CCAT

Everything that is small is cute. A kitten is small. Therefore, a kitten is not cute. A. True B. False C. Uncertain

B. False The logical conclusion after combining the first two sentences is that a kitten is cute.

What would be the next number in the following series? -1/3 | 5/3 | 5 | 1 | 0.2 | ? a, 2.2 b. 3 1/3 c. 5.5 d. 6.2

The correct answer is (D) 6.2.This series advances according to the following rules:(1) The mathematical operations between the intervals alternate in a specific order, +, x, -, /.(2) In each step, the value of the number by which the previous interval is divided/subtracted/multiplied/added- increases by 1.

What would be the next number in the following series? 1 ... 10 ... 2 ... 9 ... 3 ... ? A. 5 B. 8 C. 10 D. 11 E. 12

1 + 9 (10) - 8 (2) + 7 (9) - 6 (3) + 5 (8).

20 is 20% of what number

20% of 100 equals 20.

Which of the following values is the highest? A. 1.008 B. 0.009 C. 1.08 D. 1.004 E. 1.8

The greatest value is 1.8.

What would be the next group of letters in the following series? AOHV ... BPIW ... CQJX ... DRKY ... ? A. ELRZ B. EMSZ C. FMTZ D. ELSZ E. ELSY

Each letter in the suite follows the alphabetical order with the corresponding letter of the following word: AOHV ... BPIW ... CQJX ... DRKY ... ESLZ

Irene, Denise, Melissa and Helene are four friends. Four statements are given: Irene is in the same class as Denise. Denise is in the same class as Helene. Helene is in the same class as Melissa. Melissa is in the same class as Irene. Therefore, what is not possible? a. Only one statement is correct. b. Only two of the statements are correct. c. Only three of the statements are correct. d. All four statements are correct. e. None of the four statements are correct.

The correct answer is C. For this type of question, the best way to organize yourself is to draw the information presented in the statement. By drawing the statement, we can observe that if all four statements are correct, all four girls are in the same class. Answer D is therefore possible. Answers A, B and E are also possible; however, answer C is impossible because if only three statements are correct it contradicts the fourth statement. The correct answer is therefore answer C.

If a wildlife photographer takes 12 photographs per hour, how many photographs can he take in 6 hours? A. 76 b. 32 c. 72 d. 98 e. 114

The correct answer is C. To solve this arithmetic problem, the number of photographs must be multiplied by the given time. 1 hour = 12 photographs6 hours = 6 × 12 = 72 photographs

What would be the next number in the following series? 1 ... 3 ... 7 ... 15 ... 31 ... ? A. 63 B. 75 C. 83 D. 92 E. 94

1 + 2 (3) + 4 (7) + 8 (15) + 16 (31) + 32 (63).

On Monday, 50 children bought a ticket for the ghost train attraction. If 30% more children bought a ticket to this attraction on the following Tuesday, how many tickets were sold during those two days? A. 30 B. 65 C. 85 D. 115 E. 165

30% of 50 equals 15% of 100, so 15. By adding up the 50 children on Monday and 50-15 children on Tuesday, we get a total of 115 children

One kilo of Persian rice is sold for 5 dollars per kilo. For 4 kilos purchased, the seller offers a 20% discount. If Josephine bought 12 kilos of rice, how much did she pay in total? A. $48 B. $52 C. $58 D. $60 E. $64

4 kilos bought without the discount equal $20. A 20% reduction on this $20 is equal to $4 (we do 10% and multiply by 2), so $16 for 4 kilos. By buying 12 kilos, Josephine pays 3 times $16, which equals $48.

It takes Max three hours to run 30 kilometers. Georges, on the other hand, travels the same distance in 2 hours and 20 minutes. If both are to complete a 15-kilometre race, how long before Max will Georges arrive to the finish line? A. 10 minutes B. 20 minutes C. 30 minutes D. 40 minutes E. 50 minutes

If Max completes 30 kilometers in 3 hours, then he completes 15 kilometers in 1 hour and a half (90 minutes). Georges travels 30 kilometers in 2 hours and 20 minutes, that is, in 140 minutes, so he travels 15 kilometers in 1 hour and 10 minutes (70 minutes). The time difference between them is 20 minutes.

A group of four numbers has an average of 12. The first three numbers are 9, 12, and 15. Which one is the missing number? a. 10 b. 11 c. 12 d. 13 e. 14

The average of the first three numbers: In order for the average to remain 12, the fourth number must also be 12. Thus: The correct answer is therefore answer C, 12.

