CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 7:12 and their sum is 323. Find the smaller number.
A. 323
B. 17
C. 204
D. 119
Correct Answer: D
Let the numbers be 7k and 12k.
(7+12)k = 323
19k = 323
k = 323 ÷ 19 = 17
Numbers = 119 and 204
Answer = 119
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 6:11 and their sum is 272. Find the smaller number.
A. 96
B. 16
C. 272
D. 176
Correct Answer: A
Let the numbers be 6k and 11k.
(6+11)k = 272
17k = 272
k = 272 ÷ 17 = 16
Numbers = 96 and 176
Answer = 96
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 5:10 and their sum is 225. Find the larger number.
A. 75
B. 15
C. 150
D. 225
Correct Answer: C
Let the numbers be 5k and 10k.
(5+10)k = 225
15k = 225
k = 225 ÷ 15 = 15
Numbers = 75 and 150
Answer = 150
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 4:9 and their sum is 182. Find the larger number.
A. 56
B. 14
C. 182
D. 126
Correct Answer: D
Let the numbers be 4k and 9k.
(4+9)k = 182
13k = 182
k = 182 ÷ 13 = 14
Numbers = 56 and 126
Answer = 126
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 1,170 in the ratio 7:11. What is the second share?
A. Rs. 715
B. Rs. 1,170
C. Rs. 455
D. Rs. 65
Correct Answer: A
Total parts = 7+11 = 18
1 part = Rs. 1,170 ÷ 18 = Rs. 65
Second share = 11 × Rs. 65 = Rs. 715
Answer = Rs. 715
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 960 in the ratio 6:10. What is the first share?
A. Rs. 600
B. Rs. 60
C. Rs. 960
D. Rs. 360
Correct Answer: D
Total parts = 6+10 = 16
1 part = Rs. 960 ÷ 16 = Rs. 60
First share = 6 × Rs. 60 = Rs. 360
Answer = Rs. 360
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 770 in the ratio 5:9. What is the second share?
A. Rs. 275
B. Rs. 495
C. Rs. 770
D. Rs. 55
Correct Answer: B
Total parts = 5+9 = 14
1 part = Rs. 770 ÷ 14 = Rs. 55
Second share = 9 × Rs. 55 = Rs. 495
Answer = Rs. 495
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 600 in the ratio 4:8. What is the first share?
A. Rs. 50
B. Rs. 400
C. Rs. 600
D. Rs. 200
Correct Answer: D
Total parts = 4+8 = 12
1 part = Rs. 600 ÷ 12 = Rs. 50
First share = 4 × Rs. 50 = Rs. 200
Answer = Rs. 200
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the fraction 9/18 as a ratio in simplest form.
A. None of these 1
B. 27:1
C. 2:1
D. 1:2
Correct Answer: D
9/18 corresponds to 9:18.
HCF(9,18) = 9
Simplified ratio = 1:2
Answer = 1:2
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the fraction 8/17 as a ratio in simplest form.
A. 8:17
B. 25:1
C. 17:8
D. 1:17
Correct Answer: A
8/17 corresponds to 8:17.
HCF(8,17) = 1
Simplified ratio = 8:17
Answer = 8:17
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the ratio 6:13 as a fraction in simplest form.
A. 6/19
B. 19/13
C. 6/13
D. 13/6
Correct Answer: C
6:13 = 6/13
HCF(6,13) = 1
Simplified fraction = 6/13
Answer = 6/13
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the ratio 5:12 as a fraction in simplest form.
A. 17/12
B. 12/5
C. 5/12
D. 5/17
Correct Answer: C
5:12 = 5/12
HCF(5,12) = 1
Simplified fraction = 5/12
Answer = 5/12
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 7:12 = x:72, find x.
A. 36
B. 42
C. 19
D. 48
Correct Answer: B
The second term is multiplied by 6: 12 × 6 = 72.
Multiply the first term by the same factor:
x = 7 × 6 = 42
Answer = 42
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 6:11 = 30:x, find x.
A. 55
B. 60
C. 17
D. 50
Correct Answer: A
The first term is multiplied by 5: 6 × 5 = 30.
Multiply the second term by the same factor:
x = 11 × 5 = 55
Answer = 55
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 5:10 = x:40, find x.
A. 24
B. 15
C. 20
D. 16
Correct Answer: C
The second term is multiplied by 4: 10 × 4 = 40.
Multiply the first term by the same factor:
x = 5 × 4 = 20
Answer = 20
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 4:9 = 12:x, find x.
A. 30
B. 13
C. 27
D. 24
Correct Answer: C
The first term is multiplied by 3: 4 × 3 = 12.
Multiply the second term by the same factor:
x = 9 × 3 = 27
Answer = 27
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 150:205 to its lowest terms.
A. 150:205
B. 30:41
C. 30:42
D. 31:41
Correct Answer: B
HCF of 150 and 205 = 5
Divide both terms by 5:
150:205 = (150 ÷ 5):(205 ÷ 5)
= 30:41
Answer = 30:41
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 108:148 to its lowest terms.
A. 108:148
B. 27:38
C. 27:37
D. 28:37
Correct Answer: C
HCF of 108 and 148 = 4
Divide both terms by 4:
108:148 = (108 ÷ 4):(148 ÷ 4)
= 27:37
Answer = 27:37
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 72:99 to its lowest terms.
A. 8:12
B. 72:99
C. 8:11
D. 9:11
Correct Answer: C
HCF of 72 and 99 = 9
Divide both terms by 9:
72:99 = (72 ÷ 9):(99 ÷ 9)
= 8:11
Answer = 8:11
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 42:58 to its lowest terms.
A. 21:29
B. 21:30
C. 22:29
D. 42:58
Correct Answer: A
HCF of 42 and 58 = 2
Divide both terms by 2:
42:58 = (42 ÷ 2):(58 ÷ 2)
= 21:29
Answer = 21:29