alleryStart learning →Which of the following is equivalent to the ratio $4 : 5$?
- $5 : 4$
- $8 : 10$
- $4 : 10$
- $5 : 8$
Show answer and solution
Correct answer: B. $8 : 10$
Multiplying both terms of a ratio by the same non-zero number preserves it: $4 : 5 = 8 : 10$.
MPSC Maharashtra Ratio and Proportion — practice questions
Explore 40 free Ratio and Proportion questions in MPSC Maharashtra Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.
Practise Ratio and Proportion with Quill →Ratio and Proportion questions and exercises with answers
Showing questions 1–30 of 40.
Which of the following is equivalent to the ratio $4 : 5$?Read the answer and worked solution →Find the fourth proportional to $4$, $9$ and $12$.Read the answer and worked solution →Find the mean proportional between $16$ and $25$.Read the answer and worked solution →If $\dfrac{a}{b} = \dfrac{3}{5}$, find the value of $\dfrac{a+b}{a-b}$.Read the answer and worked solution →Find the compounded ratio of $(2 : 3)$, $(5 : 7)$ and $(4 : 9)$.Read the answer and worked solution →₹$5400$ is divided among A, B and C in the ratio $3 : 5 : 7$. How much does B receive?Read the answer and worked solution →Complete the definition of direct proportionRead the answer and worked solution →Complete the definition of inverse proportionRead the answer and worked solution →Ratio constant, or product constant?Read the answer and worked solution →Tap every pair that varies DIRECTLYRead the answer and worked solution →True or false: direct and inverseRead the answer and worked solution →Reading a proportionRead the answer and worked solution →Match each relation to its formRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Order the steps: solve a direct proportion problemRead the answer and worked solution →Order the steps: solve an inverse proportion problemRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Flip and pair: form with nameRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →True or false: spotting the variationRead the answer and worked solution →Sort each real situationRead the answer and worked solution →Constants of proportionRead the answer and worked solution →Tap every correct way to write direct proportionRead the answer and worked solution →Complete the comparison ruleRead the answer and worked solution →Assertion and reason: constantsRead the answer and worked solution →True or false: the constantRead the answer and worked solution →Spot the odd one outRead the answer and worked solution →Which equation applies?Read the answer and worked solution →Which stays fixed in the situation?Read the answer and worked solution →
Worked practice questions
Find the fourth proportional to $4$, $9$ and $12$.
- $18$
- $21$
- $24$
- $27$
Show answer and solution
Correct answer: D. $27$
If $4 : 9 = 12 : x$, then by the product-of-means equals product-of-extremes rule, $4x = 9 \times 12 = 108$, so $x = 27$.
Find the mean proportional between $16$ and $25$.
- $18$
- $20$
- $22$
- $24$
Show answer and solution
Correct answer: B. $20$
Mean proportional $= \sqrt{a \times b} = \sqrt{16 \times 25} = \sqrt{400} = 20$.
Option A (18) is the arithmetic mean $(16+25)/2 \approx 20.5$ rounded down — close, but not the geometric mean asked for.
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