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q: Find the mean proportional between 64 & 81? Options: (A) A) 59 (B) B) 61 (C) C) 63 (D) D) 72 (E) E) 67 a: Stream of consciousness: Formula = ⁇ a ⁇ b A = 64 and B = 81 ⁇ 64 ⁇ 81 = 8 ⁇ 9 = 72 The answer is (D). question: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3... | Stream of consciousness: The lattice points that are in the circle that lie on the perspective axes is as follows: since the diameter is 8, 9 points lie on the horizontal axis (8 + center), but the end points are not in the circle, so 9 - 2 (the same for the vertical axis, but don't count center again), 7 - 1. The latt... | cot |
[Question]An online newspaper had listed 100 visitors in October. The number of visitors in November increased by 15%. There were 15 more visitors in December than in November. What is the total number of visitors for these three months? [Answer]There was an increase of 100 x 15 / 100 = 15 visitors in November. So, the... | There are 60 minutes in an hour so 1 hour 30 minutes is equivalent to [1 + (30 / 60)] hours = 1.5 hours. There are 7 days in a week so he spends 1.5 * 7 = 10.5 hours jogging every week. After 2 weeks he will have spent 2 * 10.5 = 21 hours jogging. The answer is 21. | cot |
Question: Paul has five dogs. For every 10 pounds they weigh, they need 1 pound of dog food per day. One weighs 20 pounds. One weighs 40. Another weighs 10. One weighs 30 and the final one weighs 50 pounds. How much dog food does he need each day? Answer: The dog’s total weight is 150 because 20 + 40 + 10 + 30 + 50 = 1... | Five hotdogs cost 5 x $1.50 = $7.50. Three salads cost 3 x $2.50 = $7.50. The total cost was $7.50 + $7.50 = $15. And, Ursula had 2 x $10 = $20. Therefore, Ursula got a change of $20 - $15 = $5. The answer is 5. | cot |
q: 189. The inside dimensions of a rectangular wooden box are 8 inches by 10 inches by 12 inches. A cylindrical canister is to be placed inside the box so that it stands upright when the closed box rests on one of its six faces. Of all such canisters that could be used, what is the radius, in inches, of the one that ha... | Stream of consciousness: Plug in an even integer for x; in this case 2 Plug in an odd integer for y; in this case 1 2+1 = 3 Odd 2+(2*1) = 4 Even (3*2)+1 = 6 + 1 = 7 Odd 2+(1 ⁇ 2) = 2 + 1 = 3 Odd 2+1+2 = 5 Odd The answer is (B). -- | cot |
QUESTION: Would Jolly Green Giant's largest monument look impressive next to Pyrenees? Please give rationale first, then the answer. ANSWER: The Jolly Green Giant monument in Blue Earth, Minnesota is 55.5 feet tall. The Pyrenees mountains are 11,168 feet high. The Pyrenees mountains are 305 miles wide.. The answer is: ... | Operation Barbarossa was the Nazi advance on Russia during World War II. Operation Barbarossa was a failure that resulted in Nazi Germany being pushed back by a Soviet counter offensive. Operation Barbarossa was named after Holy Roman Emperor Frederick Barbarossa. On his final expedition, Frederick Barbarossa drowned w... | cot |
Q: Chad bought 6 packages of cat food and 2 packages of dog food. Each package of cat food contained 9 cans, and each package of dog food contained 3 cans. How many more cans of cat food than dog food did Chad buy? A: Chad's cat food total was 6 packages * 9 cans = 54 cans of cat food. Chad's dog food total was 2 packa... | The first three siblings are 66 + 66 + 60 = 192 inches tall. Since the total of all the siblings is 330 inches, Eliza and the last sibling are 330 - 192 = 138 inches tall combined. If Eliza's height = h, 138 inches = h + (h + 2). (138 - 2) / 2 = 68 inches. Eliza is 68 inches tall. The answer is 68. | cot |
Question: Charles is moving from Springfield, which has 482,653 people, to Greenville, which has 119,666 fewer people. What is the total population of Springfield and Greenville? Answer: Greenville has 482,653 - 119,666 = 362,987 people. So, the total population of Springfield and Greenville is 482,653 + 362,987 = 845,... | Selena was charged $24 x 2 = $48 for the steaks. She was charged $3.5 x 2 = $7 for the burgers. She was charged $2 x 3 = $6 for the cups of ice cream. She was charged $48 + $7 + $6 = $61 in total. Therefore, Selena was left with $99 - $61 = $38. The answer is 38. | cot |
