Solving Math Word Problems, Exams of Advanced Education

A variety of math word problems covering topics such as speed, distance, time, cost, and more. The problems require the reader to carefully read the information provided, identify the relevant mathematical concepts, and then apply appropriate calculations to arrive at the correct solution. A range of difficulty levels, making it suitable for students at different academic levels, from high school to university. By working through these problems, students can develop their problem-solving skills, critical thinking abilities, and mathematical reasoning, which are essential for success in various academic and professional fields.

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WONDERLIC TEST QUESTIONS AND ANSWERS
The eleventh month of the year is:
A. January
B. November
C. October
D. May - answer- The correct answer is (B). The eleventh month of the year is
November.
A shop owner bought some shovels for $5,500. The shovels were sold for $7,300, with
a profit of $50 per a shovel. How many shovels were involved?
A. 18
B. 36
C. 55
D. 73
E. 90
F. None of these - answer- The correct answer is (B). The total profit from the sale is the
selling price minus the cost of purchase, which is $7300-$5500= $1800.If the total profit
is $1800 and each shovel accounts for $50 profit, the amount of shovels is 1800/50=36.
How many states are there in the U.S.A?
A. 20
B. 30
C. 40
D. 50
E. 60 - answer- The correct answer is (D). The USA has 50 states.
There are three times elephants compared to giraffes in the safari. If there is a total of
88 elephants and giraffes, how many elephants are there in the safari?
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WONDERLIC TEST QUESTIONS AND ANSWERS

The eleventh month of the year is: A. January B. November C. October D. May - answer- The correct answer is (B). The eleventh month of the year is November. A shop owner bought some shovels for $5,500. The shovels were sold for $7,300, with a profit of $50 per a shovel. How many shovels were involved? A. 18 B. 36 C. 55 D. 73 E. 90 F. None of these - answer- The correct answer is (B). The total profit from the sale is the selling price minus the cost of purchase, which is $7300-$5500= $1800.If the total profit is $1800 and each shovel accounts for $50 profit, the amount of shovels is 1800/50=36. How many states are there in the U.S.A? A. 20 B. 30 C. 40 D. 50 E. 60 - answer- The correct answer is (D). The USA has 50 states. There are three times elephants compared to giraffes in the safari. If there is a total of 88 elephants and giraffes, how many elephants are there in the safari?

A. 22

B. 31

C. 43

D. 59

E. 66

F. None of these - answer- The correct answer is (E). If there are 3 times as many elephants as there are giraffes, giraffes can be defined as X, and elephants as 3X, and build the following equation: 3X + X = 88 4X = 88 X = 88/ X = 22 As stated above, X stands for the number of giraffes. Thus, there are 22 giraffes. As mentioned in the problem, there are three times as many elephants as there are giraffes in the safari. Thus, to find how many elephants there are in the safari, multiply the number of giraffes by 3: 22 * 3 = 66 66 is the number of elephants in the safari. What is the next number in the series? 5, 15, 10, 13, 15, 11, ___ A. 9 B. 13 C. 10 D. 20 E. 15 F. None of these - answer- The correct answer is (D). This series is made up of two separate subseries that alternate:

  1. A series of numbers (the odd terms) that increase by 5 (5, 10, 15).

First of all, in order to simplify the calculations we can divide all the numbers by a common denominator: 1000, in that way we can get rid of all those annoying zeroes. Now we define the used cars as U (with a price of 7 each) and the new cars as N (with a price of 16 each) Now we can build two equations, the first representing the total price and the second the total amount of cars: a. 7U+16N= b. N+U= 17 So according to the second equation N = 17-U, and we can now substitute N in the first equation: 7U+16(17-U)=191 ; 7U+272-16U=191 ; 9U=81 ; U=9. 9 used cars were sold. Solving Tip: You could try solving this question by elimination. For starters, since 191 is an odd number and 16 is an even number, then the number of used cars must be odd (even+odd=odd) - which means we can eliminate answers A, D & E. Now that we are left only with B and C, let's try to calculate it for each of these options: . 37 + 16(17-3) = 245, which means we can eliminate B as an answer. . 57 + 16(17-5) = 227, which means we can eliminate C as an answer. Therefore, the only possible answer is F - none of the above. Joey got a 25% raise to his salary. If his original salary was $1,200, how much was it after the raise was implemented? A. $ B. $ C. $ D. $ E. $ F. None of these - answer- The correct answer is (B). 25% equals one quarter and a quarter of 1200 is 1200/4=300. Therefore, an addition of a quarter to 1200 equals 1200+300=1500.

Arrange the following words so that they make a complete sentence. Is the rearranged sentence true or false? Triangle A sides three has A. True B. False - answer- The sentence is: A triangle has three sides, which is true. ________ is to JUICE as WHEAT is to BREAD A. Water B. Pitcher C. Supermarket D. Soda E. Orange - answer- The correct answer is (E). An orange is used to produce juice like wheat is used to produce bread. In addition, both wheat and oranges must be processed to produce the final product. This eliminates answer (A). Does FAQ mean "frequently asked questions"? A. Yes B. No - answer- Yes, FAQ is the acronym for "frequently asked question". ATTRACTION is the opposite of: A. Disgust B. Inclination C. Fascination D. Inducement E. Lust - answer- The correct answer is (A). Attraction is a word used to describe the power of drawing, alluring or enticing while disgust is a word used to describe a feeling of loathing that causes aversion.

