| RATIO AND PROPORTION |ICDS Supervisor ,RI,ARI,AMIN,SFS|
1. If a:b = 3:5, and b:c = 4:7, what is the ratio of a to c?
a) 6:7
b) 12:35
c) 3:4
d) 7:15
Answer: a) 6:7
2. If 4x + 6y = 18, and 2x + 3y = 9, what is the ratio of x to y?
a) 2:3
b) 3:2
c) 1:2
d) 2:1
Answer: a) 2:3
3. The ratio of boys to girls in a class is 2:3. If there are 25 students in the class, how many are girls?
a) 10
b) 15
c) 20
d) 25
Answer: b) 15
4. If the ratio of the side lengths of two similar triangles is 3:5, and the area of the smaller triangle is 27 square units, what is the area of the larger triangle?
a) 45 square units
b) 75 square units
c) 81 square units
d) 125 square units
Answer: b) 75 square units
5. A recipe calls for a mixture of sugar and flour in the ratio 2:5. If the total mixture weighs 280 grams, how much flour is needed?
a) 100 grams
b) 140 grams
c) 175 grams
d) 200 grams
Answer: c) 175 grams
6. If a:b = 7:9 and b:c = 4:5, what is the ratio of a:b:c?
a) 7:9:5
b) 28:36:45
c) 4:5:7
d) 14:18:20
Answer: b) 28:36:45
7. The length, width, and height of a rectangular box are in the ratio 3:2:5. If the volume is 300 cubic units, what is the height of the box?
a) 5 units
b) 10 units
c) 15 units
d) 20 units
Answer: a) 5 units
8. If the sum of two numbers is 35 and their ratio is 3:5, what are the two numbers?
a) 12, 23
b) 15, 20
c) 18, 17
d) 21, 14
Answer: b) 15, 20
9. The income of A and B are in the ratio 4:7. If the total income is $33,000, what is B’s income?
a) $12,000
b) $21,000
c) $15,000
d) $18,000
Answer: b) $21,000
10. If the cost of 5 pens is $25, what is the cost of 8 pens?
a) $32
b) $40
c) $45
d) $50
Answer: c) $45
Certainly! Here are the next 10 moderately challenging multiple-choice questions on ratios and proportions along with their answers:
11. The ratio of the ages of John and Mary is 5:3. If the sum of their ages is 64, how old is John?
a) 30
b) 35
c) 40
d) 45
Answer: a) 30
12. If the ratio of the angles in a triangle is 2:3:4, what is the measure of the smallest angle?
a) 20 degrees
b) 30 degrees
c) 40 degrees
d) 50 degrees
Answer: b) 30 degrees
13. The ratio of the lengths of two rectangles is 3:4, and the ratio of their widths is 5:2. What is the ratio of their areas?
a) 3:4
b) 5:8
c) 15:8
d) 20:7
Answer: c) 15:8
14. If the ratio of the number of boys to girls in a class is 2:5 and the total number of students is 105, how many boys are there?
a) 21
b) 30
c) 35
d) 42
Answer: d) 42
15. The length of a rectangle is twice its width. If the perimeter is 30 meters, what is the area of the rectangle?
a) 25 square meters
b) 30 square meters
c) 35 square meters
d) 40 square meters
Answer: a) 25 square meters
16. The present ages of A, B, and C are in the ratio 3:4:5. If the sum of their ages is 72, what will be the sum of their ages 3 years from now?
a) 81
b) 84
c) 87
d) 90
Answer: b) 84
17. The ratio of the incomes of two persons is 5:8. If the second person’s income is $480 more than the first person’s income, what is the income of the first person?
a) $320
b) $400
c) $560
d) $640
Answer: b) $400
18. The ratio of the ages of a father and his son is 9:2. If the father is 45 years older than the son, what are their ages?
a) Father: 54 years, Son: 12 years
b) Father: 63 years, Son: 14 years
c) Father: 72 years, Son: 16 years
d) Father: 81 years, Son: 18 years
Answer: c) Father: 72 years, Son: 16 years
19. If the ratio of the prices of two similar products is 3:4 and the first product costs $24, what is the cost of the second product?
a) $18
b) $32
c) $36
d) $48
Answer: c) $36
20. The ratio of the speeds of two trains is 5:7. If the first train covers 300 km in 4 hours, how long will it take for the second train to cover the same distance?
a) 3 hours
b) 3.5 hours
c) 4 hours
d) 4.5 hours
Answer: d) 4.5 hours