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RBI Grade B Mixture & Alligation Questions with Answers & Explanations

18 Mixture & Alligation questions from the Quantitative Aptitude section of RBI Grade B, 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‚Ή20/kg be mixed with rice at β‚Ή30/kg so that the mixture costs β‚Ή29/kg?

  1. A2 : 3
  2. B2 : 9
  3. C9 : 1
  4. D1 : 9
  5. E1 : 1
Show answer
Answer: (D) 1 : 9 By alligation, ratio = (30 βˆ’ 29) : (29 βˆ’ 20) = 1 : 9.
Question 2

In what ratio must rice at β‚Ή15/kg be mixed with rice at β‚Ή25/kg so that the mixture costs β‚Ή16/kg?

  1. A10 : 1
  2. B3 : 5
  3. C9 : 1
  4. D1 : 9
  5. E1 : 1
Show answer
Answer: (C) 9 : 1 By alligation, ratio = (25 βˆ’ 16) : (16 βˆ’ 15) = 9 : 1.
Question 3

In what ratio must rice at β‚Ή24/kg be mixed with rice at β‚Ή36/kg so that the mixture costs β‚Ή26/kg?

  1. A5 : 1
  2. B1 : 1
  3. C1 : 5
  4. D2 : 3
  5. E11 : 2
Show answer
Answer: (A) 5 : 1 By alligation, ratio = (36 βˆ’ 26) : (26 βˆ’ 24) = 5 : 1.
Question 4

In what ratio must rice at β‚Ή50/kg be mixed with rice at β‚Ή80/kg so that the mixture costs β‚Ή74/kg?

  1. A1 : 1
  2. B1 : 4
  3. C5 : 8
  4. D4 : 1
  5. E7 : 24
Show answer
Answer: (B) 1 : 4 By alligation, ratio = (80 βˆ’ 74) : (74 βˆ’ 50) = 1 : 4.
Question 5

In what ratio must rice at β‚Ή24/kg be mixed with rice at β‚Ή36/kg so that the mixture costs β‚Ή31/kg?

  1. A5 : 7
  2. B7 : 5
  3. C1 : 1
  4. D2 : 3
  5. E6 : 7
Show answer
Answer: (A) 5 : 7 By alligation, ratio = (36 βˆ’ 31) : (31 βˆ’ 24) = 5 : 7.
Question 6

In what ratio must rice at β‚Ή30/kg be mixed with rice at β‚Ή45/kg so that the mixture costs β‚Ή39/kg?

  1. A1 : 1
  2. B3 : 2
  3. C7 : 9
  4. D2 : 3
  5. ENone of these
Show answer
Answer: (D) 2 : 3 By alligation, ratio = (45 βˆ’ 39) : (39 βˆ’ 30) = 2 : 3.
Question 7

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. A4 : 11
  2. B11 : 4
  3. C2 : 3
  4. D3 : 1
  5. E1 : 1
Show answer
Answer: (B) 11 : 4 By alligation, ratio = (45 βˆ’ 34) : (34 βˆ’ 30) = 11 : 4.
Question 8

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. A2 : 1
  2. B1 : 2
  3. C11 : 5
  4. D2 : 3
  5. E1 : 1
Show answer
Answer: (A) 2 : 1 By alligation, ratio = (45 βˆ’ 35) : (35 βˆ’ 30) = 2 : 1.
Question 9

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. B1 : 1
  3. C7 : 13
  4. D2 : 3
  5. E8 : 13
Show answer
Answer: (C) 7 : 13 By alligation, ratio = (60 βˆ’ 53) : (53 βˆ’ 40) = 7 : 13.
Question 10

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. B9 : 1
  3. C1 : 1
  4. D2 : 3
  5. E1 : 9
Show answer
Answer: (B) 9 : 1 By alligation, ratio = (60 βˆ’ 42) : (42 βˆ’ 40) = 9 : 1.

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Question 11

In what ratio must rice at β‚Ή24/kg be mixed with rice at β‚Ή36/kg so that the mixture costs β‚Ή32/kg?

  1. A2 : 3
  2. B2 : 1
  3. C1 : 2
  4. D1 : 1
  5. E5 : 8
Show answer
Answer: (C) 1 : 2 By alligation, ratio = (36 βˆ’ 32) : (32 βˆ’ 24) = 1 : 2.
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‚Ή41/kg?

  1. A20 : 1
  2. B1 : 1
  3. C1 : 19
  4. D19 : 1
  5. E2 : 3
Show answer
Answer: (D) 19 : 1 By alligation, ratio = (60 βˆ’ 41) : (41 βˆ’ 40) = 19 : 1.
Question 13

In what ratio must rice at β‚Ή15/kg be mixed with rice at β‚Ή25/kg so that the mixture costs β‚Ή17/kg?

  1. A1 : 1
  2. B9 : 2
  3. C3 : 5
  4. D1 : 4
  5. E4 : 1
Show answer
Answer: (E) 4 : 1 By alligation, ratio = (25 βˆ’ 17) : (17 βˆ’ 15) = 4 : 1.
Question 14

In what ratio must rice at β‚Ή15/kg be mixed with rice at β‚Ή25/kg so that the mixture costs β‚Ή23/kg?

  1. A1 : 4
  2. B3 : 5
  3. C3 : 8
  4. D1 : 1
  5. E4 : 1
Show answer
Answer: (A) 1 : 4 By alligation, ratio = (25 βˆ’ 23) : (23 βˆ’ 15) = 1 : 4.
Question 15

In what ratio must rice at β‚Ή40/kg be mixed with rice at β‚Ή60/kg so that the mixture costs β‚Ή55/kg?

  1. A3 : 1
  2. B1 : 1
  3. C1 : 3
  4. D2 : 5
  5. E2 : 3
Show answer
Answer: (C) 1 : 3 By alligation, ratio = (60 βˆ’ 55) : (55 βˆ’ 40) = 1 : 3.
Question 16

In what ratio must rice at β‚Ή24/kg be mixed with rice at β‚Ή36/kg so that the mixture costs β‚Ή33/kg?

  1. A1 : 3
  2. B1 : 1
  3. C3 : 1
  4. D2 : 3
  5. E4 : 9
Show answer
Answer: (A) 1 : 3 By alligation, ratio = (36 βˆ’ 33) : (33 βˆ’ 24) = 1 : 3.
Question 17

In what ratio must rice at β‚Ή30/kg be mixed with rice at β‚Ή45/kg so that the mixture costs β‚Ή32/kg?

  1. A2 : 3
  2. B1 : 1
  3. C2 : 13
  4. D13 : 2
  5. E7 : 1
Show answer
Answer: (D) 13 : 2 By alligation, ratio = (45 βˆ’ 32) : (32 βˆ’ 30) = 13 : 2.
Question 18

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

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