CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 9:16 and their sum is 525. Find the smaller number.
A. 21
B. 189
C. 525
D. 336
Correct Answer: B
Let the numbers be 9k and 16k.
(9+16)k = 525
25k = 525
k = 525 ÷ 25 = 21
Numbers = 189 and 336
Answer = 189
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 8:15 and their sum is 460. Find the smaller number.
A. 460
B. 20
C. 160
D. 300
Correct Answer: C
Let the numbers be 8k and 15k.
(8+15)k = 460
23k = 460
k = 460 ÷ 23 = 20
Numbers = 160 and 300
Answer = 160
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 7:14 and their sum is 399. Find the larger number.
A. 399
B. 266
C. 19
D. 133
Correct Answer: B
Let the numbers be 7k and 14k.
(7+14)k = 399
21k = 399
k = 399 ÷ 21 = 19
Numbers = 133 and 266
Answer = 266
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 6:13 and their sum is 342. Find the larger number.
A. 108
B. 234
C. 342
D. 18
Correct Answer: B
Let the numbers be 6k and 13k.
(6+13)k = 342
19k = 342
k = 342 ÷ 19 = 18
Numbers = 108 and 234
Answer = 234
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 1,800 in the ratio 9:15. What is the second share?
A. Rs. 1,800
B. Rs. 1,125
C. Rs. 75
D. Rs. 675
Correct Answer: B
Total parts = 9+15 = 24
1 part = Rs. 1,800 ÷ 24 = Rs. 75
Second share = 15 × Rs. 75 = Rs. 1,125
Answer = Rs. 1,125
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 1,540 in the ratio 8:14. What is the first share?
A. Rs. 70
B. Rs. 560
C. Rs. 1,540
D. Rs. 980
Correct Answer: B
Total parts = 8+14 = 22
1 part = Rs. 1,540 ÷ 22 = Rs. 70
First share = 8 × Rs. 70 = Rs. 560
Answer = Rs. 560
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 1,300 in the ratio 7:13. What is the second share?
A. Rs. 845
B. Rs. 65
C. Rs. 455
D. Rs. 1,300
Correct Answer: A
Total parts = 7+13 = 20
1 part = Rs. 1,300 ÷ 20 = Rs. 65
Second share = 13 × Rs. 65 = Rs. 845
Answer = Rs. 845
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 1,080 in the ratio 6:12. What is the first share?
A. Rs. 720
B. Rs. 60
C. Rs. 360
D. Rs. 1,080
Correct Answer: C
Total parts = 6+12 = 18
1 part = Rs. 1,080 ÷ 18 = Rs. 60
First share = 6 × Rs. 60 = Rs. 360
Answer = Rs. 360
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the fraction 11/22 as a ratio in simplest form.
A. 1:2
B. 33:1
C. None of these 1
D. 2:1
Correct Answer: A
11/22 corresponds to 11:22.
HCF(11,22) = 11
Simplified ratio = 1:2
Answer = 1:2
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the fraction 10/21 as a ratio in simplest form.
A. 21:10
B. 10:21
C. 1:21
D. 31:1
Correct Answer: B
10/21 corresponds to 10:21.
HCF(10,21) = 1
Simplified ratio = 10:21
Answer = 10:21
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the ratio 8:17 as a fraction in simplest form.
A. 17/8
B. 8/25
C. 25/17
D. 8/17
Correct Answer: D
8:17 = 8/17
HCF(8,17) = 1
Simplified fraction = 8/17
Answer = 8/17
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the ratio 7:16 as a fraction in simplest form.
A. 16/7
B. 7/23
C. 7/16
D. 23/16
Correct Answer: C
7:16 = 7/16
HCF(7,16) = 1
Simplified fraction = 7/16
Answer = 7/16
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 9:16 = x:96, find x.
A. 25
B. 54
C. 60
D. 48
Correct Answer: B
The second term is multiplied by 6: 16 × 6 = 96.
Multiply the first term by the same factor:
x = 9 × 6 = 54
Answer = 54
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 8:15 = 40:x, find x.
A. 70
B. 80
C. 75
D. 23
Correct Answer: C
The first term is multiplied by 5: 8 × 5 = 40.
Multiply the second term by the same factor:
x = 15 × 5 = 75
Answer = 75
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 7:14 = x:56, find x.
A. 32
B. 24
C. 28
D. 21
Correct Answer: C
The second term is multiplied by 4: 14 × 4 = 56.
Multiply the first term by the same factor:
x = 7 × 4 = 28
Answer = 28
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 6:13 = 18:x, find x.
A. 19
B. 39
C. 42
D. 36
Correct Answer: B
The first term is multiplied by 3: 6 × 3 = 18.
Multiply the second term by the same factor:
x = 13 × 3 = 39
Answer = 39
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 190:255 to its lowest terms.
A. 190:255
B. 38:51
C. 38:52
D. 39:51
Correct Answer: B
HCF of 190 and 255 = 5
Divide both terms by 5:
190:255 = (190 ÷ 5):(255 ÷ 5)
= 38:51
Answer = 38:51
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 140:188 to its lowest terms.
A. 35:47
B. 35:48
C. 140:188
D. 36:47
Correct Answer: A
HCF of 140 and 188 = 4
Divide both terms by 4:
140:188 = (140 ÷ 4):(188 ÷ 4)
= 35:47
Answer = 35:47
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 96:129 to its lowest terms.
A. 96:129
B. 32:44
C. 32:43
D. 33:43
Correct Answer: C
HCF of 96 and 129 = 3
Divide both terms by 3:
96:129 = (96 ÷ 3):(129 ÷ 3)
= 32:43
Answer = 32:43
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 58:78 to its lowest terms.
A. 29:40
B. 58:78
C. 30:39
D. 29:39
Correct Answer: D
HCF of 58 and 78 = 2
Divide both terms by 2:
58:78 = (58 ÷ 2):(78 ÷ 2)
= 29:39
Answer = 29:39