CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 13:24 and their sum is 1073. Find the smaller number.
A. 1,073
B. 29
C. 696
D. 377
Correct Answer: D
Let the numbers be 13k and 24k.
(13+24)k = 1073
37k = 1073
k = 1073 ÷ 37 = 29
Numbers = 377 and 696
Answer = 377
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 12:23 and their sum is 980. Find the smaller number.
A. 980
B. 644
C. 336
D. 28
Correct Answer: C
Let the numbers be 12k and 23k.
(12+23)k = 980
35k = 980
k = 980 ÷ 35 = 28
Numbers = 336 and 644
Answer = 336
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 11:22 and their sum is 891. Find the larger number.
A. 27
B. 891
C. 594
D. 297
Correct Answer: C
Let the numbers be 11k and 22k.
(11+22)k = 891
33k = 891
k = 891 ÷ 33 = 27
Numbers = 297 and 594
Answer = 594
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 10:21 and their sum is 806. Find the larger number.
A. 260
B. 26
C. 546
D. 806
Correct Answer: C
Let the numbers be 10k and 21k.
(10+21)k = 806
31k = 806
k = 806 ÷ 31 = 26
Numbers = 260 and 546
Answer = 546
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 3,420 in the ratio 13:23. What is the second share?
A. Rs. 95
B. Rs. 2,185
C. Rs. 3,420
D. Rs. 1,235
Correct Answer: B
Total parts = 13+23 = 36
1 part = Rs. 3,420 ÷ 36 = Rs. 95
Second share = 23 × Rs. 95 = Rs. 2,185
Answer = Rs. 2,185
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 3,060 in the ratio 12:22. What is the first share?
A. Rs. 1,980
B. Rs. 1,080
C. Rs. 90
D. Rs. 3,060
Correct Answer: B
Total parts = 12+22 = 34
1 part = Rs. 3,060 ÷ 34 = Rs. 90
First share = 12 × Rs. 90 = Rs. 1,080
Answer = Rs. 1,080
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 2,720 in the ratio 11:21. What is the second share?
A. Rs. 1,785
B. Rs. 935
C. Rs. 85
D. Rs. 2,720
Correct Answer: A
Total parts = 11+21 = 32
1 part = Rs. 2,720 ÷ 32 = Rs. 85
Second share = 21 × Rs. 85 = Rs. 1,785
Answer = Rs. 1,785
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 2,400 in the ratio 10:20. What is the first share?
A. Rs. 2,400
B. Rs. 80
C. Rs. 800
D. Rs. 1,600
Correct Answer: C
Total parts = 10+20 = 30
1 part = Rs. 2,400 ÷ 30 = Rs. 80
First share = 10 × Rs. 80 = Rs. 800
Answer = Rs. 800
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the fraction 15/30 as a ratio in simplest form.
A. 2:1
B. 1:2
C. None of these 1
D. 45:1
Correct Answer: B
15/30 corresponds to 15:30.
HCF(15,30) = 15
Simplified ratio = 1:2
Answer = 1:2
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the fraction 14/29 as a ratio in simplest form.
A. 43:1
B. 29:14
C. 14:29
D. 1:29
Correct Answer: C
14/29 corresponds to 14:29.
HCF(14,29) = 1
Simplified ratio = 14:29
Answer = 14:29
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the ratio 12:25 as a fraction in simplest form.
A. 12/25
B. 12/37
C. 25/12
D. 37/25
Correct Answer: A
12:25 = 12/25
HCF(12,25) = 1
Simplified fraction = 12/25
Answer = 12/25
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the ratio 11:24 as a fraction in simplest form.
A. 11/35
B. 35/24
C. 11/24
D. 24/11
Correct Answer: C
11:24 = 11/24
HCF(11,24) = 1
Simplified fraction = 11/24
Answer = 11/24
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 13:24 = x:144, find x.
A. 78
B. 84
C. 37
D. 72
Correct Answer: A
The second term is multiplied by 6: 24 × 6 = 144.
Multiply the first term by the same factor:
x = 13 × 6 = 78
Answer = 78
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 12:23 = 60:x, find x.
A. 35
B. 110
C. 115
D. 120
Correct Answer: C
The first term is multiplied by 5: 12 × 5 = 60.
Multiply the second term by the same factor:
x = 23 × 5 = 115
Answer = 115
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 11:22 = x:88, find x.
A. 44
B. 48
C. 33
D. 40
Correct Answer: A
The second term is multiplied by 4: 22 × 4 = 88.
Multiply the first term by the same factor:
x = 11 × 4 = 44
Answer = 44
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 10:21 = 30:x, find x.
A. 60
B. 63
C. 31
D. 66
Correct Answer: B
The first term is multiplied by 3: 10 × 3 = 30.
Multiply the second term by the same factor:
x = 21 × 3 = 63
Answer = 63
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 270:355 to its lowest terms.
A. 55:71
B. 270:355
C. 54:71
D. 54:72
Correct Answer: C
HCF of 270 and 355 = 5
Divide both terms by 5:
270:355 = (270 ÷ 5):(355 ÷ 5)
= 54:71
Answer = 54:71
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 204:268 to its lowest terms.
A. 51:68
B. 51:67
C. 204:268
D. 52:67
Correct Answer: B
HCF of 204 and 268 = 4
Divide both terms by 4:
204:268 = (204 ÷ 4):(268 ÷ 4)
= 51:67
Answer = 51:67
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 144:189 to its lowest terms.
A. 16:22
B. 144:189
C. 17:21
D. 16:21
Correct Answer: D
HCF of 144 and 189 = 9
Divide both terms by 9:
144:189 = (144 ÷ 9):(189 ÷ 9)
= 16:21
Answer = 16:21
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 90:118 to its lowest terms.
A. 45:59
B. 90:118
C. 46:59
D. 45:60
Correct Answer: A
HCF of 90 and 118 = 2
Divide both terms by 2:
90:118 = (90 ÷ 2):(118 ÷ 2)
= 45:59
Answer = 45:59