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Question: Marie, the confectioner, makes 12 chocolate eggs, each weighing 10 ounces. She then packs an equal number of the eggs in 4 different gift boxes. Unfortunately, she leaves one of the boxes by the kitchen window and the afternoon sun melts everything. She tosses that box out. What is the total weight, in ounces, of the remaining chocolate eggs? Answer with step-by-step thinking: Each gift box has 12 / 4 = 3 chocolate are 12 - 3 = 9 chocolate eggs left. The remaining chocolate eggs therefore weigh 9 * 10 = 90 ounces. So the answer is 90. Question: Michael and Thomas are selling their lego collections. They agree to split any money they earn. They sell them based on how many circles are on top. Each circle costs 1 cent. They earned $5 each after selling 100 single pieces, 45 double pieces, 50 triple pieces and a number of quadruple pieces. How many quadruple pieces did they sell? Answer with step-by-step thinking: They made $10 because 2 x 5 = 10. They made $1 off single pieces because 100 x .01 = 1. They made $.9 off double pieces because 45 x .02 = .9. They made $1.5 off triple pieces because 50 x .03 = 1.5. They earned $3.4 off the first three types because 1 + .9 + 1.5 = 3.4. They earned $6.6 off the quadruple pieces because 10 - 3.4 = 6.6. They sold 165 quadruple pieces because 6.6 / .04 = 165. So the answer is 165. Question: Ken buys gummy vitamins. They are usually $15.00 per bottle at his grocery store, but they are currently 20% off. On top of that, he has 3 $2.00 coupons. How much will 3 bottles cost? Answer with step-by-step thinking: | The vitamins are $15.00 a bottle and are currently 20% off so that’s 15 * .20 = $3.00 off. The vitamins are $15.00 and they are $3.00 off so they are now 15.00 - 3 = $12.00. He has 3 $2.00 coupons so that’s 3 * 2 = $6.00 in coupons. He buys 3 bottles at $12.00 each so that’s 3 * 12 = $36.00. He has $6.00 in coupons so his vitamins will now costs 36 - 6 = $30.00. So the answer is 30. |
A road has four intersections. At the first intersection, there are 40 road signs showing different types of information mounted on the street poles. At the second intersection, 1/4 times more road signs than the first intersection are mounted on the street poles. The number of road signs at the third intersection is twice the number at the second intersection. If at the fourth intersection the number of road signs is 20 fewer than those at the third intersection, calculate the total number of road signs at the four intersections. Let's think: There are 1 / 4 * 40 = 10 more road signs at the second intersection than the first intersection. This means there are 40 + 10 = 50 road signs at the second intersection. The total number of road signs at the first and second intersection is 50 + 40 = 90. The third intersection has twice the number of road signs at the second intersection, meaning there are 2 * 50 = 100 road signs. The total number of road signs at first to the third intersection is 90 + 100 = 190 road signs. At the fourth intersection, the number is 20 fewer than at the third intersection, meaning there are 100 - 20 = 80 road signs. All four road intersections have 190 + 80 = 270 road signs in total.. The answer is: 270. Matt skips ropes 3 times per second. If he jumped for 10 minutes how many skips hops did he get? Let's think: He was skipping rope for 10 * 60 = 600 seconds. So he got 600 * 3 = 1800 skips.. The answer is: 1800. William and Harry played 15 rounds of tic-tac-toe. William won 5 more rounds than Harry. How many rounds did William win? Let's think: They played 15 rounds and William won 5 more rounds than Harry so that leaves 15 - 5 = 10 round. There are 2 players and 10 rounds so they each won 10 / 2 = 5 rounds. William won 5 more rounds than Harry and they each won 5 rounds so William won 5 + 5 = 10 rounds.. The answer is: 10. The cheerleading coach is ordering new uniforms. There are 4 cheerleaders who need a size 2, a certain number who need a size 6, and half that number who need a size 12. If there are 19 cheerleaders total, how many cheerleaders need a size 6? Let's think: | Let s be the number of cheerleaders who need a size 6 and t be the number who need a size 12. We know that s = 2t and s + t + 4 = 19. Substituting the first equation into the second equation, we get 2t + t + 4 = 19. Combining like terms, we get 3t + 4 = 19. Subtracting 4 from both sides, we get 3t = 15. Dividing both sides by 3, we get t = 5. Substituting that value back into the equation s = 2t, we get s = 2 * 5 = 10.. The answer is: 10. |
