CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 6:10 and their sum is 240. Find the smaller number.
A. 90
B. 150
C. 15
D. 240
Correct Answer: A
Let the numbers be 6k and 10k.
(6+10)k = 240
16k = 240
k = 240 ÷ 16 = 15
Numbers = 90 and 150
Answer = 90
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 5:9 and their sum is 196. Find the smaller number.
A. 14
B. 126
C. 196
D. 70
Correct Answer: D
Let the numbers be 5k and 9k.
(5+9)k = 196
14k = 196
k = 196 ÷ 14 = 14
Numbers = 70 and 126
Answer = 70
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 4:8 and their sum is 156. Find the larger number.
A. 13
B. 104
C. 156
D. 52
Correct Answer: B
Let the numbers be 4k and 8k.
(4+8)k = 156
12k = 156
k = 156 ÷ 12 = 13
Numbers = 52 and 104
Answer = 104
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 3:7 and their sum is 120. Find the larger number.
A. 120
B. 36
C. 12
D. 84
Correct Answer: D
Let the numbers be 3k and 7k.
(3+7)k = 120
10k = 120
k = 120 ÷ 10 = 12
Numbers = 36 and 84
Answer = 84
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 900 in the ratio 6:9. What is the second share?
A. Rs. 360
B. Rs. 900
C. Rs. 540
D. Rs. 60
Correct Answer: C
Total parts = 6+9 = 15
1 part = Rs. 900 ÷ 15 = Rs. 60
Second share = 9 × Rs. 60 = Rs. 540
Answer = Rs. 540
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 715 in the ratio 5:8. What is the first share?
A. Rs. 440
B. Rs. 55
C. Rs. 275
D. Rs. 715
Correct Answer: C
Total parts = 5+8 = 13
1 part = Rs. 715 ÷ 13 = Rs. 55
First share = 5 × Rs. 55 = Rs. 275
Answer = Rs. 275
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 550 in the ratio 4:7. What is the second share?
A. Rs. 200
B. Rs. 550
C. Rs. 350
D. Rs. 50
Correct Answer: C
Total parts = 4+7 = 11
1 part = Rs. 550 ÷ 11 = Rs. 50
Second share = 7 × Rs. 50 = Rs. 350
Answer = Rs. 350
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 405 in the ratio 3:6. What is the first share?
A. Rs. 270
B. Rs. 45
C. Rs. 405
D. Rs. 135
Correct Answer: D
Total parts = 3+6 = 9
1 part = Rs. 405 ÷ 9 = Rs. 45
First share = 3 × Rs. 45 = Rs. 135
Answer = Rs. 135
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the fraction 8/16 as a ratio in simplest form.
A. 2:1
B. None of these 1
C. 1:2
D. 24:1
Correct Answer: C
8/16 corresponds to 8:16.
HCF(8,16) = 8
Simplified ratio = 1:2
Answer = 1:2
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the fraction 7/15 as a ratio in simplest form.
A. 7:15
B. 1:15
C. 15:7
D. 22:1
Correct Answer: A
7/15 corresponds to 7:15.
HCF(7,15) = 1
Simplified ratio = 7:15
Answer = 7:15
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the ratio 5:11 as a fraction in simplest form.
A. 11/5
B. 16/11
C. 5/11
D. 5/16
Correct Answer: C
5:11 = 5/11
HCF(5,11) = 1
Simplified fraction = 5/11
Answer = 5/11
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the ratio 4:10 as a fraction in simplest form.
A. 2/5
B. 4/14
C. 14/10
D. 5/2
Correct Answer: A
4:10 = 4/10
HCF(4,10) = 2
Simplified fraction = 2/5
Answer = 2/5
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 6:10 = x:60, find x.
A. 30
B. 36
C. 42
D. 16
Correct Answer: B
The second term is multiplied by 6: 10 × 6 = 60.
Multiply the first term by the same factor:
x = 6 × 6 = 36
Answer = 36
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 5:9 = 25:x, find x.
A. 45
B. 40
C. 14
D. 50
Correct Answer: A
The first term is multiplied by 5: 5 × 5 = 25.
Multiply the second term by the same factor:
x = 9 × 5 = 45
Answer = 45
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 4:8 = x:32, find x.
A. 20
B. None of these 1
C. 16
D. 12
Correct Answer: C
The second term is multiplied by 4: 8 × 4 = 32.
Multiply the first term by the same factor:
x = 4 × 4 = 16
Answer = 16
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 3:7 = 9:x, find x.
A. 10
B. 24
C. 21
D. 18
Correct Answer: C
The first term is multiplied by 3: 3 × 3 = 9.
Multiply the second term by the same factor:
x = 7 × 3 = 21
Answer = 21
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 130:180 to its lowest terms.
A. 13:18
B. 14:18
C. 13:19
D. 130:180
Correct Answer: A
HCF of 130 and 180 = 10
Divide both terms by 10:
130:180 = (130 ÷ 10):(180 ÷ 10)
= 13:18
Answer = 13:18
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 92:128 to its lowest terms.
A. 23:33
B. 24:32
C. 92:128
D. 23:32
Correct Answer: D
HCF of 92 and 128 = 4
Divide both terms by 4:
92:128 = (92 ÷ 4):(128 ÷ 4)
= 23:32
Answer = 23:32
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 60:84 to its lowest terms.
A. 6:7
B. 5:8
C. 60:84
D. 5:7
Correct Answer: D
HCF of 60 and 84 = 12
Divide both terms by 12:
60:84 = (60 ÷ 12):(84 ÷ 12)
= 5:7
Answer = 5:7
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 34:48 to its lowest terms.
A. 17:25
B. 17:24
C. 18:24
D. 34:48
Correct Answer: B
HCF of 34 and 48 = 2
Divide both terms by 2:
34:48 = (34 ÷ 2):(48 ÷ 2)
= 17:24
Answer = 17:24