CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
9 identical taps fill a tank in 41 hours. How long will 14 identical taps take?
A. 41 hours
B. 23.36 hours
C. 26.36 hours
D. 29.36 hours
Correct Answer: C
This is inverse proportion.
Taps × Time = constant
9 × 41 = 14 × t
t = (9 × 41) ÷ 14 = 26.36 hours
Answer = 26.36 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
8 identical taps fill a tank in 40 hours. How long will 12 identical taps take?
A. 40 hours
B. 23.67 hours
C. 26.67 hours
D. 29.67 hours
Correct Answer: C
This is inverse proportion.
Taps × Time = constant
8 × 40 = 12 × t
t = (8 × 40) ÷ 12 = 26.67 hours
Answer = 26.67 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
7 identical taps fill a tank in 39 hours. How long will 10 identical taps take?
A. 27.3 hours
B. 30.3 hours
C. 39 hours
D. 24.3 hours
Correct Answer: A
This is inverse proportion.
Taps × Time = constant
7 × 39 = 10 × t
t = (7 × 39) ÷ 10 = 27.3 hours
Answer = 27.3 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
6 identical taps fill a tank in 38 hours. How long will 8 identical taps take?
A. 38 hours
B. 25.5 hours
C. 31.5 hours
D. 28.5 hours
Correct Answer: D
This is inverse proportion.
Taps × Time = constant
6 × 38 = 8 × t
t = (6 × 38) ÷ 8 = 28.5 hours
Answer = 28.5 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 12 notebooks cost Rs. 432, what is the cost of 21 notebooks?
A. Rs. 432
B. Rs. 792
C. Rs. 756
D. Rs. 720
Correct Answer: C
Cost of 1 notebook = Rs. 432 ÷ 12 = Rs. 36
Cost of 21 notebooks = 21 × Rs. 36 = Rs. 756
Answer = Rs. 756
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 11 notebooks cost Rs. 385, what is the cost of 19 notebooks?
A. Rs. 665
B. Rs. 700
C. Rs. 385
D. Rs. 630
Correct Answer: A
Cost of 1 notebook = Rs. 385 ÷ 11 = Rs. 35
Cost of 19 notebooks = 19 × Rs. 35 = Rs. 665
Answer = Rs. 665
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 10 notebooks cost Rs. 340, what is the cost of 17 notebooks?
A. Rs. 578
B. Rs. 340
C. Rs. 544
D. Rs. 612
Correct Answer: A
Cost of 1 notebook = Rs. 340 ÷ 10 = Rs. 34
Cost of 17 notebooks = 17 × Rs. 34 = Rs. 578
Answer = Rs. 578
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 9 notebooks cost Rs. 297, what is the cost of 15 notebooks?
A. Rs. 528
B. Rs. 495
C. Rs. 297
D. Rs. 462
Correct Answer: B
Cost of 1 notebook = Rs. 297 ÷ 9 = Rs. 33
Cost of 15 notebooks = 15 × Rs. 33 = Rs. 495
Answer = Rs. 495
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
11 workers complete a job in 29 days. How many days will 17 equally efficient workers take?
A. 16.76 days
B. 18.76 days
C. 29 days
D. 20.76 days
Correct Answer: B
For fixed work, Workers × Days = constant.
11 × 29 = 17 × d
d = (11 × 29) ÷ 17
= 18.76 days
Answer = 18.76 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
10 workers complete a job in 28 days. How many days will 15 equally efficient workers take?
A. 18.67 days
B. 20.67 days
C. 28 days
D. 16.67 days
Correct Answer: A
For fixed work, Workers × Days = constant.
10 × 28 = 15 × d
d = (10 × 28) ÷ 15
= 18.67 days
Answer = 18.67 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
9 workers complete a job in 27 days. How many days will 13 equally efficient workers take?
A. 20.69 days
B. 16.69 days
C. 27 days
D. 18.69 days
Correct Answer: D
For fixed work, Workers × Days = constant.
9 × 27 = 13 × d
d = (9 × 27) ÷ 13
= 18.69 days
Answer = 18.69 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
8 workers complete a job in 26 days. How many days will 11 equally efficient workers take?
A. 18.91 days
B. 20.91 days
C. 16.91 days
D. 26 days
Correct Answer: A
For fixed work, Workers × Days = constant.
8 × 26 = 11 × d
d = (8 × 26) ÷ 11
= 18.91 days
Answer = 18.91 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 10 units cost Rs. 350, what will 16 units cost at the same rate?
A. Rs. 560
B. Rs. 350
C. Rs. 525
D. Rs. 595
Correct Answer: A
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 350 ÷ 10 = Rs. 35
Cost of 16 units = 16 × Rs. 35 = Rs. 560
Answer = Rs. 560
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 9 units cost Rs. 306, what will 14 units cost at the same rate?
A. Rs. 510
B. Rs. 306
C. Rs. 442
D. Rs. 476
Correct Answer: D
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 306 ÷ 9 = Rs. 34
Cost of 14 units = 14 × Rs. 34 = Rs. 476
Answer = Rs. 476
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 8 units cost Rs. 264, what will 12 units cost at the same rate?
A. Rs. 396
B. Rs. 429
C. Rs. 264
D. Rs. 363
Correct Answer: A
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 264 ÷ 8 = Rs. 33
Cost of 12 units = 12 × Rs. 33 = Rs. 396
Answer = Rs. 396
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 7 units cost Rs. 224, what will 10 units cost at the same rate?
A. Rs. 320
B. Rs. 352
C. Rs. 224
D. Rs. 288
Correct Answer: A
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 224 ÷ 7 = Rs. 32
Cost of 10 units = 10 × Rs. 32 = Rs. 320
Answer = Rs. 320
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 9:15 and their difference is 138. Find the smaller number.
A. 23
B. 345
C. 207
D. 138
Correct Answer: C
Let numbers = 9k and 15k.
Difference = (15-9)k = 138
6k = 138
k = 138 ÷ 6 = 23
Numbers = 207, 345
Answer = 207
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 8:13 and their difference is 110. Find the smaller number.
A. 286
B. 176
C. 110
D. 22
Correct Answer: B
Let numbers = 8k and 13k.
Difference = (13-8)k = 110
5k = 110
k = 110 ÷ 5 = 22
Numbers = 176, 286
Answer = 176
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 7:11 and their difference is 84. Find the larger number.
A. 231
B. 21
C. 84
D. 147
Correct Answer: A
Let numbers = 7k and 11k.
Difference = (11-7)k = 84
4k = 84
k = 84 ÷ 4 = 21
Numbers = 147, 231
Answer = 231
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 6:9 and their difference is 60. Find the larger number.
A. 120
B. 20
C. 180
D. 60
Correct Answer: C
Let numbers = 6k and 9k.
Difference = (9-6)k = 60
3k = 60
k = 60 ÷ 3 = 20
Numbers = 120, 180
Answer = 180