CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
14 identical taps fill a tank in 51 hours. How long will 19 identical taps take?
A. 51 hours
B. 37.58 hours
C. 40.58 hours
D. 34.58 hours
Correct Answer: B
This is inverse proportion.
Taps × Time = constant
14 × 51 = 19 × t
t = (14 × 51) ÷ 19 = 37.58 hours
Answer = 37.58 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
13 identical taps fill a tank in 50 hours. How long will 17 identical taps take?
A. 41.24 hours
B. 38.24 hours
C. 35.24 hours
D. 50 hours
Correct Answer: B
This is inverse proportion.
Taps × Time = constant
13 × 50 = 17 × t
t = (13 × 50) ÷ 17 = 38.24 hours
Answer = 38.24 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
12 identical taps fill a tank in 49 hours. How long will 15 identical taps take?
A. 36.2 hours
B. 42.2 hours
C. 39.2 hours
D. 49 hours
Correct Answer: C
This is inverse proportion.
Taps × Time = constant
12 × 49 = 15 × t
t = (12 × 49) ÷ 15 = 39.2 hours
Answer = 39.2 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
11 identical taps fill a tank in 48 hours. How long will 13 identical taps take?
A. 48 hours
B. 40.62 hours
C. 43.62 hours
D. 37.62 hours
Correct Answer: B
This is inverse proportion.
Taps × Time = constant
11 × 48 = 13 × t
t = (11 × 48) ÷ 13 = 40.62 hours
Answer = 40.62 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 17 notebooks cost Rs. 782, what is the cost of 26 notebooks?
A. Rs. 1,196
B. Rs. 782
C. Rs. 1,150
D. Rs. 1,242
Correct Answer: A
Cost of 1 notebook = Rs. 782 ÷ 17 = Rs. 46
Cost of 26 notebooks = 26 × Rs. 46 = Rs. 1,196
Answer = Rs. 1,196
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 16 notebooks cost Rs. 720, what is the cost of 24 notebooks?
A. Rs. 1,080
B. Rs. 1,035
C. Rs. 720
D. Rs. 1,125
Correct Answer: A
Cost of 1 notebook = Rs. 720 ÷ 16 = Rs. 45
Cost of 24 notebooks = 24 × Rs. 45 = Rs. 1,080
Answer = Rs. 1,080
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 15 notebooks cost Rs. 660, what is the cost of 22 notebooks?
A. Rs. 660
B. Rs. 924
C. Rs. 968
D. Rs. 1,012
Correct Answer: C
Cost of 1 notebook = Rs. 660 ÷ 15 = Rs. 44
Cost of 22 notebooks = 22 × Rs. 44 = Rs. 968
Answer = Rs. 968
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 14 notebooks cost Rs. 602, what is the cost of 20 notebooks?
A. Rs. 903
B. Rs. 602
C. Rs. 860
D. Rs. 817
Correct Answer: C
Cost of 1 notebook = Rs. 602 ÷ 14 = Rs. 43
Cost of 20 notebooks = 20 × Rs. 43 = Rs. 860
Answer = Rs. 860
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
16 workers complete a job in 39 days. How many days will 22 equally efficient workers take?
A. 39 days
B. 26.36 days
C. 30.36 days
D. 28.36 days
Correct Answer: D
For fixed work, Workers × Days = constant.
16 × 39 = 22 × d
d = (16 × 39) ÷ 22
= 28.36 days
Answer = 28.36 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
15 workers complete a job in 38 days. How many days will 20 equally efficient workers take?
A. 26.5 days
B. 38 days
C. 30.5 days
D. 28.5 days
Correct Answer: D
For fixed work, Workers × Days = constant.
15 × 38 = 20 × d
d = (15 × 38) ÷ 20
= 28.5 days
Answer = 28.5 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
14 workers complete a job in 37 days. How many days will 18 equally efficient workers take?
A. 37 days
B. 30.78 days
C. 26.78 days
D. 28.78 days
Correct Answer: D
For fixed work, Workers × Days = constant.
14 × 37 = 18 × d
d = (14 × 37) ÷ 18
= 28.78 days
Answer = 28.78 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
13 workers complete a job in 36 days. How many days will 16 equally efficient workers take?
A. 31.25 days
B. 27.25 days
C. 29.25 days
D. 36 days
Correct Answer: C
For fixed work, Workers × Days = constant.
13 × 36 = 16 × d
d = (13 × 36) ÷ 16
= 29.25 days
Answer = 29.25 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 15 units cost Rs. 750, what will 21 units cost at the same rate?
A. Rs. 1,100
B. Rs. 1,050
C. Rs. 750
D. Rs. 1,000
Correct Answer: B
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 750 ÷ 15 = Rs. 50
Cost of 21 units = 21 × Rs. 50 = Rs. 1,050
Answer = Rs. 1,050
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 14 units cost Rs. 686, what will 19 units cost at the same rate?
A. Rs. 882
B. Rs. 980
C. Rs. 686
D. Rs. 931
Correct Answer: D
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 686 ÷ 14 = Rs. 49
Cost of 19 units = 19 × Rs. 49 = Rs. 931
Answer = Rs. 931
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 13 units cost Rs. 624, what will 17 units cost at the same rate?
A. Rs. 624
B. Rs. 816
C. Rs. 768
D. Rs. 864
Correct Answer: B
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 624 ÷ 13 = Rs. 48
Cost of 17 units = 17 × Rs. 48 = Rs. 816
Answer = Rs. 816
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 12 units cost Rs. 564, what will 15 units cost at the same rate?
A. Rs. 658
B. Rs. 705
C. Rs. 752
D. Rs. 564
Correct Answer: B
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 564 ÷ 12 = Rs. 47
Cost of 15 units = 15 × Rs. 47 = Rs. 705
Answer = Rs. 705
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 14:20 and their difference is 198. Find the smaller number.
A. 462
B. 660
C. 33
D. 198
Correct Answer: A
Let numbers = 14k and 20k.
Difference = (20-14)k = 198
6k = 198
k = 198 ÷ 6 = 33
Numbers = 462, 660
Answer = 462
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 13:18 and their difference is 160. Find the smaller number.
A. 576
B. 416
C. 32
D. 160
Correct Answer: B
Let numbers = 13k and 18k.
Difference = (18-13)k = 160
5k = 160
k = 160 ÷ 5 = 32
Numbers = 416, 576
Answer = 416
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 12:16 and their difference is 124. Find the larger number.
A. 31
B. 496
C. 124
D. 372
Correct Answer: B
Let numbers = 12k and 16k.
Difference = (16-12)k = 124
4k = 124
k = 124 ÷ 4 = 31
Numbers = 372, 496
Answer = 496
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 11:14 and their difference is 90. Find the larger number.
A. 30
B. 420
C. 90
D. 330
Correct Answer: B
Let numbers = 11k and 14k.
Difference = (14-11)k = 90
3k = 90
k = 90 ÷ 3 = 30
Numbers = 330, 420
Answer = 420