CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
6 identical taps fill a tank in 35 hours. How long will 11 identical taps take?
A. 16.09 hours
B. 22.09 hours
C. 19.09 hours
D. 35 hours
Correct Answer: C
This is inverse proportion.
Taps × Time = constant
6 × 35 = 11 × t
t = (6 × 35) ÷ 11 = 19.09 hours
Answer = 19.09 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
5 identical taps fill a tank in 34 hours. How long will 9 identical taps take?
A. 21.89 hours
B. 15.89 hours
C. 18.89 hours
D. 34 hours
Correct Answer: C
This is inverse proportion.
Taps × Time = constant
5 × 34 = 9 × t
t = (5 × 34) ÷ 9 = 18.89 hours
Answer = 18.89 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
4 identical taps fill a tank in 33 hours. How long will 7 identical taps take?
A. 18.86 hours
B. 21.86 hours
C. 33 hours
D. 15.86 hours
Correct Answer: A
This is inverse proportion.
Taps × Time = constant
4 × 33 = 7 × t
t = (4 × 33) ÷ 7 = 18.86 hours
Answer = 18.86 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
3 identical taps fill a tank in 32 hours. How long will 5 identical taps take?
A. 16.2 hours
B. 22.2 hours
C. 19.2 hours
D. 32 hours
Correct Answer: C
This is inverse proportion.
Taps × Time = constant
3 × 32 = 5 × t
t = (3 × 32) ÷ 5 = 19.2 hours
Answer = 19.2 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 9 notebooks cost Rs. 270, what is the cost of 18 notebooks?
A. Rs. 570
B. Rs. 510
C. Rs. 270
D. Rs. 540
Correct Answer: D
Cost of 1 notebook = Rs. 270 ÷ 9 = Rs. 30
Cost of 18 notebooks = 18 × Rs. 30 = Rs. 540
Answer = Rs. 540
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 8 notebooks cost Rs. 232, what is the cost of 16 notebooks?
A. Rs. 464
B. Rs. 232
C. Rs. 493
D. Rs. 435
Correct Answer: A
Cost of 1 notebook = Rs. 232 ÷ 8 = Rs. 29
Cost of 16 notebooks = 16 × Rs. 29 = Rs. 464
Answer = Rs. 464
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 7 notebooks cost Rs. 196, what is the cost of 14 notebooks?
A. Rs. 420
B. Rs. 392
C. Rs. 196
D. Rs. 364
Correct Answer: B
Cost of 1 notebook = Rs. 196 ÷ 7 = Rs. 28
Cost of 14 notebooks = 14 × Rs. 28 = Rs. 392
Answer = Rs. 392
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 6 notebooks cost Rs. 162, what is the cost of 12 notebooks?
A. Rs. 324
B. Rs. 351
C. Rs. 162
D. Rs. 297
Correct Answer: A
Cost of 1 notebook = Rs. 162 ÷ 6 = Rs. 27
Cost of 12 notebooks = 12 × Rs. 27 = Rs. 324
Answer = Rs. 324
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
8 workers complete a job in 23 days. How many days will 14 equally efficient workers take?
A. 23 days
B. 11.14 days
C. 13.14 days
D. 15.14 days
Correct Answer: C
For fixed work, Workers × Days = constant.
8 × 23 = 14 × d
d = (8 × 23) ÷ 14
= 13.14 days
Answer = 13.14 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
7 workers complete a job in 22 days. How many days will 12 equally efficient workers take?
A. 22 days
B. 10.83 days
C. 14.83 days
D. 12.83 days
Correct Answer: D
For fixed work, Workers × Days = constant.
7 × 22 = 12 × d
d = (7 × 22) ÷ 12
= 12.83 days
Answer = 12.83 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
6 workers complete a job in 21 days. How many days will 10 equally efficient workers take?
A. 10.6 days
B. 14.6 days
C. 21 days
D. 12.6 days
Correct Answer: D
For fixed work, Workers × Days = constant.
6 × 21 = 10 × d
d = (6 × 21) ÷ 10
= 12.6 days
Answer = 12.6 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
5 workers complete a job in 20 days. How many days will 8 equally efficient workers take?
A. 10.5 days
B. 12.5 days
C. 14.5 days
D. 20 days
Correct Answer: B
For fixed work, Workers × Days = constant.
5 × 20 = 8 × d
d = (5 × 20) ÷ 8
= 12.5 days
Answer = 12.5 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 7 units cost Rs. 182, what will 13 units cost at the same rate?
A. Rs. 338
B. Rs. 312
C. Rs. 182
D. Rs. 364
Correct Answer: A
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 182 ÷ 7 = Rs. 26
Cost of 13 units = 13 × Rs. 26 = Rs. 338
Answer = Rs. 338
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 6 units cost Rs. 150, what will 11 units cost at the same rate?
A. Rs. 300
B. Rs. 150
C. Rs. 275
D. Rs. 250
Correct Answer: C
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 150 ÷ 6 = Rs. 25
Cost of 11 units = 11 × Rs. 25 = Rs. 275
Answer = Rs. 275
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 5 units cost Rs. 120, what will 9 units cost at the same rate?
A. Rs. 192
B. Rs. 240
C. Rs. 120
D. Rs. 216
Correct Answer: D
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 120 ÷ 5 = Rs. 24
Cost of 9 units = 9 × Rs. 24 = Rs. 216
Answer = Rs. 216
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 4 units cost Rs. 92, what will 7 units cost at the same rate?
A. Rs. 92
B. Rs. 184
C. Rs. 161
D. Rs. 138
Correct Answer: C
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 92 ÷ 4 = Rs. 23
Cost of 7 units = 7 × Rs. 23 = Rs. 161
Answer = Rs. 161
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 6:12 and their difference is 102. Find the smaller number.
A. 102
B. None of these 1
C. 204
D. 17
Correct Answer: A
Let numbers = 6k and 12k.
Difference = (12-6)k = 102
6k = 102
k = 102 ÷ 6 = 17
Numbers = 102, 204
Answer = 102
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 5:10 and their difference is 80. Find the smaller number.
A. 160
B. 80
C. 16
D. None of these 1
Correct Answer: B
Let numbers = 5k and 10k.
Difference = (10-5)k = 80
5k = 80
k = 80 ÷ 5 = 16
Numbers = 80, 160
Answer = 80
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 4:8 and their difference is 60. Find the larger number.
A. 15
B. None of these 1
C. 120
D. 60
Correct Answer: C
Let numbers = 4k and 8k.
Difference = (8-4)k = 60
4k = 60
k = 60 ÷ 4 = 15
Numbers = 60, 120
Answer = 120
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 3:6 and their difference is 42. Find the larger number.
A. 14
B. 42
C. None of these 1
D. 84
Correct Answer: D
Let numbers = 3k and 6k.
Difference = (6-3)k = 42
3k = 42
k = 42 ÷ 3 = 14
Numbers = 42, 84
Answer = 84