🎯 RankerClub is 100% Free — 97 full-length mock tests with an instant all-India rank. Register Free →
RankerClub
Log in Get Started Free
Log in Register Free

SSC MTS Mixture & Alligation Questions with Answers & Explanations

18 Mixture & Alligation questions from the Session I: Numerical & Mathematical Ability section of SSC MTS, 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.

Take the Session I: Numerical & Mathematical Ability test → SSC MTS full mocks
Question 1

In what ratio must rice at ₹50/kg be mixed with rice at ₹80/kg so that the mixture costs ₹75/kg?

  1. A5 : 8
  2. B1 : 1
  3. C1 : 5
  4. D6 : 25
Show answer
Answer: (C) 1 : 5 By alligation, ratio = (80 − 75) : (75 − 50) = 1 : 5.
Question 2

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

  1. A2 : 3
  2. B3 : 2
  3. C1 : 1
  4. D7 : 9
Show answer
Answer: (A) 2 : 3 By alligation, ratio = (45 − 39) : (39 − 30) = 2 : 3.
Question 3

In what ratio must rice at ₹40/kg be mixed with rice at ₹60/kg so that the mixture costs ₹58/kg?

  1. A1 : 1
  2. B1 : 6
  3. C2 : 3
  4. D1 : 9
Show answer
Answer: (D) 1 : 9 By alligation, ratio = (60 − 58) : (58 − 40) = 1 : 9.
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. A3 : 5
  2. B3 : 7
  3. C7 : 3
  4. D1 : 1
Show answer
Answer: (B) 3 : 7 By alligation, ratio = (25 − 22) : (22 − 15) = 3 : 7.
Question 5

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. B1 : 2
  3. C6 : 5
  4. D3 : 5
Show answer
Answer: (A) 1 : 1 By alligation, ratio = (25 − 20) : (20 − 15) = 1 : 1.
Question 6

In what ratio must rice at ₹30/kg be mixed with rice at ₹45/kg so that the mixture costs ₹43/kg?

  1. A2 : 3
  2. B2 : 13
  3. C13 : 2
  4. D3 : 13
Show answer
Answer: (B) 2 : 13 By alligation, ratio = (45 − 43) : (43 − 30) = 2 : 13.
Question 7

In what ratio must rice at ₹24/kg be mixed with rice at ₹36/kg so that the mixture costs ₹33/kg?

  1. A1 : 3
  2. B3 : 1
  3. C2 : 3
  4. D4 : 9
Show answer
Answer: (A) 1 : 3 By alligation, ratio = (36 − 33) : (33 − 24) = 1 : 3.
Question 8

In what ratio must rice at ₹40/kg be mixed with rice at ₹60/kg so that the mixture costs ₹50/kg?

  1. A11 : 10
  2. B2 : 3
  3. C1 : 2
  4. D1 : 1
Show answer
Answer: (D) 1 : 1 By alligation, ratio = (60 − 50) : (50 − 40) = 1 : 1.
Question 9

In what ratio must rice at ₹50/kg be mixed with rice at ₹80/kg so that the mixture costs ₹52/kg?

  1. A1 : 14
  2. B29 : 2
  3. C14 : 1
  4. D5 : 8
Show answer
Answer: (C) 14 : 1 By alligation, ratio = (80 − 52) : (52 − 50) = 14 : 1.
Question 10

In what ratio must rice at ₹30/kg be mixed with rice at ₹45/kg so that the mixture costs ₹31/kg?

  1. A2 : 3
  2. B1 : 14
  3. C14 : 1
  4. D1 : 1
Show answer
Answer: (C) 14 : 1 By alligation, ratio = (45 − 31) : (31 − 30) = 14 : 1.

Ready for the real thing?
Timed Session I: Numerical & Mathematical Ability test · 20 questions · instant rank

Start free test
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. B5 : 6
  3. C3 : 2
  4. D2 : 3
Show answer
Answer: (D) 2 : 3 By alligation, ratio = (25 − 21) : (21 − 15) = 2 : 3.
Question 12

In what ratio must rice at ₹20/kg be mixed with rice at ₹30/kg so that the mixture costs ₹22/kg?

  1. A4 : 1
  2. B9 : 2
  3. C1 : 1
  4. D1 : 4
Show answer
Answer: (A) 4 : 1 By alligation, ratio = (30 − 22) : (22 − 20) = 4 : 1.
Question 13

In what ratio must rice at ₹15/kg be mixed with rice at ₹25/kg so that the mixture costs ₹24/kg?

  1. A1 : 9
  2. B1 : 1
  3. C9 : 1
  4. D2 : 9
Show answer
Answer: (A) 1 : 9 By alligation, ratio = (25 − 24) : (24 − 15) = 1 : 9.
Question 14

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

  1. A1 : 1
  2. B10 : 3
  3. C3 : 1
  4. D2 : 3
Show answer
Answer: (C) 3 : 1 By alligation, ratio = (36 − 27) : (27 − 24) = 3 : 1.
Question 15

In what ratio must rice at ₹15/kg be mixed with rice at ₹25/kg so that the mixture costs ₹16/kg?

  1. A3 : 5
  2. B1 : 1
  3. C10 : 1
  4. D9 : 1
Show answer
Answer: (D) 9 : 1 By alligation, ratio = (25 − 16) : (16 − 15) = 9 : 1.
Question 16

In what ratio must rice at ₹40/kg be mixed with rice at ₹60/kg so that the mixture costs ₹43/kg?

  1. A2 : 3
  2. B17 : 3
  3. C1 : 1
  4. D3 : 17
Show answer
Answer: (B) 17 : 3 By alligation, ratio = (60 − 43) : (43 − 40) = 17 : 3.
Question 17

In what ratio must rice at ₹15/kg be mixed with rice at ₹25/kg so that the mixture costs ₹23/kg?

  1. A1 : 4
  2. B4 : 1
  3. C1 : 1
  4. D3 : 8
Show answer
Answer: (A) 1 : 4 By alligation, ratio = (25 − 23) : (23 − 15) = 1 : 4.
Question 18

In what ratio must rice at ₹15/kg be mixed with rice at ₹25/kg so that the mixture costs ₹24/kg?

  1. A9 : 1
  2. B1 : 1
  3. C3 : 5
  4. D1 : 9
Show answer
Answer: (D) 1 : 9 By alligation, ratio = (25 − 24) : (24 − 15) = 1 : 9.

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

More Session I: Numerical & Mathematical Ability topics

Number System 27 Qs Profit, Loss & Discount 23 Qs Speed, Time & Distance 22 Qs Mensuration 21 Qs Simple & Compound Interest 19 Qs Simplification & Approximation 18 Qs Average 18 Qs Time & Work 17 Qs

All SSC MTS topics →