If the first two statements are true, is the final statement true? Dave spoke with Sally. Sally spoke with John. Dave did not speak with John. A. Yes B. No C. Uncertain - answer- The correct answer is (C) - It is uncertain whether the last statement is true. The first 2 statements do not tell us anything about Dave talking to John, therefore we cannot know if it is true or not. In the following set of words, which word does not belong? A. Affirmation B. Designation C. Approval D. Authorization E. Permission - answer- The correct answer is (B). Designation is the act of indicating, while the other words mean confirmation. ________ is to CLEANING as MEDICINE is to CURING A. Chore B. Dirt C. Soap D. Germs E. Shiny - answer- The correct answer is C). Soap is used for cleaning as medicine is used for curing Which one has the biggest diameter? A. The sun B. The moon C. Earth D. Venus E. A basketball - answer- The correct answer is (A). The sun has a diameter over than 100 times larger than earth, which has a diameter larger than the all the other answers.

Sam and Edna have 56 marbles together. Edna has 6 times more marbles than Sam. How many marbles does Sam have? A. 8 B. 12 C. 32 D. 46 E. 49 F. None of these - answer- The correct answer is (A). If Edna has 6 times more marbles than Sam, we can define Sam as X and Edna as 6X, and build the following equation: X+6X=56, therefore X=8. 17 out of 20 lung diseases are curable; what is the percentage of lung diseases that are curable? A. 17% B. 72% C. 85% D. 87% E. 90% F. None of these - answer- The correct answer is (C). In order to find out how much is 17 out of 20 in percentage, we need to reach a denominator of 100 (a percent is simply a fraction with a denominator of 100). In order to do this we multiply the fraction 17/ by 5 and reach 85/100 which is 85%. AFFLUENT WEALTHY - The meanings of these words are:

  1. Similar
  2. Contradictory
  3. Neither similar nor contradictory - answer- The correct answer is (A). Both affluent and wealthy mean having a great deal of resources or money. Therefore, the words are similar in meaning.

A. 1

B. 2

C. 3

D. 4

E. 5 - answer- The correct answer is (D). The exact duplicates are: 3356; 7776145; 865656; 71829 In the following set of words, which word is different from the others? A. Solemn B. Archaic C. Grave D. Mirthless E. Serious - answer- The correct answer is (B). Archaic is a word used to describe something that belongs to an earlier period of time, while the other words are used to describe sad and gloomy states of mind or facial expressions. How many of the five pairs listed below are exact duplicates? 123A3 122A LLO8761 LLO KKA3213 KKA ORR13726B ORR13726B 12AB12AB1 12AB1AB A. 1 B. 2 C. 3

D. 4

E. 5 - answer- The correct answer is (B). The exact duplicates are: LLO8761, ORR13726B If the first two statements are true, is the final statement true? All dogs have a brown leg. Barky has a brown leg. Barky is a dog. A. True B. False C. Uncertain - answer- The correct answer is (C). The fact that every dog has a brown leg doesn't mean that each creature with brown leg is a dog. John's monthly salary is $7,000. If John deposits 0.75 of his paycheck into a savings account. How much money does he put in his savings account every month? A. $4, B. $4, C. $5, D. $ 6,250 - answer- The correct answer is (C). In order to find how much money he puts in his savings account, we need to find how much is 0.75 of $7,000: (75/100)×7000 = $5,250. Solving Tip: If multiplying 7,000 × 0.75 seems to be a bit too difficult, we can also use estimations and eliminate wrong answer choices. Let's round 0.75 down to 0.70, while keeping in mind that the correct answer must be slightly larger than the result. 7,000×0.70= 7,000×(70/100)

B. $ 4265.

C. $ 4687.

D. $ 5109.02 - answer- The correct answer is (B). If John's gross pay was $4687.24 and $421.78 was deducted from that amount, John's take-home pay was: $4687.24 - $421.78 = $4265.46. A motorcyclist rode between Flibbertown and Guinevill at a steady pace of 60 miles per hour for 2 hours. After two hours she accelerated to 65 miles per hour for another full hour. What is the distance between those cities? A. 150 miles B. 180 miles C. 165 miles D. 185 miles E. None of the above - answer- The correct answer is (D). In order to solve the question, we need to separate the two stages. The first stage is: the two-hour ride at a rate of 60 mph; the second stage is the one-hour ride at a rate of 65 mph. Time (hours) Speed Distance Stage 1 3 X 3X Stage 2? 2X 3X If we sum up the distance of both stages, we will find the distance between the cities. The first stage is calculated using the formula Time * Speed = Distance: 2 hours X 60 miles per hour=120 miles The second stage is calculated using the same formula: 1 hour X 65 miles per hour=65 miles

