8 wins. November comes before December, and its eighth day comes before its eighteenth, making November 8, 2017 the earliest date.

Question 2

Which word is closest in meaning to FRUGAL?
  • ☐ A. Fragile
  • ☐ B. Friendly
  • ☐ C. Forgetful
  • ☐ D. Fearful
  • ☐ E. Thrifty
Show answer and explanation

Response: E

Final answer: Thrifty
Frugal describes careful, economical spending, so someone who avoids unnecessary purchases could be described as either frugal or thrifty. Choose Thrifty. Fragile concerns how easily something breaks, and the remaining words describe friendliness, memory or fear rather than a person's use of money.

Question 3

What comes next? 6,10,14,18,…
  • ☐ A. 22
  • ☐ B. 20
  • ☐ C. 26
  • ☐ D. 28
  • ☐ E. 24
Show answer and explanation

Response: A

Final answer: 22
Subtract neighboring terms to find the change. Each difference is 4. Continuing that same addition after 18 gives 18+4=22, which fits all three earlier transitions in the sequence.

Question 4

Which labeled figure has exactly five straight sides? ABCDE
  • ☐ A. A
  • ☐ B. B
  • ☐ C. C
  • ☐ D. E
  • ☐ E. D
Show answer and explanation

Response: C

Final answer: C
Trace figure C's closed boundary from any corner, counting each straight segment once until you return to the starting point. You count five sides. Figure A is a triangle, B has four sides, D has six, and the curved circle E contributes no straight sides.

Question 5

Which entry matches Monarch Supply exactly?
  • ☐ A. Monarch Supply
  • ☐ B. Monarch Suplly
  • ☐ C. Monrach Supply
  • ☐ D. Monarch Supplies
  • ☐ E. Monarch Suply
Show answer and explanation

Response: A

Final answer: Monarch Supply
Read the letters in order. The first option reproduces Monarch Supply exactly, including the second p in Supply and the sequence a-r-c-h in Monarch, which several alternatives alter through a missing or misplaced letter. Supply is singular. The choice that replaces it with Supplies therefore changes the word even though the company name is otherwise spelled correctly.

Question 6

Four identical packs cost $12. What do seven packs cost?
  • ☐ A. $21
  • ☐ B. $84
  • ☐ C. $19
  • ☐ D. $28
  • ☐ E. $24
Show answer and explanation

Response: A

Final answer: $21
The four packs are identical, so dividing their total price by four gives the cost of one pack, $12÷4=$3. Now price seven packs. Multiplying that unit cost by seven gives $21, and checking four packs at the same rate returns the original $12.

Question 7

GLOVE is to HAND as SHOE is to which word?
  • ☐ A. Lace
  • ☐ B. Leather
  • ☐ C. Walk
  • ☐ D. Foot
  • ☐ E. Sock
Show answer and explanation

Response: D

Final answer: Foot
A glove is worn over a hand, and the matching relationship requires the body part over which a shoe is worn. That part is the foot. Lace and leather concern a shoe's construction, while walking is an action and a sock is another item of clothing.

Question 8

Every blue tag is recyclable. Tag K is blue. Which statement must be true?
  • ☐ A. Tag K is recyclable.
  • ☐ B. Every recyclable tag is blue.
  • ☐ C. Every tag is recyclable.
  • ☐ D. Tag K is larger than other tags.
  • ☐ E. Tag K is the only blue tag.
Show answer and explanation

Response: A

Final answer: Tag K is recyclable.
The rule includes K. Every blue tag is recyclable, and the second statement identifies K as one of those blue tags, which puts it inside the recyclable group. Nothing establishes its size, uniqueness, or the colors of tags outside that group.

Question 9

Which word is the opposite of SCARCE?
  • ☐ A. Ordinary
  • ☐ B. Costly
  • ☐ C. Hidden
  • ☐ D. Plentiful
  • ☐ E. Brief
Show answer and explanation

Response: D

Final answer: Plentiful
Scarce describes something available in limited amounts, and the requested opposite should therefore describe an abundant supply. Plentiful does that. An item could be ordinary, costly, hidden or brief without any of those descriptions saying how plentiful it is.

