CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
7 identical taps fill a tank in 37 hours. How long will 12 identical taps take?
A. 37 hours
B. 18.58 hours
C. 24.58 hours
D. 21.58 hours
Correct Answer: D
This is inverse proportion.
Taps × Time = constant
7 × 37 = 12 × t
t = (7 × 37) ÷ 12 = 21.58 hours
Answer = 21.58 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
6 identical taps fill a tank in 36 hours. How long will 10 identical taps take?
A. 18.6 hours
B. 36 hours
C. 21.6 hours
D. 24.6 hours
Correct Answer: C
This is inverse proportion.
Taps × Time = constant
6 × 36 = 10 × t
t = (6 × 36) ÷ 10 = 21.6 hours
Answer = 21.6 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
5 identical taps fill a tank in 35 hours. How long will 8 identical taps take?
A. 24.88 hours
B. 18.88 hours
C. 21.88 hours
D. 35 hours
Correct Answer: C
This is inverse proportion.
Taps × Time = constant
5 × 35 = 8 × t
t = (5 × 35) ÷ 8 = 21.88 hours
Answer = 21.88 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
4 identical taps fill a tank in 34 hours. How long will 6 identical taps take?
A. 34 hours
B. 22.67 hours
C. 25.67 hours
D. 19.67 hours
Correct Answer: B
This is inverse proportion.
Taps × Time = constant
4 × 34 = 6 × t
t = (4 × 34) ÷ 6 = 22.67 hours
Answer = 22.67 hours
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 10 notebooks cost Rs. 320, what is the cost of 19 notebooks?
A. Rs. 608
B. Rs. 640
C. Rs. 576
D. Rs. 320
Correct Answer: A
Cost of 1 notebook = Rs. 320 ÷ 10 = Rs. 32
Cost of 19 notebooks = 19 × Rs. 32 = Rs. 608
Answer = Rs. 608
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 9 notebooks cost Rs. 279, what is the cost of 17 notebooks?
A. Rs. 558
B. Rs. 527
C. Rs. 279
D. Rs. 496
Correct Answer: B
Cost of 1 notebook = Rs. 279 ÷ 9 = Rs. 31
Cost of 17 notebooks = 17 × Rs. 31 = Rs. 527
Answer = Rs. 527
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 8 notebooks cost Rs. 240, what is the cost of 15 notebooks?
A. Rs. 420
B. Rs. 450
C. Rs. 240
D. Rs. 480
Correct Answer: B
Cost of 1 notebook = Rs. 240 ÷ 8 = Rs. 30
Cost of 15 notebooks = 15 × Rs. 30 = Rs. 450
Answer = Rs. 450
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 7 notebooks cost Rs. 203, what is the cost of 13 notebooks?
A. Rs. 203
B. Rs. 348
C. Rs. 377
D. Rs. 406
Correct Answer: C
Cost of 1 notebook = Rs. 203 ÷ 7 = Rs. 29
Cost of 13 notebooks = 13 × Rs. 29 = Rs. 377
Answer = Rs. 377
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
9 workers complete a job in 25 days. How many days will 15 equally efficient workers take?
A. 13 days
B. 15 days
C. 25 days
D. 17 days
Correct Answer: B
For fixed work, Workers × Days = constant.
9 × 25 = 15 × d
d = (9 × 25) ÷ 15
= 15 days
Answer = 15 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
8 workers complete a job in 24 days. How many days will 13 equally efficient workers take?
A. 12.77 days
B. 16.77 days
C. 24 days
D. 14.77 days
Correct Answer: D
For fixed work, Workers × Days = constant.
8 × 24 = 13 × d
d = (8 × 24) ÷ 13
= 14.77 days
Answer = 14.77 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
7 workers complete a job in 23 days. How many days will 11 equally efficient workers take?
A. 14.64 days
B. 23 days
C. 12.64 days
D. 16.64 days
Correct Answer: A
For fixed work, Workers × Days = constant.
7 × 23 = 11 × d
d = (7 × 23) ÷ 11
= 14.64 days
Answer = 14.64 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
6 workers complete a job in 22 days. How many days will 9 equally efficient workers take?
A. 14.67 days
B. 22 days
C. 16.67 days
D. 12.67 days
Correct Answer: A
For fixed work, Workers × Days = constant.
6 × 22 = 9 × d
d = (6 × 22) ÷ 9
= 14.67 days
Answer = 14.67 days
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 8 units cost Rs. 232, what will 14 units cost at the same rate?
A. Rs. 435
B. Rs. 232
C. Rs. 377
D. Rs. 406
Correct Answer: D
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 232 ÷ 8 = Rs. 29
Cost of 14 units = 14 × Rs. 29 = Rs. 406
Answer = Rs. 406
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 7 units cost Rs. 196, what will 12 units cost at the same rate?
A. Rs. 364
B. Rs. 336
C. Rs. 308
D. Rs. 196
Correct Answer: B
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 196 ÷ 7 = Rs. 28
Cost of 12 units = 12 × Rs. 28 = Rs. 336
Answer = Rs. 336
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 6 units cost Rs. 162, what will 10 units cost at the same rate?
A. Rs. 270
B. Rs. 243
C. Rs. 297
D. Rs. 162
Correct Answer: A
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 162 ÷ 6 = Rs. 27
Cost of 10 units = 10 × Rs. 27 = Rs. 270
Answer = Rs. 270
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 5 units cost Rs. 130, what will 8 units cost at the same rate?
A. Rs. 208
B. Rs. 130
C. Rs. 234
D. Rs. 182
Correct Answer: A
Direct proportion: Cost ∝ Quantity
Cost of 1 unit = Rs. 130 ÷ 5 = Rs. 26
Cost of 8 units = 8 × Rs. 26 = Rs. 208
Answer = Rs. 208
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 7:13 and their difference is 114. Find the smaller number.
A. 114
B. 133
C. 247
D. 19
Correct Answer: B
Let numbers = 7k and 13k.
Difference = (13-7)k = 114
6k = 114
k = 114 ÷ 6 = 19
Numbers = 133, 247
Answer = 133
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 6:11 and their difference is 90. Find the smaller number.
A. 18
B. 90
C. 108
D. 198
Correct Answer: C
Let numbers = 6k and 11k.
Difference = (11-6)k = 90
5k = 90
k = 90 ÷ 5 = 18
Numbers = 108, 198
Answer = 108
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 5:9 and their difference is 68. Find the larger number.
A. 85
B. 68
C. 17
D. 153
Correct Answer: D
Let numbers = 5k and 9k.
Difference = (9-5)k = 68
4k = 68
k = 68 ÷ 4 = 17
Numbers = 85, 153
Answer = 153
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 4:7 and their difference is 48. Find the larger number.
A. 16
B. 112
C. 48
D. 64
Correct Answer: B
Let numbers = 4k and 7k.
Difference = (7-4)k = 48
3k = 48
k = 48 ÷ 3 = 16
Numbers = 64, 112
Answer = 112