In what ratio must rice at ₹30/kg be mixed with rice at ₹45/kg so that the mixture costs ₹37/kg?
- A7 : 8
- B9 : 7
- C1 : 1
- D8 : 7
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Answer: (D) 8 : 7
By alligation, ratio = (45 − 37) : (37 − 30) = 8 : 7.
BARC OCES/DGFS Mixture & Alligation Questions with Answers & Explanations
16 Mixture & Alligation questions from the Quantitative Aptitude section of BARC OCES/DGFS, 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.
In what ratio must rice at ₹24/kg be mixed with rice at ₹36/kg so that the mixture costs ₹29/kg?
- A5 : 7
- B8 : 5
- C7 : 5
- D1 : 1
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Answer: (C) 7 : 5
By alligation, ratio = (36 − 29) : (29 − 24) = 7 : 5.
In what ratio must rice at ₹24/kg be mixed with rice at ₹36/kg so that the mixture costs ₹25/kg?
- A1 : 11
- B11 : 1
- C2 : 3
- D1 : 1
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Answer: (B) 11 : 1
By alligation, ratio = (36 − 25) : (25 − 24) = 11 : 1.
In what ratio must rice at ₹50/kg be mixed with rice at ₹80/kg so that the mixture costs ₹76/kg?
- A2 : 13
- B1 : 1
- C5 : 26
- D13 : 2
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Answer: (A) 2 : 13
By alligation, ratio = (80 − 76) : (76 − 50) = 2 : 13.
In what ratio must rice at ₹15/kg be mixed with rice at ₹25/kg so that the mixture costs ₹21/kg?
- A3 : 2
- B1 : 1
- C2 : 3
- D5 : 6
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Answer: (C) 2 : 3
By alligation, ratio = (25 − 21) : (21 − 15) = 2 : 3.
In what ratio must rice at ₹50/kg be mixed with rice at ₹80/kg so that the mixture costs ₹70/kg?
- A5 : 8
- B1 : 1
- C1 : 2
- D11 : 20
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Answer: (C) 1 : 2
By alligation, ratio = (80 − 70) : (70 − 50) = 1 : 2.
In what ratio must rice at ₹20/kg be mixed with rice at ₹30/kg so that the mixture costs ₹25/kg?
- A2 : 3
- B1 : 1
- C1 : 2
- D6 : 5
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Answer: (B) 1 : 1
By alligation, ratio = (30 − 25) : (25 − 20) = 1 : 1.
In what ratio must rice at ₹30/kg be mixed with rice at ₹45/kg so that the mixture costs ₹44/kg?
- A2 : 3
- B1 : 1
- C1 : 7
- D1 : 14
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Answer: (D) 1 : 14
By alligation, ratio = (45 − 44) : (44 − 30) = 1 : 14.
In what ratio must rice at ₹40/kg be mixed with rice at ₹60/kg so that the mixture costs ₹55/kg?
- A2 : 3
- B2 : 5
- C1 : 1
- D1 : 3
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Answer: (D) 1 : 3
By alligation, ratio = (60 − 55) : (55 − 40) = 1 : 3.
In what ratio must rice at ₹24/kg be mixed with rice at ₹36/kg so that the mixture costs ₹26/kg?
- A2 : 3
- B1 : 5
- C1 : 1
- D5 : 1
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Answer: (D) 5 : 1
By alligation, ratio = (36 − 26) : (26 − 24) = 5 : 1.
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Timed Quantitative Aptitude test · 15 questions · instant rank
In what ratio must rice at ₹50/kg be mixed with rice at ₹80/kg so that the mixture costs ₹61/kg?
- A11 : 19
- B20 : 11
- C5 : 8
- D19 : 11
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Answer: (D) 19 : 11
By alligation, ratio = (80 − 61) : (61 − 50) = 19 : 11.
In what ratio must rice at ₹40/kg be mixed with rice at ₹60/kg so that the mixture costs ₹52/kg?
- A2 : 3
- B3 : 2
- C3 : 4
- D1 : 1
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Answer: (A) 2 : 3
By alligation, ratio = (60 − 52) : (52 − 40) = 2 : 3.
In what ratio must rice at ₹15/kg be mixed with rice at ₹25/kg so that the mixture costs ₹16/kg?
- A9 : 1
- B1 : 1
- C10 : 1
- D1 : 9
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Answer: (A) 9 : 1
By alligation, ratio = (25 − 16) : (16 − 15) = 9 : 1.
In what ratio must rice at ₹50/kg be mixed with rice at ₹80/kg so that the mixture costs ₹67/kg?
- A1 : 1
- B14 : 17
- C13 : 17
- D17 : 13
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Answer: (C) 13 : 17
By alligation, ratio = (80 − 67) : (67 − 50) = 13 : 17.
In what ratio must rice at ₹20/kg be mixed with rice at ₹30/kg so that the mixture costs ₹21/kg?
- A10 : 1
- B1 : 1
- C9 : 1
- D1 : 9
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Answer: (C) 9 : 1
By alligation, ratio = (30 − 21) : (21 − 20) = 9 : 1.
In what ratio must rice at ₹20/kg be mixed with rice at ₹30/kg so that the mixture costs ₹28/kg?
- A1 : 1
- B1 : 4
- C2 : 3
- D3 : 8
Show answer
Answer: (B) 1 : 4
By alligation, ratio = (30 − 28) : (28 − 20) = 1 : 4.
These are RankerClub practice questions written in the BARC OCES/DGFS pattern. They are not official SSC/IBPS/RRB papers.
