Race Quiz
1️⃣ If the ratio of men to women in a room is 3:5, and there are 24 men, how many women are there?
Step-by-Step Explanation
If 3 parts represent 24 men, then 1 part is 24/3 = 8. Since women are 5 parts, there are 5 * 8 = 40 women.
Answer: 40 women ✅
2️⃣ A recipe calls for flour and sugar in the ratio 7:2. If you use 350 grams of flour, how much sugar do you need?
Step-by-Step Explanation
If 7 parts represent 350 grams, then 1 part is 350/7 = 50 grams. Since sugar is 2 parts, you need 2 * 50 = 100 grams of sugar.
Answer: 100 grams ✅
3️⃣ The ratio of apples to oranges in a basket is 4:3. If there are a total of 49 fruits, how many apples are there?
Step-by-Step Explanation
The total parts are 4 + 3 = 7. If 7 parts represent 49 fruits, then 1 part is 49/7 = 7. Since apples are 4 parts, there are 4 * 7 = 28 apples.
Answer: 28 apples ✅
4️⃣ Two numbers are in the ratio 5:8. If their sum is 169, what is the larger number?
Step-by-Step Explanation
The total parts are 5 + 8 = 13. If 13 parts represent 169, then 1 part is 169/13 = 13. The larger number is 8 parts, so it is 8 * 13 = 104.
Answer: 104 ✅
5️⃣ A map has a scale of 1:25000. If two cities are 4 cm apart on the map, what is the actual distance between them in kilometers?
Step-by-Step Explanation
The actual distance is 4 * 25000 = 100000 cm. Converting to kilometers, 100000 cm = 1000 m = 1 km.
Answer: 1 km ✅
6️⃣ If A:B = 2:3 and B:C = 4:5, what is A:C?
Step-by-Step Explanation
To find A:C, make B common. A:B = 8:12 and B:C = 12:15. Thus A:C = 8:15.
Answer: 8:15 ✅
7️⃣ Divide 720 in the ratio 5:4:3. What is the largest share?
Step-by-Step Explanation
Total parts = 5 + 4 + 3 = 12. 1 part = 720/12 = 60. Largest share = 5 * 60 = 300.
Answer: 300 ✅
8️⃣ The ratio of boys to girls in a school is 6:7. If there are 350 girls, how many boys are there?
Step-by-Step Explanation
If 7 parts represent 350 girls, then 1 part is 350/7 = 50. Boys are 6 parts, so there are 6 * 50 = 300 boys.
Answer: 300 boys ✅
9️⃣ If x:y = 3:4, what is (4x+5y):(5x+3y)?
Step-by-Step Explanation
Let x = 3k and y = 4k. Then (4x+5y):(5x+3y) = (12k+20k):(15k+12k) = 32k:27k = 32:27.
Answer: 32:27 ✅
🔟 A mixture contains milk and water in the ratio 5:2. If there are 35 liters of milk, how much water is there?
Step-by-Step Explanation
If 5 parts represent 35 liters, then 1 part is 35/5 = 7 liters. Water is 2 parts, so there are 2 * 7 = 14 liters.
Answer: 14 liters ✅
1️⃣1️⃣ The ratio of two numbers is 3:8 and their difference is 115. What is the smaller number?
Step-by-Step Explanation
The difference in parts is 8 - 3 = 5. If 5 parts represent 115, then 1 part is 115/5 = 23. The smaller number is 3 parts, so it is 3 * 23 = 69.
Answer: 69 ✅
1️⃣2️⃣ If a:b = 5:6 and b:c = 8:9, then a:c is:
Step-by-Step Explanation
Make 'b' common. a:b = 20:24, b:c = 24:27. Therefore a:c = 20:27.
Answer: 20:27 ✅
1️⃣3️⃣ A sum of money is divided between A and B in the ratio 2:5. If B gets Rs. 1500, how much does A get?
Step-by-Step Explanation
If 5 parts represent 1500, then 1 part is 1500/5 = 300. A gets 2 parts, so A gets 2 * 300 = 600.
Answer: Rs. 600 ✅