CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
5 identical taps fill a tank in 33 hours. How long will 10 identical taps take?
A. 13.5 hours
B. 16.5 hours
C. 33 hours
D. 19.5 hours
Correct Answer: B
This is inverse proportion.
Taps × Time = constant
5 × 33 = 10 × t
t = (5 × 33) ÷ 10 = 16.5 hours
Answer = 16.5 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
4 identical taps fill a tank in 32 hours. How long will 8 identical taps take?
A. 19 hours
B. 32 hours
C. 16 hours
D. 13 hours
Correct Answer: C
This is inverse proportion.
Taps × Time = constant
4 × 32 = 8 × t
t = (4 × 32) ÷ 8 = 16 hours
Answer = 16 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
3 identical taps fill a tank in 31 hours. How long will 6 identical taps take?
A. 31 hours
B. 18.5 hours
C. 12.5 hours
D. 15.5 hours
Correct Answer: D
This is inverse proportion.
Taps × Time = constant
3 × 31 = 6 × t
t = (3 × 31) ÷ 6 = 15.5 hours
Answer = 15.5 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
2 identical taps fill a tank in 30 hours. How long will 4 identical taps take?
A. 30 hours
B. 15 hours
C. 12 hours
D. 18 hours
Correct Answer: B
This is inverse proportion.
Taps × Time = constant
2 × 30 = 4 × t
t = (2 × 30) ÷ 4 = 15 hours
Answer = 15 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 8 notebooks cost Rs. 224, what is the cost of 17 notebooks?
A. Rs. 224
B. Rs. 476
C. Rs. 448
D. Rs. 504
Correct Answer: B
Cost of 1 notebook = Rs. 224 ÷ 8 = Rs. 28
Cost of 17 notebooks = 17 × Rs. 28 = Rs. 476
Answer = Rs. 476
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 7 notebooks cost Rs. 189, what is the cost of 15 notebooks?
A. Rs. 405
B. Rs. 189
C. Rs. 432
D. Rs. 378
Correct Answer: A
Cost of 1 notebook = Rs. 189 ÷ 7 = Rs. 27
Cost of 15 notebooks = 15 × Rs. 27 = Rs. 405
Answer = Rs. 405
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 6 notebooks cost Rs. 156, what is the cost of 13 notebooks?
A. Rs. 338
B. Rs. 156
C. Rs. 364
D. Rs. 312
Correct Answer: A
Cost of 1 notebook = Rs. 156 ÷ 6 = Rs. 26
Cost of 13 notebooks = 13 × Rs. 26 = Rs. 338
Answer = Rs. 338
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 5 notebooks cost Rs. 125, what is the cost of 11 notebooks?
A. Rs. 125
B. Rs. 275
C. Rs. 250
D. Rs. 300
Correct Answer: B
Cost of 1 notebook = Rs. 125 ÷ 5 = Rs. 25
Cost of 11 notebooks = 11 × Rs. 25 = Rs. 275
Answer = Rs. 275
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
7 workers complete a job in 21 days. How many days will 13 equally efficient workers take?
A. 13.31 days
B. 9.31 days
C. 21 days
D. 11.31 days
Correct Answer: D
For fixed work, Workers × Days = constant.
7 × 21 = 13 × d
d = (7 × 21) ÷ 13
= 11.31 days
Answer = 11.31 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
6 workers complete a job in 20 days. How many days will 11 equally efficient workers take?
A. 8.91 days
B. 10.91 days
C. 20 days
D. 12.91 days
Correct Answer: B
For fixed work, Workers × Days = constant.
6 × 20 = 11 × d
d = (6 × 20) ÷ 11
= 10.91 days
Answer = 10.91 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
5 workers complete a job in 19 days. How many days will 9 equally efficient workers take?
A. 19 days
B. 8.56 days
C. 12.56 days
D. 10.56 days
Correct Answer: D
For fixed work, Workers × Days = constant.
5 × 19 = 9 × d
d = (5 × 19) ÷ 9
= 10.56 days
Answer = 10.56 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
4 workers complete a job in 18 days. How many days will 7 equally efficient workers take?
A. 8.29 days
B. 18 days
C. 12.29 days
D. 10.29 days
Correct Answer: D
For fixed work, Workers × Days = constant.
4 × 18 = 7 × d
d = (4 × 18) ÷ 7
= 10.29 days
Answer = 10.29 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 6 units cost Rs. 138, what will 12 units cost at the same rate?
A. Rs. 138
B. Rs. 253
C. Rs. 276
D. Rs. 299
Correct Answer: C
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 138 ÷ 6 = Rs. 23
Cost of 12 units = 12 × Rs. 23 = Rs. 276
Answer = Rs. 276
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 5 units cost Rs. 110, what will 10 units cost at the same rate?
A. Rs. 220
B. Rs. 110
C. Rs. 198
D. Rs. 242
Correct Answer: A
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 110 ÷ 5 = Rs. 22
Cost of 10 units = 10 × Rs. 22 = Rs. 220
Answer = Rs. 220
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 4 units cost Rs. 84, what will 8 units cost at the same rate?
A. Rs. 147
B. Rs. 189
C. Rs. 168
D. Rs. 84
Correct Answer: C
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 84 ÷ 4 = Rs. 21
Cost of 8 units = 8 × Rs. 21 = Rs. 168
Answer = Rs. 168
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 3 units cost Rs. 60, what will 6 units cost at the same rate?
A. Rs. 60
B. Rs. 140
C. Rs. 120
D. Rs. 100
Correct Answer: C
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 60 ÷ 3 = Rs. 20
Cost of 6 units = 6 × Rs. 20 = Rs. 120
Answer = Rs. 120
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 5:11 and their difference is 90. Find the smaller number.
A. 90
B. 75
C. 15
D. 165
Correct Answer: B
Let numbers = 5k and 11k.
Difference = (11-5)k = 90
6k = 90
k = 90 ÷ 6 = 15
Numbers = 75, 165
Answer = 75
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 4:9 and their difference is 70. Find the smaller number.
A. 126
B. 56
C. 70
D. 14
Correct Answer: B
Let numbers = 4k and 9k.
Difference = (9-4)k = 70
5k = 70
k = 70 ÷ 5 = 14
Numbers = 56, 126
Answer = 56
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 3:7 and their difference is 52. Find the larger number.
A. 52
B. 91
C. 13
D. 39
Correct Answer: B
Let numbers = 3k and 7k.
Difference = (7-3)k = 52
4k = 52
k = 52 ÷ 4 = 13
Numbers = 39, 91
Answer = 91
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 2:5 and their difference is 36. Find the larger number.
A. 12
B. 60
C. 36
D. 24
Correct Answer: B
Let numbers = 2k and 5k.
Difference = (5-2)k = 36
3k = 36
k = 36 ÷ 3 = 12
Numbers = 24, 60
Answer = 60