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Questions and Answers
What is the oxidization number of sulphur in H2SO4?
If the two sides of a triangle have lengths 5 and 6, what is a possible perimeter of the triangle?
What is the resistance of a wire with a length of 10 km and a diameter of 2 mm made of material with a resistivity of 2.7 x 10^-7 Ohm metre?
What is the power of a pump that can pump 200 kg of water to a height of 200 m in 10 s? (Consider g = 10 m/s²)
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What ratio represents the times taken to fall equal heights h from a tower of height 3h?
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Which line configuration will allow parallel light rays to diverge?
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Among these options, which one is considered an odd one out?
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What is the point of intersection of a line through (1,5) and (3,9) and a line perpendicular through (0,-2)?
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What is the value of $(2 ext{Sin} A ext{Cos} A)$ in an isosceles right-angled triangle ABC where angle B = 90°?
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How much of global trade is served by shipping?
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If the average of 17 numbers is 45 while the averages of the first 9 and last 9 numbers are 51 and 36 respectively, what is the value of the 9th number?
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What is the efficiency of a machine raising a load of 200 N through 2 m with an effort of 100 N moving 8 m?
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What will be Malcom's rank from the bottom in a class of 519 students if his rank from the top is 259th?
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If a stone of mass 2 kg is dropped from a height of 4 m, what is its kinetic energy just before impact, neglecting air resistance?
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What is the arithmetic mean of 15 observations if the average of 9 observations is 100 and that of 6 observations is 80?
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In the relation between currency and country, which country uses 'Ruble' as its national currency?
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What is the height of the tower given the angle of elevation from a 25m high cliff is equal to the angle of depression to the foot of the tower?
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Which of the following is not one of the islands of Japan?
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What is the volume of a rectangular solid that has face areas of 28, 20, and 35 square centimeters?
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If an object has kinetic energy of 10 J and is acted upon by an opposing force of 5 N, what distance will it travel before coming to rest?
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What is the conjugate of the complex number (8 + 3i)²?
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Which among the following numbers is not a perfect square?
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What is the result of solving the equation 2(1+2x) – 5(4-2x) = 14 for x?
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Which country owns the global positioning system (GPS)?
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Study Notes
Mathematics
- In an isosceles right triangle, (2\sin A \cos A = \sin(2A)) leading to various options.
- Average calculations involving sums; average of 17 numbers is derived from calculated values of subsets.
- Understanding the relationship between mean and the total number of observations for problem-solving.
Physics
- Analyzing efficiency of machines: efficiency = (output work / input work) x 100%.
- Concepts of kinetic energy calculated using mass and height: KE = (mgh).
- Exploring properties of electric lines: they exist around electric charges and describe force fields.
Chemistry
- Recognition of reducing agents in reactions; elements like Calcium are common reducing agents.
- Oxidation numbers are critical for identifying the state of elements in compounds, such as sulphur in H2SO4.
General Knowledge
- Global trade is majorly served by shipping.
- Understanding currency: 'Ruble' is associated with Russia.
- The Panama Canal is a significant geographical feature that connects the Pacific and Atlantic Oceans.
Algebra
- Solving equations to find the multiplicative inverse and other values in algebraic expressions.
- Techniques for calculating area and volume from given face areas in solids.
- Ratio problems requiring understanding of proportions and percentages.
Geometry
- Angle relationships in geometry involving circles and triangle properties.
- Pythagorean theorem applications in right triangles for angle calculations.
Environmental Science
- Identify pollution as a significant threat to waterways and oceans; it's essential to understand the impact of human activities.
Biology
- Life cycle stages illustrated through examples; for instance, tadpole to frog analogies.
- Understanding food sources and livestock classifications related to agriculture.
Geography
- Recognizing major islands and countries; distinguishing Japan's islands from others.
- GPS ownership and its implications for navigation technologies.
Problem Solving Techniques
- Approaching problems methodically, using logical reasoning to deduce relationships and outcomes (e.g., positions in rankings, distance-time problems).
- Employing specific formulas or methods to find values from contextual clues (e.g., height of a tower from angle of elevation).
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Description
Test your knowledge on shipping management and basic mathematics with this quiz set. The questions cover topics such as triangle properties, global trade, electrical wiring, and averages. Challenge yourself and see how much you know about these essential subjects!