Question: Pantheism is the belief that reality is identical with divinity, or that all-things compose an all-encompassing, immanent god. Pantheist belief does not recognize a distinct personal anthropomorphic god and instead characterize a broad range of doctrines differing in forms of relationships between reality and divinity. Based on this passage, the belief that god is in everything is called? Answer: The relevant sentence in the passage is: Pantheism is the belief that reality is identical with divinity, or that all-things compose an all-encompassing, immanent god. The answer is Pantheism. Question: The Munich massacre was an attack during the 1972 Summer Olympics in Munich, West Germany, at which eleven Israeli Olympic team members were taken hostage and eventually killed, along with a German police officer, by the Palestinian terrorist group Black September. Based on this passage, where did the terrorists strike in munich germany in 1972? Answer: The relevant information to answer the above question is: The Munich massacre was an attack during the 1972 Summer Olympics in Munich, West Germany, at which eleven Israeli Olympic team members were taken hostage and eventually killed, along with a German police officer, by the Palestinian terrorist group Black September. The answer is the 1972 Summer Olympics. Question: A PT boat (short for Patrol Torpedo boat) was a torpedo-armed fast attack craft used by the United States Navy in World War II. It was small, fast, and inexpensive to build, valued for its maneuverability and speed but hampered at the beginning of the war by ineffective torpedoes, limited armament, and comparatively fragile construction that limited some of the variants to coastal waters. Based on this passage, what does the pt stand for in pt boat? Answer: To answer the question, consider the following: A PT boat (short for Patrol Torpedo boat) was a torpedo-armed fast attack craft used by the United States Navy in World War II. The answer is Patrol Torpedo. Question: Seven Pillars of Wisdom is the autobiographical account of the experiences of British soldier T.E. Lawrence ("Lawrence of Arabia"), while serving as a liaison officer with rebel forces during the Arab Revolt against the Ottoman Turks of 1916 to 1918. What is the 7 pillars of wisdom about? Answer: | The relevant information to answer the above question is: Seven Pillars of Wisdom is the autobiographical account of the experiences of British soldier T.E. Lawrence ("Lawrence of Arabia"), while serving as a liaison officer with rebel forces during the Arab Revolt against the Ottoman Turks of 1916 to 1918. The answer is autobiographical account of the experiences of British soldier T.E. Lawrence ( ⁇ Lawrence of Arabia '' ) , while serving as a liaison officer with rebel forces during the Arab Revolt against the Ottoman Turks of 1916 to 1918. |
Q: Gary is restocking the grocery produce section. He adds 60 bundles of asparagus at $3.00 each, 40 boxes of grapes at $2.50 each, and 700 apples at $0.50 each. How much is all the produce he stocked worth? A: First find the total cost of the asparagus: 60 bundles * $3 / bundle = $180. Then find the total cost of the grapes: 40 boxes * $2.50 / bundle = $100. Then find the total cost of the apples: 700 apples * $0.50 / apple = $350. Then add the cost of each type of food to find the total cost of the produce: $180 + $100 + $350 = $630. The answer is 630. Q: Celia is creating a budget for the next 4 weeks. She wants to spend no more than $100 a week on food. For rent for her apartment, she plans to spend $1500. She has $30 set aside for video streaming services for the month. She also has $50 planned for one month of cell phone usage. After she adds up all of her spending for the month she wants to set aside 10% of it to put into savings. How much money is Celia going to put into her savings account? A: Celia has budgeted $100 a week for 4 weeks for food, $100 x 4 = $400 worth of food for the month. She has one monthly cost of $1500 for her rent + $30 for video streaming services + $50 for her cell phone = $1580 of single monthly costs. Celia wants to set aside 10% of the $400 + $1580 = $1980 for her savings account. 