Question: A warehouse store sells cartons of gum. Each carton contains 5 packs of gum, and there are 3 sticks of gum in each pack. Each brown box contains 4 cartons of gum. How many sticks of gum are there in 8 brown boxes? Answer: 5 packs of gum contain 5 * 3 = 15 sticks of gum. If each brown box contains 4 cartons, 8... | The roses cost 150 * 20 = $3000. The gardener works 4 * 5 = 20 hours. So the gardener charges 30 * 20 = $600. The soil added another 5 * 100 = $500. So in total the cost was 3000 + 600 + 500 = $4100. The answer is 4100. | cot |
question: If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 4 and 5K + 1 is 63, what is the value of K? Options: (A) 22 10/11 (B) 15 3/4 (C) 22 (D) 23 (E) 25 3/10 answer: Stream of consciousness: K + 2K +3 + 3K - 4 + 5K +1 = 11K (11K -1)/4 = 63 11K = 63 * 4 = 252 K = 252 / 11 = 22 10/11 The answer is... | Stream of consciousness: Number of females = 156800 ⁇ 100 ⁇ 80 = 196000 ⁇ Number of males = 7 ⁇ 8 ⁇ 196000 = 171500 ⁇ Total population = 196000 + 171500 = 367500 The answer is (B). | cot |
[Question]: Do Bing (search engine) searches earn the searcher more than competitors do? [Answer]: Chain of thought: Bing (search engine) has a search rewards program that gives the user points, from conducting searches, to redeem for prizes. Bing (search engine) has several competitors such as Google, and DuckDuckGo. ... | Chain of thought: An urban legend is a humorous or horrifying story based on hearsay that is circulated as true. E.T. the Extra Terrestrial was panned as one of the worst video games ever made. A widespread story stated that thousands of copies of E.T. the Extra Terrestrial video game were buried in a landfill. A forme... | cot |
Q: Alani earned $45 for 3 hours of baby-sitting. At the same rate, for how many hours would she need to baby-sit to earn $75? A: The rate is $45 / 3 = $15 / hr. She would need to baby - sit for $75 / $15 = 5 hours. The answer is 5. Question: Karen had the giant box of crayons, containing twice as many crayons as were i... | Kelly held her breath for 3 minutes, or 3 * 60 = 180 seconds. Brittany held her breath for 20 seconds less time than Kelly did, or 180 - 20 = 160 seconds. And Buffy held her breath for 40 seconds less time than Brittany did, or for 160 - 40 = 120 seconds. The answer is 120. | cot |
Question: In the park, the first rose bush has 12 red flowers. The second rose bush has 18 pink flowers. The third rose bush has 20 yellow flowers. The fourth rose bush has 8 orange flowers. For her vase, Lorelei picks 50% of the red roses, 50% pink roses, 25% of the yellow roses, and 25% orange roses. How many roses a... | He ate 2 * 1 = 2 pounds of broccoli. There are 51 / 3 = 17 calories in each pound of broccoli. So he ate 2 * 17 = 34 calories of broccoli. He ate 1 * 51 = 51 calories of carrots. So in total he ate 51 + 34 = 85 calories. The answer is 85. | cot |
[Question]Stephanie is planning dinners to cook for the week and needs to figure out how much of each ingredient she should buy at the grocery store. She is making three recipes that call for lower sodium soy sauce as a main ingredient. One bottle of lower sodium soy sauce holds 16 ounces. There are 8 ounces in 1 cup. ... | Ten seats amount to $30 x 10 = $300. So there is $300 x 10 / 100 = $30 discount for each 10 seats purchased. Thus, the total cost for every 10 seats is $300 - $30 = $270. The school is going to buy 5 x 8 = 40 seats. This means that the school is going to buy 40 / 10 = 4 sets of 10 seats. Therefore, the school will pay ... | cot |
Question: Julia has $40. She spends half of her money to buy a new game for her phone. She spends a quarter of what she has left on in-game purchases. How much money does she have left? Answer: Julia spend $40 / 2 = $20 on the game. After buying the game, she has $40 - $20 = $20 left. She spent $20 / 4 = $5 on in - gam... | We have to know how many MB are 360GB, 360GB x 1,000MB / 1GB = 360,000 MB. The total seconds downloading will be 360,000MB ⁇ 50MB / second = 7,200 seconds. So she has to wait 7,200 seconds ⁇ 3,600 seconds / 1 hour = 2 hours. The answer is 2. | cot |
Problem:Context: Inspector Gadget is a 1999 American action-comedy film directed by David Kellogg, written by Kerry Ehrin and Zak Penn from a story by Ehrin and Dana Olsen. It is loosely based on the 1983 animated cartoon series of the same name. It stars Matthew Broderick as the title character, along with Rupert Ever... | OK... The relevant information to answer the above question is: The origins of Judaism lie in the Bronze Age polytheistic Ancient Semitic religions, specifically Canaanite religion, a syncretization with elements of Babylonian religion and of the worship of Yahweh reflected in the early prophetic books of the Hebrew Bi... | cot |
