CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 14:26 and their sum is 1240. Find the smaller number.
A. 434
B. 31
C. 806
D. 1,240
Correct Answer: A
Let the numbers be 14k and 26k.
(14+26)k = 1240
40k = 1240
k = 1240 ÷ 40 = 31
Numbers = 434 and 806
Answer = 434
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 13:25 and their sum is 1140. Find the smaller number.
A. 30
B. 390
C. 1,140
D. 750
Correct Answer: B
Let the numbers be 13k and 25k.
(13+25)k = 1140
38k = 1140
k = 1140 ÷ 38 = 30
Numbers = 390 and 750
Answer = 390
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 12:24 and their sum is 1044. Find the larger number.
A. 1,044
B. 348
C. 696
D. 29
Correct Answer: C
Let the numbers be 12k and 24k.
(12+24)k = 1044
36k = 1044
k = 1044 ÷ 36 = 29
Numbers = 348 and 696
Answer = 696
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 11:23 and their sum is 952. Find the larger number.
A. 644
B. 308
C. 952
D. 28
Correct Answer: A
Let the numbers be 11k and 23k.
(11+23)k = 952
34k = 952
k = 952 ÷ 34 = 28
Numbers = 308 and 644
Answer = 644
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 3,900 in the ratio 14:25. What is the second share?
A. Rs. 1,400
B. Rs. 3,900
C. Rs. 2,500
D. Rs. 100
Correct Answer: C
Total parts = 14+25 = 39
1 part = Rs. 3,900 ÷ 39 = Rs. 100
Second share = 25 × Rs. 100 = Rs. 2,500
Answer = Rs. 2,500
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 3,515 in the ratio 13:24. What is the first share?
A. Rs. 2,280
B. Rs. 1,235
C. Rs. 3,515
D. Rs. 95
Correct Answer: B
Total parts = 13+24 = 37
1 part = Rs. 3,515 ÷ 37 = Rs. 95
First share = 13 × Rs. 95 = Rs. 1,235
Answer = Rs. 1,235
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 3,150 in the ratio 12:23. What is the second share?
A. Rs. 3,150
B. Rs. 2,070
C. Rs. 90
D. Rs. 1,080
Correct Answer: B
Total parts = 12+23 = 35
1 part = Rs. 3,150 ÷ 35 = Rs. 90
Second share = 23 × Rs. 90 = Rs. 2,070
Answer = Rs. 2,070
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 2,805 in the ratio 11:22. What is the first share?
A. Rs. 2,805
B. Rs. 85
C. Rs. 1,870
D. Rs. 935
Correct Answer: D
Total parts = 11+22 = 33
1 part = Rs. 2,805 ÷ 33 = Rs. 85
First share = 11 × Rs. 85 = Rs. 935
Answer = Rs. 935
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the fraction 16/32 as a ratio in simplest form.
A. 48:1
B. None of these 1
C. 2:1
D. 1:2
Correct Answer: D
16/32 corresponds to 16:32.
HCF(16,32) = 16
Simplified ratio = 1:2
Answer = 1:2
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the fraction 15/31 as a ratio in simplest form.
A. 46:1
B. 31:15
C. 15:31
D. 1:31
Correct Answer: C
15/31 corresponds to 15:31.
HCF(15,31) = 1
Simplified ratio = 15:31
Answer = 15:31
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the ratio 13:27 as a fraction in simplest form.
A. 13/40
B. 13/27
C. 40/27
D. 27/13
Correct Answer: B
13:27 = 13/27
HCF(13,27) = 1
Simplified fraction = 13/27
Answer = 13/27
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the ratio 12:26 as a fraction in simplest form.
A. 13/6
B. 38/26
C. 12/38
D. 6/13
Correct Answer: D
12:26 = 12/26
HCF(12,26) = 2
Simplified fraction = 6/13
Answer = 6/13
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 14:26 = x:156, find x.
A. 78
B. 40
C. 90
D. 84
Correct Answer: D
The second term is multiplied by 6: 26 × 6 = 156.
Multiply the first term by the same factor:
x = 14 × 6 = 84
Answer = 84
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 13:25 = 65:x, find x.
A. 38
B. 125
C. 130
D. 120
Correct Answer: B
The first term is multiplied by 5: 13 × 5 = 65.
Multiply the second term by the same factor:
x = 25 × 5 = 125
Answer = 125
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 12:24 = x:96, find x.
A. 36
B. 44
C. 52
D. 48
Correct Answer: D
The second term is multiplied by 4: 24 × 4 = 96.
Multiply the first term by the same factor:
x = 12 × 4 = 48
Answer = 48
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 11:23 = 33:x, find x.
A. 72
B. 34
C. 69
D. 66
Correct Answer: C
The first term is multiplied by 3: 11 × 3 = 33.
Multiply the second term by the same factor:
x = 23 × 3 = 69
Answer = 69
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 290:380 to its lowest terms.
A. 29:39
B. 29:38
C. 290:380
D. 30:38
Correct Answer: B
HCF of 290 and 380 = 10
Divide both terms by 10:
290:380 = (290 ÷ 10):(380 ÷ 10)
= 29:38
Answer = 29:38
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 220:288 to its lowest terms.
A. 55:73
B. 55:72
C. 220:288
D. 56:72
Correct Answer: B
HCF of 220 and 288 = 4
Divide both terms by 4:
220:288 = (220 ÷ 4):(288 ÷ 4)
= 55:72
Answer = 55:72
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 156:204 to its lowest terms.
A. 156:204
B. 13:17
C. 14:17
D. 13:18
Correct Answer: B
HCF of 156 and 204 = 12
Divide both terms by 12:
156:204 = (156 ÷ 12):(204 ÷ 12)
= 13:17
Answer = 13:17
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 98:128 to its lowest terms.
A. 49:65
B. 98:128
C. 50:64
D. 49:64
Correct Answer: D
HCF of 98 and 128 = 2
Divide both terms by 2:
98:128 = (98 ÷ 2):(128 ÷ 2)
= 49:64
Answer = 49:64