Police Vault Quiz - Extended

This is the only solution that matches the requirement to spend $60,000.

You have $52,000 remaining after purchasing the $8000 Fiat Uno (60,000 - 8000 = 52,000)

$40,000 (BMW) + $12,000 (Skoda) = $52,000.

The line of black squares alternate top to bottom with one more black square added to the line each time.

Further below is a short discussion on the mathematical facts of this solution - but you don't need that. This type of question will be multiple choice in police exams. So you only need to be able to estimate. One easy reference is that there is about a 10 minute difference in these walking speeds over an hour. So this roughly equates to the difference in their arrival time (12 minutes apart). So you know the distance is about 5 or 6 km. Only one solution is close to this.

There is a mathematical way to work out this solution - which is basically to understand there is a 12 minute difference in the timing. Therefore the deficit is appropriate to a 6km distance (an additional 12 minutes at 5km per hour)

Kimi is the only person mentioned who only has one car.

The sentence states that Callie came in first, which means she finished before Amy and Grace. Therefore, Callie was the fastest runner.

This question is asking who between Marina and Sachiko is the tallest. The phrase "the tallest" indicates that there are only two options being compared and the question is asking for the person who is the tallest among them.

The dot is on the outside in 'f'. In all the other pictures it is on the inside.

The red bar is rotating 45 degrees anti clockwise each time and the black line is rotating 45 degrees clockwise each time.

There is one more BLUE square in each progression. There remains the same number of black squares.

When adding "est" to "wet," the last letter "t" is doubled before adding the suffix. Therefore, the correct spelling is "wettest."

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The letters are increasing by four increments. You can count this on your hand like this:

Thumb: a
Pointer Finger: b
Middle Finger c
Third finger: d
Pinky finger: e

This shows that each letter is on the thumb and pinky. Make sure you reset each count. So in this case 'e' becomes the thumb (so you sort of count it twice like this).

If you're really in a hurry on this it is a good guess that y,c is the correct response because this is the only answer that has a letter AFTER 'u'.

There is an alternating pattern. The first and third boxes show the open square openings at the sides with two single shapes on the inside at top and bottom.

The second and fourth boxes show the open square with openings at the top and bottom with a pair of shapes at each opening.

So it follows that the fifth box will follow the pattern of the first and third box. So we are looking for the open square (with openings on the sides) with two matching shapes at top and bottom. The correct answer is the only option that matches.

The given statements that together prove that Sandy is a country music singer are "Sandy sings in a band" and "Sandy's band plays country songs." These two statements indicate that Sandy is involved in a musical group that specifically performs country music, which suggests that Sandy is a country music singer. Additionally, the fact that Sandy has attended singing lessons for many years further supports the idea that she is a trained singer in the genre of country music.

The first person exceeded the speed limit by 10mph, while the second person exceeded it by twice that amount, which is 20mph. If the second person was traveling at a speed of 35mph, then the speed limit must be 35mph minus the amount they exceeded it by, which is 20mph. Therefore, the speed limit is 15mph.

This question tests your vocabulary of basic words. If you have a strong vocabulary the answer will just jump out at you! Otherwise you simply try each of the four options. Be aware that this is a very easy question as the answer is one of four options. Sometime the letter options will not be provided!

There are only a few facts you need to determine who has the red door. You can quickly eliminate incorrect answers like this:

Portos: Has has a neighbour with a red door (so his must have the blue or green door)
Aramis: Portos and Aramis are not neighbours (and Portos is neighbours with the red door)

Therefore it can only be Athos with the red door. The other facts listed can confirm this but are not necessary. This is why it is always good to quickly read the actual question (in the case about the door) before reading the full text. That way you know what you are looking for.

One less dot each time. However the remaining dots do not move. So in the fourth progression we see a dot at the top and bottom. So we are looking for an answer with one dot remaining which will be at the top or bottom. There is only one choice.

A synonym is a word that means the same thing.

Every second picture is vertical arrows pointing up. First one, then two and now three.

It is not possible to see if anyone actually ran under the qualifying time. It is clear that Jensen's best time is not good enough to qualify.

The orientation of each set of lines changes 90 degrees each step and one set gains a line and the other loses a line.