Question 10

Which team completed the most orders? Orders0246810NorthEastSouthWest
  • ☐ A. North
  • ☐ B. West
  • ☐ C. East
  • ☐ D. South
  • ☐ E. Two teams tied
Show answer and explanation

Response: B

Final answer: West
West reaches 9 orders. Compare that bar with East at 8, North at 6 and South at 5, using the numbered vertical scale rather than the positions of the team names. West has the largest count, and the four different heights also rule out a tie.

Question 11

Which word comes first in alphabetical order?
  • ☐ A. Pattern
  • ☐ B. Parallel
  • ☐ C. Parcel
  • ☐ D. Partner
  • ☐ E. Passage
Show answer and explanation

Response: B

Final answer: Parallel
All five words begin Pa, so move along their letters until the alphabetical order separates them. Compare the third letters. The r in Parallel, Parcel and Partner comes before s in Passage and t in Pattern, and Parallel then wins that smaller group because its fourth letter a precedes c and t.

Question 12

What is one quarter of 36?
  • ☐ A. 6
  • ☐ B. 12
  • ☐ C. 18
  • ☐ D. 9
  • ☐ E. 8
Show answer and explanation

Response: D

Final answer: 9
A quarter is one of four equal shares, so divide the whole quantity by four to find the size of one share. The result is 9. As a check, four groups of nine rebuild the original 36, whereas two groups of eighteen would describe halves.

Question 13

A parcel is marked URGENT only when it is due today. Parcel M is marked URGENT. What follows?
  • ☐ A. Every parcel due today is urgent.
  • ☐ B. Parcel M has already been delivered.
  • ☐ C. Parcel M will arrive before noon.
  • ☐ D. Only one parcel is due today.
  • ☐ E. Parcel M is due today.
Show answer and explanation

Response: E

Final answer: Parcel M is due today.
Read the marking rule carefully. An URGENT label is permitted only for a parcel due today, so M's label establishes that it satisfies the necessary condition, while providing no promise of delivery before noon. M is due today. The reversed statement in option A would require every parcel due today to receive that label, which the original rule does not say.

Question 14

A supervisor asks for a concise report. What kind of report does the supervisor want?
  • ☐ A. Written in pencil
  • ☐ B. Organized by date only
  • ☐ C. Submitted next month
  • ☐ D. Brief and to the point
  • ☐ E. Filled with technical terms
Show answer and explanation

Response: D

Final answer: Brief and to the point
A concise report communicates its point in a small number of words, making Brief and to the point the matching description. Length is the issue. Writing in pencil, using technical terms, filing by date or meeting a particular deadline does not establish that a report is concise.

Question 15

Which symbol continues the sequence? △,◻,∘,△,◻,∘,△,…
  • ☐ A. △
  • ☐ B. ◻
  • ☐ C. ∘
  • ☐ D. ⋄
  • ☐ E. ⋆
Show answer and explanation

Response: B

Final answer: ◻
Group the symbols in threes. Each complete block reads triangle, square, circle, and the final triangle begins a new copy of that same block, placing a square in the next position. Choose the square. That symbol completes the repeated triangle-to-square transition already shown twice earlier in the sequence.

Question 16

A delivery leaves at 9:40 a.m. and arrives 50 minutes later. When does it arrive?
  • ☐ A. 10:50 a.m.
  • ☐ B. 11:00 a.m.
  • ☐ C. 10:40 a.m.
  • ☐ D. 10:30 a.m.
  • ☐ E. 10:20 a.m.
Show answer and explanation

Response: D

Final answer: 10:30 a.m.
From 9:40, the first 20 minutes reach 10:00, leaving 50−20=30 minutes still to add to the clock. Arrival is at 10:30. Checking the two intervals gives 20+30=50 minutes, including the change into the next hour.

