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: $4 : 5 = 8 : 10$.
ITBP Ratio and Proportion — practice questions
Explore 47 free Ratio and Proportion questions in ITBP 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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