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IBPS Clerk Mixture & Alligation Questions with Answers & Explanations

17 Mixture & Alligation questions from the Numerical Ability section of IBPS Clerk, 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 ₹20/kg be mixed with rice at ₹30/kg so that the mixture costs ₹27/kg?

  1. A2 : 3
  2. B1 : 1
  3. C7 : 3
  4. D3 : 7
  5. E4 : 7
Show answer
Answer: (D) 3 : 7 By alligation, ratio = (30 − 27) : (27 − 20) = 3 : 7.
Question 2

In what ratio must rice at ₹24/kg be mixed with rice at ₹36/kg so that the mixture costs ₹31/kg?

  1. A6 : 7
  2. B2 : 3
  3. C7 : 5
  4. D1 : 1
  5. E5 : 7
Show answer
Answer: (E) 5 : 7 By alligation, ratio = (36 − 31) : (31 − 24) = 5 : 7.
Question 3

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

  1. A1 : 1
  2. B1 : 2
  3. C2 : 3
  4. D2 : 1
  5. E9 : 4
Show answer
Answer: (D) 2 : 1 By alligation, ratio = (36 − 28) : (28 − 24) = 2 : 1.
Question 4

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. B3 : 5
  3. C3 : 7
  4. D1 : 1
  5. E7 : 3
Show answer
Answer: (C) 3 : 7 By alligation, ratio = (25 − 22) : (22 − 15) = 3 : 7.
Question 5

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. B2 : 1
  3. C1 : 1
  4. D3 : 5
  5. E2 : 3
Show answer
Answer: (A) 1 : 2 By alligation, ratio = (45 − 40) : (40 − 30) = 1 : 2.
Question 6

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

  1. A7 : 1
  2. B2 : 13
  3. C2 : 3
  4. D13 : 2
  5. E1 : 1
Show answer
Answer: (D) 13 : 2 By alligation, ratio = (45 − 32) : (32 − 30) = 13 : 2.
Question 7

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. B1 : 1
  3. C3 : 1
  4. D1 : 3
  5. E10 : 3
Show answer
Answer: (C) 3 : 1 By alligation, ratio = (36 − 27) : (27 − 24) = 3 : 1.
Question 8

In what ratio must rice at ₹24/kg be mixed with rice at ₹36/kg so that the mixture costs ₹29/kg?

  1. A1 : 1
  2. B8 : 5
  3. C7 : 5
  4. D5 : 7
  5. E2 : 3
Show answer
Answer: (C) 7 : 5 By alligation, ratio = (36 − 29) : (29 − 24) = 7 : 5.
Question 9

In what ratio must rice at ₹20/kg be mixed with rice at ₹30/kg so that the mixture costs ₹21/kg?

  1. A10 : 1
  2. B1 : 1
  3. C9 : 1
  4. D1 : 9
  5. E2 : 3
Show answer
Answer: (C) 9 : 1 By alligation, ratio = (30 − 21) : (21 − 20) = 9 : 1.
Question 10

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

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

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Question 11

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

  1. A3 : 5
  2. B1 : 1
  3. C3 : 2
  4. D2 : 3
  5. E5 : 6
Show answer
Answer: (D) 2 : 3 By alligation, ratio = (25 − 21) : (21 − 15) = 2 : 3.
Question 12

In what ratio must rice at ₹50/kg be mixed with rice at ₹80/kg so that the mixture costs ₹64/kg?

  1. A5 : 8
  2. B17 : 14
  3. C1 : 1
  4. D7 : 8
  5. E8 : 7
Show answer
Answer: (E) 8 : 7 By alligation, ratio = (80 − 64) : (64 − 50) = 8 : 7.
Question 13

In what ratio must rice at ₹24/kg be mixed with rice at ₹36/kg so that the mixture costs ₹32/kg?

  1. A2 : 3
  2. B2 : 1
  3. C1 : 1
  4. D1 : 2
  5. E5 : 8
Show answer
Answer: (D) 1 : 2 By alligation, ratio = (36 − 32) : (32 − 24) = 1 : 2.
Question 14

In what ratio must rice at ₹50/kg be mixed with rice at ₹80/kg so that the mixture costs ₹55/kg?

  1. A5 : 8
  2. B26 : 5
  3. C1 : 1
  4. D5 : 1
  5. E1 : 5
Show answer
Answer: (D) 5 : 1 By alligation, ratio = (80 − 55) : (55 − 50) = 5 : 1.
Question 15

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

  1. A2 : 3
  2. B1 : 1
  3. C11 : 5
  4. D1 : 2
  5. E2 : 1
Show answer
Answer: (E) 2 : 1 By alligation, ratio = (45 − 35) : (35 − 30) = 2 : 1.
Question 16

In what ratio must rice at ₹30/kg be mixed with rice at ₹45/kg so that the mixture costs ₹41/kg?

  1. A2 : 3
  2. B1 : 1
  3. C5 : 11
  4. D4 : 11
  5. E11 : 4
Show answer
Answer: (D) 4 : 11 By alligation, ratio = (45 − 41) : (41 − 30) = 4 : 11.
Question 17

In what ratio must rice at ₹15/kg be mixed with rice at ₹25/kg so that the mixture costs ₹20/kg?

  1. A1 : 1
  2. B3 : 5
  3. C6 : 5
  4. D1 : 2
  5. ENone of these
Show answer
Answer: (A) 1 : 1 By alligation, ratio = (25 − 20) : (20 − 15) = 1 : 1.

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