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.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
Two solutions contain 29% and 69% of a substance. In what ratio should they be mixed to obtain a 49% solution?
A. 1:1
B. 1:1-1
C. 1:2
D. 2:1
Correct Answer: A
By alligation, ratio = (69−49):(49−29) = 1:1.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
A vessel contains 36 L of a liquid. If 3/4 of it is removed, how many litres remain?
A. 36 L
B. 9 L
C. 63 L
D. 27 L
Correct Answer: B
Remaining = 36×(1−3/4) = 9 L.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
A mixture contains 55 L milk and 6 L water. What percentage of the mixture is water?
A. 90.16%
B. 9.84%
C. 14.84%
D. 10.91%
Correct Answer: B
Water percentage = 6/61×100 = 9.84%.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
8 litres at Rs. 16/L are mixed with 9 litres at Rs. 36/L. What is the average cost per litre?
A. Rs. 28.59
B. Rs. 52.00
C. Rs. 26.59
D. Rs. 26.00
Correct Answer: C
Weighted average = (8×16+9×36)/17 = Rs. 26.59/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. 35 per litre to obtain a mixture costing Rs. 25 per litre?
A. 20:10
B. 1:1
C. 1:1-1
D. 1:1-2
Correct Answer: B
By alligation, cheaper:dearer = (35−25):(25−15) = 1:1.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
Two solutions contain 24% and 64% of a substance. In what ratio should they be mixed to obtain a 44% solution?
A. 1:1
B. 2:1
C. 1:2
D. 1:1-1
Correct Answer: A
By alligation, ratio = (64−44):(44−24) = 1:1.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
A vessel contains 26 L of a liquid. If 1/4 of it is removed, how many litres remain?
A. 26 L
B. 65/2 L
C. 39/2 L
D. 13/2 L
Correct Answer: C
Remaining = 26×(1−1/4) = 39/2 L.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
A mixture contains 30 L milk and 7 L water. What percentage of the mixture is water?
A. 23.92%
B. 23.33%
C. 18.92%
D. 81.08%
Correct Answer: C
Water percentage = 7/37×100 = 18.92%.
CSS - PMS - CCE - PCS - Mathematics
Mixture & Alligation
3 litres at Rs. 11/L are mixed with 4 litres at Rs. 31/L. What is the average cost per litre?
A. Rs. 22.43
B. Rs. 21.00
C. Rs. 42.00
D. Rs. 24.43
Correct Answer: A
Weighted average = (3×11+4×31)/7 = Rs. 22.43/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. 30 per litre to obtain a mixture costing Rs. 20 per litre?
A. 1:1-2
B. 1:1
C. 1:1-1
D. 20:10
Correct Answer: B
By alligation, cheaper:dearer = (30−20):(20−10) = 1:1.