That is, the original lines are horizontal. They rotate 90 degrees and lose a line. This continues.

The second set (which appear in the second box) start horizontal and then rotate 90 degrees and gain a line.

A synonym is a word that means the same thing.

MISD is the word that does not appear in the following sentences.

This question requires basic multiplication and division skills. It is numerical reasoning really.
Running:
3km at 4km per hour = 3 / 4 = 0.75 so 60 minutes x 0.75 = 45 minutes

Tractor:
5km at 6km per hour = 5/6 which you can see equals 50 / 60 minutes so that = 50 minutes

Car:
14km at 18km per hour:
This one is bigger numbers but the same principle. We know that the nearest even numbers are 15 / 20 which would equal 0.75 (the same time as running). However, the numerator (14 is a smaller drop than the denominator (18) so the answer is going to slightly higher. So you can estimate the car will take more time than running.
(The exact answer shows us our estimation is correct: 14/18 = 0.77 and 0.77 x 60 minutes = 46 minutes)

So the answer is therefore 'running' as it is the shortest time.

You can solve this by rough estimation given you have multiple choice here. You can quickly see that each of the first 3 answers satisfy the condition that the father is currently 5 times the age of the son.

By subtracting 4 years from each age in each answer you will see them as follows:
a: 26 and 2
b: 21 and 1
c: 36 and 4

Now it is clear that the answer is c: 40 and 8 (because 4 x 9 = 36 and 5 x 8 = 40). These questions are why it is important to learn your multiplication tables prior to testing.

A blank picture follows the bigger circle.

Four shapes are paired with two shapes. And the shapes are different.

So Josh has 8 rubber bands after he gives 3 away. (11 - 3 = 8)

Now Sunita has twice what Josh has left (8 x 2) = 16.

So Sunita had 3 less before Josh gave her 3 rubber bands. So the answer is 16 - 3 = 13.

The red triangle is rotating around the spaces in an anti-clockwise direction. The blue triangle is going the other direction. If you didn't get this right, you may have been confused by the first change in which they cross paths!

The green dots are disappearing two at a time. All the other coloured shapes are disappearing one at a time. So there are none left by the fifth progression.

There is one more coloured shape added each progression. They alternate on top and then below. On top and then below. So because the fourth progression added a shape underneath, the answer will show a shap added on top. There is only one choice.

All the others are types of behaviour

This question tests your vocabulary of basic words. If you have a strong vocabulary the answer will just jump out at you! Otherwise you simply try each of the four options. Be aware that this is a very easy question as the answer is one of four options. Sometime the letter options will not be provided!

There is one additional line to each shape for each progression. First 2, then 3, then 4, then 5. The answer is the shape with six lines.

The correct spelling to complete the sentence is "shepherd." A shepherd is someone who takes care of and guides a flock of sheep or goats. In this sentence, the shepherd is taking his flock to graze on the mountains.

Work this backwards if it helps. So 25% of 20 = 5 (another way to do this is 20 / 4 = 5).

Then 20% of 5 = 1 (another way to do this is 5 / 5 = 1)

Look at the solid black circle. There is one more of these in each progression.

The logic follows:

Dannii leaves at 2:35 (20 minutes after Cheryl) and arrives 50 minutes later (at 3:25)

Simon's journey takes 75 minutes (50 minutes plus 25 minutes because 50% of 50 = 25)

Simon arrived at 4:15 (75 minutes after he left at 3:00).

Understanding your basic addition and division will help in this type of question.

A polyglot speaks more than one language.

You are looking for arabic speakers initially (Hilary and Hannah)

Hannah speaks Albanian and Spanish and so it is only Hilary that speaks only Arabic and Spanish.

This is worked out backwards like this:

48 - 6 = 42 (Didier's age now)

42 / 3 = 14 (Wayne's age)

14 / 2 = 7 (Fernando's age)

There is a new colour each time and the new colour shape always appears in the top right of the square. In this case the green circle is in the top right.

The only option that makes sense here is that the reduction in prices would increase profits by increasing sales. The increase in sales would have to be enough to justify the discounts. So accordingly it would follow that, if true, Australians would buy more tickets have been conscious of the cheaper prices.