Question 17

CHAPTER is to BOOK as SCENE is to which word?
  • ☐ A. Play
  • ☐ B. Actor
  • ☐ C. Audience
  • ☐ D. Ticket
  • ☐ E. Curtain
Show answer and explanation

Response: A

Final answer: Play
A chapter forms part of a book, so the second pair needs the larger work that contains a scene. Choose a play. An actor participates in the scene, and a curtain, ticket or audience relates to its performance, but none is the whole work divided into scenes.

Question 18

Nora arrived before Omar. Pia arrived after Omar. Rui arrived before Nora. Who arrived second?
  • ☐ A. Pia
  • ☐ B. Cannot be determined
  • ☐ C. Rui
  • ☐ D. Nora
  • ☐ E. Omar
Show answer and explanation

Response: D

Final answer: Nora
Start with Nora before Omar and place Pia after Omar, giving Nora, Omar, Pia in that order. Rui must precede Nora. Inserting Rui at the front produces Rui, Nora, Omar, Pia, so Nora occupies the second position and no alternative order satisfies all three conditions.

Question 19

Which number is smallest?
  • ☐ A. 0.408
  • ☐ B. 0.48
  • ☐ C. 0.048
  • ☐ D. 0.084
  • ☐ E. 0.804
Show answer and explanation

Response: C

Final answer: 0.048
Align the decimal places. Writing the choices in thousandths gives 408, 480, 48, 84 and 804 thousandths, and comparing those quantities selects the 48 thousandths represented by 0.048. Keep its leading zero. The 4 in that number occupies the hundredths place, whereas the 4 in 0.408 occupies the tenths place and represents a larger quantity.

Question 20

The committee deferred its decision until Friday. What did the committee do?
  • ☐ A. Made the decision unanimously
  • ☐ B. Delegated the decision to a court
  • ☐ C. Postponed the decision
  • ☐ D. Rejected every proposal
  • ☐ E. Announced the decision
Show answer and explanation

Response: C

Final answer: Postponed the decision
The committee moves its decision to Friday, which gives a later time for something that has not yet been decided. Deferred means postponed. The sentence says nothing about a unanimous vote or handing the decision to a court, and postponement is also different from rejecting every proposal.

Question 21

The arrow below is rotated 90 degrees clockwise. Which direction will it point?
  • ☐ A. Up
  • ☐ B. Up and left
  • ☐ C. Right
  • ☐ D. Left
  • ☐ E. Down
Show answer and explanation

Response: C

Final answer: Right
Follow the arrowhead as the upward arrow turns a quarter of a full rotation in the clockwise direction. It ends pointing right. Down would require a half-turn, and left would be a quarter-turn in the opposite direction.

Question 22

A $60 item is discounted by 25%. What is its sale price?
  • ☐ A. $45
  • ☐ B. $15
  • ☐ C. $50
  • ☐ D. $75
  • ☐ E. $35
Show answer and explanation

Response: A

Final answer: $45
Find the reduction first. Since 25 percent is one quarter, the discount is 60÷4=15 dollars, which must be subtracted from the original price to determine what the customer pays. The sale price is $60−$15=$45, with $15 accounting for the amount saved.

Question 23

All cedar crates are labeled. No labeled crate is empty. Which statement must be true?
  • ☐ A. All nonempty crates are cedar.
  • ☐ B. Some cedar crates are empty.
  • ☐ C. All labeled crates are cedar.
  • ☐ D. No cedar crate is empty.
  • ☐ E. All empty crates are labeled.
Show answer and explanation

Response: D

Final answer: No cedar crate is empty.
Follow the crate through both rules, beginning with its cedar classification, which requires a label, and then applying the exclusion of empty crates from the labeled group. It cannot be empty. That conclusion applies to every cedar crate without requiring the converse claim that all nonempty crates are cedar.

