CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
8 identical taps fill a tank in 39 hours. How long will 13 identical taps take?
A. 21 hours
B. 24 hours
C. 27 hours
D. 39 hours
Correct Answer: B
This is inverse proportion.
Taps × Time = constant
8 × 39 = 13 × t
t = (8 × 39) ÷ 13 = 24 hours
Answer = 24 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
7 identical taps fill a tank in 38 hours. How long will 11 identical taps take?
A. 38 hours
B. 21.18 hours
C. 24.18 hours
D. 27.18 hours
Correct Answer: C
This is inverse proportion.
Taps × Time = constant
7 × 38 = 11 × t
t = (7 × 38) ÷ 11 = 24.18 hours
Answer = 24.18 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
6 identical taps fill a tank in 37 hours. How long will 9 identical taps take?
A. 27.67 hours
B. 21.67 hours
C. 37 hours
D. 24.67 hours
Correct Answer: D
This is inverse proportion.
Taps × Time = constant
6 × 37 = 9 × t
t = (6 × 37) ÷ 9 = 24.67 hours
Answer = 24.67 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
5 identical taps fill a tank in 36 hours. How long will 7 identical taps take?
A. 25.71 hours
B. 36 hours
C. 22.71 hours
D. 28.71 hours
Correct Answer: A
This is inverse proportion.
Taps × Time = constant
5 × 36 = 7 × t
t = (5 × 36) ÷ 7 = 25.71 hours
Answer = 25.71 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 11 notebooks cost Rs. 374, what is the cost of 20 notebooks?
A. Rs. 714
B. Rs. 646
C. Rs. 680
D. Rs. 374
Correct Answer: C
Cost of 1 notebook = Rs. 374 ÷ 11 = Rs. 34
Cost of 20 notebooks = 20 × Rs. 34 = Rs. 680
Answer = Rs. 680
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 10 notebooks cost Rs. 330, what is the cost of 18 notebooks?
A. Rs. 561
B. Rs. 627
C. Rs. 594
D. Rs. 330
Correct Answer: C
Cost of 1 notebook = Rs. 330 ÷ 10 = Rs. 33
Cost of 18 notebooks = 18 × Rs. 33 = Rs. 594
Answer = Rs. 594
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 9 notebooks cost Rs. 288, what is the cost of 16 notebooks?
A. Rs. 544
B. Rs. 288
C. Rs. 480
D. Rs. 512
Correct Answer: D
Cost of 1 notebook = Rs. 288 ÷ 9 = Rs. 32
Cost of 16 notebooks = 16 × Rs. 32 = Rs. 512
Answer = Rs. 512
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 8 notebooks cost Rs. 248, what is the cost of 14 notebooks?
A. Rs. 434
B. Rs. 248
C. Rs. 465
D. Rs. 403
Correct Answer: A
Cost of 1 notebook = Rs. 248 ÷ 8 = Rs. 31
Cost of 14 notebooks = 14 × Rs. 31 = Rs. 434
Answer = Rs. 434
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
10 workers complete a job in 27 days. How many days will 16 equally efficient workers take?
A. 16.88 days
B. 18.88 days
C. 27 days
D. 14.88 days
Correct Answer: A
For fixed work, Workers × Days = constant.
10 × 27 = 16 × d
d = (10 × 27) ÷ 16
= 16.88 days
Answer = 16.88 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
9 workers complete a job in 26 days. How many days will 14 equally efficient workers take?
A. 26 days
B. 14.71 days
C. 18.71 days
D. 16.71 days
Correct Answer: D
For fixed work, Workers × Days = constant.
9 × 26 = 14 × d
d = (9 × 26) ÷ 14
= 16.71 days
Answer = 16.71 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
8 workers complete a job in 25 days. How many days will 12 equally efficient workers take?
A. 25 days
B. 14.67 days
C. 18.67 days
D. 16.67 days
Correct Answer: D
For fixed work, Workers × Days = constant.
8 × 25 = 12 × d
d = (8 × 25) ÷ 12
= 16.67 days
Answer = 16.67 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
7 workers complete a job in 24 days. How many days will 10 equally efficient workers take?
A. 18.8 days
B. 14.8 days
C. 16.8 days
D. 24 days
Correct Answer: C
For fixed work, Workers × Days = constant.
7 × 24 = 10 × d
d = (7 × 24) ÷ 10
= 16.8 days
Answer = 16.8 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 9 units cost Rs. 288, what will 15 units cost at the same rate?
A. Rs. 480
B. Rs. 512
C. Rs. 288
D. Rs. 448
Correct Answer: A
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 288 ÷ 9 = Rs. 32
Cost of 15 units = 15 × Rs. 32 = Rs. 480
Answer = Rs. 480
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 8 units cost Rs. 248, what will 13 units cost at the same rate?
A. Rs. 248
B. Rs. 372
C. Rs. 434
D. Rs. 403
Correct Answer: D
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 248 ÷ 8 = Rs. 31
Cost of 13 units = 13 × Rs. 31 = Rs. 403
Answer = Rs. 403
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 7 units cost Rs. 210, what will 11 units cost at the same rate?
A. Rs. 330
B. Rs. 210
C. Rs. 360
D. Rs. 300
Correct Answer: A
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 210 ÷ 7 = Rs. 30
Cost of 11 units = 11 × Rs. 30 = Rs. 330
Answer = Rs. 330
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 6 units cost Rs. 174, what will 9 units cost at the same rate?
A. Rs. 174
B. Rs. 290
C. Rs. 232
D. Rs. 261
Correct Answer: D
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 174 ÷ 6 = Rs. 29
Cost of 9 units = 9 × Rs. 29 = Rs. 261
Answer = Rs. 261
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 8:14 and their difference is 126. Find the smaller number.
A. 168
B. 126
C. 294
D. 21
Correct Answer: A
Let numbers = 8k and 14k.
Difference = (14-8)k = 126
6k = 126
k = 126 ÷ 6 = 21
Numbers = 168, 294
Answer = 168
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 7:12 and their difference is 100. Find the smaller number.
A. 140
B. 20
C. 240
D. 100
Correct Answer: A
Let numbers = 7k and 12k.
Difference = (12-7)k = 100
5k = 100
k = 100 ÷ 5 = 20
Numbers = 140, 240
Answer = 140
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 6:10 and their difference is 76. Find the larger number.
A. 190
B. 19
C. 114
D. 76
Correct Answer: A
Let numbers = 6k and 10k.
Difference = (10-6)k = 76
4k = 76
k = 76 ÷ 4 = 19
Numbers = 114, 190
Answer = 190
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 5:8 and their difference is 54. Find the larger number.
A. 144
B. 90
C. 54
D. 18
Correct Answer: A
Let numbers = 5k and 8k.
Difference = (8-5)k = 54
3k = 54
k = 54 ÷ 3 = 18
Numbers = 90, 144
Answer = 144