CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 5:8 and their sum is 169. Find the smaller number.
A. 13
B. 104
C. 65
D. 169
Correct Answer: C
Let the numbers be 5k and 8k.
(5+8)k = 169
13k = 169
k = 169 ÷ 13 = 13
Numbers = 65 and 104
Answer = 65
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 4:7 and their sum is 132. Find the smaller number.
A. 132
B. 12
C. 84
D. 48
Correct Answer: D
Let the numbers be 4k and 7k.
(4+7)k = 132
11k = 132
k = 132 ÷ 11 = 12
Numbers = 48 and 84
Answer = 48
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 3:6 and their sum is 99. Find the larger number.
A. 99
B. 66
C. 33
D. 11
Correct Answer: B
Let the numbers be 3k and 6k.
(3+6)k = 99
9k = 99
k = 99 ÷ 9 = 11
Numbers = 33 and 66
Answer = 66
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are in the ratio 2:5 and their sum is 70. Find the larger number.
A. 70
B. 50
C. 10
D. 20
Correct Answer: B
Let the numbers be 2k and 5k.
(2+5)k = 70
7k = 70
k = 70 ÷ 7 = 10
Numbers = 20 and 50
Answer = 50
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 660 in the ratio 5:7. What is the second share?
A. Rs. 660
B. Rs. 275
C. Rs. 385
D. Rs. 55
Correct Answer: C
Total parts = 5+7 = 12
1 part = Rs. 660 ÷ 12 = Rs. 55
Second share = 7 × Rs. 55 = Rs. 385
Answer = Rs. 385
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 500 in the ratio 4:6. What is the first share?
A. Rs. 500
B. Rs. 50
C. Rs. 200
D. Rs. 300
Correct Answer: C
Total parts = 4+6 = 10
1 part = Rs. 500 ÷ 10 = Rs. 50
First share = 4 × Rs. 50 = Rs. 200
Answer = Rs. 200
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 360 in the ratio 3:5. What is the second share?
A. Rs. 45
B. Rs. 360
C. Rs. 135
D. Rs. 225
Correct Answer: D
Total parts = 3+5 = 8
1 part = Rs. 360 ÷ 8 = Rs. 45
Second share = 5 × Rs. 45 = Rs. 225
Answer = Rs. 225
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Divide Rs. 240 in the ratio 2:4. What is the first share?
A. Rs. 240
B. Rs. 80
C. Rs. 160
D. Rs. 40
Correct Answer: B
Total parts = 2+4 = 6
1 part = Rs. 240 ÷ 6 = Rs. 40
First share = 2 × Rs. 40 = Rs. 80
Answer = Rs. 80
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the fraction 7/14 as a ratio in simplest form.
A. None of these 1
B. 2:1
C. 1:2
D. 21:1
Correct Answer: C
7/14 corresponds to 7:14.
HCF(7,14) = 7
Simplified ratio = 1:2
Answer = 1:2
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the fraction 6/13 as a ratio in simplest form.
A. 19:1
B. 1:13
C. 13:6
D. 6:13
Correct Answer: D
6/13 corresponds to 6:13.
HCF(6,13) = 1
Simplified ratio = 6:13
Answer = 6:13
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the ratio 4:9 as a fraction in simplest form.
A. 4/9
B. 13/9
C. 9/4
D. 4/13
Correct Answer: A
4:9 = 4/9
HCF(4,9) = 1
Simplified fraction = 4/9
Answer = 4/9
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Express the ratio 3:8 as a fraction in simplest form.
A. 11/8
B. 8/3
C. 3/8
D. 3/11
Correct Answer: C
3:8 = 3/8
HCF(3,8) = 1
Simplified fraction = 3/8
Answer = 3/8
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 5:8 = x:48, find x.
A. 13
B. 30
C. 36
D. 24
Correct Answer: B
The second term is multiplied by 6: 8 × 6 = 48.
Multiply the first term by the same factor:
x = 5 × 6 = 30
Answer = 30
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 4:7 = 20:x, find x.
A. 40
B. 35
C. 11
D. 30
Correct Answer: B
The first term is multiplied by 5: 4 × 5 = 20.
Multiply the second term by the same factor:
x = 7 × 5 = 35
Answer = 35
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 3:6 = x:24, find x.
A. 8
B. 16
C. 9
D. 12
Correct Answer: D
The second term is multiplied by 4: 6 × 4 = 24.
Multiply the first term by the same factor:
x = 3 × 4 = 12
Answer = 12
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
If 2:5 = 6:x, find x.
A. 7
B. 15
C. 12
D. 18
Correct Answer: B
The first term is multiplied by 3: 2 × 3 = 6.
Multiply the second term by the same factor:
x = 5 × 3 = 15
Answer = 15
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 110:155 to its lowest terms.
A. 22:31
B. 23:31
C. 110:155
D. 22:32
Correct Answer: A
HCF of 110 and 155 = 5
Divide both terms by 5:
110:155 = (110 ÷ 5):(155 ÷ 5)
= 22:31
Answer = 22:31
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 76:108 to its lowest terms.
A. 19:28
B. 20:27
C. 76:108
D. 19:27
Correct Answer: D
HCF of 76 and 108 = 4
Divide both terms by 4:
76:108 = (76 ÷ 4):(108 ÷ 4)
= 19:27
Answer = 19:27
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 48:69 to its lowest terms.
A. 16:24
B. 17:23
C. 48:69
D. 16:23
Correct Answer: D
HCF of 48 and 69 = 3
Divide both terms by 3:
48:69 = (48 ÷ 3):(69 ÷ 3)
= 16:23
Answer = 16:23
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Simplify the ratio 26:38 to its lowest terms.
A. 13:20
B. 14:19
C. 13:19
D. 26:38
Correct Answer: C
HCF of 26 and 38 = 2
Divide both terms by 2:
26:38 = (26 ÷ 2):(38 ÷ 2)
= 13:19
Answer = 13:19