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: $4 : 5 = 8 : 10$.
SEBI Grade A Ratio and Proportion — practice questions
Explore 47 free Ratio and Proportion questions in SEBI Grade A 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 47.
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 →The sum of two numbers is 45 and they are in the ratio 7 : 8. The two numbers are:Read the answer and worked solution →In a school, 10% of the boys equal in number to 1/4th of the girls. What is the ratio of boys to girls?Read the answer and worked solution →1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers left and the food then lasted 32 more days. How many soldiers left?Read the answer and worked solution →A sum of Rupees 110 is made of Rupees 2, Rupees 1 and 50 paise coins in the ratio 1 : 2 : 3 respectively. How many 50 paise coins are there?Read the answer and worked solution →If a 24.6 m long wire is divided in the ratio 12 : 29, what is the length of the longer piece?Read the answer and worked solution →S is 7 years younger than R. If the ratio of their ages is 7 : 9, what is S's age?Read the answer and worked solution →The ratio of 30 minutes to 40 minutes is written as: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 →
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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