CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
12 identical taps fill a tank in 47 hours. How long will 17 identical taps take?
A. 47 hours
B. 33.18 hours
C. 36.18 hours
D. 30.18 hours
Correct Answer: B
This is inverse proportion.
Taps × Time = constant
12 × 47 = 17 × t
t = (12 × 47) ÷ 17 = 33.18 hours
Answer = 33.18 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
11 identical taps fill a tank in 46 hours. How long will 15 identical taps take?
A. 30.73 hours
B. 36.73 hours
C. 46 hours
D. 33.73 hours
Correct Answer: D
This is inverse proportion.
Taps × Time = constant
11 × 46 = 15 × t
t = (11 × 46) ÷ 15 = 33.73 hours
Answer = 33.73 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
10 identical taps fill a tank in 45 hours. How long will 13 identical taps take?
A. 34.62 hours
B. 45 hours
C. 31.62 hours
D. 37.62 hours
Correct Answer: A
This is inverse proportion.
Taps × Time = constant
10 × 45 = 13 × t
t = (10 × 45) ÷ 13 = 34.62 hours
Answer = 34.62 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
9 identical taps fill a tank in 44 hours. How long will 11 identical taps take?
A. 44 hours
B. 36 hours
C. 33 hours
D. 39 hours
Correct Answer: B
This is inverse proportion.
Taps × Time = constant
9 × 44 = 11 × t
t = (9 × 44) ÷ 11 = 36 hours
Answer = 36 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 15 notebooks cost Rs. 630, what is the cost of 24 notebooks?
A. Rs. 1,008
B. Rs. 966
C. Rs. 630
D. Rs. 1,050
Correct Answer: A
Cost of 1 notebook = Rs. 630 ÷ 15 = Rs. 42
Cost of 24 notebooks = 24 × Rs. 42 = Rs. 1,008
Answer = Rs. 1,008
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 14 notebooks cost Rs. 574, what is the cost of 22 notebooks?
A. Rs. 861
B. Rs. 574
C. Rs. 943
D. Rs. 902
Correct Answer: D
Cost of 1 notebook = Rs. 574 ÷ 14 = Rs. 41
Cost of 22 notebooks = 22 × Rs. 41 = Rs. 902
Answer = Rs. 902
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 13 notebooks cost Rs. 520, what is the cost of 20 notebooks?
A. Rs. 520
B. Rs. 800
C. Rs. 760
D. Rs. 840
Correct Answer: B
Cost of 1 notebook = Rs. 520 ÷ 13 = Rs. 40
Cost of 20 notebooks = 20 × Rs. 40 = Rs. 800
Answer = Rs. 800
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 12 notebooks cost Rs. 468, what is the cost of 18 notebooks?
A. Rs. 663
B. Rs. 741
C. Rs. 702
D. Rs. 468
Correct Answer: C
Cost of 1 notebook = Rs. 468 ÷ 12 = Rs. 39
Cost of 18 notebooks = 18 × Rs. 39 = Rs. 702
Answer = Rs. 702
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
14 workers complete a job in 35 days. How many days will 20 equally efficient workers take?
A. 35 days
B. 26.5 days
C. 24.5 days
D. 22.5 days
Correct Answer: C
For fixed work, Workers × Days = constant.
14 × 35 = 20 × d
d = (14 × 35) ÷ 20
= 24.5 days
Answer = 24.5 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
13 workers complete a job in 34 days. How many days will 18 equally efficient workers take?
A. 26.56 days
B. 22.56 days
C. 24.56 days
D. 34 days
Correct Answer: C
For fixed work, Workers × Days = constant.
13 × 34 = 18 × d
d = (13 × 34) ÷ 18
= 24.56 days
Answer = 24.56 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
12 workers complete a job in 33 days. How many days will 16 equally efficient workers take?
A. 24.75 days
B. 33 days
C. 26.75 days
D. 22.75 days
Correct Answer: A
For fixed work, Workers × Days = constant.
12 × 33 = 16 × d
d = (12 × 33) ÷ 16
= 24.75 days
Answer = 24.75 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
11 workers complete a job in 32 days. How many days will 14 equally efficient workers take?
A. 27.14 days
B. 32 days
C. 23.14 days
D. 25.14 days
Correct Answer: D
For fixed work, Workers × Days = constant.
11 × 32 = 14 × d
d = (11 × 32) ÷ 14
= 25.14 days
Answer = 25.14 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 13 units cost Rs. 572, what will 19 units cost at the same rate?
A. Rs. 880
B. Rs. 792
C. Rs. 836
D. Rs. 572
Correct Answer: C
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 572 ÷ 13 = Rs. 44
Cost of 19 units = 19 × Rs. 44 = Rs. 836
Answer = Rs. 836
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 12 units cost Rs. 516, what will 17 units cost at the same rate?
A. Rs. 688
B. Rs. 516
C. Rs. 731
D. Rs. 774
Correct Answer: C
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 516 ÷ 12 = Rs. 43
Cost of 17 units = 17 × Rs. 43 = Rs. 731
Answer = Rs. 731
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 11 units cost Rs. 462, what will 15 units cost at the same rate?
A. Rs. 462
B. Rs. 630
C. Rs. 672
D. Rs. 588
Correct Answer: B
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 462 ÷ 11 = Rs. 42
Cost of 15 units = 15 × Rs. 42 = Rs. 630
Answer = Rs. 630
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 10 units cost Rs. 410, what will 13 units cost at the same rate?
A. Rs. 492
B. Rs. 410
C. Rs. 574
D. Rs. 533
Correct Answer: D
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 410 ÷ 10 = Rs. 41
Cost of 13 units = 13 × Rs. 41 = Rs. 533
Answer = Rs. 533
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 12:18 and their difference is 174. Find the smaller number.
A. 348
B. 29
C. 174
D. 522
Correct Answer: A
Let numbers = 12k and 18k.
Difference = (18-12)k = 174
6k = 174
k = 174 ÷ 6 = 29
Numbers = 348, 522
Answer = 348
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 11:16 and their difference is 140. Find the smaller number.
A. 308
B. 140
C. 28
D. 448
Correct Answer: A
Let numbers = 11k and 16k.
Difference = (16-11)k = 140
5k = 140
k = 140 ÷ 5 = 28
Numbers = 308, 448
Answer = 308
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 10:14 and their difference is 108. Find the larger number.
A. 27
B. 108
C. 270
D. 378
Correct Answer: D
Let numbers = 10k and 14k.
Difference = (14-10)k = 108
4k = 108
k = 108 ÷ 4 = 27
Numbers = 270, 378
Answer = 378
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 9:12 and their difference is 78. Find the larger number.
A. 312
B. 26
C. 78
D. 234
Correct Answer: A
Let numbers = 9k and 12k.
Difference = (12-9)k = 78
3k = 78
k = 78 ÷ 3 = 26
Numbers = 234, 312
Answer = 312