Question 24

Which word is the opposite of IMPARTIAL?
  • ☐ A. Biased
  • ☐ B. Patient
  • ☐ C. Neutral
  • ☐ D. Careful
  • ☐ E. Honest
Show answer and explanation

Response: A

Final answer: Biased
Impartial judgment treats the sides without a preference that favors one over another, so a description of favoritism supplies its opposite. Biased is the matching word. Neutral would preserve the original meaning, while patience, care and honesty concern other aspects of a person's judgment.

Question 25

The circles show employees who speak French or Spanish. How many speak French, including those who speak both? 457FrenchSpanish
  • ☐ A. 12
  • ☐ B. 7
  • ☐ C. 9
  • ☐ D. 4
  • ☐ E. 5
Show answer and explanation

Response: C

Final answer: 9
Use the whole French circle. Its French-only region has 4 employees, and the overlap adds 5 employees who speak French as well as Spanish, giving 4+5=9 French speakers altogether. The 7 in the Spanish-only region lies outside the French circle and is not counted.

Question 26

A supplier charges $7 per order plus $3 per item. An order costs $31. How many items are in it?
  • ☐ A. 24
  • ☐ B. 7
  • ☐ C. 10
  • ☐ D. 8
  • ☐ E. 12
Show answer and explanation

Response: D

Final answer: 8
An order pays the $7 fixed charge once, so remove that charge from $31 to leave 31−7=24 dollars attributable to the items. Divide by three next. The item count is 24÷3=8, and 7+3(8)=31 checks the complete bill.

Question 27

Which sentence has the same meaning as ``The office opens no earlier than 8 a.m.''?
  • ☐ A. The office cannot open after 8 a.m.
  • ☐ B. The office must open exactly at 8 a.m.
  • ☐ C. The office cannot open before 8 a.m.
  • ☐ D. The office always opens before 8 a.m.
  • ☐ E. The office closes at 8 a.m.
Show answer and explanation

Response: C

Final answer: The office cannot open before 8 a.m.
The time is bounded below. No earlier than 8 allows an opening at 8 or afterward, while excluding every time before 8, which is exactly what the third option says. Requiring an opening precisely at 8 would add a restriction that the original sentence does not contain.

Question 28

A signed file goes to tray A. An unsigned file goes to tray B. File R is in tray B, and the rule was followed. What must be true?
  • ☐ A. File R is not signed.
  • ☐ B. Tray A is empty.
  • ☐ C. File R was read twice.
  • ☐ D. Every file in tray B is late.
  • ☐ E. File R is signed.
Show answer and explanation

Response: A

Final answer: File R is not signed.
Tray B holds unsigned files. Since the stated rule was followed for R, its placement in B identifies it as unsigned, while a signed R would have belonged in A. No information about lateness, repeated reading or the number of files in either tray follows from the routing rule.

Question 29

What comes next? 3,6,12,24,…
  • ☐ A. 72
  • ☐ B. 48
  • ☐ C. 30
  • ☐ D. 36
  • ☐ E. 42
Show answer and explanation

Response: B

Final answer: 48
Each number is twice the previous one, as 3×2=6, 6×2=12 and 12×2=24 demonstrate across the given transitions. Double 24 next. The result is 48, continuing the same multiplier without introducing a new change at the final step.

Question 30

FIRE is to ASHES as FREEZING is to which word?
  • ☐ A. Smoke
  • ☐ B. Ice
  • ☐ C. Rain
  • ☐ D. Heat
  • ☐ E. Steam
Show answer and explanation

Response: B

Final answer: Ice
Connect each process to its result. Fire can leave ashes, and freezing water produces ice, giving the same process-to-product relationship for both pairs. Smoke belongs with fire, while heat and steam concern different processes and rain is not the product of freezing.

Question 31

Which option gives the shape after reflection across the dashed vertical line? The marked dot must reflect with it.
  • ☐ A.
  • ☐ B.
  • ☐ C.
  • ☐ D.
  • ☐ E.
Show answer and explanation

Response: E

Final answer:
A reflection across a vertical line preserves height while exchanging left and right, so the upright appears at the right and the bottom arm extends left from it. Track the dot too. It remains on the free end of that bottom arm, now at the left tip, which is the complete shape shown in option E.

