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.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
In what ratio should a solution costing Rs. 10 per litre be mixed with one costing Rs. 38 per litre to obtain a mixture costing Rs. 24 per litre?
A. 28:14
B. 1:1-2
C. 1:1-1
D. 1:1
Correct Answer: D
By alligation, cheaper:dearer = (38−24):(24−10) = 1:1.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
Two solutions contain 24% and 79% of a substance. In what ratio should they be mixed to obtain a 51% solution?
A. 28:27
B. 27:28
C. 1:2
D. 2:1
Correct Answer: A
By alligation, ratio = (79−51):(51−24) = 28:27.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
A mixture contains 25 L milk and 10 L water. What percentage of the mixture is water?
A. 28.57%
B. 40.00%
C. 71.43%
D. 33.57%
Correct Answer: A
Water percentage = 10/35×100 = 28.57%.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
2 litres at Rs. 16/L are mixed with 5 litres at Rs. 34/L. What is the average cost per litre?
A. Rs. 25.00
B. Rs. 30.86
C. Rs. 50.00
D. Rs. 28.86
Correct Answer: D
Weighted average = (2×16+5×34)/7 = Rs. 28.86/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. 33 per litre to obtain a mixture costing Rs. 24 per litre?
A. 1:1-1
B. 1:1-2
C. 1:1
D. 18:9
Correct Answer: C
By alligation, cheaper:dearer = (33−24):(24−15) = 1:1.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
Two solutions contain 34% and 74% of a substance. In what ratio should they be mixed to obtain a 54% solution?
A. 1:1-1
B. 2:1
C. 1:1
D. 1:2
Correct Answer: C
By alligation, ratio = (74−54):(54−34) = 1:1.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
A vessel contains 46 L of a liquid. If 1/2 of it is removed, how many litres remain?
A. 69 L
B. 46 L
C. 23 L-1
D. 23 L
Correct Answer: D
Remaining = 46×(1−1/2) = 23 L.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
A mixture contains 40 L milk and 5 L water. What percentage of the mixture is water?
A. 12.50%
B. 11.11%
C. 16.11%
D. 88.89%
Correct Answer: B
Water percentage = 5/45×100 = 11.11%.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
5 litres at Rs. 11/L are mixed with 7 litres at Rs. 41/L. What is the average cost per litre?
A. Rs. 30.50
B. Rs. 28.50
C. Rs. 52.00
D. Rs. 26.00
Correct Answer: B
Weighted average = (5×11+7×41)/12 = Rs. 28.50/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. 40 per litre to obtain a mixture costing Rs. 25 per litre?
A. 1:1-1
B. 1:1-2
C. 30:15
D. 1:1
Correct Answer: D
By alligation, cheaper:dearer = (40−25):(25−10) = 1:1.