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What is the spiritual difference between two numbers if their product is 36 and their sum is 13?
What is the spiritual difference between two numbers if their product is 36 and their sum is 13?
If the greatest common divisor and least common multiple of 264, 1980, and A are 12 and 59400 respectively, what is the maximum possible value of A?
If the greatest common divisor and least common multiple of 264, 1980, and A are 12 and 59400 respectively, what is the maximum possible value of A?
In the expression (−63p^4q^5r), what is the coefficient that can be obtained through the combination of factors from (−7p^3q^2r)?
In the expression (−63p^4q^5r), what is the coefficient that can be obtained through the combination of factors from (−7p^3q^2r)?
If the average future value of a manager's assets is four times the average future value of a series of liabilities, how much will the future value of the liabilities equal in 6 years?
If the average future value of a manager's assets is four times the average future value of a series of liabilities, how much will the future value of the liabilities equal in 6 years?
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What is the value of x if $2 × 5^x = 3$?
What is the value of x if $2 × 5^x = 3$?
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For any positive integer m, what is the quotient of $3m^2 - 9$ divided by $27$?
For any positive integer m, what is the quotient of $3m^2 - 9$ divided by $27$?
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If the product of two numbers is 36 and their sum is 13, what would be the values of the two numbers?
If the product of two numbers is 36 and their sum is 13, what would be the values of the two numbers?
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In a scenario where 264 and 1980 are involved with A, if A is divisible by both 12 and 59400, what form does A take?
In a scenario where 264 and 1980 are involved with A, if A is divisible by both 12 and 59400, what form does A take?
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If the average future value of liabilities equals the current value of managers' assets, how are both values represented in terms of years?
If the average future value of liabilities equals the current value of managers' assets, how are both values represented in terms of years?
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For any integer value of m in the equation $3m^2 - 9 ext{ divided by } 27$, what is the resultant value when m is substituted?
For any integer value of m in the equation $3m^2 - 9 ext{ divided by } 27$, what is the resultant value when m is substituted?
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What is the probability that team A wins the competition if the probability of winning any one game is $\frac{8}{15}$?
What is the probability that team A wins the competition if the probability of winning any one game is $\frac{8}{15}$?
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In a class of 25 students, what is the probability that neither of the two randomly selected students is passing with a grade of C or better, given that 80% are passing?
In a class of 25 students, what is the probability that neither of the two randomly selected students is passing with a grade of C or better, given that 80% are passing?
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How many kilograms of water are needed to produce 72 kg of a concrete mixture with a gravel, water, and sand ratio of 1:3:5?
How many kilograms of water are needed to produce 72 kg of a concrete mixture with a gravel, water, and sand ratio of 1:3:5?
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What is the square root of $0.4$?
What is the square root of $0.4$?
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After applying a 10% discount on a cake priced at Rs. 800, followed by a 10% tax, what is the final selling price?
After applying a 10% discount on a cake priced at Rs. 800, followed by a 10% tax, what is the final selling price?
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In the ratio of 1 to 3 to 5 for gravel, water, and sand, if the total shift in weight changes, what fraction of water will still be maintained?
In the ratio of 1 to 3 to 5 for gravel, water, and sand, if the total shift in weight changes, what fraction of water will still be maintained?
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If 80% of students in a class are passing, what percentage represents the students who are not passing?
If 80% of students in a class are passing, what percentage represents the students who are not passing?
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If team A has an $\frac{8}{15}$ chance of winning a game, what is the probability that team A loses a game?
If team A has an $\frac{8}{15}$ chance of winning a game, what is the probability that team A loses a game?
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Identify the point and its corresponding symmetric axis from the options given.
Identify the point and its corresponding symmetric axis from the options given.
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What is the mean of the original set of numbers if subtracting 50 from them results in a new mean of 3.5?
What is the mean of the original set of numbers if subtracting 50 from them results in a new mean of 3.5?
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After a series of movements, what is the final position of Sumeet relative to his starting point?
After a series of movements, what is the final position of Sumeet relative to his starting point?
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What is the probability of Team A winning at least 2 out of 3 games in a series if their probability of winning a single game is 75%?
What is the probability of Team A winning at least 2 out of 3 games in a series if their probability of winning a single game is 75%?
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Given that 80% of students pass a test with grade C or better, what is the probability that none of the two randomly chosen students passed?
Given that 80% of students pass a test with grade C or better, what is the probability that none of the two randomly chosen students passed?
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If the symmetric axis for point (-1, -2) is x = -1, which of the following would modify the point to maintain this symmetry?
If the symmetric axis for point (-1, -2) is x = -1, which of the following would modify the point to maintain this symmetry?
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What is the average of the original dataset if subtracting 50 from each number gives a mean of 3.5?
What is the average of the original dataset if subtracting 50 from each number gives a mean of 3.5?
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Considering the positions of Sumeet's movements, which final directional movement yields the shortest distance to his starting position?
Considering the positions of Sumeet's movements, which final directional movement yields the shortest distance to his starting position?
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If Team A has a probability of winning a single game, how likely are they to win exactly one out of three games?
If Team A has a probability of winning a single game, how likely are they to win exactly one out of three games?
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What is the combined probability of having two students in a random selection pass their test when the passing rate is 80%?
What is the combined probability of having two students in a random selection pass their test when the passing rate is 80%?
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What is the value of E in the equation A BC + C BA = DEDD, where A, B, C, D, and E are different digits?
What is the value of E in the equation A BC + C BA = DEDD, where A, B, C, D, and E are different digits?
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The sum of all odd numbers from 1 to 2019 is divisible by which of the following?
The sum of all odd numbers from 1 to 2019 is divisible by which of the following?