Most of the snakes are green. Most of the snakes are quick. At least one snake is both green and quick a. yes b. no c. uncertain

The correct answer is (A) - Yes. If most of the snakes are green and most of the snakes are quick, we can deduce that there has to be at least one green snake that is also quick. This happens because the subgroups of "green" and "quick" each constitute more than 50% of the snake population ('most of the snakes' means more than 50%) and consequently must overlap.

Dan is Joshua's son and Guy's brother.Margaret is Guy's mother and Judy's daughter. Which of the following statements is definitely true? a. Judy is Dan's mother in law b. Margaret is Dan's mother c. Judy is Joshua's grandmother d. none of the above

The correct answer is (D) - 'None of the above.' Dan and Guy are siblings, however, we do not know whether they are full siblings or half brothers. Margaret, who is Guy's mother, might not be Dan's mother, and Joshua, who is Dan's father, might not be Guy's father.

Organizational resources must be ____ in order to collect, store, and analyze measures. a. engaged b. finished c. preoccupied d. expanded e. wasted

The correct answer is (D) - expendedThe statement declares that the resources must be spent in order to collect etc. (the resources spending has a positive-tone to it). Therefore, the most suitable word in this context, to fill the blank is expended, which means 'to use or to spend something (mostly time, effort, or money) for a valuable purpose'.Organizational resources must be expended to collect, store, and analyze measures. Engaged refers to being involved in something (in addition to other elements) unlike 'expended' which describes the main purpose of the organizational resources. Finished means 'having completed (something).'Preoccupied means 'overly thinking or worrying about something. 'Wasted means 'something not used effectively (time, money, etc.)'

36 is 15% of what number? a. 220 b. 225 c. 235 d. 240 e. 250

The correct answer is D. Calculation: 15% × x = 36 So: Now multiply the two operations by 100 and divide by 15, which gives: x = 240

Jonathan spends an average of 30 minutes a day playing videogames with his console. How long did he play in total on his console during the month of January? a. 91 minutes b. 540 minutes c. 750 minutes d. 930 minutes e. 1040 minutes

The correct answer is D. It is necessary to multiply the number of minutes Jonathan spends on his console by the number of days in January. There are 31 days in the month of January, so: 30 × 31 = 930 minutes

What would be the next group of letters in the following series? bd ... eg ... hj ... km ? A. ln B. lp C. no D. np E. nq

The correct answer is D. The suite is composed of four elements, each on consisting of two letters. Each element is composed of one letter and the letter after the next one, i.e. by "skipping" one letter each time: b (c) d ... e (f) g ... Therefore, the next element starts with the letter directly following the last letter of the previous element. The correct answer is E, "np", because it follows the same logic: n (o) p.

Choose the word that is most nearly the OPPOSITE to the word in capital letters. PASSION A. fanaticism B. attachment C. calm D. frenzy E. hate

The meaning of the word "passion" is to be passionate, emotional and intense, so the nearest opposite is "calm".

Choose the word that is most nearly the OPPOSITE to the words in capital letters. SMART A. silly B. strong C. unhinged D. ingenious E. intelligent

The meaning of the word "smart" is to be cunning, astute and unhinged so the nearest opposite is "silly".

Choose the word of words that, when inserted in the sentence to replace the blank or blanks, fits the best with the meaning of the sentence. Don't miss the visit to Osaka Castle, the Shinsekai district and the climb to the Umeda Sky for a ___ view of the city. A. panoramic B. low C. spherical D. circular E. golden

The missing word is "panoramic."

On the occasion of its 30th anniversary, a large ___ of sandwich-pastry stores in Belgium has been ranked as the most ___ sandwiches in the Kingdom. A. frame ... best B. succession ... bad C. chain ... popular D. closing ... nice E. line ... spicy

The missing words are "chain" and "popular."

Choose the word that is most nearly OPPOSITE to the word in capital letters. HILARIOUS A. shy B. stupid C. fearful D. boring E. joyful

To be hilarious means to be in a state of extreme mirth. The closest opposite of this word is therefore answer D: "boring".

Choose a pair that is analogous to House: Roof a. timber: furniture b. tree: branch c. roof: front door d. window: view c. neighborhood: town

b. Tree: Branch The relationship between House: Roof can be described as 1 A house includes a roof on its top 2 A roof is a part of a house, which requires to read the pair from end to start. None of the answer options refers to the fact that the object is on the top, and the only answer option that is written in the same order and answers the description of the second relationship is Tree: Branch (A branch is a part of a tree) Note that the pair Neighbourhood: Town is written in the reverse order which is why it cannot be the correct answer.

