CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
11 identical taps fill a tank in 45 hours. How long will 16 identical taps take?
A. 45 hours
B. 33.94 hours
C. 30.94 hours
D. 27.94 hours
Correct Answer: C
This is inverse proportion.
Taps × Time = constant
11 × 45 = 16 × t
t = (11 × 45) ÷ 16 = 30.94 hours
Answer = 30.94 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
10 identical taps fill a tank in 44 hours. How long will 14 identical taps take?
A. 44 hours
B. 28.43 hours
C. 31.43 hours
D. 34.43 hours
Correct Answer: C
This is inverse proportion.
Taps × Time = constant
10 × 44 = 14 × t
t = (10 × 44) ÷ 14 = 31.43 hours
Answer = 31.43 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
9 identical taps fill a tank in 43 hours. How long will 12 identical taps take?
A. 29.25 hours
B. 43 hours
C. 32.25 hours
D. 35.25 hours
Correct Answer: C
This is inverse proportion.
Taps × Time = constant
9 × 43 = 12 × t
t = (9 × 43) ÷ 12 = 32.25 hours
Answer = 32.25 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
8 identical taps fill a tank in 42 hours. How long will 10 identical taps take?
A. 33.6 hours
B. 30.6 hours
C. 42 hours
D. 36.6 hours
Correct Answer: A
This is inverse proportion.
Taps × Time = constant
8 × 42 = 10 × t
t = (8 × 42) ÷ 10 = 33.6 hours
Answer = 33.6 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 14 notebooks cost Rs. 560, what is the cost of 23 notebooks?
A. Rs. 560
B. Rs. 920
C. Rs. 960
D. Rs. 880
Correct Answer: B
Cost of 1 notebook = Rs. 560 ÷ 14 = Rs. 40
Cost of 23 notebooks = 23 × Rs. 40 = Rs. 920
Answer = Rs. 920
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 13 notebooks cost Rs. 507, what is the cost of 21 notebooks?
A. Rs. 819
B. Rs. 507
C. Rs. 780
D. Rs. 858
Correct Answer: A
Cost of 1 notebook = Rs. 507 ÷ 13 = Rs. 39
Cost of 21 notebooks = 21 × Rs. 39 = Rs. 819
Answer = Rs. 819
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 12 notebooks cost Rs. 456, what is the cost of 19 notebooks?
A. Rs. 456
B. Rs. 684
C. Rs. 760
D. Rs. 722
Correct Answer: D
Cost of 1 notebook = Rs. 456 ÷ 12 = Rs. 38
Cost of 19 notebooks = 19 × Rs. 38 = Rs. 722
Answer = Rs. 722
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 11 notebooks cost Rs. 407, what is the cost of 17 notebooks?
A. Rs. 629
B. Rs. 666
C. Rs. 592
D. Rs. 407
Correct Answer: A
Cost of 1 notebook = Rs. 407 ÷ 11 = Rs. 37
Cost of 17 notebooks = 17 × Rs. 37 = Rs. 629
Answer = Rs. 629
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
13 workers complete a job in 33 days. How many days will 19 equally efficient workers take?
A. 33 days
B. 22.58 days
C. 20.58 days
D. 24.58 days
Correct Answer: B
For fixed work, Workers × Days = constant.
13 × 33 = 19 × d
d = (13 × 33) ÷ 19
= 22.58 days
Answer = 22.58 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
12 workers complete a job in 32 days. How many days will 17 equally efficient workers take?
A. 22.59 days
B. 20.59 days
C. 32 days
D. 24.59 days
Correct Answer: A
For fixed work, Workers × Days = constant.
12 × 32 = 17 × d
d = (12 × 32) ÷ 17
= 22.59 days
Answer = 22.59 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
11 workers complete a job in 31 days. How many days will 15 equally efficient workers take?
A. 20.73 days
B. 31 days
C. 24.73 days
D. 22.73 days
Correct Answer: D
For fixed work, Workers × Days = constant.
11 × 31 = 15 × d
d = (11 × 31) ÷ 15
= 22.73 days
Answer = 22.73 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
10 workers complete a job in 30 days. How many days will 13 equally efficient workers take?
A. 25.08 days
B. 21.08 days
C. 23.08 days
D. 30 days
Correct Answer: C
For fixed work, Workers × Days = constant.
10 × 30 = 13 × d
d = (10 × 30) ÷ 13
= 23.08 days
Answer = 23.08 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 12 units cost Rs. 492, what will 18 units cost at the same rate?
A. Rs. 779
B. Rs. 492
C. Rs. 738
D. Rs. 697
Correct Answer: C
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 492 ÷ 12 = Rs. 41
Cost of 18 units = 18 × Rs. 41 = Rs. 738
Answer = Rs. 738
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 11 units cost Rs. 440, what will 16 units cost at the same rate?
A. Rs. 640
B. Rs. 680
C. Rs. 440
D. Rs. 600
Correct Answer: A
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 440 ÷ 11 = Rs. 40
Cost of 16 units = 16 × Rs. 40 = Rs. 640
Answer = Rs. 640
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 10 units cost Rs. 390, what will 14 units cost at the same rate?
A. Rs. 546
B. Rs. 507
C. Rs. 390
D. Rs. 585
Correct Answer: A
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 390 ÷ 10 = Rs. 39
Cost of 14 units = 14 × Rs. 39 = Rs. 546
Answer = Rs. 546
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 9 units cost Rs. 342, what will 12 units cost at the same rate?
A. Rs. 418
B. Rs. 342
C. Rs. 494
D. Rs. 456
Correct Answer: D
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 342 ÷ 9 = Rs. 38
Cost of 12 units = 12 × Rs. 38 = Rs. 456
Answer = Rs. 456
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 11:17 and their difference is 162. Find the smaller number.
A. 459
B. 162
C. 297
D. 27
Correct Answer: C
Let numbers = 11k and 17k.
Difference = (17-11)k = 162
6k = 162
k = 162 ÷ 6 = 27
Numbers = 297, 459
Answer = 297
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 10:15 and their difference is 130. Find the smaller number.
A. 26
B. 130
C. 390
D. 260
Correct Answer: D
Let numbers = 10k and 15k.
Difference = (15-10)k = 130
5k = 130
k = 130 ÷ 5 = 26
Numbers = 260, 390
Answer = 260
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 9:13 and their difference is 100. Find the larger number.
A. 325
B. 225
C. 100
D. 25
Correct Answer: A
Let numbers = 9k and 13k.
Difference = (13-9)k = 100
4k = 100
k = 100 ÷ 4 = 25
Numbers = 225, 325
Answer = 325
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 8:11 and their difference is 72. Find the larger number.
A. 264
B. 72
C. 192
D. 24
Correct Answer: A
Let numbers = 8k and 11k.
Difference = (11-8)k = 72
3k = 72
k = 72 ÷ 3 = 24
Numbers = 192, 264
Answer = 264