Question 32

Four boxes have an average mass of 6 kg. Three boxes weigh 4 kg, 5 kg and 7 kg. What does the fourth weigh?
  • ☐ A. 10 kg
  • ☐ B. 6 kg
  • ☐ C. 8 kg
  • ☐ D. 7 kg
  • ☐ E. 9 kg
Show answer and explanation

Response: C

Final answer: 8 kg
Recover the total mass. Four boxes averaging 6 kg must together weigh 4×6=24 kg, with the three specified boxes accounting for 4+5+7=16 kg of the required total. Eight kilograms remain. Assigning that mass to the fourth box restores a total of 24 kg and therefore the stated average of 6 kg.

Question 33

Which pair has the same relationship as thermometer:temperature?
  • ☐ A. Scale:weight
  • ☐ B. Clock:calendar
  • ☐ C. Cup:water
  • ☐ D. Map:compass
  • ☐ E. Book:paper
Show answer and explanation

Response: A

Final answer: Scale:weight
A thermometer measures temperature, so the matching pair must name an instrument followed by the quantity that instrument measures. A scale measures weight. A cup holds water and a book contains paper, relationships that do not match measurement, while the other pairs combine separate devices.

Question 34

Some technicians are artists. All artists are observant. Which statement must be true?
  • ☐ A. All observant people are technicians.
  • ☐ B. All technicians are artists.
  • ☐ C. No technician is observant.
  • ☐ D. Some artists are not observant.
  • ☐ E. Some technicians are observant.
Show answer and explanation

Response: E

Final answer: Some technicians are observant.
Follow the technicians identified as artists. At least some technicians belong to that artist group, and the rule assigning every artist to the observant group therefore places those same technicians among observant people. This proves some technicians are observant without establishing the claim for technicians outside the artist group.

Question 35

In ``The supplier will honor the quoted price,'' what does honor mean?
  • ☐ A. Increase
  • ☐ B. Question
  • ☐ C. Admire
  • ☐ D. Decorate
  • ☐ E. Abide by
Show answer and explanation

Response: E

Final answer: Abide by
Here the supplier has made a price commitment, and honoring it means continuing to sell at the quoted price. Abide by fits that promise. Admiration and decoration are other uses of honor, but neither describes fulfilling the particular agreement in this sentence.

Question 36

What comes next? 5,9,8,16,11,23,…
  • ☐ A. 18
  • ☐ B. 16
  • ☐ C. 30
  • ☐ D. 14
  • ☐ E. 26
Show answer and explanation

Response: D

Final answer: 14
The first, third and fifth terms are 5,8,11, adding 3 each time, while the second, fourth and sixth are 9,16,23, adding 7 each time. Separate those alternating streams. Position seven belongs to the first stream, whose next term is 11+3=14, rather than the 30 that would come next in the other stream.

Question 37

Start at S facing west. Move two squares forward. Turn 90 degrees clockwise and move two squares forward. Turn 180 degrees and move one square backward. Where do you finish? NorthSABCDE
  • ☐ A. B
  • ☐ B. C
  • ☐ C. A
  • ☐ D. E
  • ☐ E. D
Show answer and explanation

Response: A

Final answer: B
Keep track of facing as well as position, because turning changes the direction used by the next instruction without itself moving you to another square. Start at (3,1). Moving west twice reaches (1,1), and the clockwise turn faces north for the next two squares to (1,3). The final turn faces south. One backward square therefore moves north to (1,4), labeled B, which is offered by option A.

Question 38

A review says, "The plan is neither impractical nor certain to succeed." Which description preserves both judgments?
  • ☐ A. It cannot be carried out, although success is assured.
  • ☐ B. It has already been carried out successfully.
  • ☐ C. It can be carried out, and success is assured.
  • ☐ D. It cannot be carried out, and success is uncertain.
  • ☐ E. It can be carried out, but success is not assured.
Show answer and explanation

Response: E

Final answer: It can be carried out, but success is not assured.
Neither impractical rejects the claim that the plan cannot reasonably be carried out, and nor certain to succeed rejects a guarantee that carrying it out will succeed. Preserve both qualifications. Together those judgments describe a feasible plan with uncertain success, as option E states, without asserting that anyone has already tried it.