A recipe for making 18 cookies requires 3/4 cup of sugar. How much sugar would be needed to make two dozen cookies using the same recipe? a. 2/3 cup b. 3/8 cup c. 1 cup d. 1 1/3 cup e. 1 1/2 cup

c. 1 cup (3/4)×(24/18)=(3×24)/(4×18)= 1 cup

A leading chocolate company recently announced that it has succeeded in creating red chocolate. The company _______ that no food coloring was involved. Instead, they used a ________ type of cacao bean and a unique manufacturing process. a. denies, known b. claims, original c. insists, special d. advertised, competitive e. refused, new

c. insists, special

Choose a pair that is analogous to Wheel: Fender a. disease: virus b. screwdriver: latch c. rudder: mast d. ball: shoe e. road: car

c. rudder: mast Wheel and Fender are parts of a car. We need to find two additional items which are parts of an object. Disease: Virus - a disease can be caused by a virus. This is a cause-and-effect relationship. You might ask, why can't these two words be part of the study of medicine, or virology? however, this would be a much more abstract, and less coherent type of relationship to describe that these two words are components of some other tangible thing. Screwdriver: Latch - a screwdriver and a latch are two objects with different purposes. Rudder: Mast - a rudder and a mast are both parts of a boat. This is the correct answer. Ball: Shoe - Ball can be passed on/ kicked with a shoe. Road: Car - A road is a surface on which a car can drive.

Choose a pair that is analogous to Temperature: Flame a. tornado: storm b. freeze: cold c. sea level: tide d. wind: velocity e. tropical: warm

c. sea level: tide Temperature: Flame - we can describe the relationship backwards as Flame is associated with high temperatures Similarly, tide is associated with higher sea levels. Note that Sea level: Tide is the only pair that not only describes the same relationship but is also written in the same order as Temperature: Flame.

In a class of 35 students, there is a 4:3 ratio between boys and girls. How many girls are there? a. 12 b. 13 c. 14 d. 15 e. 17

he correct answer is D. A ratio of 4:3 is calculated as follows: 4 boys for 3 girls, so a total of 7. Ratio of girls = 3, so: 3 × 5 = 15 Ratio of boys = 4, so: 4 × 5 = 20 So, there are 15 girls in the class.

FRONTIER is to COUNTRY as... A. MIDNIGHT is to DAY B. BOILING is to WATER C. INTERCLASS is to WORK D. OXYGEN is to ATMOSPHERE E. LEG is to ARM

"The frontier delimits the end of a country." The corresponding analogy is that "midnight delimits the end of a day."

There are four famous topical pictures in a museum: scenery, a kitchen, a park, and oranges.The paintings were painted by Jones, Smith, Hardy, and Lane. The scenery painting is hanging next to Smith's painting.The scenery painting also hangs between the park and Hardy's painting.Jones didn't paint the scenery or the oranges. a. joes painted the kitchen b. smith painted the scenery c. hardy painted the park d. lane painted the kitchen e. none of the above

The correct answer is (A) - Jones painted the kitchen. Let's simplify the question by placing the information for each sentence within the frames. "The scenery painting is hanging next to Smith's painting." We do not yet know the exact location of Smith's picture and the scenery picture, so we'll start placing the information in one way and see if the following details contradict our placement. "The scenery painting also hangs between the park and Hardy's painting." We now know that the Scenery image is next to Hardy's picture and next to the Park image. Still, from the previous information, we know that it is adjacent to Smith's picture, and because it can only be next to two photos, Smith painted the Park image. We currently do not know if Smith's image is to the right or left of the scenery picture, so we'll leave that option until data appears to contradict it. "Jones didn't paint the scenery or the oranges." If John did not paint the picture of the Scenery, place it in the far left frame. And if he did not paint the orange picture, then it can be determined that Hardy painted the orange picture. So it can be concluded with certainty that John painted the picture of the kitchen.

What would be the next number in the following series? 1 | 5 | 4 | 16 | 14 | 42 | ? a. 39 b. 18 c. 41 d. 9

The correct answer is (A) 39. This series advances according to the following rules:(1) The series progresses by multiplication and subtraction, alternately.(2) In each step, the value of the number by which the previous interval is subtracted/multiplied- increases by 1. Therefore, it is recommended to try to figure out which arithmetic function would lead to the next number in the series. 1 x 5 = 5 5 - 1 = 4 4 x 4 =16 16 - 2 =14 14 x 3 =42 The rule involves alternating between multiplication of descending terms beginning with 5 and subtraction of ascending terms beginning with 1. So x5, -1, x4, -2, x3, -3,... Therefore: 42 - 3 = 39.