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If a box of dimensions 40 × 35 × 28 is completely filled with smaller boxes with no gaps, what could be the dimensions of the smaller boxes if 100 of them fit?
If a box of dimensions 40 × 35 × 28 is completely filled with smaller boxes with no gaps, what could be the dimensions of the smaller boxes if 100 of them fit?
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If x is a 5-digit number and its digits sum to y, and the digits of y sum to z, what is the maximum possible value of z?
If x is a 5-digit number and its digits sum to y, and the digits of y sum to z, what is the maximum possible value of z?
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What is the minimum product of combining four numbers chosen from the set {2, 3, 5, 7, 8, 10, 12}?
What is the minimum product of combining four numbers chosen from the set {2, 3, 5, 7, 8, 10, 12}?
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In a café, 120 students are drinking either gold coffee or black coffee. If 10 male students drink black coffee, how many female students drink gold coffee?
In a café, 120 students are drinking either gold coffee or black coffee. If 10 male students drink black coffee, how many female students drink gold coffee?
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Which of the following is the correct sum of the first ten odd numbers?
Which of the following is the correct sum of the first ten odd numbers?
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If the volume of a box is given as 2520 cm³, which of the following sets of dimensions could represent this volume?
If the volume of a box is given as 2520 cm³, which of the following sets of dimensions could represent this volume?
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If an integer is randomly selected from 1 to 100, what is the probability that the number is even?
If an integer is randomly selected from 1 to 100, what is the probability that the number is even?
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Given a number set, what is the median of the numbers {7, 5, 1, 3, 9}?
Given a number set, what is the median of the numbers {7, 5, 1, 3, 9}?
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If a circle and a square have the same perimeter, which statement is true regarding their areas?
If a circle and a square have the same perimeter, which statement is true regarding their areas?
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What is the correct sequence of the number of days in each of the 4 sheets of a 2019 calendar?
What is the correct sequence of the number of days in each of the 4 sheets of a 2019 calendar?
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What are the vertex and the axis of symmetry for a quadratic function at (-1,-2)?
What are the vertex and the axis of symmetry for a quadratic function at (-1,-2)?
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If the mean of the resulting numbers, after subtracting 50 from each, is 3.5, what is the mean of the original set of numbers?
If the mean of the resulting numbers, after subtracting 50 from each, is 3.5, what is the mean of the original set of numbers?
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What is Sumedh's final position and distance from his original point after his journey?
What is Sumedh's final position and distance from his original point after his journey?
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In a best of 3 games badminton finals, what could be the potential outcomes for the two teams?
In a best of 3 games badminton finals, what could be the potential outcomes for the two teams?
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What is the axis of symmetry for a quadratic function with vertex (-2,-1)?
What is the axis of symmetry for a quadratic function with vertex (-2,-1)?
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If each game in a badminton finals results only in a win or a loss, what outcome represents the scenario where both teams win one game?
If each game in a badminton finals results only in a win or a loss, what outcome represents the scenario where both teams win one game?
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Study Notes
Ratios
- Ratios presented: 4:9, 9:4, 3:4, 4:3.
Circle and Square
- A circle and a square have the same perimeter.
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Area Comparisons:
- Areas are not equal.
- Area of the circle is greater, or
- Area of the square is π times the area of the circle, or
- Area of the square is π² times the area of the circle.
Calendar 2019
- Calendar made with 4 sheets, each containing three months.
- Total days on each sheet options:
- (90, 91, 92, 92)
- (90, 92, 91, 92)
- (90, 92, 91, 92)
- (90, 92, 92, 91).
Quadratic Functions
- Vertex and axis of symmetry of a quadratic function can be identified:
- Options presented include vertex at (-1,-2) with axes at x = -1 or y = -2, or vertex at (-2,-1) with axes at x = -2 or y = -1.
Mean Calculation
- Original set of numbers: Mean needs to be calculated if 50 numbers subtracted from 53 yielding a mean of 3.5 after subtraction.
Path Calculation
- Sumedh's journey involves multiple directional changes, resulting in a final position.
- Possible end positions:
- 15 meters west
- 30 meters east
- 30 meters west
- 45 meters east.
Probability in Badminton
- Team A and B in best of 3 games competition, probability that Team A wins is evaluated.
Class Statistics
- In a class of 25, with 80% passing a grade of C or better; calculating probability for random selection suggests possible outcomes.
Concrete Mixture Ratio
- Concrete mixture composed of gravel, water, and sand in a 1:3:5 ratio by weight – calculation for water in a 72 kg mixture needed.
Square Root Calculation
- Square root of 0.4 with options available for assessment: 0.6, 0.7, 0.8, 0.9.
Cake Pricing
- A cake originally priced at 800 with a 10% discount followed by a 10% tax, requires calculation of the final selling price.
Variable Problems
- Given an algebraic equation involving variables A, B, C, D satisfying the budget of Rs. 96.
Summation Problem
- Sum of all odd integers from 1 to 2019 requiring divisibility checks.
Box Size Calculation
- Specified dimensions for small boxes fitting uniformly within a larger box.
Maximum and Minimum Values
- A series of problems involving finding maximum and minimum possible values from given conditions.
Coffee Consumption
- Survey of student coffee preferences, determining female student preferences based on male statistics.
Harmonic Relationship
- Problems related to products and sums of roots under specific conditions.
Professor's Assignment
- Evaluating cumulative properties of polynomial roots from given expressions and finding specific coefficients.
Miscellaneous
- Various mathematical problems including logical deductions and ratio calculations.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
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Description
Test your understanding of various mathematical concepts including ratios, area comparisons between shapes, calendar calculations, quadratic functions, mean calculations, and pathfinding. This quiz covers essential principles and problem-solving skills in math.
