CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
A mixture contains 25 L milk and 8 L water. What percentage of the mixture is water?
A. 32.00%
B. 75.76%
C. 29.24%
D. 24.24%
Correct Answer: D
Water percentage = 8/33×100 = 24.24%.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
2 litres at Rs. 16/L are mixed with 3 litres at Rs. 38/L. What is the average cost per litre?
A. Rs. 29.20
B. Rs. 54.00
C. Rs. 31.20
D. Rs. 27.00
Correct Answer: A
Weighted average = (2×16+3×38)/5 = Rs. 29.20/L.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
In what ratio should a solution costing Rs. 15 per litre be mixed with one costing Rs. 37 per litre to obtain a mixture costing Rs. 26 per litre?
A. 1:1
B. 22:11
C. 1:1-1
D. 1:1-2
Correct Answer: A
By alligation, cheaper:dearer = (37−26):(26−15) = 1:1.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
Two solutions contain 29% and 74% of a substance. In what ratio should they be mixed to obtain a 51% solution?
A. 2:1
B. 1:2
C. 22:23
D. 23:22
Correct Answer: D
By alligation, ratio = (74−51):(51−29) = 23:22.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
A mixture contains 40 L milk and 9 L water. What percentage of the mixture is water?
A. 81.63%
B. 22.50%
C. 18.37%
D. 23.37%
Correct Answer: C
Water percentage = 9/49×100 = 18.37%.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
5 litres at Rs. 11/L are mixed with 5 litres at Rs. 33/L. What is the average cost per litre?
A. Rs. 22.00
B. Rs. 22.00-1
C. Rs. 24.00
D. Rs. 44.00
Correct Answer: A
Weighted average = (5×11+5×33)/10 = Rs. 22.00/L.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
In what ratio should a solution costing Rs. 10 per litre be mixed with one costing Rs. 32 per litre to obtain a mixture costing Rs. 21 per litre?
A. 22:11
B. 1:1-1
C. 1:1-2
D. 1:1
Correct Answer: D
By alligation, cheaper:dearer = (32−21):(21−10) = 1:1.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
Two solutions contain 24% and 69% of a substance. In what ratio should they be mixed to obtain a 46% solution?
A. 22:23
B. 1:2
C. 23:22
D. 2:1
Correct Answer: C
By alligation, ratio = (69−46):(46−24) = 23:22.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
A mixture contains 55 L milk and 10 L water. What percentage of the mixture is water?
A. 84.62%
B. 15.38%
C. 18.18%
D. 20.38%
Correct Answer: B
Water percentage = 10/65×100 = 15.38%.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
8 litres at Rs. 16/L are mixed with 7 litres at Rs. 40/L. What is the average cost per litre?
A. Rs. 56.00
B. Rs. 28.00
C. Rs. 27.20
D. Rs. 29.20
Correct Answer: C
Weighted average = (8×16+7×40)/15 = Rs. 27.20/L.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
In what ratio should a solution costing Rs. 15 per litre be mixed with one costing Rs. 39 per litre to obtain a mixture costing Rs. 27 per litre?
A. 24:12
B. 1:1
C. 1:1-1
D. 1:1-2
Correct Answer: B
By alligation, cheaper:dearer = (39−27):(27−15) = 1:1.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
Two solutions contain 34% and 64% of a substance. In what ratio should they be mixed to obtain a 49% solution?
A. 1:2
B. 2:1
C. 1:1-1
D. 1:1
Correct Answer: D
By alligation, ratio = (64−49):(49−34) = 1:1.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
A mixture contains 30 L milk and 5 L water. What percentage of the mixture is water?
A. 19.29%
B. 85.71%
C. 16.67%
D. 14.29%
Correct Answer: D
Water percentage = 5/35×100 = 14.29%.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
3 litres at Rs. 11/L are mixed with 9 litres at Rs. 35/L. What is the average cost per litre?
A. Rs. 31.00
B. Rs. 29.00
C. Rs. 46.00
D. Rs. 23.00
Correct Answer: B
Weighted average = (3×11+9×35)/12 = Rs. 29.00/L.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
In what ratio should a solution costing Rs. 10 per litre be mixed with one costing Rs. 34 per litre to obtain a mixture costing Rs. 22 per litre?
A. 1:1-2
B. 1:1
C. 1:1-1
D. 24:12
Correct Answer: B
By alligation, cheaper:dearer = (34−22):(22−10) = 1:1.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
Two solutions contain 29% and 79% of a substance. In what ratio should they be mixed to obtain a 54% solution?
A. 1:2
B. 2:1
C. 1:1-1
D. 1:1
Correct Answer: D
By alligation, ratio = (79−54):(54−29) = 1:1.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
A mixture contains 45 L milk and 6 L water. What percentage of the mixture is water?
A. 88.24%
B. 16.76%
C. 11.76%
D. 13.33%
Correct Answer: C
Water percentage = 6/51×100 = 11.76%.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
6 litres at Rs. 16/L are mixed with 4 litres at Rs. 30/L. What is the average cost per litre?
A. Rs. 46.00
B. Rs. 23.60
C. Rs. 23.00
D. Rs. 21.60
Correct Answer: D
Weighted average = (6×16+4×30)/10 = Rs. 21.60/L.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
In what ratio should a solution costing Rs. 15 per litre be mixed with one costing Rs. 41 per litre to obtain a mixture costing Rs. 28 per litre?
A. 26:13
B. 1:1-2
C. 1:1
D. 1:1-1
Correct Answer: C
By alligation, cheaper:dearer = (41−28):(28−15) = 1:1.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
Two solutions contain 24% and 74% of a substance. In what ratio should they be mixed to obtain a 49% solution?
A. 1:1-1
B. 1:2
C. 1:1
D. 2:1
Correct Answer: C
By alligation, ratio = (74−49):(49−24) = 1:1.