What would be the next group of letters in the following series? SZ ... YR ... QX ... WP ... ? A. NU B. OV C. MT D. LZ E. OW

The sequel is presented in series of two letters which follow a reverse alphabetical order reversing as well their positions within the couple: the first series begins with the letter S and then in the second element (R), moves into second position and so on: SZ ... YR ... QX ... WP ... OV

Chewing gum sells for $0.10 per box. How many boxes can you buy for $2.50? a. 12 b. 17 c. 20 d.22 e. 25

To find how many boxes we can buy, we divide the total amount of money by each box's price. Note that to simplify the solution, you can move the decimal point in both numbers one place to the right:$2.5/$0.1 is exactly the same as $25.0 / $1.0 = 25/1 = 25Another way to perform the calculations is to convert 0.10 to 1/10 and 2.50 to 2 1/2 = 5/2.5/2 divided by 1/10 is identical to 5/2 multiplied by 10:5/2*10=50/2=25.

Please select a pair of words that have a similar relationship vineyard : grapes a. laboratory : bacteria b. field : mango c. wild: wolves d. orchard: orange

The answer is (D) - 'orchard' : 'oranges'. 'Grapes' grow in a 'vineyard' just as 'oranges' grow in an 'orchard. ' 'Mangos' do not grow in a 'field' but rather in a grove or orchard. 'Bacteria' may grow in a 'laboratory,' but they are also present in a host of other environments.

FLOWER is to BOUQUET as ... a. soldier is to company b. bread is to cookies c. magazine is to cover d. tap is to water e. seed is to herb

The correct answer is (A) - SOLIDER is to COMPANY When solving analogy questions, first notice the relation the given pair of words maintain, then find another couple of words in the answer options that bear the same connection.In this question, one can see that the relation between the given pair of words is that a BOUQUET is made of FLOWERS.It is advisable to start solving the question by eliminating the answer options that do not maintain the relationship between the given pair of words. To choose correctly, you will find it helpful to create a sentence containing the given pair of words and their relation. Try to implement this sentence on the answer options pairs and see which one fits best, technically and logically.Notice! Aspire for the sentence to be as accurate as possible.A good sentence describing the relation between the given pair of words is: 'A bunch of FLOWERS make up a BOUQUET.' Now, implement this sentence on the answer options:Answer-option (A) - SOLDIER is to COMPANY - 'A bunch of SOLDIERS make up a COMPANY.' This answer-option fits the sentence perfectly and maintains the relationship established above: 'A bunch of FLOWERS makes up a BOUQUET.' just like 'A bunch of SOLDIERS makes up a COMPANY.'Therefore, answer-option (A) is correct. Answer-option (B) - BREAD is to COOKIES - 'A bunch of BREADS make up COOKIES.' This answer-option can be immediately eliminated as the words-pair doesn't fit the sentence, and therefore, does not maintain the relation defined above. Answer-option (C) - MAGAZINE is to COVER - 'A bunch of MAGAZINES make up a COVER.' This answer-option can be immediately eliminated as the words-pair doesn't fit the sentence, and therefore, does not maintain the relation defined above.Answer-option (D) - TAP is to WATER - 'A bunch of TAPS make up WATER.' This answer-option can be immediately eliminated as the words-pair doesn't fit the sentence, and therefore, does not maintain the relation defined above.Answer-option (E) - SEED is to HERBS - 'A bunch of SEEDS make up HERBS.' This answer-option can be immediately eliminated as the words-pair doesn't fit the sentence, and therefore, does not maintain the relation defined above. Notice: The relationship and the order in which the given pair of words appear must be maintained when looking for another couple of the same connection

There are six printers at "Today's news" newspaper, each printing at the same constant rate. When working together, the six printers can complete the printing of tomorrow's newspaper within 12 hours. If the owner wishes to reduce the printing time to 8 hours, how many other printers will he need to purchase, each with the same constant rate? a. 2 b. 3 c. 4 d. 5 e. 6

