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Stations A and B are 120 miles apart on a single-track railroad. At the same time a train leaves A for B at 25 mph, a train leaves B for A at 15 mph. Just as the first train leaves A, a South American botfly flies from the front of the engine straight toward the other train at 100 mph. On meeting the second train it immediately turns back and flies straight for the first train. It continues to fly back and forth with undiminished speed until it is crushed in the eventual collision. How far had the fly flown?
Stations A and B are 120 miles apart on a single-track railroad. At the same time a train leaves A for B at 25 mph, a train leaves B for A at 15 mph. Just as the first train leaves A, a South American botfly flies from the front of the engine straight toward the other train at 100 mph. On meeting the second train it immediately turns back and flies straight for the first train. It continues to fly back and forth with undiminished speed until it is crushed in the eventual collision. How far had the fly flown?
400 miles
A man walks one mile south, one mile west, then one mile north, ending where he began. From how many points on the surface of the earth can such a journey be made? (There are more than 1).
A man walks one mile south, one mile west, then one mile north, ending where he began. From how many points on the surface of the earth can such a journey be made? (There are more than 1).
Infinite
Maynard's Grandfather Clock is driven by two weights, one for the striking mechanism which strikes the hours only, the other for the time mechanism. When he hears the clock strike his bedtime, he immediately winds the clock and retires. After winding, the weights are exactly opposite each other. The weights are again opposite every six hours thereafter. What is Maynard's bedtime?
Maynard's Grandfather Clock is driven by two weights, one for the striking mechanism which strikes the hours only, the other for the time mechanism. When he hears the clock strike his bedtime, he immediately winds the clock and retires. After winding, the weights are exactly opposite each other. The weights are again opposite every six hours thereafter. What is Maynard's bedtime?
Assuming the sun rises at 6:00 a.m., sets at 6:00 p.m., and moves at a uniform rate, how can a lost boy scout determine south by means of a watch on a cloudless day?
Assuming the sun rises at 6:00 a.m., sets at 6:00 p.m., and moves at a uniform rate, how can a lost boy scout determine south by means of a watch on a cloudless day?
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In a fast Major League baseball game, pitcher Hi N. Outside managed to get by with the minimum number of pitches possible. He played the entire game, which was not called prior to completion. How many pitches did he make?
In a fast Major League baseball game, pitcher Hi N. Outside managed to get by with the minimum number of pitches possible. He played the entire game, which was not called prior to completion. How many pitches did he make?
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What is the least number of links that must be disengaged from a 23-link chain so that any number of links from 1 to 23 can be obtained by taking one or more of the pieces?
What is the least number of links that must be disengaged from a 23-link chain so that any number of links from 1 to 23 can be obtained by taking one or more of the pieces?
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State University won their first football game of the season 17 to 0. Though they scored no safeties, they managed to score more points each quarter than they had scored in the previous quarter. What were State's quarter scores?
State University won their first football game of the season 17 to 0. Though they scored no safeties, they managed to score more points each quarter than they had scored in the previous quarter. What were State's quarter scores?
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How many colors are necessary for the squares of a chessboard in order to assure that a bishop cannot move from one square to another of the same color?
How many colors are necessary for the squares of a chessboard in order to assure that a bishop cannot move from one square to another of the same color?
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A neat computer programmer wears a clean shirt every day. If he drops off his laundry and picks up the previous week's load every Monday night, how many shirts must he own to keep him going?
A neat computer programmer wears a clean shirt every day. If he drops off his laundry and picks up the previous week's load every Monday night, how many shirts must he own to keep him going?
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Very few people are aware of the growth pattern of Jack's beanstalk. On the first day it increased its height by 1/2, on the second day by 1/3, on the third day by 1/4, and so on. How long did it take to achieve its maximum height (100 times its original height)?
Very few people are aware of the growth pattern of Jack's beanstalk. On the first day it increased its height by 1/2, on the second day by 1/3, on the third day by 1/4, and so on. How long did it take to achieve its maximum height (100 times its original height)?
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Six boys on a hockey team pick a captain by forming a circle and counting out until only one remains. Joe is given the option of deciding what number to count by. If he is second in the original counting order, what number should he choose?
