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Agniveer Army Ratio and Proportion — practice questions

Explore 16 free Ratio and Proportion questions in Agniveer Army Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Ratio and Proportion questions and exercises with answers

Showing questions 1–16 of 16.

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 →In mathematics, a ratio is used to:Read the answer and worked solution →A basket holds 20 apples and 5 oranges. The ratio of oranges to apples in simplest form is:Read the answer and worked solution →Out of 25 fruits, 5 are oranges. What percentage of the fruits are apples?Read the answer and worked solution →An amount of 1200 is divided between two people in the ratio 3 : 5. The larger share is:Read the answer and worked solution →If a : b = 2 : 3 and b : c = 4 : 5, then a : c equals:Read the answer and worked solution →Two numbers are in the ratio 5 : 7 and differ by 12. Their sum is:Read the answer and worked solution →A car uses 4 litres of petrol to travel 60 km. How far will it travel on 12 litres?Read the answer and worked solution →Two quantities are in direct proportion when, as one increases:Read the answer and worked solution →If A : B = 3 : 4 and B : C = 6 : 5, then A : B : C equals:Read the answer and worked solution →

Worked practice questions

The sum of two numbers is 45 and they are in the ratio 7 : 8. The two numbers are:

  1. 20, 25
  2. 21, 24
  3. 22, 23
  4. 18, 27
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Correct answer: B. 21, 24

1. Let the numbers be 7x and 8x, so their sum is 15x = 45. 2. Solving gives x = 3. 3. The numbers are 7×3 = 21 and 8×3 = 24. _Source: RRB Group D (RRC) PYQ, held 27-10-2013, Q.15._

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In a school, 10% of the boys equal in number to 1/4th of the girls. What is the ratio of boys to girls?

  1. 3 : 2
  2. 5 : 3
  3. 4 : 1
  4. 5 : 2
Show answer and solution

Correct answer: D. 5 : 2

1. Let boys = B, girls = G. Given 10% of B = 1/4 of G, so 0.1B = 0.25G. 2. Then B/G = 0.25/0.1 = 2.5. 3. So B : G = 2.5 : 1 = 5 : 2. _Source: RRB Group D (RRC) PYQ, held 27-10-2013, Q.94._

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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?

  1. 280
  2. 300
  3. 320
  4. 290
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Correct answer: B. 300

1. Total food = 1200 x 28 = 33600 soldier-days. Used in 4 days = 1200 x 4 = 4800; remaining = 28800. 2. Remaining food lasts 32 days, so men = 28800 / 32 = 900. 3. Soldiers who left = 1200 - 900 = 300. _Source: RRB Group D CEN-02/2018 PYQ, Q.41._

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