The correct answer is (B) - 3 additional printers.This question deals with the working rate. The working rate refers to the output (amount of work) of someone or something in a given amount of time. The formula connecting working rate with output is Work (or Output) = Working rate * Time. In this case, you are given information regarding the output of 6 printers; According to the question, six printers, working at the same constant rate, produce one newspaper (tomorrow's newspaper) within 12 hours. Let 'r' represent the rate of each printer. Since all six printers work at the same rate, their total working rate is 6r. Let 't' represent when the six printers are working to produce one newspaper: t = 12. Let W represent the output of the six printers: W = 1 (newspaper). Therefore, 1 = 6r * 12.Now you are told that the time of work decreased from 12 to 8 hours, but the output didn't change but stayed 1 newspaper, and you are asked how many more printers are required to achieve that. Therefore, the total number of printers required in the second equation is indicated as "a": 1 = a*r * 8.Since the Work in both cases is equal (W = 1) you can make the two equations equal:1 = 6r * 121 = a*r * 86r * 12 = a*r * 8 //Since r ≠ 0, divide both sides by r, to eliminate it from the equation.72 = a * 8a = 9 - the number of printers required to produce 1 newspaper within 8 hours.Therefore, 9 - 6 = 3 - more printers must produce one newspaper within 8 hours.Another way to figure out the number of printers needed in the second case: Working Rate Time Work First case 6r 12 1 Second case ?r 8 1 According to the Working Rate formula presented above, the Working Rate to Time, Work is directly related. The work hasn't changed (it remained 1 in both cases). The time decreased from 12 hours to 8 hours, 8/12 = 2/3, meaning the new time (8 hours) is 2/3 of the original time (12 hours). Therefore, the work rate must increase by 3/2 to compensate for the decrease in time to preserve the output. Therefore, 6r * 3/2 = 18r/2 = 9r. Hence, 9 is the number of printers needed to produce 1 newspaper in 8 hours, and the difference between the number of printers is 9 - 6 = 3 additional printers.The third approach to this type of questions is to work in two steps:(1) Finding the individual rate of work per printer(2) Finding the additional number of printers neededStep 1- The work rate of 6 printers together is 1 newspaper/ 12 hours => 1/12.Since each printer works at the same rate, we can say that each printer contributes 1/6th of the total work rate, meaning: (1/12)/6 = 1/72.Step 2- We will insert what we have learned in step 1 and the required time (hours) into the basic formula:Work = rate*time.1 newspaper = number of printers*(1/72)*8 hours=> 1 = number of printers*1/9=> Number of printers = 9The number of printers includes the original six printers + the additional printers required. Thus, 9 - 6 = 3 additional printers.

At Leads pencil factory, 7% of all the pencils produced come out cracked. If 56 cracked pencils were produced on a given day, how many pencils were produced in total that day? a. 80 b. 800 c. 392 d. 3920

The correct answer is (B) - 800.We are told that 7% of the pencils produced are cracked.7%×pencils produced = cracked pencils (56).We are given the number of cracked pencils (56) and asked to determine the number of pencils produced. To determine the number of pencils made, we will divide each side by 7%.Pencils produced= 56/7%56÷7% = 800Remember, 7% = 7/100 so to divide 56 by 7%, we can divide 56 by 7 and multiply the result by 100.56÷7 = 88×100 = 800

Python snakes are considered one of the most venomous species of snakes in the world. Most people who died from snake bites were bitten by a cobra. Cobra venom is necessarily deadlier than python venom. a. yes b. No c. cannot say

The correct answer is (B) - No. Even though more people die from cobra bites, cobra venom isn't necessarily deadlier. Python venom may be stronger and deadlier. Therefore, the final statement is incorrect.

Choose the word that is most nearly OPPOSITE to the word in the capital letters. BRASH a. dull b. polite c. arrogant d. shiny e. plastic

The correct answer is (B)- polite Brash is being confident and aggressive in a rude or unpleasant way. Its antonym is Polite- having or showing good manners or respect for other people.

ENGINE is to AIRPLANE as... a. dog is to legs b. road is to drive c. oar is to boat d. engine is to bumper e. hand is to clock

The correct answer is (C) - OAR is to BOAT The 'engine' makes the 'airplane' run just as an 'oar' makes a boat move. It is also true that a 'dog' moves with its 'legs', however, in this case, the order of the words is reversed. A 'hand' is the part of the clock that moves but does not cause the movement.

IMPERIOUS is the opposite of... a. arrogant b. moody c. subservient d. quiet e. stormy

The correct answer is (C) - subservient. Imperious means "domineering in a haughty manner; dictatorial; overbearing," so the antonym is subservient. Arrogant is a similar word but not a synonym. Quiet and stormy are not related. Therefore, the correct answer is subservient.