Six boys on a hockey team pick a captain by forming a circle and counting out until only one remains. Joe is given the option of deciding what number to count by. If he is second in the original counting order, what number should he choose?
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A jig-saw puzzle contains 100 pieces. A "move" consists of connecting two clusters (including "clusters" of just one piece.) What is the minimum number of moves required to complete the puzzle?
A jig-saw puzzle contains 100 pieces. A "move" consists of connecting two clusters (including "clusters" of just one piece.) What is the minimum number of moves required to complete the puzzle?
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A novice librarian shelved a twelve-volume set of encyclopedias in the following order from left to right. Volumes 8, 11, 5, 4, 9, 1, 7, 6, 10, 3, 12, and 2. Using her system, where will the annual-supplement, Volume 13, go?
A novice librarian shelved a twelve-volume set of encyclopedias in the following order from left to right. Volumes 8, 11, 5, 4, 9, 1, 7, 6, 10, 3, 12, and 2. Using her system, where will the annual-supplement, Volume 13, go?
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A lighthouse shows successive one- second flashes of red, white, green, green, white, red. A second lighthouse does the same only with two- second flashes. The six- second sequence of the first lighthouse is repeated steadily, as is the twelve-second sequence of the other lighthouse. What fraction of the time do the two lights show the same color if the given sequences start at the same time?
A lighthouse shows successive one- second flashes of red, white, green, green, white, red. A second lighthouse does the same only with two- second flashes. The six- second sequence of the first lighthouse is repeated steadily, as is the twelve-second sequence of the other lighthouse. What fraction of the time do the two lights show the same color if the given sequences start at the same time?
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How many three-digit telephone area codes are possible given that: (a) the first digit must not be zero or one; (b) the second digit must be zero or one; (c) the third digit must not be zero; (d) the third digit may be one only if the second digit is zero.
How many three-digit telephone area codes are possible given that: (a) the first digit must not be zero or one; (b) the second digit must be zero or one; (c) the third digit must not be zero; (d) the third digit may be one only if the second digit is zero.
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Three marksmen simultaneously shoot at and hit a rapidly spinning spherical target. What is the probability that the three points of impact are on the same hemisphere?
Three marksmen simultaneously shoot at and hit a rapidly spinning spherical target. What is the probability that the three points of impact are on the same hemisphere?
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Study Notes
SET 01-03 Questions
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Question Types: Problem-solving questions, involving various areas like arithmetic, geometry, logic, and puzzles. Questions involve calculations, analysis, and deduction.
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Topics: Time, distance, rates; geometry; probability, combinations; logic puzzles; mathematical problems; problem solving; percentages; time and work.
SET 04-05 Questions
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Question Types: Problem-solving, word problems, focused on various aspects of engineering and science, including measurements, estimations, and calculations.
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Topics: Unit conversions (e.g., kg/m3, cubic meters), soil properties, load factors, shrinkage factors, excavation volumes, production estimations, calculations, and problem solving.
SET 7 Questions
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Question Types: Multiple-choice mathematics and physics questions, with a focus on conceptual understanding and problem-solving.
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Topics: Fluid mechanics, flow, forces, and energy. Quantities like pressure, velocity, height, and related concepts are critical.
SET 8 Questions
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Question Types: Conceptual questions, and problem-solving questions on hydraulics and fluid mechanics.
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Topics: Fluid mechanics concepts; parameters relevant to flow problems; hydraulic formulas and calculations; and geometrical aspects of pipes, channels, etc.
SET 9 Questions
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Question Types: Problem-solving questions on various concepts of engineering fields. Focused on calculations, estimations and analysis.
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Topics: Various engineering fields; applications of formulas.
SET 10-11 Questions
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Question Types: Conceptual and problem-solving questions on various topics of civil engineering. The questions require applications of concepts, estimations, analysis, and calculations.
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Topics: Design of structures; concrete elements; various technical calculations associated with specific construction and material aspects; and problem solving.
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Description
Test your skills with this comprehensive quiz covering problem-solving questions in mathematics and physics. Topics include geometry, logic puzzles, fluid mechanics, and more. Perfect for engineering and science students looking to sharpen their analytical abilities.