The sentence starts with the connector "SINCE" and the blank is after the comma. This means you need a subject, verb or both. Options "A" and "C" are eliminated because they also have connectors. Options "B" is eliminated because it has no subject. Leaving option "D" as the correct option.

An additional 1/8 (or triangle) is added to the blue shading each progression as well as the shape rotating clockwise 90 degrees each progression.

The correct answer is "sends." In this sentence, Mr. Hawkins is making a request for someone to perform an action. The verb "sends" is the correct form to use in this context because it agrees with the third-person singular subject "someone." The other options ("sent," "send," and "to send") do not match the subject-verb agreement and are therefore incorrect.

Aircraft is a type of transport as newspaper is a type of media.

A quick way to visualise this as if you are looking down at the garden from a "bird's eye view".



Now first imagine two vertical columns of fourteen RED dots (the posts). Now imagine two horizontal lines of GREEN dots completing the square at the top and bottom.



If there are fourteen RED dots in the two vertical columns, then the horizontal lines of GREEN dots are one less and at each end (because the corner posts are shared). Therefore there are only 12 GREEN dots in each horizontal row completing the square.



So the maths becomes 14 + 14 (the two vertical columns) + 12 + 12 (the two horizontal rows). This equals 52.



For tips on how to complete basic addition like this, please see the new bonus chapter on Mathematics in each of the state specific Police Mastery eBooks at http://www.policeprep.com.au/ebooks

This is the only picture where one of the symbols is touching the 'T' shape.

You must quickly identify the following facts in your head (or on scrap paper)

The puncture repair kit is cheapest.

The cactus is the middle priced (costing twice the puncture repair kit)

The stuffed kangaroo is the most expensive (costing twice the cactus)

As you are given options here, if you can't quickly do the algebra to solve this you can always start with the middle number.

In this case lets use 18 which is a middle sample of the possible options. This would make the puncture kit $9, the cactus $18 and the kangaroo $36. So 9 + 18 + 36 = 63. This is over our required answer of $56 but only by a bit, so at this point the answer 16 is a good guess. We can confirm this below:

8 + 16 + 32 = 56

Horace speaks more than one language but not Arabic. This can be determined from the information provided that Hanif and Horace speak Chinese, and Horace and Hannah speak Albanian. Since Hanif speaks Chinese and Horace speaks both Chinese and Albanian, Horace is the one who speaks more than one language but not Arabic.

Necessary

When adding "est" to the word "fat," the last letter "t" is doubled before adding the suffix. This rule applies when the word ends with a single consonant letter after a single vowel letter. Therefore, the correct spelling is "fattest."

This can be worked out backwards like this:

4 x 11 = 44 (four times eleven)

44 x 3 = 132 (this number 44 is one third of... 132)

132 / 2 = 66 (The required response is half of 132)

The key part of the evidence is that the "taxation regime" will expand "the base" of cigarette consumers by "reducing taxes". This expansion is another way of saying that there will be more consumers if taxes are lower. Lower taxes would mean lower prices. It therefore follows that more people will consume cigarettes because of the statement that lower taxes will expand the base.

You can calculate the hourly rate of each bricklayer like this:

5 bricklayers laying 50 bricks in 30 minutes means 1 bricklayer will lay 10 bricks in 30 minutes. So 1 bricklayer will lay 20 bricks in 60 minutes (1 hour)

Now we can see that to lay 60 bricks in 20 minutes we need a rate of bricklaying of 180 bricks per hour. (because 20 x 3 = 60 minutes so 60 x 3 = 180 bricks in 60 minutes)

So the number of bricklayers to lay at this pace is 180 bricks in an hour divided by the rate of one bricklayer (20 bricks per hour) So this is 180 / 20 which is 9. So the answer is 9 bricklayers.

The distances are not relevant to the question. So track the direction through each stage. You can do this in your head or use your hand like a compass face and follow each stage like this:

Start: West
Turn 90 degrees clockwise. Now you are facing North.
Turn 45 degrees anti-clockwise. Now you are facing North West.
Turn around 180 degrees. Now you are facing South East.
Turn 45 degrees clockwise. now you are facing South.

This is one of the few questions that translates well to actual police work because you must know your cardinal points, north south east west in order to navigate, give directions and follow directions. In an emergency this knowledge can save lives.