When inserted in the sentence to replace the blank or blanks, choose the word or words that best fits the sentence's meaning. Approved websites must be removed from any programmed inspection lists for the ____ of participation. a. persistence b. stoppage c. continuity d. duration e. periodical

The correct answer is D. This is the only logical answer. Approved websites must be removed from any programmed inspection lists for the duration of participation.

If the first two statements are true, is the final statement true? All pearls are shiny. Some pearls are black. Some black things are shiny. a. Yes b. No c. Uncertain

The correct answer is: Yes.Look at the two statements and try to formalize them:1. All pearls are shiny: pearls --> shiny.2. Some pearls are black: *(some) pearls + black.Now, consider the conclusion:Some black things are shiny: *(some) black + shiny.Another way to say this is: "Some things are both black and shiny"Since you consider the first two statements to be true, based on the first statement you can replace the word "pearls" in the second statement with the expression "shiny things" to get the sentence:"Some shiny things are black."Another way to say this is: "Some things are both shiny and black."The proposed conclusion is the same as the latter sentence, only in different order.Therefore, The proposed conclusion is correct.

Which of the statements below must be true if it is followed that Harriet runs faster than Andrea? 1. Jennifer runs faster than Robin but slower than Grace. 2.Emma is the slowest. 3. Grace and Harriet run at the same speed. 4. Harriet runs faster than Emma. 5. Robin runs faster than Andrea. a. 2,3,4 b. 1,3,4 c. 1,2,3 d. 1,3,5

he answer is 1, 3, 5. When addressing this question it is advisable to first take a look at the answers and see just how many statements we are supposed to need: in this case, only three.Now we can look at the statements and gather those that are relevant to the conclusion we are presented with. We know that Harriet runs faster than Andrea, therefore it makes sense to figure out the relationships that relate to this information. We can arrange our data in the form of a list.Statement 1 gives information about Robin and Grace. We can write it down and move on to the next statement.Statement 2 gives us new information but we don't know yet how helpful it is, thus we should continue and see what we can gather from other statements.Statement 3 seems relevant since it involves Harriet and Grace, who we encountered in the first statement.Statement 4 seems redundant since we already know that Emma is the slowest (statement 2), therefore we can safely rule out statement 4 from our answer, which means answers A (2+3+4) and B (1+3+4) are wrong.Now we need only compare answers C and D:Answer C states we need statements 1, 2 and 3, but that means we have information missing since we don't know the relationship between all the characters. Therefore, answer D is the correct one and we can easily assert that it is true by looking at statement 5 and the information it gives us in addition to statements 1 and 3: If Harriet and Grace run at the same pace, Jennifer runs faster than Robyn and slower than Grace, and Robin runs faster than Andrea, it clearly follows that Grace runs faster than Andrea, just as we were told. Harriet + Grace > Jennifer > Robyn > Andrea

The price of a Bluetooth speaker was $120. During the first week of January, its price rose by 20%, and then a week after it rose again by another $24. What is the total percentage increase in price for this speaker? a. 50% b. 40% c. 35% d. 45% e. 25%

b. 40% 10%=12, So 20% is (12×2)=24. Adding $24, we arrive at 120+24+24=$168. Now, how do we calculate the total percentage increase without the use of a calculator? We need to subtract 120 from 168, which is 48. This is the total amount of money that reflects the price increase. We need to find how much 48 is out of 120. Since we've already calculated what 10% of 120 is (12), we can slowly add units of 12 until we get to 48. Luckily, we need 4 units of 12, which is 4 units of 10% = 40%! Another way is to write a fraction (48/120) and to start reducing it / dividing it by common divisors.

MANIFESTATION is to INSURRECTION as... A. CARE is to ADORATION B. PRAY is to LOVE C. REFUSE is to ACCEPTATION D. SICK is to FLU E. HATE is to ANGER

"Manifestation" has the same meaning as the word "insurrection" but implies a lower degree of intensity. The same relationship in the same order exists between "care" and "adoration."

1 cookbook is sold for $9.50. Marie intends to buy 3 cookbooks. How much does she have to pay when she goes to the checkout at the store? A. $22 B. $23.50 C. $26.50 D. $28 E. $28.50

A cookbook costs $9.50, so 3 cookbooks cost $28.50

Martin wants to buy a chocolate ice cream. The price of an ice ball is $1.50 but there is a promotion and for 3 balls purchased, the fourth is for free. How much will Martin have to pay if he buys four scoops of ice cream for himself and four for his girlfriend? A. $8 B. $8.50 C. $9 D. $10 E. $11.50

By purchasing 8 scoops of ice cream in total, Martin pays only the price equivalent to 6 scoops. So, he pays 6 times $1.50, which equals to $9.

