Podcast
Questions and Answers
How should you determine the denominator when converting a repeating decimal to a fraction?
How should you determine the denominator when converting a repeating decimal to a fraction?
- Write a 1 followed by as many nines as there are repeating digits.
- Use the number of repeating digits to form a whole number.
- Write the total number of digits in the decimal.
- Write as many nines as there are repeating digits followed by as many zeroes as there are non-repeating digits. (correct)
What is the simplified form of the fraction derived from the decimal 0.17?
What is the simplified form of the fraction derived from the decimal 0.17?
- 16/90
- 1/5
- 17/100
- 8/45 (correct)
What is the value of any number raised to the power of zero?
What is the value of any number raised to the power of zero?
- Negative of the number
- One (correct)
- The number itself
- Zero
If you have the expression $(a imes b)^m$, what can it be rewritten as?
If you have the expression $(a imes b)^m$, what can it be rewritten as?
What is the fraction representation of the decimal 0.1254?
What is the fraction representation of the decimal 0.1254?
What is the compounded ratio of 2:3 and 4:5?
What is the compounded ratio of 2:3 and 4:5?
For the ratios 3:4 and 4:5, which is greater?
For the ratios 3:4 and 4:5, which is greater?
What does it mean for a ratio to be in its simplest form?
What does it mean for a ratio to be in its simplest form?
If a:b = 3:4 and b:c = 6:13, what is the common ratio of a:b:c?
If a:b = 3:4 and b:c = 6:13, what is the common ratio of a:b:c?
For the system of equations to have a unique solution, what condition must hold regarding the value of k?
For the system of equations to have a unique solution, what condition must hold regarding the value of k?
What indicates that the system of equations is inconsistent?
What indicates that the system of equations is inconsistent?
How do you determine the number of parts when dividing a total amount in a ratio?
How do you determine the number of parts when dividing a total amount in a ratio?
What is the duplicate ratio of 4:5?
What is the duplicate ratio of 4:5?
What is the value of 1 unit if 2400 is divided in the ratio 3:5?
What is the value of 1 unit if 2400 is divided in the ratio 3:5?
In order to find the value of k for which the system x + 2y = 3, 5x + ky = -7 is consistent, what must k equal?
In order to find the value of k for which the system x + 2y = 3, 5x + ky = -7 is consistent, what must k equal?
If the compounded ratio yields 8:15, what is the outcome when comparing the ratios 2:3 and 4:5?
If the compounded ratio yields 8:15, what is the outcome when comparing the ratios 2:3 and 4:5?
What does the concept of a triplicate ratio refer to?
What does the concept of a triplicate ratio refer to?
When establishing the ratios for boys being decreased in numbers, what is the first step?
When establishing the ratios for boys being decreased in numbers, what is the first step?
When subtracting equations to solve for unknowns, what is the primary goal of this operation?
When subtracting equations to solve for unknowns, what is the primary goal of this operation?
What happens when the coefficients' ratios yield an equality that does not match for both equations in a linear system?
What happens when the coefficients' ratios yield an equality that does not match for both equations in a linear system?
Which method would provide a system of equations with a unique solution?
Which method would provide a system of equations with a unique solution?
Flashcards
Unique Solution of System of Equations
Unique Solution of System of Equations
A system of equations has a unique solution when there is only one set of values for the variables that satisfies all the equations.
Inconsistent System of Equations
Inconsistent System of Equations
A system of equations is inconsistent if the equations describe parallel lines that never intersect, so there is no solution.
Consistent System of Equations
Consistent System of Equations
A system of equations is consistent if it has at least one solution.
Duplicate Ratio
Duplicate Ratio
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Ratio
Ratio
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System of Three Equations
System of Three Equations
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Triplciate Ratio
Triplciate Ratio
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Solving Simultaneous Equations
Solving Simultaneous Equations
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Compound Ratio
Compound Ratio
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Comparing Ratios
Comparing Ratios
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Simplifying a Ratio
Simplifying a Ratio
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Dividing a Quantity in a Ratio
Dividing a Quantity in a Ratio
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Ratio Problems
Ratio Problems
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Finding Equivalent Ratios
Finding Equivalent Ratios
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Combining Ratios (a:b and b:c to a:b:c)
Combining Ratios (a:b and b:c to a:b:c)
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Converting decimals to fractions
Converting decimals to fractions
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Example 0.17 to fraction
Example 0.17 to fraction
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Example 0.1254 to fraction
Example 0.1254 to fraction
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Example 2.536 to fraction
Example 2.536 to fraction
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a^0 = 1
a^0 = 1
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Study Notes
Quantitative Aptitude Study Notes
- Quantitative aptitude encompasses various mathematical topics crucial for various engineering disciplines.
- The syllabus typically includes numbers, linear equations, ratios, proportions, variations, percentages, profit-loss, partnership, simple & compound interest, averages, mixtures, alligation, time and work, pipes & cisterns, time, speed & distance, permutations and combinations, probability, geometry, and mensuration.
- Analysis of past GATE papers reveals the specific weightage of different topics within quantitative aptitude.
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