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SSC CGL Mixture & Alligation Questions with Answers & Explanations

15 Mixture & Alligation questions from the Quantitative Aptitude section of SSC CGL, 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‚Ή30/kg be mixed with rice at β‚Ή45/kg so that the mixture costs β‚Ή37/kg?

  1. A8 : 7
  2. B2 : 3
  3. C9 : 7
  4. D1 : 1
Show answer
Answer: (A) 8 : 7 By alligation, ratio = (45 βˆ’ 37) : (37 βˆ’ 30) = 8 : 7.
Question 2

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. A2 : 3
  2. B1 : 9
  3. C9 : 1
  4. D2 : 9
Show answer
Answer: (B) 1 : 9 By alligation, ratio = (30 βˆ’ 29) : (29 βˆ’ 20) = 1 : 9.
Question 3

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. A3 : 4
  2. B2 : 3
  3. C3 : 2
  4. D1 : 1
Show answer
Answer: (B) 2 : 3 By alligation, ratio = (60 βˆ’ 52) : (52 βˆ’ 40) = 2 : 3.
Question 4

In what ratio must rice at β‚Ή15/kg be mixed with rice at β‚Ή25/kg so that the mixture costs β‚Ή24/kg?

  1. A9 : 1
  2. B3 : 5
  3. C1 : 9
  4. D2 : 9
Show answer
Answer: (C) 1 : 9 By alligation, ratio = (25 βˆ’ 24) : (24 βˆ’ 15) = 1 : 9.
Question 5

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. A2 : 3
  2. B4 : 1
  3. C1 : 4
  4. D1 : 1
Show answer
Answer: (B) 4 : 1 By alligation, ratio = (30 βˆ’ 22) : (22 βˆ’ 20) = 4 : 1.
Question 6

In what ratio must rice at β‚Ή50/kg be mixed with rice at β‚Ή80/kg so that the mixture costs β‚Ή51/kg?

  1. A1 : 29
  2. B5 : 8
  3. C29 : 1
  4. D30 : 1
Show answer
Answer: (C) 29 : 1 By alligation, ratio = (80 βˆ’ 51) : (51 βˆ’ 50) = 29 : 1.
Question 7

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. A2 : 3
  2. B1 : 19
  3. C2 : 19
  4. D19 : 1
Show answer
Answer: (B) 1 : 19 By alligation, ratio = (60 βˆ’ 59) : (59 βˆ’ 40) = 1 : 19.
Question 8

In what ratio must rice at β‚Ή20/kg be mixed with rice at β‚Ή30/kg so that the mixture costs β‚Ή24/kg?

  1. A1 : 1
  2. B2 : 3
  3. C3 : 2
  4. D7 : 4
Show answer
Answer: (C) 3 : 2 By alligation, ratio = (30 βˆ’ 24) : (24 βˆ’ 20) = 3 : 2.
Question 9

In what ratio must rice at β‚Ή50/kg be mixed with rice at β‚Ή80/kg so that the mixture costs β‚Ή52/kg?

  1. A1 : 1
  2. B1 : 14
  3. C29 : 2
  4. D14 : 1
Show answer
Answer: (D) 14 : 1 By alligation, ratio = (80 βˆ’ 52) : (52 βˆ’ 50) = 14 : 1.
Question 10

In what ratio must rice at β‚Ή24/kg be mixed with rice at β‚Ή36/kg so that the mixture costs β‚Ή26/kg?

  1. A1 : 5
  2. B1 : 1
  3. C5 : 1
  4. D2 : 3
Show answer
Answer: (C) 5 : 1 By alligation, ratio = (36 βˆ’ 26) : (26 βˆ’ 24) = 5 : 1.

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Question 11

In what ratio must rice at β‚Ή24/kg be mixed with rice at β‚Ή36/kg so that the mixture costs β‚Ή27/kg?

  1. A10 : 3
  2. B3 : 1
  3. C1 : 1
  4. D2 : 3
Show answer
Answer: (B) 3 : 1 By alligation, ratio = (36 βˆ’ 27) : (27 βˆ’ 24) = 3 : 1.
Question 12

In what ratio must rice at β‚Ή24/kg be mixed with rice at β‚Ή36/kg so that the mixture costs β‚Ή28/kg?

  1. A2 : 3
  2. B1 : 1
  3. C1 : 2
  4. D2 : 1
Show answer
Answer: (D) 2 : 1 By alligation, ratio = (36 βˆ’ 28) : (28 βˆ’ 24) = 2 : 1.
Question 13

In what ratio must rice at β‚Ή24/kg be mixed with rice at β‚Ή36/kg so that the mixture costs β‚Ή34/kg?

  1. A1 : 1
  2. B2 : 3
  3. C5 : 1
  4. D1 : 5
Show answer
Answer: (D) 1 : 5 By alligation, ratio = (36 βˆ’ 34) : (34 βˆ’ 24) = 1 : 5.
Question 14

In what ratio must rice at β‚Ή40/kg be mixed with rice at β‚Ή60/kg so that the mixture costs β‚Ή54/kg?

  1. A7 : 3
  2. B1 : 1
  3. C1 : 2
  4. D3 : 7
Show answer
Answer: (D) 3 : 7 By alligation, ratio = (60 βˆ’ 54) : (54 βˆ’ 40) = 3 : 7.
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‚Ή27/kg?

  1. A2 : 3
  2. B1 : 1
  3. C4 : 7
  4. D3 : 7
Show answer
Answer: (D) 3 : 7 By alligation, ratio = (30 βˆ’ 27) : (27 βˆ’ 20) = 3 : 7.

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