Peter has a box containing 65 red and blue balls. Counting them, he realizes that there is a ratio of 3 red balls to 10 blue balls. How many blue balls does he have in total? A. 15 B. 20 C. 30 D. 45 E. 50

For 13 balls we have three red balls and 10 blue balls. By dividing 65 by 13, you get 5, so there are 15 red balls (5 times 3) and 50 blue balls (5 times 10).

A group of four numbers has an average of 14. The first three numbers are 11, 12 and 17. What's the missing number? A. 11 B. 13 C. 15 D. 16 E. 18

If 4 numbers have an average of 14, then the total of these 4 numbers is equal to 14 times 4, that is, 56. The addition of the first three numbers equals to 40, so the number 16 is missing in order to reach 56.

Which of the following is the smallest value? a. 3.21 b. 0.6 c. 0.12 d. 0.07 e. 1.564

In this exercise, the number 0.07 is the smallest value.

Four individuals of different sizes - Elisabeth, Kiera, Guy and Amos - behave according to the following rule: each one trusts exclusively an individual of a higher size than him or herself. We know that Elisabeth only trusts Kiera. One of the following situations is not possible. Which one? A. Amos trusts Kiera B. Guy does not trust Amos C. Amos only trusts Elisabeth D. Guy trusts everyone else E. Guy trusts Kiera

It is impossible for Amos to trust only Elisabeth since we know that Kiera is bigger than Elisabeth

Please select a pair of words that have a similar relationship decrease : increase a. stretch : enlarge b. beauty : ugliness c. sitting : walking d. square : triangle

The answer is (B) - 'beauty' : 'ugliness'. 'Decrease' and 'increase' are verbs that are opposites. 'Beauty' and 'ugliness' are nouns that are opposite. However, these are the only pairs of opposites because sitting is not the opposite of walking.

VERIFY is the opposite of... A. Fertilize B. Disprove C. Authenticate D. Agree

The correct answer is (B) - Disprove. VERIFY means "to prove the truth of," so the antonym is 'disprove.' 'Authenticate' is a synonym. 'Agree' is a similar word but not a synonym. 'Fertilize' is not related. Therefore, the correct answer is 'Disprove.'

Dr. Frantz is the boss of Mr. Abelard. Mr. Abelard's position is under that of Professor Glickman's. Professor Glickman is the boss of Dr. Frantz. a. yes b. no c. cannot say

The correct answer is (C) - Cannot say. According to the information, Dr Frantz's position and Professor Glickman's position are above Mr Abelard's position. Nevertheless, we do not have enough information about Dr Frantz and Professor Glickman. Dr Frantz's position may be above both Mr Abelard's position and Professor Glickman's position, or Professor Glickman's position may be above both Mr Abelard's position and Dr Frantz's position. Therefore, the correct answer is C, cannot say.

What would be the next number in the following series? 7 | 14 | 28 | 32 | 64 | 128 | ? | ? a. 257 | 1128 b. 208 | 514 c. 132 | 264 d. 340 | 686

The correct answer is (C) 132 | 264.

The combined ages of a dog and its owner are 96 years in total. The owner is 3 times older than his dog. How old is the owner?

The correct answer is (D) 72.If the owner is 3 times older than his dog, we can create an equation letting the dog be X and the owner be 3X (as 3X is three times greater than X), with a total sum of 96 (their combined ages)3X+X = 964X = 96X = 24The owner is 3X = 3*24 = 72The question can also be solved by trying the answers instead of writing a formula. For example:If answer A is correct, the owner is 24 years old, and the dog would be 24/3 = 8 years old. Together they would be 24+8 = 32 years old. Seeing that this number is much too small would be wise to move to a much bigger number. If answer D is correct, the owner is 72 years old, and the dog would be 72/3 = 24 years old. Together they would be 72+24 = 96 years old. Note: because the owner is 3 times older than his dog, and their sum of ages is a whole number, the owner's age must be divided by 3 without a remainder. Thus, answers B and C (34 and 58) can be eliminated immediately.