There are an additional 4 lines each progression. The actual shapes don't matter in this case. Just count the lines. the quickest way to do this is to understand how many lines are in each shape. The fourth picture, for example shows two octogons and a triangle. So it is 8 + 8 + 3 = 19. Now in the answers you are looking for an extra 4 lines. So 19 + 4 = 23.

Now 'C' stands out as it has 5 complete squares (5 x 4 = 20) and one open square (3 lines). So 20 + 3 = 23.

You might count the lines individually as you look for the pattern but once you suspect the pattern look to speed up your calculations by using your knowledge of shapes.

If A can copy 50 pages in 10 hours and A and B together can copy 70 pages in 10 hours, it means that B can copy 20 pages in 10 hours (since A can copy 50 pages and together they can copy 70, so B must be responsible for the remaining 20 pages). Therefore, B can copy 2 pages in 1 hour. To copy 26 pages, B would need 13 hours (26 divided by 2).

The face of the clock is divided into three parts. Let's assume the hours in the first part are x, the hours in the second part are y, and the hours in the third part are z. According to the given information, x = y + z. We need to find the total hours in the bigger part, which is x. Since x = y + z, the total hours in the bigger part is equal to the sum of the hours in the second and third part, which is 6 hours.

When adding "est" to the word "thin," you double the last letter before adding the suffix. In this case, the last letter is "n," so it is doubled before adding "est," resulting in the correct spelling "thinnest."

Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.

Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50

5x = 20

x = 4.

Age of the youngest child = x = 4 years.

This question tests your vocabulary of basic words. If you have a strong vocabulary the answer will just jump out at you! Otherwise you simply try each of the four options. Be aware that this is a very easy question as the answer is one of four options. Sometime the letter options will not be provided!

The first two letters are the same so you order them alphabetically using the third letter. This is almost a trick question. There are FIVE words listed. So although 'blur' is the LAST word, it would actually be the FIFTH. The question asks for the FOURTH word which would be 'blower'. The full order would be, blast, bless, blink, blower, blur.

Based on the given information, the fisherman caught a total of 53 fishes in a week. Since a good day is rated as catching 9 fishes, a fair day is rated as catching 7 fishes, and a bad day is rated as catching 5 fishes, we can determine the combination of good, fair, and bad days that would add up to 53 fishes. The only combination that satisfies this condition is 4 good days (4 x 9 = 36 fishes), 1 fair day (1 x 7 = 7 fishes), and 2 bad days (2 x 5 = 10 fishes), resulting in a total of 53 fishes. Therefore, the fisherman had 4 good days, 1 fair day, and 2 bad days in the week.

"...put the book back in its place." would be correct. The apostrophe is used in "it's" when abbreviating "it is". Like in the last sentence which could read "It is Sunday tomorrow..."

To make the ratio 17:24 equal to 1:2, we need to find the difference between the two ratios. The difference between 17 and 1 is 16, and the difference between 24 and 2 is 22. To make these differences equal, we need to subtract 16 from each term of the ratio 17:24. Therefore, 10 should be subtracted from each term to make the ratio equal to 1:2.

There are two changes happening. The square type shape with the circle in it is losing a line from the inside square and a line from the outside square each progression. The other thing that is happening is another square with double lines is gaining a line on the inside and outside each progression.

So by the fifth progression (the answer) the squares around the circle have gone completely and the new double line squares are not complete.

There is no pattern regarding the location of the shapes. This is why the circle can be INSIDE the new square at the end.

When the tank is 4/5 full, the engine can run for 12 hours. This means that each 1/5 of the tank can power the engine for 12 hours. Since 1/3 is less than 4/5, it means that the engine will have less fuel to run on. Therefore, it will run for a shorter amount of time. Since 1/3 is equal to 3/15, which is less than 4/15, the engine will run for less than 12 hours. The only option less than 12 hours is 5 hours, so that is the correct answer.

This is the only possible answer from the given solutions. Read the outcome required first (who must have both morning appointments) and then read the full text. That way you will find the required information as you go.

If the vehicle can travel 12 miles with a 4/5 full tank, it means that each 1/5 of the tank allows the vehicle to travel 3 miles. Therefore, with a 1/3 full tank (which is equivalent to 2/6 or 4/12), the vehicle will be able to travel 4/12 * 3 miles = 1 mile.