Q: If John travels 15 miles on a bike ride, and Jill travels 5 miles less, how many miles does Jim travel if he travels only 20% as far as Jill? A: To find how far Jim travels, we must first find out how far Jill did. To do this, we perform 15 - 5 = 10 miles in total for Jill. We then multiply 10 * .20 = 2 miles in tot... | Danielle started with two dozen roses, or a total of 2 * 12 = 24 roses. Her trade added another dozen roses, for a total of 12 + 24 = 36 roses. The first night, half of the roses wilted, leaving 36 / 2 = 18 roses. On the second night, again half of the remaining roses wilted, leaving 18 / 2 = 9 unwilted roses. The answ... | cot |
Question: A store decides to shut down and sell all of its inventory. They have 2000 different items which would normally retail for $50. They are offering an 80% discount and manage to sell 90% of the items. They owed $15000 to their creditors. How much money do they have left after the sale? Answer: They sold 2000 * ... | Nicole ate 2 / 5 of the total number of cookies, which is 2 / 5 * 600 = 240. The total number of cookies that remained in the box after Nicole ate 240 is 600 - 240 = 360. Eduardo then ate 3 / 5 of the remaining cookies, a total of 3 / 5 * 360 = 216 cookies. The total number of cookies that remained after Eduardo ate 21... | cot |
Problem:The series is set in the Tipton Hotel in Boston and centers on Zack Martin and Cody Martin (Dylan and Cole Sprouse), troublesome twins who live at the Tipton Hotel. The series' other main characters include the Tipton hotel's ditzy heiress London Tipton (Brenda Song), the hotel's candy counter girl Maddie Fitzp... | OK... The relevant information to answer the above question is: The founding members of Genesis, singer Peter Gabriel, keyboardist Tony Banks, guitarist Anthony Phillips, bassist and guitarist Mike Rutherford, and drummer Chris Stewart, met at Charterhouse School, a private school in Godalming, Surrey. singer Peter Gab... | cot |
[Question]Doris earns $20 per hour by babysitting. She needs to earn at least $1200 for her monthly expenses. She can babysit for 3 hours every weekday and 5 hours on a Saturday. How many weeks does it take for Doris to earn enough to cover her monthly expenses? [Answer]Doris babysits for a total of 5 weekdays x 3 hour... | There were 90 - 24 = 66 jellybeans in the jar after Samantha snuck some. There were 66 - 12 = 54 jellybean in the jar after Shelby ate some. Samantha and Shelby took 24 + 12 = 36 jellybeans from the jar. Shelby refilled the jar with 36 / 2 = 18 jellybeans. There are 54 + 18 = 72 jellybeans in the jar. The answer is 72. | cot |
[Question]Kenneth has $50 to go to the store. Kenneth bought 2 baguettes and 2 bottles of water. Each baguette cost $2 and each bottle of water cost $1. How much money does Kenneth have left? [Answer]The cost of the baguettes is 2 ⁇ $2 = $4. The cost of the water is 2 ⁇ $1 = $2. The total cost of the shopping is $4... | Each raised bed is 8 feet long, the same as the planks, so the long sides of the beds will each be 1 plank long. Each raised bed is 2 feet wide, or 2 / 8 = 1 / 4 the length of the planks, so the short sides will each be 1 / 4 plank long. Each bed is 2 feet tall, and the planks are 1 foot wide, so each side will need 2 ... | cot |
Q: Sally reads 10 pages of a book on weekdays and 20 pages on weekends. If it takes 2 weeks for Sally to finish her book, how many pages that book has? A: Two weeks has 5 * 2 = 10 weekdays. Two weeks has 2 * 2 = 4 weekends. On weekdays, she reads 10 * 10 = 100 pages in total. On weekends, she reads 20 * 4 = 80 pages in... | First find Devin's new height by adding his growth to the original height: 65 inches + 3 inches = 68 inches. Then subtract 66 inches from Devin's height to find how many extra inches of height he has: 68 inches - 66 inches = 2 inches. Then multiply the number of extra inches by the percentage increase per inch to find ... | cot |