Question 39

J, K, L and M have one interview each, Monday through Thursday. J is before K, and K is before L. M is neither Monday nor Thursday. Who is interviewed Thursday?
  • ☐ A. L
  • ☐ B. K
  • ☐ C. J
  • ☐ D. M
  • ☐ E. Cannot be determined
Show answer and explanation

Response: A

Final answer: L
The chain J before K before L prevents J or K from occupying Thursday, because each needs at least one interview later in the week. M is also excluded. L must therefore hold Thursday, whether the middle days place M before K or after K.

Question 40

A cyclist travels 20 km in 40 minutes, then 30 km in 20 minutes. What is the average speed for the whole trip?
  • ☐ A. 40 km/h
  • ☐ B. 50 km/h
  • ☐ C. 45 km/h
  • ☐ D. 60 km/h
  • ☐ E. 70 km/h
Show answer and explanation

Response: B

Final answer: 50 km/h
Add the whole journey first. The cyclist covers 20+30=50 km over 40+20=60 minutes, and that full hour gives an average speed of 50÷1=50 km/h. The two legs last unequal amounts of time, so averaging their separate speeds of 30 and 90 km/h would incorrectly give them equal weight.

Question 41

"Every parcel except the damaged ones was accepted." Which statement must be true?
  • ☐ A. No undamaged parcel was rejected.
  • ☐ B. Every rejected parcel was undamaged.
  • ☐ C. Every parcel was accepted.
  • ☐ D. Some damaged parcel was accepted.
  • ☐ E. At least one undamaged parcel existed.
Show answer and explanation

Response: A

Final answer: No undamaged parcel was rejected.
Focus on the undamaged parcels. The sentence says each was accepted, which means that an undamaged parcel cannot be among the rejected parcels, giving the statement in option A. It does not establish that any undamaged parcel existed, so the extra existence claim in option E is unsupported.

Question 42

A card has a letter on one side and a number on the other. The visible faces are A, B, 4 and 7. Which cards must be turned over to test the rule "If a card has A, its number is even"?
  • ☐ A. A and 4
  • ☐ B. B and 4
  • ☐ C. B and 7
  • ☐ D. All four
  • ☐ E. A and 7
Show answer and explanation

Response: E

Final answer: A and 7
Look for a violation. A card with A must have an even number behind it, so turn A to check its number and 7 to check whether its other face is A. B is unrestricted by the rule. The card showing 4 already has an even number, which satisfies the condition if its other face is A and creates no violation if that face is another letter.

Question 43

All violins in a collection are string instruments. Some string instruments in the collection are antique. Which further claim is justified?
  • ☐ A. Every antique instrument is a violin.
  • ☐ B. The antique instruments need not include a violin.
  • ☐ C. No violin can be antique.
  • ☐ D. Some violin must be antique.
  • ☐ E. All string instruments must be antique.
Show answer and explanation

Response: B

Final answer: The antique instruments need not include a violin.
Imagine the antique string instruments are all cellos, with the violins belonging to the same larger string group but none of them being antique. That arrangement satisfies both statements. Another valid arrangement could include antique violins, so no forced overlap is established, and option B correctly allows the antique group to exclude violins.

Question 44

The diagram is a net of a cube. Which numbered face is opposite face 2 after folding? 123456
  • ☐ A. 4
  • ☐ B. 3
  • ☐ C. 6
  • ☐ D. 5
  • ☐ E. 1
Show answer and explanation

Response: A

Final answer: 4
Fold the horizontal strip into the four side walls, following the sequence of faces around the cube rather than treating their spacing on the flat page as distance on the solid. Face 4 faces face 2. Faces 1 and 3 sit beside face 2, and the attached faces 5 and 6 become the remaining opposite pair at the top and bottom.

