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MAT Mixture & Alligation Questions with Answers & Explanations

17 Mixture & Alligation questions from the Mathematical Skills section of MAT, 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 ₹29/kg?

  1. A2 : 9
  2. B2 : 3
  3. C1 : 1
  4. D1 : 9
Show answer
Answer: (D) 1 : 9 By alligation, ratio = (30 − 29) : (29 − 20) = 1 : 9.
Question 2

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

  1. A3 : 5
  2. B2 : 1
  3. C1 : 2
  4. D1 : 1
Show answer
Answer: (C) 1 : 2 By alligation, ratio = (45 − 40) : (40 − 30) = 1 : 2.
Question 3

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 : 3
  4. D1 : 4
Show answer
Answer: (D) 1 : 4 By alligation, ratio = (45 − 42) : (42 − 30) = 1 : 4.
Question 4

In what ratio must rice at ₹50/kg be mixed with rice at ₹80/kg so that the mixture costs ₹69/kg?

  1. A11 : 19
  2. B1 : 1
  3. C12 : 19
  4. D19 : 11
Show answer
Answer: (A) 11 : 19 By alligation, ratio = (80 − 69) : (69 − 50) = 11 : 19.
Question 5

In what ratio must rice at ₹50/kg be mixed with rice at ₹80/kg so that the mixture costs ₹63/kg?

  1. A1 : 1
  2. B13 : 17
  3. C17 : 13
  4. D5 : 8
Show answer
Answer: (C) 17 : 13 By alligation, ratio = (80 − 63) : (63 − 50) = 17 : 13.
Question 6

In what ratio must rice at ₹40/kg be mixed with rice at ₹60/kg so that the mixture costs ₹48/kg?

  1. A2 : 3
  2. B13 : 8
  3. C3 : 2
  4. D1 : 1
Show answer
Answer: (C) 3 : 2 By alligation, ratio = (60 − 48) : (48 − 40) = 3 : 2.
Question 7

In what ratio must rice at ₹30/kg be mixed with rice at ₹45/kg so that the mixture costs ₹39/kg?

  1. A3 : 2
  2. B7 : 9
  3. C1 : 1
  4. D2 : 3
Show answer
Answer: (D) 2 : 3 By alligation, ratio = (45 − 39) : (39 − 30) = 2 : 3.
Question 8

In what ratio must rice at ₹40/kg be mixed with rice at ₹60/kg so that the mixture costs ₹42/kg?

  1. A1 : 9
  2. B19 : 2
  3. C2 : 3
  4. D9 : 1
Show answer
Answer: (D) 9 : 1 By alligation, ratio = (60 − 42) : (42 − 40) = 9 : 1.
Question 9

In what ratio must rice at ₹40/kg be mixed with rice at ₹60/kg so that the mixture costs ₹52/kg?

  1. A3 : 4
  2. B1 : 1
  3. C2 : 3
  4. D3 : 2
Show answer
Answer: (C) 2 : 3 By alligation, ratio = (60 − 52) : (52 − 40) = 2 : 3.
Question 10

In what ratio must rice at ₹40/kg be mixed with rice at ₹60/kg so that the mixture costs ₹41/kg?

  1. A1 : 1
  2. B19 : 1
  3. C20 : 1
  4. D2 : 3
Show answer
Answer: (B) 19 : 1 By alligation, ratio = (60 − 41) : (41 − 40) = 19 : 1.

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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 ₹65/kg?

  1. A16 : 15
  2. B5 : 8
  3. C1 : 1
  4. D1 : 2
Show answer
Answer: (C) 1 : 1 By alligation, ratio = (80 − 65) : (65 − 50) = 1 : 1.
Question 12

In what ratio must rice at ₹24/kg be mixed with rice at ₹36/kg so that the mixture costs ₹30/kg?

  1. A7 : 6
  2. B2 : 3
  3. C1 : 1
  4. D1 : 2
Show answer
Answer: (C) 1 : 1 By alligation, ratio = (36 − 30) : (30 − 24) = 1 : 1.
Question 13

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

  1. A9 : 1
  2. B2 : 3
  3. C1 : 1
  4. D10 : 1
Show answer
Answer: (A) 9 : 1 By alligation, ratio = (30 − 21) : (21 − 20) = 9 : 1.
Question 14

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

  1. A2 : 3
  2. B3 : 2
  3. C5 : 3
  4. D1 : 1
Show answer
Answer: (B) 3 : 2 By alligation, ratio = (45 − 36) : (36 − 30) = 3 : 2.
Question 15

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

  1. A10 : 3
  2. B1 : 1
  3. C3 : 1
  4. D1 : 3
Show answer
Answer: (C) 3 : 1 By alligation, ratio = (36 − 27) : (27 − 24) = 3 : 1.
Question 16

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

  1. A1 : 1
  2. B2 : 3
  3. C5 : 6
  4. D3 : 2
Show answer
Answer: (B) 2 : 3 By alligation, ratio = (30 − 26) : (26 − 20) = 2 : 3.
Question 17

In what ratio must rice at ₹30/kg be mixed with rice at ₹45/kg so that the mixture costs ₹37/kg?

  1. A8 : 7
  2. B2 : 3
  3. C7 : 8
  4. D9 : 7
Show answer
Answer: (A) 8 : 7 By alligation, ratio = (45 − 37) : (37 − 30) = 8 : 7.

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