10% of her savings account is .10 x 1980 = $198 to add to her savings account. The answer is 198. Q: They say the first year of a dog's life equals 15 human years. The second year of a dog's life equals 9 human years and after that, every year of a dog's life equals 5 human years. According to this logic, how many human years has my 10-year-old dog lived? A: | If your dog is 10 years old then in his first year of life he lived 1 * 15 = 15 human years. In his second year of life, he lived 1 * 9 = 9 human years. We need to calculate his remaining years or 10 - 2 = 8 years of dog life into human years. If 1 year of dog life after the 2 years equates to 5 human years, then 8 years of dog life equals 8 * 5 = 40 human years. In total, your dog has lived 15 + 9 + 40 = 64 human years. The answer is 64. |
Question: A normal lemon tree produces 60 lemons per year. Jim has specially engineered lemon trees that produce 50% more lemons per year. He has a grove that is 50 trees by 30 trees. How many lemons does he produce in 5 years? Answer: Step-by-step reasoning process: Each tree produces 60 * .5 = 30 more lemons than normal. So they each produce 60 + 30 = 90 lemons. He has 50 * 30 = 1500 trees. So every year he produces 1500 * 90 = 135000 lemons. That means he produces 135000 * 5 = 675,000. So the answer is 675000. Question: Milo is making a giant loaf of bread, and the recipe calls for pounds of eggs instead of telling him the number. He needs 6 pounds in total. He looks up online that an egg weighs 1/16 of a pound. If he needs 6 pounds of eggs, how many dozen should he buy? Answer: Step-by-step reasoning process: If one egg weighs 1 / 16 of a pound then 1 pound will be made up of 1 / (1 / 16) = 16 eggs. One pound of eggs is 16 eggs so 6 pounds is 6 * 16 = 96 eggs. One dozen is 12 eggs so 96 eggs will make 96 / 12 = 8 dozens. So the answer is 8. Question: James decides to use tannerite to blow things up to reveal his baby's gender. The explosion ignites both his neighbors' houses and attracts a police officer, who arrests James on two count of arson, one count of manufacturing explosives, and one count of domestic terrorism. If the arson counts each carry a 6-year sentence, the explosives sentence is twice as long as the total arson sentence, and the domestic terrorism charge's sentence is 20 years, how long might James spend in jail? Answer: Step-by-step reasoning process: First find the total sentence length for the arson: 6 years / count * 2 counts = 12 years. Then find the total sentence length for the explosives: 12 years * 2 = 24 years. Then add each sentence to find the total sentence length: 12 years + 24 years + 20 years = 56 years. So the answer is 56. Question: Chris buys 2 and a half dozen donuts on his way to work to share with his co-workers. While driving, he eats 10% of the donuts. Once inside, he grabs another 4 donuts for his afternoon snack. How many donuts are left for his co-workers? Answer: | Step-by-step reasoning process: 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 - workers. So the answer is 23. |
Q: Rs. 5000 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/5:1/5:1/10? Options: (A) 1000 (B) 992 (C) 772 (D) 552 (E) 312 A: OK... Stream of consciousness: 1/5:1/5:1/10 = 2:2:1 1/5*5000 = 1000 2000-1000 = 1000 The answer is (A). Q: Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled? Options: (A) 6 hours (B) 8 hours (C) 3 hours (D) 9 hours (E) 1 hours A: OK... Stream of consciousness: Part filled by A + B + C in 1 hour = 1/5 + 1/10 + 1/30 = 1/3 All the three pipes together will fill the tank in 3 hours. The answer is (C). Q: A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train? Options: (A) 287 (B) 699 (C) 677 (D) 168 (E) 200 A: OK... Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec Length of the train = speed * time = 50/3 * 12 = 200 m The answer is (E). Q: Which of the following is not divisible by 6? Options: (A) 10032 (B) 21192 (C) 47816 (D) 91232 (E) 72031 A: | OK... Stream of consciousness: Divisibility rule of 6: Number must be divisible by both 2 and 3 Option A: 10032, Divisible by 2. Hence divisible by 6 Option B: 21192, Divisible by 2 & 3. Hence divisible by 6 Option C: 47816, Divisible by 2. Hence divisible by 6 Option D: 91232, Divisible by 2. Hence divisible by 6 Option E: 72031, Not divisible by 2 or 3. Hence 72031 is not divisible by 6 The answer is (E). |
