CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 11:20 and their sum is 775. Find the smaller number.
A. 775
B. 25
C. 500
D. 275
Correct Answer: D
Let the numbers be 11k and 20k.
(11+20)k = 775
31k = 775
k = 775 ÷ 31 = 25
Numbers = 275 and 500
Answer = 275
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 10:19 and their sum is 696. Find the smaller number.
A. 456
B. 696
C. 24
D. 240
Correct Answer: D
Let the numbers be 10k and 19k.
(10+19)k = 696
29k = 696
k = 696 ÷ 29 = 24
Numbers = 240 and 456
Answer = 240
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 9:18 and their sum is 621. Find the larger number.
A. 23
B. 207
C. 414
D. 621
Correct Answer: C
Let the numbers be 9k and 18k.
(9+18)k = 621
27k = 621
k = 621 ÷ 27 = 23
Numbers = 207 and 414
Answer = 414
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 8:17 and their sum is 550. Find the larger number.
A. 22
B. 550
C. 374
D. 176
Correct Answer: C
Let the numbers be 8k and 17k.
(8+17)k = 550
25k = 550
k = 550 ÷ 25 = 22
Numbers = 176 and 374
Answer = 374
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 2,550 in the ratio 11:19. What is the second share?
A. Rs. 935
B. Rs. 85
C. Rs. 2,550
D. Rs. 1,615
Correct Answer: D
Total parts = 11+19 = 30
1 part = Rs. 2,550 ÷ 30 = Rs. 85
Second share = 19 × Rs. 85 = Rs. 1,615
Answer = Rs. 1,615
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 2,240 in the ratio 10:18. What is the first share?
A. Rs. 2,240
B. Rs. 1,440
C. Rs. 800
D. Rs. 80
Correct Answer: C
Total parts = 10+18 = 28
1 part = Rs. 2,240 ÷ 28 = Rs. 80
First share = 10 × Rs. 80 = Rs. 800
Answer = Rs. 800
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 1,950 in the ratio 9:17. What is the second share?
A. Rs. 75
B. Rs. 1,950
C. Rs. 675
D. Rs. 1,275
Correct Answer: D
Total parts = 9+17 = 26
1 part = Rs. 1,950 ÷ 26 = Rs. 75
Second share = 17 × Rs. 75 = Rs. 1,275
Answer = Rs. 1,275
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 1,680 in the ratio 8:16. What is the first share?
A. Rs. 1,120
B. Rs. 560
C. Rs. 70
D. Rs. 1,680
Correct Answer: B
Total parts = 8+16 = 24
1 part = Rs. 1,680 ÷ 24 = Rs. 70
First share = 8 × Rs. 70 = Rs. 560
Answer = Rs. 560
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the fraction 13/26 as a ratio in simplest form.
A. 2:1
B. 1:2
C. None of these 1
D. 39:1
Correct Answer: B
13/26 corresponds to 13:26.
HCF(13,26) = 13
Simplified ratio = 1:2
Answer = 1:2
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the fraction 12/25 as a ratio in simplest form.
A. 12:25
B. 37:1
C. 25:12
D. 1:25
Correct Answer: A
12/25 corresponds to 12:25.
HCF(12,25) = 1
Simplified ratio = 12:25
Answer = 12:25
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the ratio 10:21 as a fraction in simplest form.
A. 10/31
B. 21/10
C. 31/21
D. 10/21
Correct Answer: D
10:21 = 10/21
HCF(10,21) = 1
Simplified fraction = 10/21
Answer = 10/21
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the ratio 9:20 as a fraction in simplest form.
A. 20/9
B. 9/29
C. 29/20
D. 9/20
Correct Answer: D
9:20 = 9/20
HCF(9,20) = 1
Simplified fraction = 9/20
Answer = 9/20
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 11:20 = x:120, find x.
A. 31
B. 72
C. 60
D. 66
Correct Answer: D
The second term is multiplied by 6: 20 × 6 = 120.
Multiply the first term by the same factor:
x = 11 × 6 = 66
Answer = 66
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 10:19 = 50:x, find x.
A. 90
B. 100
C. 29
D. 95
Correct Answer: D
The first term is multiplied by 5: 10 × 5 = 50.
Multiply the second term by the same factor:
x = 19 × 5 = 95
Answer = 95
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 9:18 = x:72, find x.
A. 32
B. 36
C. 27
D. 40
Correct Answer: B
The second term is multiplied by 4: 18 × 4 = 72.
Multiply the first term by the same factor:
x = 9 × 4 = 36
Answer = 36
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 8:17 = 24:x, find x.
A. 54
B. 25
C. 51
D. 48
Correct Answer: C
The first term is multiplied by 3: 8 × 3 = 24.
Multiply the second term by the same factor:
x = 17 × 3 = 51
Answer = 51
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 230:305 to its lowest terms.
A. 47:61
B. 46:61
C. 230:305
D. 46:62
Correct Answer: B
HCF of 230 and 305 = 5
Divide both terms by 5:
230:305 = (230 ÷ 5):(305 ÷ 5)
= 46:61
Answer = 46:61
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 172:228 to its lowest terms.
A. 43:58
B. 44:57
C. 43:57
D. 172:228
Correct Answer: C
HCF of 172 and 228 = 4
Divide both terms by 4:
172:228 = (172 ÷ 4):(228 ÷ 4)
= 43:57
Answer = 43:57
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 120:159 to its lowest terms.
A. 40:53
B. 41:53
C. 40:54
D. 120:159
Correct Answer: A
HCF of 120 and 159 = 3
Divide both terms by 3:
120:159 = (120 ÷ 3):(159 ÷ 3)
= 40:53
Answer = 40:53
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 74:98 to its lowest terms.
A. 74:98
B. 38:49
C. 37:50
D. 37:49
Correct Answer: D
HCF of 74 and 98 = 2
Divide both terms by 2:
74:98 = (74 ÷ 2):(98 ÷ 2)
= 37:49
Answer = 37:49