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CA Foundation Ratio, Proportion, Indices and Logarithms: related Quantitative Aptitude practice — page 2

The practice bank below covers broader Quantitative Aptitude topics; a dedicated Ratio, Proportion, Indices and Logarithms lesson is not available yet.

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Quantitative Aptitude questions and exercises with answers

Showing questions 31–35 of 35.

If log a equals zero, the value of a isRead the answer and worked solution →The mean proportional between 4 and 16 equalsRead the answer and worked solution →If 25% of a number plus 15 equals 40, the number isRead the answer and worked solution →Key in the ratio answerRead the answer and worked solution →Direct or inverse proportion?Read the answer and worked solution →

Worked practice questions

If log a equals zero, the value of a is

  1. infinity
  2. zero
  3. ten
  4. exactly one
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Correct answer: D. exactly one

1. By log definition, log_b(x) = 0 implies b^0 = x. 2. For any positive base b, b^0 = 1. 3. So the value satisfying log a = 0 is exactly 1. 4. Zero (b), ten (c), and infinity (d) are not consistent with the rule. _Source: ICAI BoS Foundation Paper 3, Ch 1 Unit IV 'Logarithms', p.17_

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The mean proportional between 4 and 16 equals

  1. exactly ten
  2. exactly twelve
  3. exactly eight
  4. exactly four
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Correct answer: C. exactly eight

1. Mean proportional between a and c is sqrt(a * c). 2. Substitute a = 4 and c = 16: sqrt(4 * 16). 3. = sqrt(64). 4. = 8, written as 'exactly eight'. _Source: ICAI BoS Foundation Paper 3, Ch 1 Unit II 'Proportions', p.7_

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If 25% of a number plus 15 equals 40, the number is

  1. exactly seventy five
  2. exactly two hundred
  3. exactly fifty five
  4. exactly one hundred
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Correct answer: D. exactly one hundred

1. Let the number be x; set up 0.25 x + 15 = 40. 2. Subtract 15 from both sides: 0.25 x = 25. 3. Divide by 0.25: x = 100. 4. So the number is 100, written as 'exactly one hundred'. _Source: ICAI BoS Foundation Paper 3, Ch 1 Unit I 'Ratio', p.8 percentages_

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How to practise

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More Quantitative Aptitude topics

Quantitative MethodsTime Value of MoneyCorrelation and RegressionRatio and Proportion, Indices and LogarithmsSets, Relations and FunctionsMeasures of Central Tendency and DispersionStatistical Representation of Data and SamplingSequence and Series