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DRDO CEPTAM Mixture & Alligation Questions with Answers & Explanations

17 Mixture & Alligation questions from the Quantitative Ability section of DRDO CEPTAM, each with the correct answer and a worked explanation. Try each question first, then tap Show answer to check. When you're ready, take the timed chapter-wise test to see your all-India rank.

Question 1

In what ratio must rice at β‚Ή50/kg be mixed with rice at β‚Ή80/kg so that the mixture costs β‚Ή57/kg?

  1. A7 : 23
  2. B24 : 7
  3. C23 : 7
  4. D5 : 8
Show answer
Answer: (C) 23 : 7 By alligation, ratio = (80 βˆ’ 57) : (57 βˆ’ 50) = 23 : 7.
Question 2

In what ratio must rice at β‚Ή15/kg be mixed with rice at β‚Ή25/kg so that the mixture costs β‚Ή17/kg?

  1. A4 : 1
  2. B3 : 5
  3. C1 : 1
  4. D9 : 2
Show answer
Answer: (A) 4 : 1 By alligation, ratio = (25 βˆ’ 17) : (17 βˆ’ 15) = 4 : 1.
Question 3

In what ratio must rice at β‚Ή50/kg be mixed with rice at β‚Ή80/kg so that the mixture costs β‚Ή78/kg?

  1. A14 : 1
  2. B1 : 14
  3. C1 : 1
  4. D5 : 8
Show answer
Answer: (B) 1 : 14 By alligation, ratio = (80 βˆ’ 78) : (78 βˆ’ 50) = 1 : 14.
Question 4

In what ratio must rice at β‚Ή40/kg be mixed with rice at β‚Ή60/kg so that the mixture costs β‚Ή59/kg?

  1. A1 : 19
  2. B19 : 1
  3. C2 : 19
  4. D1 : 1
Show answer
Answer: (A) 1 : 19 By alligation, ratio = (60 βˆ’ 59) : (59 βˆ’ 40) = 1 : 19.
Question 5

In what ratio must rice at β‚Ή24/kg be mixed with rice at β‚Ή36/kg so that the mixture costs β‚Ή25/kg?

  1. A11 : 1
  2. B2 : 3
  3. C1 : 1
  4. D1 : 11
Show answer
Answer: (A) 11 : 1 By alligation, ratio = (36 βˆ’ 25) : (25 βˆ’ 24) = 11 : 1.
Question 6

In what ratio must rice at β‚Ή20/kg be mixed with rice at β‚Ή30/kg so that the mixture costs β‚Ή22/kg?

  1. A4 : 1
  2. B1 : 4
  3. C1 : 1
  4. D2 : 3
Show answer
Answer: (A) 4 : 1 By alligation, ratio = (30 βˆ’ 22) : (22 βˆ’ 20) = 4 : 1.
Question 7

In what ratio must rice at β‚Ή50/kg be mixed with rice at β‚Ή80/kg so that the mixture costs β‚Ή53/kg?

  1. A9 : 1
  2. B28 : 3
  3. C5 : 8
  4. D1 : 1
Show answer
Answer: (A) 9 : 1 By alligation, ratio = (80 βˆ’ 53) : (53 βˆ’ 50) = 9 : 1.
Question 8

In what ratio must rice at β‚Ή40/kg be mixed with rice at β‚Ή60/kg so that the mixture costs β‚Ή52/kg?

  1. A1 : 1
  2. B2 : 3
  3. C3 : 4
  4. D3 : 2
Show answer
Answer: (B) 2 : 3 By alligation, ratio = (60 βˆ’ 52) : (52 βˆ’ 40) = 2 : 3.
Question 9

In what ratio must rice at β‚Ή20/kg be mixed with rice at β‚Ή30/kg so that the mixture costs β‚Ή28/kg?

  1. A4 : 1
  2. B1 : 4
  3. C1 : 1
  4. D2 : 3
Show answer
Answer: (B) 1 : 4 By alligation, ratio = (30 βˆ’ 28) : (28 βˆ’ 20) = 1 : 4.
Question 10

In what ratio must rice at β‚Ή40/kg be mixed with rice at β‚Ή60/kg so that the mixture costs β‚Ή48/kg?

  1. A3 : 2
  2. B2 : 3
  3. C13 : 8
  4. D1 : 1
Show answer
Answer: (A) 3 : 2 By alligation, ratio = (60 βˆ’ 48) : (48 βˆ’ 40) = 3 : 2.

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Question 11

In what ratio must rice at β‚Ή20/kg be mixed with rice at β‚Ή30/kg so that the mixture costs β‚Ή25/kg?

  1. A1 : 1
  2. B6 : 5
  3. C2 : 3
  4. D1 : 2
Show answer
Answer: (A) 1 : 1 By alligation, ratio = (30 βˆ’ 25) : (25 βˆ’ 20) = 1 : 1.
Question 12

In what ratio must rice at β‚Ή30/kg be mixed with rice at β‚Ή45/kg so that the mixture costs β‚Ή37/kg?

  1. A8 : 7
  2. B7 : 8
  3. C1 : 1
  4. D2 : 3
Show answer
Answer: (A) 8 : 7 By alligation, ratio = (45 βˆ’ 37) : (37 βˆ’ 30) = 8 : 7.
Question 13

In what ratio must rice at β‚Ή15/kg be mixed with rice at β‚Ή25/kg so that the mixture costs β‚Ή22/kg?

  1. A1 : 1
  2. B3 : 5
  3. C3 : 7
  4. D7 : 3
Show answer
Answer: (C) 3 : 7 By alligation, ratio = (25 βˆ’ 22) : (22 βˆ’ 15) = 3 : 7.
Question 14

In what ratio must rice at β‚Ή50/kg be mixed with rice at β‚Ή80/kg so that the mixture costs β‚Ή54/kg?

  1. A13 : 2
  2. B5 : 8
  3. C27 : 4
  4. D2 : 13
Show answer
Answer: (A) 13 : 2 By alligation, ratio = (80 βˆ’ 54) : (54 βˆ’ 50) = 13 : 2.
Question 15

In what ratio must rice at β‚Ή20/kg be mixed with rice at β‚Ή30/kg so that the mixture costs β‚Ή29/kg?

  1. A1 : 1
  2. B1 : 9
  3. C2 : 3
  4. D9 : 1
Show answer
Answer: (B) 1 : 9 By alligation, ratio = (30 βˆ’ 29) : (29 βˆ’ 20) = 1 : 9.
Question 16

In what ratio must rice at β‚Ή50/kg be mixed with rice at β‚Ή80/kg so that the mixture costs β‚Ή71/kg?

  1. A3 : 7
  2. B10 : 21
  3. C5 : 8
  4. D7 : 3
Show answer
Answer: (A) 3 : 7 By alligation, ratio = (80 βˆ’ 71) : (71 βˆ’ 50) = 3 : 7.
Question 17

In what ratio must rice at β‚Ή30/kg be mixed with rice at β‚Ή45/kg so that the mixture costs β‚Ή38/kg?

  1. A1 : 1
  2. B8 : 7
  3. C2 : 3
  4. D7 : 8
Show answer
Answer: (D) 7 : 8 By alligation, ratio = (45 βˆ’ 38) : (38 βˆ’ 30) = 7 : 8.

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