The face of the clock is divided into three parts: the first part, the second part, and the third part. The sum of the second and third parts is equal to the total hours in the first part. Therefore, the total hours in the bigger part is 6 hrs.

This is the only possible answer from the given solutions. Read the outcome required first (who must have both afternoon appointments) and then read the full text. That way you will find the required information as you go.

Note that Mr Hilstart also must have afternoon appointments but the answer with his name is paired with Ms. Banger who must have mornings.

The correct answer is the best SUPPORTING EVIDENCE as it shows new evidence about LOW biodiversity, regardless of poverty levels, is matched with HIGH education. This supports the other half of the already stated summary about HIGH biodiversity matching POOR education regardless of poverty levels.

Let's assume the number of 1kg packets is x and the number of 2kg packets is y. Since there are 150 packets in total, we can write the equation x + y = 150. We also know that the total weight of the box is 264kg, so we can write the equation 1kg * x + 2kg * y = 264kg. By solving these two equations simultaneously, we can find the values of x and y. The correct answer is 114, which means there are 114 2kg packets in the box.

If the word 'each' was not at the start of the question then 'A' would have been correct.

The salesperson made a mistake by multiplying the number instead of dividing it by 3. To find the correct answer, we need to reverse the mistake. Since the answer obtained was 3, we need to divide 3 by 3 to get the correct answer. Therefore, the correct answer is 1.

The bus travels at a speed of 18 mph to the destination, which is 27 miles away. Therefore, it takes 27/18 = 1.5 hours or 90 minutes to reach the destination. After staying for 30 minutes, the bus starts its return journey. During the return journey, the bus travels with a 50% faster speed, which is 18 + (18 * 0.5) = 27 mph. The distance from the destination to the bus stand is also 27 miles. Therefore, it takes 27/27 = 1 hour or 60 minutes to return to the bus stand. Adding the time taken to reach the destination (90 minutes) and the time taken to return (60 minutes), the total time is 90 + 60 = 150 minutes or 2.5 hours. If the bus started at 8.00 am, it will return to the bus stand at 8.00 am + 2.5 hours = 10.30 am. Therefore, the correct answer is 10.30 a.m.

In the first race, the person lost x amount of money. In the second race, the person lost x+6 amount of money. So, the total amount lost by the person in the two races is 2x+(x+6)=68. Solving this equation, we get x=20. Therefore, the person lost 20 rupees in the first race and 20+6=26 rupees in the second race. Since the friend lost 4 rupees more than the person in the second race, the amount lost by the friend in the second race is 26+4=30 rupees. Therefore, the correct answer is 41.

Joe's age 2 years from now will be 24, so his current age is 24 - 2 = 22.
Joe's father's age 6 years from now will be twice Joe's age, so his age will be 22 * 2 = 44.
Joe's mother's age 2 years before was twice Joe's age, so her age was 22 * 2 = 44.

The difference between Joe's father's and mother's age is 44 - 44 = 0.

If B was fined for over speeding by twice the amount by which A exceeded the limit, and A exceeded the limit by 10 km/hr, then B would have exceeded the limit by 2 * 10 km/hr = 20 km/hr. Therefore, B's speed would be 35 km/hr + 20 km/hr = 55 km/hr. However, since B was fined for over speeding, it means that B's speed was above the speed limit. Therefore, the speed limit for the road must be lower than 55 km/hr. The only option that satisfies this condition is 10 km/hr.

When the length of a rectangle is increased by 30% and the width is decreased by 20%, the new length becomes 1.3 times the original length and the new width becomes 0.8 times the original width. The area of a rectangle is calculated by multiplying the length and width. Therefore, the new area is (1.3 * length) * (0.8 * width) = 1.04 * (length * width). This means that the area is increased by 4%.

The man misses the train by 7 minutes when he walks at 5 kmph, and he reaches the station 5 minutes before the train arrives when he walks at 6 kmph. This means that the difference in time between the two scenarios is 12 minutes (7 minutes + 5 minutes). In this 12 minutes, the train travels the distance between the station and the point where the man misses it, which is the same as the distance between the station and the point where the man arrives before the train. Therefore, the distance covered by the man to reach the station is 6 km.