[Question]The leak in Jerry's roof drips 3 drops a minute into the pot he put under it. Each drop is 20 ml, and the pot holds 3 liters. How long will it take the pot to be full? [Answer]First find the pot's volume in ml: 3 liters * 1000 ml / liter = 3000 ml. Then find the number of ml that enter the pot per minute: 3 d... | First find the net amount of ivy Cary removes each day by subtracting the ivy's growth from the amount she removes: 6 feet / day - 2 feet / day = 4 feet / day. Then divide the total feet of ivy by the net amount Cary removes each day to find how many days it takes her to remove all the ivy: 40 feet / 4 feet / day = 10 ... | cot |
Q: Joseph drives his car at 50 mph for 2.5 hours. Kyle drives his car at 62 mph for 2 hours. How many more miles does Joseph drive than Kyle? A: Joseph travels for 50 * 2.5 = 125 miles. Kyle travels for 62 * 2 = 124 miles. Joseph drives for 125 - 124 = 1 mile more than Kyle. The answer is 1. Question: An NGO contracted... | Each tree A gives her six good oranges a month 10 x .6 = 6. Each tree B gives her five good oranges a month because 15 x (1 / 3) = 5. On average, a tree gives her 5.5 oranges a month because .5(6) + .5(5) = 5.5. She has ten total trees because 55 / 5.5 = 10. The answer is 10. | cot |
Student A:The idiom is a metaphor for the common behaviour of responding disproportionately to something-usually an adverse circumstance. One who "makes a mountain out of a molehill" is said to be greatly exaggerating the severity of the situation. In cognitive psychology, this form of distortion is called magnificatio... | OK... The relevant information to answer the above question is: It tells the story of Chris "Izzy" Cole, a tribute band singer whose ascendance to the position of lead vocalist of his favourite band, which was inspired by the real-life story of Tim "Ripper" Owens, singer in a Judas Priest tribute band who was chosen to... | cot |
Question: It starts raining at 7:00 and pours heavily until its stops at 17:00 on a particular day. On the second day, the rain takes 2 more hours than it took on the first day to stop. On the third day, the rain pours for twice the amount of time it took on the second day. Calculate the total time it was raining in th... | They sell twice as much raspberry jelly as plum jelly, so they sold 2 * 6 = 12 jars of raspberry jelly today. The raspberry jelly sells a third as much as the grape jelly, so they sold 12 * 3 = 36 jars of grape jelly today. The grape jelly sells twice as much as the strawberry jelly, so they sold 36 / 2 = 18 jars of st... | cot |
Student A:Death Wish is a 1974 American vigilante action film, loosely based on the 1972 novel of the same title by Brian Garfield. The film was directed by Michael Winner and stars Charles Bronson as Paul Kersey, an architect who becomes a vigilante after his wife is murdered and his daughter sexually assaulted during... | OK... The important part for answering this question is: In a two-point conversion attempt, the team that just scored must run a play from scrimmage close to the opponent's goal line (5-yard line in amateur Canadian, 3-yard line in professional Canadian, 3-yard line in amateur American, 2-yard line in professional Amer... | cot |
Q: John gave his fiancee a $4000 ring on their engagement day, a $2000 car as a gift on their wedding day, and a diamond brace twice as expensive as the ring he gave her during the engagement. What's the worth of the presents John gave to her fiancee? A: If John gave his fiancee a $4000 ring on their engagement day, a ... | He buys 2 and a half dozen donuts so that's 2.5 * 12 = 30 donuts. He eats 10% of the donuts on his way to work so he eats .10 * 30 = 3 donuts. He bought 30 donuts and ate 3 so that leaves 30 - 3 = 27 donuts. Once inside, he grabs another 4 donuts of his afternoon snack so that leaves 27 - 4 = 23 donuts for his co - wor... | cot |
Question: Frank wants to buy a new lamp for his bedroom. The cost of the cheapest lamp is $20, and the most expensive in the store is 3 times more expensive. How much money would Frank have remaining, if he currently has $90, and he buys the most expensive lamp available? Answer: The most expensive lamp cost 20 * 3 = $... | On Monday, Joanna reads 3 * 16 = 48 pages. On Tuesday, Joanna reads 6.5 * 16 = 104 pages. So far, she has read 48 + 104 = 152 pages. Thus, she has 248 - 152 = 96 pages left. She will need to read for 96 / 16 = 6 hours to finish the book. The answer is 6. | cot |