A no.when divided by 158 gives a remainder 50, what remainder will be obtainedby dividingthe same no.16? Options: (A) 10 (B) 11 (C) 12 (D) 13 (E) 14 Answer and stream of consciousness: (D) Stream of consciousness: 158 + 50 = 208/16 = 13 (Remainder) Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 20, and 20 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates? Options: (A) 4/11 (B) 1/2 (C) 15/22 (D) 10/1 (E) 11/4 Answer and stream of consciousness: (D) Stream of consciousness: P1 takes 12 hrs Rate for P2P3 together = 1/20 + 1/20 = 1/10 Therefore they take 10 Ratio = 10/1 = A can do a job in 12 days and B can do it in 20 days. A and B working together will finish twice the amount of work in days? Options: (A) 22 1/6 (B) 22 1/2 (C) 22 1/0 (D) 15 (E) 22 1/1 Answer and stream of consciousness: (D) Stream of consciousness: 1/12 + 1/20 = 8/60 = 2/15 15/2 = 15/2 *2 = 15 days A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 400. How much did he have with him in the beginning? Options: (A) s 200 (B) s 1000 (C) s 300 (D) s 450 (E) s 550 Answer and stream of consciousness: | (B) Stream of consciousness: Suppose the amount in the beginning was Rs ’x’ Money spent on clothes = Rs 1x/3 Balance = Rs 2x/3 Money spent on food = 1/5 of 2x/3 = Rs 2x/15 Balance = 2x/3 - 2x/15 = Rs 8x/15 Money spent on travel = 1/4 of 8x/15 = Rs 2x/15 = 8x/15 - 2x/15 = 6x/15 = Rs2x/5 Therefore 2x/5 = 400 = 1000 |
question: Amanda sees a sale for 30% off all items, she sees a dress on sale that originally cost $50. How much will it cost Amanda to buy the dress after the sale amount of 30% has been take off? Options: (A) $40 (B) $35 (C) $50 (D) $65 (E) $15 answer: Stream of consciousness: Final number = original number - 30%(original number) = 50 - 30%(50) = 50 - 15 = $35. The answer is (B). -- question: The speed of a car is 80 km in the first hour and 60 km in the second hour. What is the average speed of the car? Options: (A) 70 kmph (B) 92 kmph (C) 75 kmph (D) 65 kmph (E) 77 kmph answer: Stream of consciousness: S = (80 + 60)/2 = 70 kmph The answer is (A). -- question: A certain number when divided by 39 leaves a remainder 20, what is the remainder when the same number is divided by 13? Options: (A) 11 (B) 5 (C) 8 (D) 7 (E) 9 answer: Stream of consciousness: 39 + 20 = 59/13 = 7 (Remainder) The answer is (D). -- question: A family pays $900 per year for an insurance plan that pays 80 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total. Options: (A) $1,000 (B) $1,200 (C) $1,300 (D) $1,800 (E) $2,200 answer: | Stream of consciousness: Upfront payment for insurance plan = 900$ Family needs to pay 20 % of first 1000 $ in expense = 200$ Total amount paid by family when medical expenses are equal to or greater than 1000 $ = 900 + 200 = 1100 $ Total amount paid by insurance plan for first 1000 $ = 900 $ Total amount paid by family will equal amount paid by plan when medical expense = 1300 $ (Since insurance plan will pay 100% of amount that exceeds 1100$ ) The answer is (C). -- |
q: How much is 80% of 40 is greater than 4/5 of 25? Options: (A) 229 (B) 87 (C) 26 (D) 12 (E) 667 a: Stream of consciousness: (80/100) * 40 – (4/5) * 25 32 - 20 = 12 The answer is (D). -- q: The floor of a rectangular room is 15 m long and 12 m wide. The room is surrounded by a verandah of width 2 m on all its sides. The area of the verandah is : Options: (A) 124 m2 (B) 120 m2 (C) 108 m2 (D) 58 m2 (E) None of these a: Stream of consciousness: Area of the outer rectangle = 19 ⁇ 16 = 304 m2 Area of the inner rectangle = 15 ⁇ 12 = 180 m2 Required area = (304 – 180) = 124 m2 The answer is (A). -- q: There is a square with side ‘a’ and one octagon is inscribed in it. What will be perimeter of octagon. Options: (A) 8a/3 (B) 7a/3 (C) 5a/3 (D) a/3 (E) 11a/3 a: | Stream of consciousness: Well if it's a regular octagon then it actually trisects each side of the square in which 1/3 of the lenght of the side of the square is the length of one side of the octagon. If any one has a doubt he can draw the figure and see it Going this way lenght of a side of a octagon is a/3 and thus perimeter would be 8a/3. The answer is (A). -- |