Ben is 75% of his uncle's age and 3 times older than his nephew. If Ben's uncle is 50 years old, how old is Ben's nephew? a. 10.5 b. 28 c.17 d. 9.5 e. 12.5

The correct answer is (E) - 12.5.According to the question, Ben's uncle is 50 years old, and Ben is 75% of his age.Ben is also 3 times older than his nephew. Therefore, Ben links the uncle's age and the nephew's age. Hence, to find the nephew's age first, you must calculate Ben's age.Ben is 75% of his uncle's age, which is 75% of 50. To find Ben's age use the formula:Part = %*whole = (percentage value/100)*wholeInsert the given data:Part = Ben's agepercentage value = 75Whole = Uncle's age = 50Ben's age = 75%*50 = (75/100)*50 = 50*(75/100) = 75/2 = 70/2 + 5/2 = 35 + 2.5 = 37.5You are told that Ben is 3 times older than his nephew, which means that the nephew is 3 times younger than Ben. Therefore, to find the nephew's age, divide Ben's age by 3:Nephew's age = 37.5/3 = 36/3 + 1.5/3 = 12 + ½ = 12 + 0.5 = 12.5

When inserted in the sentence to replace the blank or blanks, choose the word or words that best fits the sentence's meaning. Electronic information and automated systems are essential to ____ all major federal operations. a. fundamentally b. effectively c. implicitly d. approximately e. virtually

The correct answer is (E) - virtually.The sentence refers to electronic information that is fundamental to (something) all major federal operations. The sentence's general idea implies that electronic information is essential to practically/ nearly/ almost all primary federal operations. Therefore, the only word accurately reflecting that meaning in the sentence's context is virtually. Notice! One should also pay attention to the fact that electronic information is distributed "virtually." Therefore, although the four options could be used, "virtually" is the best option in this context. Fundamentally means 'essentially' would indicate unnecessary repetition and fail to highlight the sentence's essence. Effectively means 'successfully, desirably.' Implicitly means 'not directly expressed.' Approximately means 'not completely accurate or exact, roughly.'

What would be the next number in the following series 2 ... 3 ... 5 ... 8 ... 13 ... ? a. 21 b. 22 c. 23 d. 24 e. 25

The correct answer is A. Each element of the series is calculated by adding the two previous elements: 0 + 2 = 2 + 3 = 5 + 3 = 8 + 5 = 13 + 8 = 21

Tom is fatter than Jack. Tom is thinner than Joe. Jack is fatter than Joe. a. True b. False c. Uncertain

The correct answer is B. According to the statement, Tom is fatter than Jack but thinner than Joe. We can therefore deduce that Joe is necessarily fatter than Tom, i.e. fatter than Jack as well.

A woman has in her wardrobe 4 skirts, 5 blouses and 3 jackets. For dressing, she randomly selects one skirt, one blouse and one jacket. How many different clothes combinations can she dress with? a. 45 b. 60 c. 78 d. 85 e. 98

The correct answer is B. In order to calculate the number of possible combinations, we simply multiply the number of possibilities for each garment: 4 × 5 × 3 = 60 So, there are 60 possible combinations of different outfits.

Delft Blue is the _____ pottery that has been produced in the city of Delft since the 17th century. a. empty b. famous c. beautiful d. tiny e. ancient

The correct answer is B. The only word that completes the sentence logically is 'famous', answer B.

MODEST is to ARROGANCE as ... a. ATTRACTIVE is to REPULSION b. INDIFFERENT is to APATHY c. SCATTERBRAINED is to CONCENTRATION d. ENVIOUS is to JEALOUSY e. RED is to COLOR

The correct answer is C. The relationship between the words in bold: a modest individual is characterized by a trait that is the opposite of arrogance. Response (C) contains the same relationship: a scatterbrained individual is characterized by a lack of concentration. The other responses are incorrect: attractive describes something that is appealing, thus arousing in an individual a desire or emotion that is the opposite of repulsion. Indifferent describes an individual characterized by apathy. Envious describes an individual characterized by jealousy, red is a color.

Which of the following values is the smallest? A. 0.04 B. 0.09 C. 1.12 D. 1.004 E. 0.05

The smallest value is 0.04.

Jean has 5 shirts, 3 ties, 6 trousers and 2 coats in his wardrobe. How many different sets can he compose using a garment in each category each time? A. 60 B. 80 C. 180 D. 200 E. 220

We multiply all the numbers: 5 times 3 times 6 times 2 is equal to 180.

An Espresso Book Machine (EBM) prints and binds a high-quality copy of a book right in the store, in just a few minutes. There's a catalog of millions of books to choose from, including rare manuscripts and books that publishers are no longer _______. a. printing b. asking c. seeking d. recommending e. negating

a. printing