Question: Toby has two rectangles of cloth. The first is 4 inches wide and 5 inches tall. The second is 3 inches wide and 6 inches tall. How many more square inches is the area of the first compared to the second? Answer: The first has an area of 20 square inches because (4 x 5) = 20. The second has an area of 18 squar... | If the business's stock price rises 30%, then his share on the company is worth 30% multiplied by $2000 plus $2000 that he already had. That results in 30% * $2000 + $2000 = $600 + $2000 = $2600. Since he already had $300, with $2600 more he will have $300 + $2600 = $2900. The answer is 2900. | cot |
Question: Tatuya, Ivanna, and Dorothy took a quiz together. Tatuya scored twice as much as Ivanna, and Ivanna scored 3/5 times as many marks as Dorothy. If Dorothy scored 90 marks, calculate the average marks scored by the three. Answer: Since Dorothy scored 90 marks, and Ivanna scored 3 / 5 times as many marks, Ivanna... | For the first three baskets, the number of apples and oranges in one basket is 9 + 15 = 24. In total, together with bananas, the number of fruits in one basket is 24 + 14 = 38 for the first three baskets. Since there are three baskets each having 38 fruits, there are 3 * 38 = 114 fruits in the first three baskets. The ... | cot |
[Question]There are 70 cookies in a jar. If there are only 28 cookies left after a week, and Paul took out the same amount each day, how many cookies did he take out in four days? [Answer]Paul took out a total of 70 - 28 = 42 cookies in a week. Paul took out 42 / 7 = 6 cookies out of the jar each day. Over four days, P... | A gallon of milk makes $3 worth of butter because 2 x 1.5 = 3. A gallon of milk sells for the same amount as milk or butter because 3 = 3. She gets 48 gallons of milk because 4 x 12 = 48. She earns $144 selling the milk because 48 x $3 = 144. The answer is 144. | cot |
[Question]The total number of employees in a company is 450, and each employee earns $2000 per month. If the company laid off 1/3 of its employees due to tough economic times, calculate the total amount of money the company paid to the remaining employees. [Answer]1 / 3 of the employees were laid off, that is 1 / 3 * 4... | Jackson spent a total of 2 * 2 = 4 hours vacuuming. This means he earned 4 * $5 = 20 dollars from vacuuming. He earned 0.5 * $5 = 2.5 dollars from washing dishes. Cleaning the bathroom took three times as long as the dishes, so he spent 0.5 * 3 = 1.5 hours in the bathroom. This means he earned 1.5 * $5 = $7.5 from clea... | cot |
Q: Mrs. Amaro has 80 roses in her garden. Three-fourths of her roses are red, one-fourth of the remaining are yellow, and the rest are white. How many of Mrs. Amaro's roses are either red or white? A: Mrs. Amaro has 80 x 3 / 4 = 60 red roses. So, 80 - 60 = 20 roses are not red. Then, 20 x 1 / 4 = 5 of those 20 non - re... | Margaret finished all of her laps in 10 minutes * 60 seconds = 600 seconds. Billy’s first 5 laps took 2 minutes * 60 seconds = 120 seconds. His next 3 laps took 4 minutes * 60 seconds = 240 seconds. His ninth lap took 1 minute * 60 seconds = 60 seconds. So his first 9 laps took 120 + 240 + 60 = 420 seconds. Billy finis... | cot |
Q: Shyne can grow 14 eggplants in every seed packet and 10 sunflowers in every seed packet. She bought 4 seed packets of eggplants and 6 seed packets of sunflower, how many plants can Shyne grow in her backyard? A: Shyne can grow 14 x 4 = 56 eggplants. She can grow 10 x 6 = 60 sunflowers. So, she can grow a total of 56... | 3 children rode the Ferris wheel at $5 reach for a total of 3 * $5 = $15. 5 children rode the merry - go - round at $3 each for a total of 5 * $3 = $15. 5 children bought 2 cones of ice cream each at $8 per cone for a total of 5 * 2 * $8 = $80. In total, they spent $15 + $15 + $80 = $110. The answer is 110. | cot |
Problem:In the men's Division I, the lowest-seeded team ever to reach this round in the modern 64 team tournament era was # 12 Missouri in 2002, who upset # 5-seed Miami (Florida), # 4-seed Ohio State, and # 8-seed UCLA before losing to # 2-seed Oklahoma in the West regional that year. Eight # 11 seeds have advanced to... | OK... To answer the above question, the relevant sentence is: Benefits included dedicated payments of tuition and living expenses to attend high school, college or vocational / technical school, low-cost mortgages, low-interest loans to start a business, as well as one year of unemployment compensation. dedicated payme... | cot |
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