Questions and Answers
Find a positive number which when increased by 11 is equal to 60 times the reciprocal of the number? (Select one)
If x and y are two whole numbers such that $x^y = 121$, what would be the value of $(x−1)y−1$? (Select one)
A ladder of a certain fixed length leans against a wall forming a 60° angle between the ground and the ladder. If the bottom of the ladder is 10 feet away from the wall, how long is the ladder? (Select one)
An angle is equal to one fourth of its supplement. What would be the measure of that angle? (Select one)
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The complement of an angle exceeds the angle by 60°. What would the angle be? (Select one)
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If the difference between the two acute angles of a right triangle is 10°, what will be the measure of the smaller one? (Select one)
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A circle is inscribed in a square of area 4. What will be the area of the circle? (Select one)
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The circumference of a circle is $xπ$ units and the area of the circle is $yπ$ units. If $x = y$, what would be the radius of the circle? (Select one)
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If A is the area and C is the circumference of the circle, which of the following shows the relation of A in terms of C? (Select one)
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If there are 1050 students in a school and the ratio of boys to girls is 9:5, what is the number of boys in the school? (Select one)
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Twice the price of a scooter is equal to thrice the price of a television. If the price of the scooter is $600 more than the television, what is the price of the television? (Select one)
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In a college, the ratio of the number of boys to girls is 8:5. If the number of boys is 160, what will be the total number of students in the college? (Select one)
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In two successive years, the population of a town is decreased by 20% and 30%. What percent population is decreased after two years? (Select one)
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If 200% of a number is 90, what is 80% of that number? (Select one)
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If the radius of a sphere is increased by 10%, what is the increase in surface area? (Select one)
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A student has to score 15% marks to pass an exam. If he gets 80 marks and fails by 70 marks, what are the maximum marks set for the exam? (Select one)
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The average of five consecutive numbers is 30. What will be the largest number of these? (Select one)
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The mean of 100 observations was calculated as 40, but one observation was misread as 83 instead of 53. What will be the correct mean? (Select one)
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If two dice are thrown simultaneously, what is the probability of getting a sum of 7 or 11? (Select one)
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If heat is added to a liquid, which of the following occurs? (Select one)
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What could be the major possible cause of epilepsy according to the information provided? (Select one)
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If we add oil, water, and sweet syrup in a bottle, why do liquid layers form and not mix? (Select one)
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Study Notes
Mathematics Problems
- Identifying a positive number that, when increased by 11, equals 60 times its reciprocal: Answer is 4.
- For whole numbers x and y where x^y = 121, the value of (x−1)y−1 is 10.
- A ladder forms a 60-degree angle with the ground, and if it is 10 feet from the wall, its length is 20 feet.
- An angle equal to one fourth of its supplement measures 36 degrees.
- The complement of an angle exceeds the angle by 60 degrees, leading to an angle of 15 degrees.
Geometry and Trigonometry
- In a right triangle with two acute angles differing by 10 degrees, the smaller angle measures 40 degrees.
- A circle inscribed in a square with an area of 4 has an area of π.
- If the circumference of a circle is xπ and its area is yπ, the radius is 2 when x equals y.
- The relation of the area A of a circle in terms of circumference C is A = C²/4π.
Ratios and Proportions
- In a school with 1050 students and a boys-to-girls ratio of 9:5, the number of boys is 630.
- The ratio of boys to girls in a college is 8:5, with 160 boys leading to a total of 400 students.
- Twice the price of a scooter equals thrice the price of a television, with the television costing $1200.
Percentages and Population
- A town’s population decreases by 20% and then by 30% over two years, leading to an overall decrease of 44%.
- If 200% of a number is 90, then 80% of that number is 36.
- Increasing the radius of a sphere by 10% results in a 31% increase in surface area.
Mean and Probability
- The average of five consecutive numbers is 30; thus, the largest number is 32.
- A misread observation changes the mean from 40 to 39.7 after correcting from 83 to 53.
- The probability of rolling a sum of 7 or 11 with two dice is 2/9.
Science Concepts
- Adding heat to a liquid increases molecular motion.
- Epilepsy affects more than 500,000 individuals in the UK, commonly beginning in childhood; major causes may include brain injury.
- Liquids like oil, water, and syrup do not mix due to different densities.
Astronomical Facts
- Our star, the Sun, produces solar flares when magnetic energy is released, sending energized particles towards Earth within minutes.
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Description
Prepare for your GED with this comprehensive practice test. This quiz covers various topics including mathematics and logical reasoning. Test your skills and boost your confidence before taking the actual exam.
