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SSC GD Constable Mixture & Alligation Questions with Answers & Explanations

18 Mixture & Alligation questions from the Elementary Mathematics section of SSC GD Constable, 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‚Ή40/kg be mixed with rice at β‚Ή60/kg so that the mixture costs β‚Ή42/kg?

  1. A19 : 2
  2. B2 : 3
  3. C9 : 1
  4. D1 : 9
Show answer
Answer: (C) 9 : 1 By alligation, ratio = (60 βˆ’ 42) : (42 βˆ’ 40) = 9 : 1.
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‚Ή27/kg?

  1. A7 : 3
  2. B3 : 7
  3. C2 : 3
  4. D4 : 7
Show answer
Answer: (B) 3 : 7 By alligation, ratio = (30 βˆ’ 27) : (27 βˆ’ 20) = 3 : 7.
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‚Ή46/kg?

  1. A7 : 3
  2. B1 : 1
  3. C5 : 2
  4. D3 : 7
Show answer
Answer: (A) 7 : 3 By alligation, ratio = (60 βˆ’ 46) : (46 βˆ’ 40) = 7 : 3.
Question 4

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. B2 : 3
  3. C7 : 8
  4. D8 : 7
Show answer
Answer: (C) 7 : 8 By alligation, ratio = (45 βˆ’ 38) : (38 βˆ’ 30) = 7 : 8.
Question 5

In what ratio must rice at β‚Ή50/kg be mixed with rice at β‚Ή80/kg so that the mixture costs β‚Ή69/kg?

  1. A12 : 19
  2. B11 : 19
  3. C5 : 8
  4. D1 : 1
Show answer
Answer: (B) 11 : 19 By alligation, ratio = (80 βˆ’ 69) : (69 βˆ’ 50) = 11 : 19.
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‚Ή52/kg?

  1. A1 : 14
  2. B5 : 8
  3. C14 : 1
  4. D1 : 1
Show answer
Answer: (C) 14 : 1 By alligation, ratio = (80 βˆ’ 52) : (52 βˆ’ 50) = 14 : 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‚Ή58/kg?

  1. A1 : 1
  2. B2 : 3
  3. C1 : 6
  4. D1 : 9
Show answer
Answer: (D) 1 : 9 By alligation, ratio = (60 βˆ’ 58) : (58 βˆ’ 40) = 1 : 9.
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‚Ή48/kg?

  1. A3 : 2
  2. B13 : 8
  3. C1 : 1
  4. D2 : 3
Show answer
Answer: (A) 3 : 2 By alligation, ratio = (60 βˆ’ 48) : (48 βˆ’ 40) = 3 : 2.
Question 9

In what ratio must rice at β‚Ή15/kg be mixed with rice at β‚Ή25/kg so that the mixture costs β‚Ή20/kg?

  1. A6 : 5
  2. B1 : 1
  3. C1 : 2
  4. D3 : 5
Show answer
Answer: (B) 1 : 1 By alligation, ratio = (25 βˆ’ 20) : (20 βˆ’ 15) = 1 : 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‚Ή35/kg?

  1. A2 : 3
  2. B1 : 11
  3. C11 : 1
  4. D1 : 1
Show answer
Answer: (B) 1 : 11 By alligation, ratio = (36 βˆ’ 35) : (35 βˆ’ 24) = 1 : 11.

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Question 11

In what ratio must rice at β‚Ή40/kg be mixed with rice at β‚Ή60/kg so that the mixture costs β‚Ή53/kg?

  1. A13 : 7
  2. B2 : 3
  3. C7 : 13
  4. D8 : 13
Show answer
Answer: (C) 7 : 13 By alligation, ratio = (60 βˆ’ 53) : (53 βˆ’ 40) = 7 : 13.
Question 12

In what ratio must rice at β‚Ή40/kg be mixed with rice at β‚Ή60/kg so that the mixture costs β‚Ή44/kg?

  1. A2 : 3
  2. B1 : 1
  3. C17 : 4
  4. D4 : 1
Show answer
Answer: (D) 4 : 1 By alligation, ratio = (60 βˆ’ 44) : (44 βˆ’ 40) = 4 : 1.
Question 13

In what ratio must rice at β‚Ή30/kg be mixed with rice at β‚Ή45/kg so that the mixture costs β‚Ή35/kg?

  1. A1 : 2
  2. B2 : 3
  3. C11 : 5
  4. D2 : 1
Show answer
Answer: (D) 2 : 1 By alligation, ratio = (45 βˆ’ 35) : (35 βˆ’ 30) = 2 : 1.
Question 14

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 : 1
  2. B1 : 1
  3. C9 : 4
  4. D2 : 3
Show answer
Answer: (A) 2 : 1 By alligation, ratio = (36 βˆ’ 28) : (28 βˆ’ 24) = 2 : 1.
Question 15

In what ratio must rice at β‚Ή30/kg be mixed with rice at β‚Ή45/kg so that the mixture costs β‚Ή41/kg?

  1. A4 : 11
  2. B1 : 1
  3. C11 : 4
  4. D5 : 11
Show answer
Answer: (A) 4 : 11 By alligation, ratio = (45 βˆ’ 41) : (41 βˆ’ 30) = 4 : 11.
Question 16

In what ratio must rice at β‚Ή30/kg be mixed with rice at β‚Ή45/kg so that the mixture costs β‚Ή34/kg?

  1. A3 : 1
  2. B1 : 1
  3. C4 : 11
  4. D11 : 4
Show answer
Answer: (D) 11 : 4 By alligation, ratio = (45 βˆ’ 34) : (34 βˆ’ 30) = 11 : 4.
Question 17

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. A2 : 3
  2. B3 : 7
  3. C7 : 3
  4. D1 : 2
Show answer
Answer: (B) 3 : 7 By alligation, ratio = (60 βˆ’ 54) : (54 βˆ’ 40) = 3 : 7.
Question 18

In what ratio must rice at β‚Ή30/kg be mixed with rice at β‚Ή45/kg so that the mixture costs β‚Ή44/kg?

  1. A14 : 1
  2. B1 : 7
  3. C2 : 3
  4. D1 : 14
Show answer
Answer: (D) 1 : 14 By alligation, ratio = (45 βˆ’ 44) : (44 βˆ’ 30) = 1 : 14.

These are RankerClub practice questions written in the SSC GD Constable pattern. They are not official SSC/IBPS/RRB papers.

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