Therefore, the total distance between the cities is 120 miles + 65 miles = 185 miles. In the stock market, four different stocks have an average price of $100 per stock. The price of a Drone stock is $70. What is the average price of the three other stocks (not including the Drone stock)? A. 107 B. 110 C. 112 D. 117 E. Cannot say - answer- The correct answer is (B). In order to calculate an average, we have to know the sum of the individual values, and the number of individuals. We know that there are four different stocks, so the number of individuals is four (Number of individuals). Now, find the sum of the prices of all the stocks (Sum of the individuals' value). We can calculate the sum of the group's value with the average of the values: Sum of all the values ------------------------ = Average Number of Values Let's insert the figures that we know into the formula. Sum of all values ---------------------- = 100 Dollars 4 Sum of all values = 400 Dollars The average of the 4 stock prices is $100, and therefore the sum of the stock prices is $400.

In the following set of words, which word is different from the others? A. Inflation B. Interest C. Debt D. Budget E. Drought - answer- The correct answer is (E). All of the other answers are closely related to money, while drought is related to the weather/climate. This question is confusing because a drought can bring on financial difficulties to a country, causing inflation and debt, but a drought is simply a period of dry weather. Which alternative includes all the states that border Oklahoma? A. Texas, New Mexico, Arkansas, Missouri, Kansas, Colorado B. Texas, Arkansas, Missouri, Kansas, Louisiana, Colorado C. Texas, New Mexico, Mississippi, Missouri, Kansas, Colorado D. Texas, New Mexico, Kansas E. Texas, Arkansas, Missouri, Kansas, Colorado - answer- The correct answer is A. Six states border Oklahoma: In the north - Kansas and Colorado In the south - Texas In the east - Arkansas and Missouri In the west - New Mexico COMPLACENT COMPLIANT - The meanings of these words are: A. Similar B. Contradictory C. Neither similar nor contradictory - answer- The correct answer is (A). Complacent and compliant both mean "pleasant." Arrange the following words to make a complete sentence. What comes just before the word "by?"

suitcase by managed the carry to himself Mike A. Himself B. Managed C. Carry D. Suitcase E. To - answer- The correct answer is (D). The sentence should read: "Mike managed to carry the suitcase by himself." Therefore, the word that comes before the word "by" is "suitcase." Solving tip: There is one capitalized word in this sentence and it is "Mike." Therefore, it is the first word in the sentence and it is the subject of the sentence. The following word after a subject will probably be a verb or a "to be" verb, thus the only word which fits afterwards is "managed." In addition, the word that comes after the word "by" has to be the word "himself." Abundant is the opposite of: A. Ample B. Meager C. Sufficient D. Overflowing E. Lavish - answer- The correct answer is (B). "Abundant" is an adjective meaning "plentiful" while "meager" is an adjective meaning "not enough." Therefore, the words are opposite in meaning. Answers (A), (D), and (E) are synonyms of "abundant." While answer (C) is related to "abundant," it is neither a synonym nor an antonym of it.

The chances of finding an officer who carries both a gun and a club are high. A. Yes B. No C. Cannot say - answer- The correct answer is (C), cannot say. Although most officers carry a club, we do not know how many of them carry a gun. Therefore, we cannot reach any conclusions about the probability of finding an officer carrying both a gun and a club. What is the following number in the series? 0.18 -- 0.36 -- 0.72 --? -- 2. A. 0. B. 1. C. 1. D. 1.62 - answer- The correct answer is (C). Each term is double the previous term. 0.18 x 2 = 0. 0.36 x 2 = 0. 0.72 x 2 = 1. 1.44 x 2 = 2. Which THREE of the following words have similar meanings? A. Information B. Indoctrinate C. Enlighten D. School

E. Class - answer-. The correct answers are: (B) indoctrinate, (C) enlighten, and (D) school. All three words are verbs that mean "to teach." "Information" is related to the group but is a noun; therefore, it does not belong. "Class" is also related to the group, and when used as verb, it means "to arrange in a particular group" and not "to teach." Jade is 9 years older than Rose. In 4 years' time, Jade's age will be double Rose's age. What are their ages today? A. Jade is 5 years old and Rose is 14 years old B. Jade is 14 years old and Rose is 5 years old C. Jade is 2 years old and Rose is 11 years old D. Jade is 10 years old and Rose is 1 year old E. Cannot be determined - answer- The correct answer is (B). All the information given is based on the relation between Jade's age and Rose's age. Let's denote Jade's age by X and Rose's age by Y. "Jade is 9 years older than Rose " - we can translate this information into an equation. X = Y + 9 Unfortunately, an equation with two variables is not solvable unless we have another equation. "In 4 years' time, Jade's age will be double Rose's age" - the second sentence also represents a relation. It means that in 4 years Jade's age will be X+4 and will be double Rose's age, which will be Y+4. Look at the equation below: X + 4 = 2 (Y + 4) Now we have two different equations with 2 variables. The first variable (X) is isolated in the first equation so we can insert its value in the second equation by denoting X as an expression of Y. (Y + 9) + 4 = 2(Y + 4)