Question 45

There are 88 people in three nonoverlapping groups: children, non-senior adults, and seniors. The ratio of non-senior adults to children is 3:2, and children to seniors is 4:1. How many are children?
  • ☐ A. 48
  • ☐ B. 24
  • ☐ C. 16
  • ☐ D. 32
  • ☐ E. 40
Show answer and explanation

Response: D

Final answer: 32
Use the same child amount in both ratios, enlarging adults to children from 3:2 to 6:4 so it matches children to seniors at 4:1. There are eleven parts altogether. Each part represents 88÷11=8 people, and children take four of those parts, giving 4×8=32 children among the three nonoverlapping groups.

Question 46

An investigator describes an account as "plausible but uncorroborated." What does this mean?
  • ☐ A. It is fully verified although difficult to believe.
  • ☐ B. It is true because the speaker repeated it consistently.
  • ☐ C. It could be true but lacks independent supporting evidence.
  • ☐ D. It is impossible because independent evidence confirms it.
  • ☐ E. It is proven false by several independent sources.
Show answer and explanation

Response: C

Final answer: It could be true but lacks independent supporting evidence.
Plausible means the account could reasonably be true, while uncorroborated means that independent evidence has not supported it. Keep both descriptions. Option C retains possibility without claiming verification, whereas repetition by the speaker alone would not provide the independent supporting evidence the account lacks.

Question 47

A manager claims, "Every late order was from East or West. Every late order from West was unpaid." Which finding disproves the claim?
  • ☐ A. An unpaid on-time order from North
  • ☐ B. An unpaid late order from West
  • ☐ C. A paid on-time order from West
  • ☐ D. A paid late order from West
  • ☐ E. An unpaid late order from East
Show answer and explanation

Response: D

Final answer: A paid late order from West
Test the West condition. A paid late order from West is a direct counterexample to the manager's statement that every late West order was unpaid, even though its origin still meets the East-or-West condition. Orders arriving on time are outside the claim, and the unpaid late orders listed would remain consistent with it.

Question 48

A store sold more units this month than last month, yet its revenue fell. If every unit had the same price within each month, which fact could explain both results?
  • ☐ A. The store opened for more days this month.
  • ☐ B. The price per unit was higher this month.
  • ☐ C. The price per unit was unchanged.
  • ☐ D. The price per unit was lower this month.
  • ☐ E. Every unit cost more to produce this month.
Show answer and explanation

Response: D

Final answer: The price per unit was lower this month.
Revenue is quantity sold times the price per unit, so multiplying more units by a sufficiently smaller price can produce a smaller total than the previous month. A lower price can explain both. An unchanged or higher price cannot produce the fall when volume rises, and production costs affect profit rather than this revenue calculation.

Question 49

One tap fills a tank in 6 hours and a second fills it in 3 hours. Both flow at constant rates into an empty tank. How long do they take together?
  • ☐ A. 9 hours
  • ☐ B. 4 hours
  • ☐ C. 2 hours
  • ☐ D. 3 hours
  • ☐ E. 1 hour
Show answer and explanation

Response: C

Final answer: 2 hours
Combine the filling rates. In one hour the first tap fills 16 of a tank and the second fills 13, for a combined rate of 16+13=12 tank per hour. Two hours fill one tank, since 2×12=1, using the simultaneous flow rather than adding the separate completion times.

Question 50

Exactly one box holds a key. Box A says "The key is in B." Box B says "The key is not in A." Box C says "The key is not in B." Exactly one statement is true. Where is the key?
  • ☐ A. C
  • ☐ B. B
  • ☐ C. A
  • ☐ D. No location satisfies the rules
  • ☐ E. A or B
Show answer and explanation

Response: C

Final answer: A
Try each possible key location. With the key in A, the three statements are false, false and true, meeting the requirement that exactly one statement be true. Putting it in B gives true, true and false. Putting it in C gives false, true and true, so both of those locations produce two true statements and leave A as the only valid location, offered by option C.