CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 10:18 and their sum is 644. Find the smaller number.
A. 230
B. 644
C. 414
D. 23
Correct Answer: A
Let the numbers be 10k and 18k.
(10+18)k = 644
28k = 644
k = 644 ÷ 28 = 23
Numbers = 230 and 414
Answer = 230
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 9:17 and their sum is 572. Find the smaller number.
A. 374
B. 22
C. 198
D. 572
Correct Answer: C
Let the numbers be 9k and 17k.
(9+17)k = 572
26k = 572
k = 572 ÷ 26 = 22
Numbers = 198 and 374
Answer = 198
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 8:16 and their sum is 504. Find the larger number.
A. 504
B. 168
C. 21
D. 336
Correct Answer: D
Let the numbers be 8k and 16k.
(8+16)k = 504
24k = 504
k = 504 ÷ 24 = 21
Numbers = 168 and 336
Answer = 336
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 7:15 and their sum is 440. Find the larger number.
A. 300
B. 440
C. 20
D. 140
Correct Answer: A
Let the numbers be 7k and 15k.
(7+15)k = 440
22k = 440
k = 440 ÷ 22 = 20
Numbers = 140 and 300
Answer = 300
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 2,160 in the ratio 10:17. What is the second share?
A. Rs. 1,360
B. Rs. 80
C. Rs. 800
D. Rs. 2,160
Correct Answer: A
Total parts = 10+17 = 27
1 part = Rs. 2,160 ÷ 27 = Rs. 80
Second share = 17 × Rs. 80 = Rs. 1,360
Answer = Rs. 1,360
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 1,875 in the ratio 9:16. What is the first share?
A. Rs. 675
B. Rs. 1,200
C. Rs. 75
D. Rs. 1,875
Correct Answer: A
Total parts = 9+16 = 25
1 part = Rs. 1,875 ÷ 25 = Rs. 75
First share = 9 × Rs. 75 = Rs. 675
Answer = Rs. 675
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 1,610 in the ratio 8:15. What is the second share?
A. Rs. 560
B. Rs. 70
C. Rs. 1,050
D. Rs. 1,610
Correct Answer: C
Total parts = 8+15 = 23
1 part = Rs. 1,610 ÷ 23 = Rs. 70
Second share = 15 × Rs. 70 = Rs. 1,050
Answer = Rs. 1,050
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 1,365 in the ratio 7:14. What is the first share?
A. Rs. 455
B. Rs. 910
C. Rs. 1,365
D. Rs. 65
Correct Answer: A
Total parts = 7+14 = 21
1 part = Rs. 1,365 ÷ 21 = Rs. 65
First share = 7 × Rs. 65 = Rs. 455
Answer = Rs. 455
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the fraction 12/24 as a ratio in simplest form.
A. None of these 1
B. 2:1
C. 36:1
D. 1:2
Correct Answer: D
12/24 corresponds to 12:24.
HCF(12,24) = 12
Simplified ratio = 1:2
Answer = 1:2
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the fraction 11/23 as a ratio in simplest form.
A. 23:11
B. 34:1
C. 1:23
D. 11:23
Correct Answer: D
11/23 corresponds to 11:23.
HCF(11,23) = 1
Simplified ratio = 11:23
Answer = 11:23
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the ratio 9:19 as a fraction in simplest form.
A. 19/9
B. 9/28
C. 9/19
D. 28/19
Correct Answer: C
9:19 = 9/19
HCF(9,19) = 1
Simplified fraction = 9/19
Answer = 9/19
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the ratio 8:18 as a fraction in simplest form.
A. 26/18
B. 4/9
C. 9/4
D. 8/26
Correct Answer: B
8:18 = 8/18
HCF(8,18) = 2
Simplified fraction = 4/9
Answer = 4/9
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 10:18 = x:108, find x.
A. 28
B. 66
C. 54
D. 60
Correct Answer: D
The second term is multiplied by 6: 18 × 6 = 108.
Multiply the first term by the same factor:
x = 10 × 6 = 60
Answer = 60
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 9:17 = 45:x, find x.
A. 85
B. 90
C. 80
D. 26
Correct Answer: A
The first term is multiplied by 5: 9 × 5 = 45.
Multiply the second term by the same factor:
x = 17 × 5 = 85
Answer = 85
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 8:16 = x:64, find x.
A. 36
B. 28
C. 32
D. 24
Correct Answer: C
The second term is multiplied by 4: 16 × 4 = 64.
Multiply the first term by the same factor:
x = 8 × 4 = 32
Answer = 32
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 7:15 = 21:x, find x.
A. 45
B. 42
C. 48
D. 22
Correct Answer: A
The first term is multiplied by 3: 7 × 3 = 21.
Multiply the second term by the same factor:
x = 15 × 3 = 45
Answer = 45
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 210:280 to its lowest terms.
A. 3:4
B. 210:280
C. 4:4
D. 3:5
Correct Answer: A
HCF of 210 and 280 = 70
Divide both terms by 70:
210:280 = (210 ÷ 70):(280 ÷ 70)
= 3:4
Answer = 3:4
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 156:208 to its lowest terms.
A. 4:4
B. 156:208
C. 3:4
D. 3:5
Correct Answer: C
HCF of 156 and 208 = 52
Divide both terms by 52:
156:208 = (156 ÷ 52):(208 ÷ 52)
= 3:4
Answer = 3:4
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 108:144 to its lowest terms.
A. 108:144
B. 4:4
C. 3:4
D. 3:5
Correct Answer: C
HCF of 108 and 144 = 36
Divide both terms by 36:
108:144 = (108 ÷ 36):(144 ÷ 36)
= 3:4
Answer = 3:4
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 66:88 to its lowest terms.
A. 3:4
B. 3:5
C. 66:88
D. 4:4
Correct Answer: A
HCF of 66 and 88 = 22
Divide both terms by 22:
66:88 = (66 ÷ 22):(88 ÷ 22)
= 3:4
Answer = 3:4