CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 8:14 and their sum is 418. Find the smaller number.
A. 418
B. 152
C. 19
D. 266
Correct Answer: B
Let the numbers be 8k and 14k.
(8+14)k = 418
22k = 418
k = 418 ÷ 22 = 19
Numbers = 152 and 266
Answer = 152
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 7:13 and their sum is 360. Find the smaller number.
A. 18
B. 234
C. 126
D. 360
Correct Answer: C
Let the numbers be 7k and 13k.
(7+13)k = 360
20k = 360
k = 360 ÷ 20 = 18
Numbers = 126 and 234
Answer = 126
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 6:12 and their sum is 306. Find the larger number.
A. 17
B. 306
C. 102
D. 204
Correct Answer: D
Let the numbers be 6k and 12k.
(6+12)k = 306
18k = 306
k = 306 ÷ 18 = 17
Numbers = 102 and 204
Answer = 204
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 5:11 and their sum is 256. Find the larger number.
A. 80
B. 256
C. 16
D. 176
Correct Answer: D
Let the numbers be 5k and 11k.
(5+11)k = 256
16k = 256
k = 256 ÷ 16 = 16
Numbers = 80 and 176
Answer = 176
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 1,470 in the ratio 8:13. What is the second share?
A. Rs. 70
B. Rs. 910
C. Rs. 1,470
D. Rs. 560
Correct Answer: B
Total parts = 8+13 = 21
1 part = Rs. 1,470 ÷ 21 = Rs. 70
Second share = 13 × Rs. 70 = Rs. 910
Answer = Rs. 910
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 1,235 in the ratio 7:12. What is the first share?
A. Rs. 1,235
B. Rs. 780
C. Rs. 65
D. Rs. 455
Correct Answer: D
Total parts = 7+12 = 19
1 part = Rs. 1,235 ÷ 19 = Rs. 65
First share = 7 × Rs. 65 = Rs. 455
Answer = Rs. 455
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 1,020 in the ratio 6:11. What is the second share?
A. Rs. 60
B. Rs. 360
C. Rs. 660
D. Rs. 1,020
Correct Answer: C
Total parts = 6+11 = 17
1 part = Rs. 1,020 ÷ 17 = Rs. 60
Second share = 11 × Rs. 60 = Rs. 660
Answer = Rs. 660
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 825 in the ratio 5:10. What is the first share?
A. Rs. 55
B. Rs. 550
C. Rs. 825
D. Rs. 275
Correct Answer: D
Total parts = 5+10 = 15
1 part = Rs. 825 ÷ 15 = Rs. 55
First share = 5 × Rs. 55 = Rs. 275
Answer = Rs. 275
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the fraction 10/20 as a ratio in simplest form.
A. 1:2
B. 2:1
C. 30:1
D. None of these 1
Correct Answer: A
10/20 corresponds to 10:20.
HCF(10,20) = 10
Simplified ratio = 1:2
Answer = 1:2
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the fraction 9/19 as a ratio in simplest form.
A. 19:9
B. 28:1
C. 9:19
D. 1:19
Correct Answer: C
9/19 corresponds to 9:19.
HCF(9,19) = 1
Simplified ratio = 9:19
Answer = 9:19
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the ratio 7:15 as a fraction in simplest form.
A. 15/7
B. 7/15
C. 7/22
D. 22/15
Correct Answer: B
7:15 = 7/15
HCF(7,15) = 1
Simplified fraction = 7/15
Answer = 7/15
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the ratio 6:14 as a fraction in simplest form.
A. 20/14
B. 6/20
C. 3/7
D. 7/3
Correct Answer: C
6:14 = 6/14
HCF(6,14) = 2
Simplified fraction = 3/7
Answer = 3/7
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 8:14 = x:84, find x.
A. 22
B. 42
C. 48
D. 54
Correct Answer: C
The second term is multiplied by 6: 14 × 6 = 84.
Multiply the first term by the same factor:
x = 8 × 6 = 48
Answer = 48
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 7:13 = 35:x, find x.
A. 20
B. 65
C. 60
D. 70
Correct Answer: B
The first term is multiplied by 5: 7 × 5 = 35.
Multiply the second term by the same factor:
x = 13 × 5 = 65
Answer = 65
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 6:12 = x:48, find x.
A. 18
B. 24
C. 20
D. 28
Correct Answer: B
The second term is multiplied by 4: 12 × 4 = 48.
Multiply the first term by the same factor:
x = 6 × 4 = 24
Answer = 24
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 5:11 = 15:x, find x.
A. 36
B. 16
C. 33
D. 30
Correct Answer: C
The first term is multiplied by 3: 5 × 3 = 15.
Multiply the second term by the same factor:
x = 11 × 3 = 33
Answer = 33
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 170:230 to its lowest terms.
A. 17:23
B. 17:24
C. 170:230
D. 18:23
Correct Answer: A
HCF of 170 and 230 = 10
Divide both terms by 10:
170:230 = (170 ÷ 10):(230 ÷ 10)
= 17:23
Answer = 17:23
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 124:168 to its lowest terms.
A. 31:43
B. 124:168
C. 31:42
D. 32:42
Correct Answer: C
HCF of 124 and 168 = 4
Divide both terms by 4:
124:168 = (124 ÷ 4):(168 ÷ 4)
= 31:42
Answer = 31:42
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 84:114 to its lowest terms.
A. 84:114
B. 15:19
C. 14:19
D. 14:20
Correct Answer: C
HCF of 84 and 114 = 6
Divide both terms by 6:
84:114 = (84 ÷ 6):(114 ÷ 6)
= 14:19
Answer = 14:19
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 50:68 to its lowest terms.
A. 25:34
B. 25:35
C. 50:68
D. 26:34
Correct Answer: A
HCF of 50 and 68 = 2
Divide both terms by 2:
50:68 = (50 ÷ 2):(68 ÷ 2)
= 25:34
Answer = 25:34