CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
10 identical taps fill a tank in 43 hours. How long will 15 identical taps take?
A. 31.67 hours
B. 43 hours
C. 28.67 hours
D. 25.67 hours
Correct Answer: C
This is inverse proportion.
Taps × Time = constant
10 × 43 = 15 × t
t = (10 × 43) ÷ 15 = 28.67 hours
Answer = 28.67 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
9 identical taps fill a tank in 42 hours. How long will 13 identical taps take?
A. 32.08 hours
B. 26.08 hours
C. 42 hours
D. 29.08 hours
Correct Answer: D
This is inverse proportion.
Taps × Time = constant
9 × 42 = 13 × t
t = (9 × 42) ÷ 13 = 29.08 hours
Answer = 29.08 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
8 identical taps fill a tank in 41 hours. How long will 11 identical taps take?
A. 29.82 hours
B. 26.82 hours
C. 41 hours
D. 32.82 hours
Correct Answer: A
This is inverse proportion.
Taps × Time = constant
8 × 41 = 11 × t
t = (8 × 41) ÷ 11 = 29.82 hours
Answer = 29.82 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
7 identical taps fill a tank in 40 hours. How long will 9 identical taps take?
A. 40 hours
B. 31.11 hours
C. 28.11 hours
D. 34.11 hours
Correct Answer: B
This is inverse proportion.
Taps × Time = constant
7 × 40 = 9 × t
t = (7 × 40) ÷ 9 = 31.11 hours
Answer = 31.11 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 13 notebooks cost Rs. 494, what is the cost of 22 notebooks?
A. Rs. 494
B. Rs. 798
C. Rs. 836
D. Rs. 874
Correct Answer: C
Cost of 1 notebook = Rs. 494 ÷ 13 = Rs. 38
Cost of 22 notebooks = 22 × Rs. 38 = Rs. 836
Answer = Rs. 836
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 12 notebooks cost Rs. 444, what is the cost of 20 notebooks?
A. Rs. 703
B. Rs. 777
C. Rs. 444
D. Rs. 740
Correct Answer: D
Cost of 1 notebook = Rs. 444 ÷ 12 = Rs. 37
Cost of 20 notebooks = 20 × Rs. 37 = Rs. 740
Answer = Rs. 740
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 11 notebooks cost Rs. 396, what is the cost of 18 notebooks?
A. Rs. 684
B. Rs. 648
C. Rs. 612
D. Rs. 396
Correct Answer: B
Cost of 1 notebook = Rs. 396 ÷ 11 = Rs. 36
Cost of 18 notebooks = 18 × Rs. 36 = Rs. 648
Answer = Rs. 648
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 10 notebooks cost Rs. 350, what is the cost of 16 notebooks?
A. Rs. 595
B. Rs. 560
C. Rs. 350
D. Rs. 525
Correct Answer: B
Cost of 1 notebook = Rs. 350 ÷ 10 = Rs. 35
Cost of 16 notebooks = 16 × Rs. 35 = Rs. 560
Answer = Rs. 560
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
12 workers complete a job in 31 days. How many days will 18 equally efficient workers take?
A. 18.67 days
B. 20.67 days
C. 31 days
D. 22.67 days
Correct Answer: B
For fixed work, Workers × Days = constant.
12 × 31 = 18 × d
d = (12 × 31) ÷ 18
= 20.67 days
Answer = 20.67 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
11 workers complete a job in 30 days. How many days will 16 equally efficient workers take?
A. 20.62 days
B. 18.62 days
C. 30 days
D. 22.62 days
Correct Answer: A
For fixed work, Workers × Days = constant.
11 × 30 = 16 × d
d = (11 × 30) ÷ 16
= 20.62 days
Answer = 20.62 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
10 workers complete a job in 29 days. How many days will 14 equally efficient workers take?
A. 22.71 days
B. 29 days
C. 18.71 days
D. 20.71 days
Correct Answer: D
For fixed work, Workers × Days = constant.
10 × 29 = 14 × d
d = (10 × 29) ÷ 14
= 20.71 days
Answer = 20.71 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
9 workers complete a job in 28 days. How many days will 12 equally efficient workers take?
A. 19 days
B. 23 days
C. 21 days
D. 28 days
Correct Answer: C
For fixed work, Workers × Days = constant.
9 × 28 = 12 × d
d = (9 × 28) ÷ 12
= 21 days
Answer = 21 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 11 units cost Rs. 418, what will 17 units cost at the same rate?
A. Rs. 608
B. Rs. 418
C. Rs. 646
D. Rs. 684
Correct Answer: C
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 418 ÷ 11 = Rs. 38
Cost of 17 units = 17 × Rs. 38 = Rs. 646
Answer = Rs. 646
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 10 units cost Rs. 370, what will 15 units cost at the same rate?
A. Rs. 518
B. Rs. 555
C. Rs. 370
D. Rs. 592
Correct Answer: B
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 370 ÷ 10 = Rs. 37
Cost of 15 units = 15 × Rs. 37 = Rs. 555
Answer = Rs. 555
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 9 units cost Rs. 324, what will 13 units cost at the same rate?
A. Rs. 468
B. Rs. 324
C. Rs. 504
D. Rs. 432
Correct Answer: A
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 324 ÷ 9 = Rs. 36
Cost of 13 units = 13 × Rs. 36 = Rs. 468
Answer = Rs. 468
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 8 units cost Rs. 280, what will 11 units cost at the same rate?
A. Rs. 280
B. Rs. 385
C. Rs. 350
D. Rs. 420
Correct Answer: B
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 280 ÷ 8 = Rs. 35
Cost of 11 units = 11 × Rs. 35 = Rs. 385
Answer = Rs. 385
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 10:16 and their difference is 150. Find the smaller number.
A. 25
B. 150
C. 400
D. 250
Correct Answer: D
Let numbers = 10k and 16k.
Difference = (16-10)k = 150
6k = 150
k = 150 ÷ 6 = 25
Numbers = 250, 400
Answer = 250
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 9:14 and their difference is 120. Find the smaller number.
A. 216
B. 120
C. 24
D. 336
Correct Answer: A
Let numbers = 9k and 14k.
Difference = (14-9)k = 120
5k = 120
k = 120 ÷ 5 = 24
Numbers = 216, 336
Answer = 216
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 8:12 and their difference is 92. Find the larger number.
A. 276
B. 92
C. 23
D. 184
Correct Answer: A
Let numbers = 8k and 12k.
Difference = (12-8)k = 92
4k = 92
k = 92 ÷ 4 = 23
Numbers = 184, 276
Answer = 276
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 7:10 and their difference is 66. Find the larger number.
A. 220
B. 154
C. 22
D. 66
Correct Answer: A
Let numbers = 7k and 10k.
Difference = (10-7)k = 66
3k = 66
k = 66 ÷ 3 = 22
Numbers = 154, 220
Answer = 220