CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 12:22 and their sum is 918. Find the smaller number.
A. 918
B. 594
C. 324
D. 27
Correct Answer: C
Let the numbers be 12k and 22k.
(12+22)k = 918
34k = 918
k = 918 ÷ 34 = 27
Numbers = 324 and 594
Answer = 324
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 11:21 and their sum is 832. Find the smaller number.
A. 832
B. 286
C. 546
D. 26
Correct Answer: B
Let the numbers be 11k and 21k.
(11+21)k = 832
32k = 832
k = 832 ÷ 32 = 26
Numbers = 286 and 546
Answer = 286
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 10:20 and their sum is 750. Find the larger number.
A. 250
B. 750
C. 25
D. 500
Correct Answer: D
Let the numbers be 10k and 20k.
(10+20)k = 750
30k = 750
k = 750 ÷ 30 = 25
Numbers = 250 and 500
Answer = 500
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 9:19 and their sum is 672. Find the larger number.
A. 216
B. 24
C. 456
D. 672
Correct Answer: C
Let the numbers be 9k and 19k.
(9+19)k = 672
28k = 672
k = 672 ÷ 28 = 24
Numbers = 216 and 456
Answer = 456
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 2,970 in the ratio 12:21. What is the second share?
A. Rs. 1,080
B. Rs. 2,970
C. Rs. 90
D. Rs. 1,890
Correct Answer: D
Total parts = 12+21 = 33
1 part = Rs. 2,970 ÷ 33 = Rs. 90
Second share = 21 × Rs. 90 = Rs. 1,890
Answer = Rs. 1,890
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 2,635 in the ratio 11:20. What is the first share?
A. Rs. 85
B. Rs. 1,700
C. Rs. 935
D. Rs. 2,635
Correct Answer: C
Total parts = 11+20 = 31
1 part = Rs. 2,635 ÷ 31 = Rs. 85
First share = 11 × Rs. 85 = Rs. 935
Answer = Rs. 935
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 2,320 in the ratio 10:19. What is the second share?
A. Rs. 1,520
B. Rs. 2,320
C. Rs. 800
D. Rs. 80
Correct Answer: A
Total parts = 10+19 = 29
1 part = Rs. 2,320 ÷ 29 = Rs. 80
Second share = 19 × Rs. 80 = Rs. 1,520
Answer = Rs. 1,520
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 2,025 in the ratio 9:18. What is the first share?
A. Rs. 2,025
B. Rs. 1,350
C. Rs. 75
D. Rs. 675
Correct Answer: D
Total parts = 9+18 = 27
1 part = Rs. 2,025 ÷ 27 = Rs. 75
First share = 9 × Rs. 75 = Rs. 675
Answer = Rs. 675
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the fraction 14/28 as a ratio in simplest form.
A. None of these 1
B. 1:2
C. 2:1
D. 42:1
Correct Answer: B
14/28 corresponds to 14:28.
HCF(14,28) = 14
Simplified ratio = 1:2
Answer = 1:2
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the fraction 13/27 as a ratio in simplest form.
A. 1:27
B. 40:1
C. 27:13
D. 13:27
Correct Answer: D
13/27 corresponds to 13:27.
HCF(13,27) = 1
Simplified ratio = 13:27
Answer = 13:27
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the ratio 11:23 as a fraction in simplest form.
A. 23/11
B. 34/23
C. 11/34
D. 11/23
Correct Answer: D
11:23 = 11/23
HCF(11,23) = 1
Simplified fraction = 11/23
Answer = 11/23
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the ratio 10:22 as a fraction in simplest form.
A. 32/22
B. 11/5
C. 10/32
D. 5/11
Correct Answer: D
10:22 = 10/22
HCF(10,22) = 2
Simplified fraction = 5/11
Answer = 5/11
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 12:22 = x:132, find x.
A. 72
B. 78
C. 66
D. 34
Correct Answer: A
The second term is multiplied by 6: 22 × 6 = 132.
Multiply the first term by the same factor:
x = 12 × 6 = 72
Answer = 72
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 11:21 = 55:x, find x.
A. 110
B. 32
C. 100
D. 105
Correct Answer: D
The first term is multiplied by 5: 11 × 5 = 55.
Multiply the second term by the same factor:
x = 21 × 5 = 105
Answer = 105
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 10:20 = x:80, find x.
A. 36
B. 40
C. 44
D. 30
Correct Answer: B
The second term is multiplied by 4: 20 × 4 = 80.
Multiply the first term by the same factor:
x = 10 × 4 = 40
Answer = 40
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 9:19 = 27:x, find x.
A. 57
B. 28
C. 60
D. 54
Correct Answer: A
The first term is multiplied by 3: 9 × 3 = 27.
Multiply the second term by the same factor:
x = 19 × 3 = 57
Answer = 57
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 250:330 to its lowest terms.
A. 25:34
B. 250:330
C. 25:33
D. 26:33
Correct Answer: C
HCF of 250 and 330 = 10
Divide both terms by 10:
250:330 = (250 ÷ 10):(330 ÷ 10)
= 25:33
Answer = 25:33
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 188:248 to its lowest terms.
A. 47:62
B. 47:63
C. 188:248
D. 48:62
Correct Answer: A
HCF of 188 and 248 = 4
Divide both terms by 4:
188:248 = (188 ÷ 4):(248 ÷ 4)
= 47:62
Answer = 47:62
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 132:174 to its lowest terms.
A. 22:29
B. 132:174
C. 23:29
D. 22:30
Correct Answer: A
HCF of 132 and 174 = 6
Divide both terms by 6:
132:174 = (132 ÷ 6):(174 ÷ 6)
= 22:29
Answer = 22:29
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 82:108 to its lowest terms.
A. 41:54
B. 82:108
C. 42:54
D. 41:55
Correct Answer: A
HCF of 82 and 108 = 2
Divide both terms by 2:
82:108 = (82 ÷ 2):(108 ÷ 2)
= 41:54
Answer = 41:54