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SBI PO Mixture & Alligation Questions with Answers & Explanations

20 Mixture & Alligation questions from the Quantitative Aptitude section of SBI PO, 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 ₹24/kg be mixed with rice at ₹36/kg so that the mixture costs ₹34/kg?

  1. A1 : 5
  2. B5 : 1
  3. C3 : 10
  4. D1 : 1
  5. E2 : 3
Show answer
Answer: (A) 1 : 5 By alligation, ratio = (36 − 34) : (34 − 24) = 1 : 5.
Question 2

In what ratio must rice at ₹50/kg be mixed with rice at ₹80/kg so that the mixture costs ₹61/kg?

  1. A19 : 11
  2. B5 : 8
  3. C11 : 19
  4. D1 : 1
  5. E20 : 11
Show answer
Answer: (A) 19 : 11 By alligation, ratio = (80 − 61) : (61 − 50) = 19 : 11.
Question 3

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 : 1
  4. D1 : 11
  5. E2 : 3
Show answer
Answer: (B) 11 : 1 By alligation, ratio = (36 − 25) : (25 − 24) = 11 : 1.
Question 4

In what ratio must rice at ₹50/kg be mixed with rice at ₹80/kg so that the mixture costs ₹65/kg?

  1. A1 : 1
  2. B16 : 15
  3. C1 : 2
  4. D5 : 8
  5. ENone of these
Show answer
Answer: (A) 1 : 1 By alligation, ratio = (80 − 65) : (65 − 50) = 1 : 1.
Question 5

In what ratio must rice at ₹30/kg be mixed with rice at ₹45/kg so that the mixture costs ₹32/kg?

  1. A2 : 3
  2. B2 : 13
  3. C7 : 1
  4. D1 : 1
  5. E13 : 2
Show answer
Answer: (E) 13 : 2 By alligation, ratio = (45 − 32) : (32 − 30) = 13 : 2.
Question 6

In what ratio must rice at ₹40/kg be mixed with rice at ₹60/kg so that the mixture costs ₹49/kg?

  1. A11 : 9
  2. B2 : 3
  3. C4 : 3
  4. D9 : 11
  5. E1 : 1
Show answer
Answer: (A) 11 : 9 By alligation, ratio = (60 − 49) : (49 − 40) = 11 : 9.
Question 7

In what ratio must rice at ₹30/kg be mixed with rice at ₹45/kg so that the mixture costs ₹34/kg?

  1. A1 : 1
  2. B11 : 4
  3. C2 : 3
  4. D4 : 11
  5. E3 : 1
Show answer
Answer: (B) 11 : 4 By alligation, ratio = (45 − 34) : (34 − 30) = 11 : 4.
Question 8

In what ratio must rice at ₹15/kg be mixed with rice at ₹25/kg so that the mixture costs ₹22/kg?

  1. A4 : 7
  2. B7 : 3
  3. C3 : 7
  4. D3 : 5
  5. E1 : 1
Show answer
Answer: (C) 3 : 7 By alligation, ratio = (25 − 22) : (22 − 15) = 3 : 7.
Question 9

In what ratio must rice at ₹50/kg be mixed with rice at ₹80/kg so that the mixture costs ₹79/kg?

  1. A5 : 8
  2. B2 : 29
  3. C1 : 1
  4. D29 : 1
  5. E1 : 29
Show answer
Answer: (E) 1 : 29 By alligation, ratio = (80 − 79) : (79 − 50) = 1 : 29.
Question 10

In what ratio must rice at ₹50/kg be mixed with rice at ₹80/kg so that the mixture costs ₹53/kg?

  1. A28 : 3
  2. B1 : 9
  3. C9 : 1
  4. D1 : 1
  5. E5 : 8
Show answer
Answer: (C) 9 : 1 By alligation, ratio = (80 − 53) : (53 − 50) = 9 : 1.

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Question 11

In what ratio must rice at ₹24/kg be mixed with rice at ₹36/kg so that the mixture costs ₹26/kg?

  1. A1 : 5
  2. B1 : 1
  3. C5 : 1
  4. D2 : 3
  5. E11 : 2
Show answer
Answer: (C) 5 : 1 By alligation, ratio = (36 − 26) : (26 − 24) = 5 : 1.
Question 12

In what ratio must rice at ₹30/kg be mixed with rice at ₹45/kg so that the mixture costs ₹36/kg?

  1. A5 : 3
  2. B3 : 2
  3. C2 : 3
  4. D1 : 1
  5. ENone of these
Show answer
Answer: (B) 3 : 2 By alligation, ratio = (45 − 36) : (36 − 30) = 3 : 2.
Question 13

In what ratio must rice at ₹20/kg be mixed with rice at ₹30/kg so that the mixture costs ₹26/kg?

  1. A3 : 2
  2. B1 : 1
  3. C5 : 6
  4. D2 : 3
  5. ENone of these
Show answer
Answer: (D) 2 : 3 By alligation, ratio = (30 − 26) : (26 − 20) = 2 : 3.
Question 14

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
  5. ENone of these
Show answer
Answer: (A) 3 : 2 By alligation, ratio = (30 − 24) : (24 − 20) = 3 : 2.
Question 15

In what ratio must rice at ₹24/kg be mixed with rice at ₹36/kg so that the mixture costs ₹28/kg?

  1. A9 : 4
  2. B1 : 2
  3. C2 : 1
  4. D1 : 1
  5. E2 : 3
Show answer
Answer: (C) 2 : 1 By alligation, ratio = (36 − 28) : (28 − 24) = 2 : 1.
Question 16

In what ratio must rice at ₹30/kg be mixed with rice at ₹45/kg so that the mixture costs ₹40/kg?

  1. A1 : 2
  2. B1 : 1
  3. C2 : 1
  4. D2 : 3
  5. E3 : 5
Show answer
Answer: (A) 1 : 2 By alligation, ratio = (45 − 40) : (40 − 30) = 1 : 2.
Question 17

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

  1. A30 : 1
  2. B1 : 1
  3. C29 : 1
  4. D1 : 29
  5. E5 : 8
Show answer
Answer: (C) 29 : 1 By alligation, ratio = (80 − 51) : (51 − 50) = 29 : 1.
Question 18

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

  1. A1 : 1
  2. B2 : 3
  3. C7 : 4
  4. D3 : 2
  5. ENone of these
Show answer
Answer: (D) 3 : 2 By alligation, ratio = (30 − 24) : (24 − 20) = 3 : 2.
Question 19

In what ratio must rice at ₹50/kg be mixed with rice at ₹80/kg so that the mixture costs ₹73/kg?

  1. A5 : 8
  2. B8 : 23
  3. C1 : 1
  4. D7 : 23
  5. E23 : 7
Show answer
Answer: (D) 7 : 23 By alligation, ratio = (80 − 73) : (73 − 50) = 7 : 23.
Question 20

In what ratio must rice at ₹15/kg be mixed with rice at ₹25/kg so that the mixture costs ₹17/kg?

  1. A1 : 1
  2. B3 : 5
  3. C1 : 4
  4. D9 : 2
  5. E4 : 1
Show answer
Answer: (E) 4 : 1 By alligation, ratio = (25 − 17) : (17 − 15) = 4 : 1.

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

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