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.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
A mixture contains 20 L milk and 7 L water. What percentage of the mixture is water?
A. 35.00%
B. 74.07%
C. 25.93%
D. 30.93%
Correct Answer: C
Water percentage = 7/27×100 = 25.93%.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
9 litres at Rs. 11/L are mixed with 6 litres at Rs. 37/L. What is the average cost per litre?
A. Rs. 23.40
B. Rs. 24.00
C. Rs. 21.40
D. Rs. 48.00
Correct Answer: C
Weighted average = (9×11+6×37)/15 = Rs. 21.40/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. 36 per litre to obtain a mixture costing Rs. 23 per litre?
A. 1:1
B. 26:13
C. 1:1-2
D. 1:1-1
Correct Answer: A
By alligation, cheaper:dearer = (36−23):(23−10) = 1:1.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
Two solutions contain 34% and 69% of a substance. In what ratio should they be mixed to obtain a 51% solution?
A. 2:1
B. 17:18
C. 1:2
D. 18:17
Correct Answer: D
By alligation, ratio = (69−51):(51−34) = 18:17.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
A mixture contains 35 L milk and 8 L water. What percentage of the mixture is water?
A. 23.60%
B. 81.40%
C. 18.60%
D. 22.86%
Correct Answer: C
Water percentage = 8/43×100 = 18.60%.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
4 litres at Rs. 16/L are mixed with 8 litres at Rs. 32/L. What is the average cost per litre?
A. Rs. 24.00
B. Rs. 26.67
C. Rs. 28.67
D. Rs. 48.00
Correct Answer: B
Weighted average = (4×16+8×32)/12 = Rs. 26.67/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. 31 per litre to obtain a mixture costing Rs. 23 per litre?
A. 1:1-2
B. 16:8
C. 1:1
D. 1:1-1
Correct Answer: C
By alligation, cheaper:dearer = (31−23):(23−15) = 1:1.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
Two solutions contain 29% and 64% of a substance. In what ratio should they be mixed to obtain a 46% solution?
A. 18:17
B. 17:18
C. 1:2
D. 2:1
Correct Answer: A
By alligation, ratio = (64−46):(46−29) = 18:17.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
A mixture contains 50 L milk and 9 L water. What percentage of the mixture is water?
A. 18.00%
B. 20.25%
C. 84.75%
D. 15.25%
Correct Answer: D
Water percentage = 9/59×100 = 15.25%.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
7 litres at Rs. 11/L are mixed with 3 litres at Rs. 39/L. What is the average cost per litre?
A. Rs. 50.00
B. Rs. 25.00
C. Rs. 19.40
D. Rs. 21.40
Correct Answer: C
Weighted average = (7×11+3×39)/10 = Rs. 19.40/L.