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Delhi Police Constable Mixture & Alligation Questions with Answers & Explanations

17 Mixture & Alligation questions from the Numerical Ability section of Delhi Police 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.

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Question 1

In what ratio must rice at ₹50/kg be mixed with rice at ₹80/kg so that the mixture costs ₹70/kg?

  1. A2 : 1
  2. B1 : 1
  3. C11 : 20
  4. D1 : 2
Show answer
Answer: (D) 1 : 2 By alligation, ratio = (80 − 70) : (70 − 50) = 1 : 2.
Question 2

In what ratio must rice at ₹15/kg be mixed with rice at ₹25/kg so that the mixture costs ₹21/kg?

  1. A2 : 3
  2. B3 : 2
  3. C3 : 5
  4. D5 : 6
Show answer
Answer: (A) 2 : 3 By alligation, ratio = (25 − 21) : (21 − 15) = 2 : 3.
Question 3

In what ratio must rice at ₹30/kg be mixed with rice at ₹45/kg so that the mixture costs ₹35/kg?

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

In what ratio must rice at ₹30/kg be mixed with rice at ₹45/kg so that the mixture costs ₹44/kg?

  1. A14 : 1
  2. B1 : 14
  3. C2 : 3
  4. D1 : 7
Show answer
Answer: (B) 1 : 14 By alligation, ratio = (45 − 44) : (44 − 30) = 1 : 14.
Question 5

In what ratio must rice at ₹24/kg be mixed with rice at ₹36/kg so that the mixture costs ₹25/kg?

  1. A12 : 1
  2. B11 : 1
  3. C1 : 11
  4. D2 : 3
Show answer
Answer: (B) 11 : 1 By alligation, ratio = (36 − 25) : (25 − 24) = 11 : 1.
Question 6

In what ratio must rice at ₹30/kg be mixed with rice at ₹45/kg so that the mixture costs ₹33/kg?

  1. A13 : 3
  2. B1 : 1
  3. C4 : 1
  4. D2 : 3
Show answer
Answer: (C) 4 : 1 By alligation, ratio = (45 − 33) : (33 − 30) = 4 : 1.
Question 7

In what ratio must rice at ₹50/kg be mixed with rice at ₹80/kg so that the mixture costs ₹56/kg?

  1. A4 : 1
  2. B1 : 1
  3. C5 : 8
  4. D1 : 4
Show answer
Answer: (A) 4 : 1 By alligation, ratio = (80 − 56) : (56 − 50) = 4 : 1.
Question 8

In what ratio must rice at ₹50/kg be mixed with rice at ₹80/kg so that the mixture costs ₹76/kg?

  1. A2 : 13
  2. B5 : 8
  3. C13 : 2
  4. D1 : 1
Show answer
Answer: (A) 2 : 13 By alligation, ratio = (80 − 76) : (76 − 50) = 2 : 13.
Question 9

In what ratio must rice at ₹15/kg be mixed with rice at ₹25/kg so that the mixture costs ₹18/kg?

  1. A8 : 3
  2. B7 : 3
  3. C3 : 5
  4. D3 : 7
Show answer
Answer: (B) 7 : 3 By alligation, ratio = (25 − 18) : (18 − 15) = 7 : 3.
Question 10

In what ratio must rice at ₹30/kg be mixed with rice at ₹45/kg so that the mixture costs ₹42/kg?

  1. A2 : 3
  2. B4 : 1
  3. C1 : 4
  4. D1 : 1
Show answer
Answer: (C) 1 : 4 By alligation, ratio = (45 − 42) : (42 − 30) = 1 : 4.

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Question 11

In what ratio must rice at ₹50/kg be mixed with rice at ₹80/kg so that the mixture costs ₹51/kg?

  1. A1 : 1
  2. B29 : 1
  3. C1 : 29
  4. D30 : 1
Show answer
Answer: (B) 29 : 1 By alligation, ratio = (80 − 51) : (51 − 50) = 29 : 1.
Question 12

In what ratio must rice at ₹40/kg be mixed with rice at ₹60/kg so that the mixture costs ₹53/kg?

  1. A1 : 1
  2. B7 : 13
  3. C13 : 7
  4. D2 : 3
Show answer
Answer: (B) 7 : 13 By alligation, ratio = (60 − 53) : (53 − 40) = 7 : 13.
Question 13

In what ratio must rice at ₹20/kg be mixed with rice at ₹30/kg so that the mixture costs ₹24/kg?

  1. A3 : 2
  2. B1 : 1
  3. C2 : 3
  4. D7 : 4
Show answer
Answer: (A) 3 : 2 By alligation, ratio = (30 − 24) : (24 − 20) = 3 : 2.
Question 14

In what ratio must rice at ₹40/kg be mixed with rice at ₹60/kg so that the mixture costs ₹54/kg?

  1. A3 : 7
  2. B1 : 1
  3. C2 : 3
  4. D1 : 2
Show answer
Answer: (A) 3 : 7 By alligation, ratio = (60 − 54) : (54 − 40) = 3 : 7.
Question 15

In what ratio must rice at ₹15/kg be mixed with rice at ₹25/kg so that the mixture costs ₹16/kg?

  1. A1 : 9
  2. B9 : 1
  3. C10 : 1
  4. D3 : 5
Show answer
Answer: (B) 9 : 1 By alligation, ratio = (25 − 16) : (16 − 15) = 9 : 1.
Question 16

In what ratio must rice at ₹15/kg be mixed with rice at ₹25/kg so that the mixture costs ₹19/kg?

  1. A2 : 3
  2. B7 : 4
  3. C1 : 1
  4. D3 : 2
Show answer
Answer: (D) 3 : 2 By alligation, ratio = (25 − 19) : (19 − 15) = 3 : 2.
Question 17

In what ratio must rice at ₹24/kg be mixed with rice at ₹36/kg so that the mixture costs ₹27/kg?

  1. A2 : 3
  2. B3 : 1
  3. C1 : 3
  4. D10 : 3
Show answer
Answer: (B) 3 : 1 By alligation, ratio = (36 − 27) : (27 − 24) = 3 : 1.

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

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