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CA Foundation Basic Arithmetic — practice questions — page 2

Explore 34 free Basic Arithmetic questions in CA Foundation Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Basic Arithmetic questions and exercises with answers

Showing questions 31–34 of 34.

If a : b = c : d, then by alternendo, the relation a : c = b : d meansRead the answer and worked solution →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 →

Worked practice questions

If a : b = c : d, then by alternendo, the relation a : c = b : d means

  1. Squares are taken
  2. Means and extremes swap positions
  3. Reciprocals are taken
  4. The ratio reverses
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Correct answer: B. Means and extremes swap positions

1. Alternendo states: if a/b = c/d, then a/c = b/d. 2. This swaps the means (b and c) of the original proportion. 3. The extremes (a and d) keep their outer positions. 4. So alternendo describes means and extremes swapping positions. _Source: ICAI BoS Foundation Paper 3, Ch 1 Unit II 'Proportions', p.10 properties_

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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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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