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Questions and Answers

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?

  • 16/90
  • 1/5
  • 17/100
  • 8/45 (correct)
  • 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?

    <p>$a^m imes b^m$</p> Signup and view all the answers

    What is the fraction representation of the decimal 0.1254?

    <p>69/550</p> Signup and view all the answers

    What is the compounded ratio of 2:3 and 4:5?

    <p>8:15</p> Signup and view all the answers

    For the ratios 3:4 and 4:5, which is greater?

    <p>4:5</p> Signup and view all the answers

    What does it mean for a ratio to be in its simplest form?

    <p>It has an HCF of 1</p> Signup and view all the answers

    If a:b = 3:4 and b:c = 6:13, what is the common ratio of a:b:c?

    <p>9:12:26</p> Signup and view all the answers

    For the system of equations to have a unique solution, what condition must hold regarding the value of k?

    <p>k must not equal 3</p> Signup and view all the answers

    What indicates that the system of equations is inconsistent?

    <p>The values of X, Y, and Z add up to a different total.</p> Signup and view all the answers

    How do you determine the number of parts when dividing a total amount in a ratio?

    <p>Add the units of the ratio</p> Signup and view all the answers

    What is the duplicate ratio of 4:5?

    <p>16:25</p> Signup and view all the answers

    What is the value of 1 unit if 2400 is divided in the ratio 3:5?

    <p>300</p> Signup and view all the answers

    In order to find the value of k for which the system x + 2y = 3, 5x + ky = -7 is consistent, what must k equal?

    <p>10</p> Signup and view all the answers

    If the compounded ratio yields 8:15, what is the outcome when comparing the ratios 2:3 and 4:5?

    <p>4:5 is greater</p> Signup and view all the answers

    What does the concept of a triplicate ratio refer to?

    <p>The cubed relationship between two ratios.</p> Signup and view all the answers

    When establishing the ratios for boys being decreased in numbers, what is the first step?

    <p>Find the difference in numbers</p> Signup and view all the answers

    When subtracting equations to solve for unknowns, what is the primary goal of this operation?

    <p>To eliminate one of the variables.</p> Signup and view all the answers

    What happens when the coefficients' ratios yield an equality that does not match for both equations in a linear system?

    <p>The equations form parallel lines.</p> Signup and view all the answers

    Which method would provide a system of equations with a unique solution?

    <p>The determinant of the system must not be zero.</p> Signup and view all the answers

    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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