CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
13 identical taps fill a tank in 49 hours. How long will 18 identical taps take?
A. 38.39 hours
B. 35.39 hours
C. 49 hours
D. 32.39 hours
Correct Answer: B
This is inverse proportion.
Taps × Time = constant
13 × 49 = 18 × t
t = (13 × 49) ÷ 18 = 35.39 hours
Answer = 35.39 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
12 identical taps fill a tank in 48 hours. How long will 16 identical taps take?
A. 39 hours
B. 33 hours
C. 48 hours
D. 36 hours
Correct Answer: D
This is inverse proportion.
Taps × Time = constant
12 × 48 = 16 × t
t = (12 × 48) ÷ 16 = 36 hours
Answer = 36 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
11 identical taps fill a tank in 47 hours. How long will 14 identical taps take?
A. 36.93 hours
B. 33.93 hours
C. 47 hours
D. 39.93 hours
Correct Answer: A
This is inverse proportion.
Taps × Time = constant
11 × 47 = 14 × t
t = (11 × 47) ÷ 14 = 36.93 hours
Answer = 36.93 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
10 identical taps fill a tank in 46 hours. How long will 12 identical taps take?
A. 41.33 hours
B. 38.33 hours
C. 46 hours
D. 35.33 hours
Correct Answer: B
This is inverse proportion.
Taps × Time = constant
10 × 46 = 12 × t
t = (10 × 46) ÷ 12 = 38.33 hours
Answer = 38.33 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 16 notebooks cost Rs. 704, what is the cost of 25 notebooks?
A. Rs. 704
B. Rs. 1,056
C. Rs. 1,100
D. Rs. 1,144
Correct Answer: C
Cost of 1 notebook = Rs. 704 ÷ 16 = Rs. 44
Cost of 25 notebooks = 25 × Rs. 44 = Rs. 1,100
Answer = Rs. 1,100
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 15 notebooks cost Rs. 645, what is the cost of 23 notebooks?
A. Rs. 946
B. Rs. 1,032
C. Rs. 989
D. Rs. 645
Correct Answer: C
Cost of 1 notebook = Rs. 645 ÷ 15 = Rs. 43
Cost of 23 notebooks = 23 × Rs. 43 = Rs. 989
Answer = Rs. 989
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 14 notebooks cost Rs. 588, what is the cost of 21 notebooks?
A. Rs. 588
B. Rs. 924
C. Rs. 882
D. Rs. 840
Correct Answer: C
Cost of 1 notebook = Rs. 588 ÷ 14 = Rs. 42
Cost of 21 notebooks = 21 × Rs. 42 = Rs. 882
Answer = Rs. 882
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 13 notebooks cost Rs. 533, what is the cost of 19 notebooks?
A. Rs. 533
B. Rs. 779
C. Rs. 738
D. Rs. 820
Correct Answer: B
Cost of 1 notebook = Rs. 533 ÷ 13 = Rs. 41
Cost of 19 notebooks = 19 × Rs. 41 = Rs. 779
Answer = Rs. 779
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
15 workers complete a job in 37 days. How many days will 21 equally efficient workers take?
A. 24.43 days
B. 26.43 days
C. 28.43 days
D. 37 days
Correct Answer: B
For fixed work, Workers × Days = constant.
15 × 37 = 21 × d
d = (15 × 37) ÷ 21
= 26.43 days
Answer = 26.43 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
14 workers complete a job in 36 days. How many days will 19 equally efficient workers take?
A. 28.53 days
B. 36 days
C. 24.53 days
D. 26.53 days
Correct Answer: D
For fixed work, Workers × Days = constant.
14 × 36 = 19 × d
d = (14 × 36) ÷ 19
= 26.53 days
Answer = 26.53 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
13 workers complete a job in 35 days. How many days will 17 equally efficient workers take?
A. 24.76 days
B. 26.76 days
C. 28.76 days
D. 35 days
Correct Answer: B
For fixed work, Workers × Days = constant.
13 × 35 = 17 × d
d = (13 × 35) ÷ 17
= 26.76 days
Answer = 26.76 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
12 workers complete a job in 34 days. How many days will 15 equally efficient workers take?
A. 29.2 days
B. 27.2 days
C. 34 days
D. 25.2 days
Correct Answer: B
For fixed work, Workers × Days = constant.
12 × 34 = 15 × d
d = (12 × 34) ÷ 15
= 27.2 days
Answer = 27.2 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 14 units cost Rs. 658, what will 20 units cost at the same rate?
A. Rs. 940
B. Rs. 893
C. Rs. 987
D. Rs. 658
Correct Answer: A
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 658 ÷ 14 = Rs. 47
Cost of 20 units = 20 × Rs. 47 = Rs. 940
Answer = Rs. 940
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 13 units cost Rs. 598, what will 18 units cost at the same rate?
A. Rs. 874
B. Rs. 828
C. Rs. 782
D. Rs. 598
Correct Answer: B
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 598 ÷ 13 = Rs. 46
Cost of 18 units = 18 × Rs. 46 = Rs. 828
Answer = Rs. 828
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 12 units cost Rs. 540, what will 16 units cost at the same rate?
A. Rs. 540
B. Rs. 675
C. Rs. 765
D. Rs. 720
Correct Answer: D
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 540 ÷ 12 = Rs. 45
Cost of 16 units = 16 × Rs. 45 = Rs. 720
Answer = Rs. 720
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 11 units cost Rs. 484, what will 14 units cost at the same rate?
A. Rs. 484
B. Rs. 660
C. Rs. 572
D. Rs. 616
Correct Answer: D
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 484 ÷ 11 = Rs. 44
Cost of 14 units = 14 × Rs. 44 = Rs. 616
Answer = Rs. 616
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 13:19 and their difference is 186. Find the smaller number.
A. 31
B. 403
C. 186
D. 589
Correct Answer: B
Let numbers = 13k and 19k.
Difference = (19-13)k = 186
6k = 186
k = 186 ÷ 6 = 31
Numbers = 403, 589
Answer = 403
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 12:17 and their difference is 150. Find the smaller number.
A. 360
B. 150
C. 30
D. 510
Correct Answer: A
Let numbers = 12k and 17k.
Difference = (17-12)k = 150
5k = 150
k = 150 ÷ 5 = 30
Numbers = 360, 510
Answer = 360
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 11:15 and their difference is 116. Find the larger number.
A. 116
B. 319
C. 435
D. 29
Correct Answer: C
Let numbers = 11k and 15k.
Difference = (15-11)k = 116
4k = 116
k = 116 ÷ 4 = 29
Numbers = 319, 435
Answer = 435
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 10:13 and their difference is 84. Find the larger number.
A. 28
B. 280
C. 364
D. 84
Correct Answer: C
Let numbers = 10k and 13k.
Difference = (13-10)k = 84
3k = 84
k = 84 ÷ 3 = 28
Numbers = 280, 364
Answer = 364