1. A and B divide a profit in the ratio 7 : 9. If B gets ₹6,300, what is A’s share?
a) ₹4,500 b) ₹4,900 c) ₹4,700 d) ₹5,100
2. ₹8,400 is divided among A, B, and C in ratio 2 : 3 : 4. How much does B get?
a) ₹2,400 b) ₹2,800 c) ₹3,200 d) ₹3,600
3. A car travels 420 km using 28 litres of fuel. How much fuel is needed for 750 km?
a) 45 L b) 50 L c) 58 L d) 60 L
4. The ratio of two numbers is 4 : 7. If their sum is 132, find the larger number.
a) 48 b) 52 c) 84 d) 92
5. The income of A, B, and C are in the ratio 5 : 7 : 9, and their savings are in ratio 3 : 4 : 5. If A saves ₹9,000, what is B’s saving?
a) ₹10,000 b) ₹11,500 c) ₹12,000 d) ₹15,000
6. A bucket contains a mixture of paint and water in the ratio 3 : 2. If 10 liters of mixture is removed and replaced with water, the new ratio becomes 4 : 3. How much mixture was originally in the bucket?
a) 210 L b) 180 L c) 150 L d) 90 L
7. A and B invest in a business in the ratio 2 : 5. If A invests ₹12,000, how much did B invest?
a) ₹24,000 b) ₹28,000 c) ₹30,000 d) ₹32,000
8. A map has a scale 1 : 2,000,000. If the distance between two cities on the map is 3.5 cm, what is the actual distance?
a) 35 km b) 70 km c) 75 km d) 80 km
9. The ratio of two angles of a triangle is 3 : 5. If the third angle is 40°, find the larger of the two angles.
a) 60° b) 70° c) 75° d) 80°
10. Two pipes fill a tank in the ratio 3 : 5. If both fill together in 40 minutes, how long does the faster pipe take to fill alone?
a) 50 minutes b) 60 minutes c) 64 minutes d) 66 minutes
11. The ages of A, B, and C are in the ratio 6 : 7 : 8. After 5 years, the ratio becomes 7 : 8 : 9. What is A’s age now?
a) 30 years b) 35 years c) 40 years d) 24 years
12. The ratio of speed of two trains is 5 : 7. If the slower train covers 300 km in 5 hours, how long does the faster train take to cover 840 km?
a) 6 hours b) 7 hours c) 8 hours d) 9 hours
13. A container has 45 liters of milk and water in the ratio 5 : 4. How much water must be added to make the ratio 5 : 6?
a) 5 L b) 7.5 L c) 10 L d) 12.5 L
14. The ratio of selling price to cost price of an article is 9 : 8. If gain is ₹150, find selling price.
a) ₹900 b) ₹1,200 c) ₹1,350 d) ₹1,450
15. Three friends share chocolates in the ratio 8 : 7 : 5. If the third friend gets 25 chocolates, how many do the first two get together?
a) 80 b) 100 c) 120 d) 140
16. A bag contains red and blue balls in the ratio 11 : 4. If there are 60 red balls, what is the total number of balls?
a) 75 b) 80 c) 85 d) 90
17. Two numbers are in the ratio 9 : 11. If their difference is 20, what is the larger number?
a) 80 b) 90 c) 110 d) 120
18. In an exam, the ratio of correct answers to incorrect answers is 7 : 3. If a student attempted 150 questions, how many did he answer correctly?
a) 70 b) 90 c) 105 d) 120
19. A and B walk around a circular field. A takes 12 min and B takes 18 min to complete one round. If they start together, after how many minutes will they meet again?
a) 30 min b) 32 min c) 36 min d) 40 min
20. The monthly incomes of A and B are in the ratio 4 : 3, and their monthly expenses are in the ratio 3 : 2. If both save ₹6,000 each, what is A’s income?
a) ₹12,000 b) ₹15,000 c) ₹18,000 d) ₹24,000
21. The length of a rectangle is 6 cm more than its breadth. If the perimeter is 64 cm, find the length and breadth.
22. A mother is 4 times as old as her daughter. After 5 years, the mother will be 3 times as old as her daughter. Find their present ages.
23.A boy spends ₹x on food. If he spends ₹45 more, his total spending will be ₹120. What is x?
24. The total cost of 5 pens and 3 rulers is ₹145. If one pen costs ₹x and one ruler costs ₹15, form an equation and find the cost of a pen.
25.The sum of two numbers is 55. One number is 7 more than the other. Find both numbers.
26.A number, when subtracted from 40, gives 18. Find the number.
27. Two consecutive numbers add up to 51. What are the numbers?