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: $4 : 5 = 8 : 10$.
IIFT Ratio and Proportion — practice questions
Explore 78 free Ratio and Proportion questions in IIFT 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 78.
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 →A recipe uses dal and rice in the ratio 2:5. If 35 cups of rice are used, how many cups of dal are needed?Read the answer and worked solution →₹8400 is divided among A, B, C in the ratio 3:4:5. What is B's share?Read the answer and worked solution →The sides of two cubes are in the ratio 2:3. What is the ratio of their VOLUMES?Read the answer and worked solution →If a:b = 3:2, what is (a+b)/(a−b)?Read the answer and worked solution →A vendor mixes ₹40/kg rice with ₹60/kg rice to sell at ₹52/kg. What is the ratio of cheap to costly rice?Read the answer and worked solution →Speed and time are __________ proportional for a fixed distance.Read the answer and worked solution →A 100-litre tank contains milk. 10 litres are drawn out and replaced with water. This is done 3 times. How much milk remains?Read the answer and worked solution →In a 200-metre race, A beats B by 20 metres. What is the ratio of A's speed to B's speed?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 →
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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