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

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 1–30 of 35.

The sub-duplicate ratio of 25 : 36 isRead the answer and worked solution →The triplicate ratio of 2 : 3 isRead the answer and worked solution →The sub-triplicate ratio of 8 : 27 isRead the answer and worked solution →If the ratio of two quantities is 3 : 4 and the antecedent is 15, the consequent isRead the answer and worked solution →If a : b = 3 : 4, the value of (2a + 3b) : (3a + 4b) isRead the answer and worked solution →Two numbers are in the ratio 2 : 3. If 4 is subtracted from each, they become 3 : 5. The numbers areRead the answer and worked solution →Division of Rs.324 between X and Y in the ratio 11 : 7 gives themRead the answer and worked solution →The angles of a triangle are in the ratio 2 : 7 : 11. The angles areRead the answer and worked solution →The ratio compounded of 2 : 3, 9 : 4, 5 : 6 and 8 : 10 isRead the answer and worked solution →If p : q = 2 : 3 and x : y = 4 : 5, the value of (5px + 3qy) : (10px + 4qy) isRead the answer and worked solution →The number which when subtracted from each term of the ratio 19 : 31 reduces it to 1 : 4 isRead the answer and worked solution →The ratio of two numbers is 7 : 10 and their difference is 105. The numbers areRead the answer and worked solution →If 6 : x : : x : 24, then x equalsRead the answer and worked solution →Daily earnings of two persons are in ratio 4 : 5 and daily expenses in ratio 7 : 9. If each saves Rs.50, their daily earnings in Rs areRead the answer and worked solution →If x : y = 3 : 4, the value of (x^2*y + x*y^2) : (x^3 + y^3) isRead the answer and worked solution →The ratio compounded of 4 : 9 and the duplicate ratio of 3 : 4 isRead the answer and worked solution →P, Q, R are three cities. Avg temp of P : Q is 11 : 12, and P : R is 9 : 8. Avg temp of Q : R isRead the answer and worked solution →The value of log(8) base 2 isRead the answer and worked solution →The value of log(1/64) base 4 isRead the answer and worked solution →If log x = log 5 + 2 log 3 - log 9, then x equalsRead the answer and worked solution →If 2^x = 8, then x equalsRead the answer and worked solution →The value of log(75/16) - 2 log(5/9) + log(32/243) isRead the answer and worked solution →If a^x = b^y = c^z and b^2 = ac, then 1/x + 1/z equalsRead the answer and worked solution →If x = (sqrt(3) + 1) / (sqrt(3) - 1) and y = 1/x, then x^2 + y^2 equalsRead the answer and worked solution →If log(2) = 0.3010, the number of digits in 5^20 isRead the answer and worked solution →If a, b, c, d are in proportion (a : b :: c : d), then by componendo and dividendo, (a + b)/(a - b) equalsRead the answer and worked solution →The inverse ratio of 11 : 15 isRead the answer and worked solution →The duplicate ratio of 3 : 4 isRead the answer and worked solution →The value of x^(a-b) * x^(b-c) * x^(c-a) for any non-zero x isRead the answer and worked solution →If a : b = c : d, then by alternendo, the relation a : c = b : d meansRead the answer and worked solution →

Worked practice questions

The sub-duplicate ratio of 25 : 36 is

  1. 5 : 6
  2. 50 : 72
  3. 6 : 5
  4. 36 : 25
Show answer and solution

Correct answer: A. 5 : 6

1. The sub-duplicate ratio of a : b is sqrt(a) : sqrt(b). 2. sqrt(25) = 5 and sqrt(36) = 6. 3. So the sub-duplicate ratio of 25 : 36 is 5 : 6. 4. Option C just doubles the original terms and is incorrect. _Source: ICAI BoS Foundation Paper 3, Ch 1 Unit I 'Ratio', p.5 Ex.1(A) Q6_

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The triplicate ratio of 2 : 3 is

  1. 3 : 2
  2. 4 : 9
  3. 6 : 9
  4. 8 : 27
Show answer and solution

Correct answer: D. 8 : 27

1. The triplicate ratio of a : b is a^3 : b^3. 2. 2^3 = 8 and 3^3 = 27. 3. So the triplicate ratio of 2 : 3 is 8 : 27. 4. Option D is the DUPLICATE ratio (squared, not cubed) so it is the trap. _Source: ICAI BoS Foundation Paper 3, Ch 1 Unit I 'Ratio', p.5 Ex.1(A) Q7_

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The sub-triplicate ratio of 8 : 27 is

  1. 2 : 3
  2. 24 : 81
  3. 4 : 9
  4. 27 : 8
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Correct answer: A. 2 : 3

1. The sub-triplicate ratio of a : b is cuberoot(a) : cuberoot(b). 2. cuberoot(8) = 2 and cuberoot(27) = 3. 3. So the sub-triplicate ratio of 8 : 27 is 2 : 3. 4. Option B is the inverse, option C is a factored form, both wrong. _Source: ICAI BoS Foundation Paper 3, Ch 1 Unit I 'Ratio', p.5 Ex.1(A) Q8_

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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