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SSC CGL Mixture and Alligation — practice questions

Explore 53 free Mixture and Alligation questions in SSC CGL Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Mixture and Alligation questions and exercises with answers

Showing questions 1–30 of 53.

Rice at Rs 20 per kg is mixed with rice at Rs 30 per kg in equal weights. What is the price of the mixture per kg?Read the answer and worked solution →Sugar at Rs 40/kg and sugar at Rs 50/kg are mixed in the ratio 2:3. Find the mean price per kg.Read the answer and worked solution →In what ratio should tea at Rs 60/kg and Rs 75/kg be mixed to get a blend at Rs 66/kg?Read the answer and worked solution →Grain at Rs 24/kg and Rs 36/kg is blended to sell at Rs 28/kg. Find cheaper to dearer ratio.Read the answer and worked solution →Water is added to milk worth Rs 12/L to get a mixture worth Rs 8/L. What is the water to milk ratio?Read the answer and worked solution →A 40 L mixture has milk and water in the ratio 3:1. How much water must be added to make the ratio 1:1?Read the answer and worked solution →A 60 L mixture of milk and water is in the ratio 2:1. After 30 L of water is added, what is milk to water?Read the answer and worked solution →A vessel has 20 L of pure milk. 4 L is removed and replaced by water, and this is repeated once. Milk left?Read the answer and worked solution →From 40 L of pure acid, 4 L is drawn and replaced by water; the step is done twice in all. Acid left?Read the answer and worked solution →8 L is drawn from a full cask of pure wine and replaced by water. After four such steps wine to water is 16:65. Capacity?Read the answer and worked solution →20 L of a 30% alcohol solution is mixed with 30 L of a 50% solution. What is the alcohol percentage?Read the answer and worked solution →Equal quantities of 10% and 20% salt solutions are mixed. What is the salt percentage of the mixture?Read the answer and worked solution →How much water must be added to 20 L of a 40% sugar syrup to dilute it to 25%?Read the answer and worked solution →How much pure salt must be added to 40 kg of a 10% salt solution to make it 20%?Read the answer and worked solution →An 80 L mixture is 25% alcohol. How much water should be added to reduce the alcohol to 20%?Read the answer and worked solution →From 50 kg of a 10% salt solution, how much water must evaporate to make it 20% salt?Read the answer and worked solution →A drink is 1/2 cola at 120 g sugar/L, 1/4 lemon soda at 100 g/L and 1/4 orange soda at 150 g/L. Sugar per litre?Read the answer and worked solution →To make 8 oz of 1% milk from 3% milk and 0.5% milk, how much 3% milk is needed?Read the answer and worked solution →Rice at Rs 18/kg and Rs 24/kg is mixed 1:1 and sold to earn 20% profit. Selling price per kg?Read the answer and worked solution →Which problem type is solved by the method of alligation?Read the answer and worked solution →Alligation medial is used to find which quantity?Read the answer and worked solution →Where is the old technique of alligation still used for quick calculations today?Read the answer and worked solution →Wheat at Rs 30/kg is blended with a dearer variety in the ratio 3:2 to give Rs 36/kg. Price of the dearer?Read the answer and worked solution →26 kg of rice at Rs 20/kg is mixed with 30 kg at Rs 36/kg and sold at Rs 30/kg. What is the profit percent?Read the answer and worked solution →Two equal jugs hold milk and water in the ratios 2:3 and 3:2. They are poured together. New ratio?Read the answer and worked solution →Milk is 80% in one container and 50% in another. In what ratio mixed for 60% milk?Read the answer and worked solution →In what ratio must 12% and 32% alcohol solutions be mixed to obtain a 25% solution?Read the answer and worked solution →Gold of 18 carat and gold of 22 carat are melted together in equal weights. Carat of the alloy?Read the answer and worked solution →A milkman adds 10 L of water to 90 L of pure milk. What percent of the mixture is water?Read the answer and worked solution →A dealer sells a water and milk mixture at the cost price of pure milk. If water is 25% of it, gain percent?Read the answer and worked solution →

Worked practice questions

Rice at Rs 20 per kg is mixed with rice at Rs 30 per kg in equal weights. What is the price of the mixture per kg?

  1. Rs 24
  2. Rs 26
  3. Rs 28
  4. Rs 25
Show answer and solution

Correct answer: D. Rs 25

With equal weights the mean price is the simple average, (20 + 30)/2 = 25.

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Sugar at Rs 40/kg and sugar at Rs 50/kg are mixed in the ratio 2:3. Find the mean price per kg.

  1. Rs 45
  2. Rs 44
  3. Rs 46
  4. Rs 48
Show answer and solution

Correct answer: C. Rs 46

Total cost is 2 x 40 + 3 x 50 = 230 for 5 kg, so the mean is 46 per kg.

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In what ratio should tea at Rs 60/kg and Rs 75/kg be mixed to get a blend at Rs 66/kg?

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

Correct answer: A. 3:2

By the rule of alligation the cheaper and dearer tea are in the ratio (75 - 66):(66 - 60) = 9:6 = 3:2.

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