Writing and simplifying a ratio, and finding one term from another 12 PYQs

• The ratio of juice and water in a mixture is 2 : 3. What is the percentage of juice in the mixture?SSC Selection Post 2026 · 24 Sep 2026
• The scale of a map is 1 : 50000. If the distance between two cities on the map is 3.6 cm, what is the actual distance between the cities?SSC Selection Post 2026 · 18 Sep 2026
• A recipe requires sugar and flour in the ratio of 1 : 4 respectively. If you want 2 cups of sugar, then how many cups of flour are required?UP Police Constable 2026 · 10 Jun 2026
• In a bag of coloured candies, the ratio of red candies to blue candies is 3 : 5 respectively. If there are 24 red candies, how many blue candies are…UP Police Constable 2026 · 10 Jun 2026
• A factory annually produced the following units in four quarters : Q1 : 1500, Q2 : 2500, Q3 : 2000, Q4 : 4000 What fraction of the total annual…UP Police Constable 2026 · 09 Jun 2026
• Two numbers are in the ratio 5 : 7. If the larger number is 21, what is the smaller number?UP Police Constable 2026 · 09 Jun 2026
• John invests Rs. 18,000 in stocks and Sarah invests Rs. 1,00,000 in stocks. What is the ratio of John's investment to Sarah's investment?UP Police Constable 2026 · 08 Jun 2026
• If the ratio of boys to girls in a class is 25 : 29, what is the fraction of boys in the class ?UP Police SI 2026 · 14 Mar 2026
• What is the ratio of 54 to 144 ?UP Police SI 2026 · 14 Mar 2026
• 3 : 17, 13 : 67, 10 : 37 and 5 : 9RRB NTPC 2026 · 24 Mar 2026
• Which of the following ratios is the greatest? a) 7 : 11 b) 9 : 14 c) 11 : 18 d) 13 : 21RRB NTPC 2026 · 08 May 2026
• Which ratio is the largest among 5 : 12, 14 : 31, 8 : 33 and 17 : 39?RRB NTPC 2026 · 16 Mar 2026

Ratio hidden in equations and percentages; value of an expression 3 PYQs

• If x : y : z = 5 : 6 : 7 and 3x − 2y + z = 40, then the value of z is:SSC Selection Post 2026 · 19 Sep 2026
• If p : q : r = 1 : 3 : 4 and 2p + q + 3r = 51, find the value of r.SSC Selection Post 2026 · 19 Sep 2026
• If a : b : c = 1 : 2 : 3 and 3a + 2b + c = 30, find the value of c.SSC Selection Post 2026 · 22 Sep 2026

Combining ratios: a : b and b : c, and longer chains 7 PYQs

• If P1 : P2 = 3 : 5 and P1 : P3 = 2 : 7, then P2 : P3 isSSC Selection Post 2026 · 23 Sep 2026
• If the ratio of a to b is 3 : 2 and the ratio of b to c is 8 : 7, what is the combined ratio of a : b : c?UP Police Constable 2026 · 09 Jun 2026
• The market prices of paddy and jowar are in the ratio 1 : 3, and a family consumes them in the ratio 5 : 7 by quantity. Find the ratio of…RRB Group D 2026 · 09 Jan 2026
• The sum of three numbers is 1416. The ratio of the first to the second is 7 : 9 and the ratio of the second to the third is 2 : 3. Find the second…UP Police SI 2026 · 15 Mar 2026
• ₹6,874 is to be divided among three persons X, Y and Z. If the shares of X and Y are in the ratio 5 : 9 and that of Y and Z are in the ratio 9 : 7,…RRB Group D 2026 · 09 Jan 2026
• The following ratios are given: a : b = 2 : 3 b : c = 4 : 5 c : d = 3 : 2 d : e = 5 : 4 What is the value of the ratio a : e?RRB NTPC 2026 · 15 Jun 2026
• A, B and C are three batsmen. The ratio of runs scored by them in a certain match was A : B = 15 : 17 and B : C = 14 : 19. At the end of the match,…RRB NTPC 2026 · 20 Jun 2026