Q.1 The ratio of monthly incomes of A and B is 8 : 11 and the ratio of their monthly expenses is 5 : 7. If both save ₹4,500 per month, find B’s income.
A) ₹24,750 B) ₹27,500 C) ₹30,250 D) ₹33,000
Q.2 A bag contains ₹1, ₹2, and ₹5 coins in the ratio 5 : 3 : 2. If the total number of coins is 200, what is the total value of the coins?
A) ₹350 B) ₹420 C) ₹480 D) ₹500
3.Q The ratio of the lengths of two trains is 3 : 5 and the ratio of their speeds is 4 : 3. Find the ratio of the time taken by them to cross a pole.
A) 4 : 5 B) 9 : 20 C) 15 : 12 D) 20 : 9
4.Q The ratio of two numbers is 5 : 12. If 20% of the larger number is equal to 30% of the smaller number, find the numbers.
A) 25 and 60 B) 30 and 72 C) 35 and 84 D) 40 and 96
5.Q Two numbers are in the ratio 7 : 15. If the difference of their squares is 3,136, find the smaller number.
A) 28 B) 35 C) 42 D) 49
6.Q A sum of ₹18,000 is divided among A, B, and C such that A : B = 2 : 3 and B : C = 4 : 5. What is C’s share?
A) ₹6,000 B) ₹6,750 C) ₹7,500 D) ₹8,250
7. The ratio of two numbers is 8 : 13. If 15 is added to each number, the ratio becomes 5 : 8. Find the smaller number.
A) 40 B) 64 C) 72 D) 80
8. A sum of money is divided among A, B, and C in the ratio 5 : 7 : 9. If C gets ₹1,800 more than A, find the total sum.
A) ₹6,300 B) ₹6,750 C) ₹7,20 D) ₹7,500
9. The ratio of present ages of P and Q is 6 : 7. After 9 years, the ratio becomes 9 : 10. Find P’s present age.
A) 18 years B) 24 years C) 30 years D) 36 years
10. In a mixture, milk and water are in the ratio 9 : 5. How much water must be added to 56 liters of the mixture to make the ratio 3 : 2?
A) 6 L B) 8 L C) 10 L D) 12 L
11. The incomes of A and B are in the ratio 7 : 9 and their expenditures are in the ratio 4 : 5. If both save ₹2,800, find B’s income.
A) ₹12,600 B) ₹14,400 C) ₹16,200 D) ₹18,000
12. Two numbers are in the ratio 5 : 12. If their HCF is 10 and their sum is 170, find the larger number.
A) 96 B) 120 C) 144 D) 150
13. The ratio of efficiencies of A and B is 4 : 5. A can complete a work in 20 days. In how many days will B complete the same work?
A) 14 days B) 16 days C) 25 days D) 28 days
14. If 20 men or 25 women can complete a work in 16 days, how many days will 8 men and 10 women take together?
A) 12 days B) 16 days C) 18 days D) 20 days
15. The ratio of boys to girls in a school is 11 : 9. If 40 boys leave and 20 girls join, the ratio becomes 3 : 4. Find the original total number of students.
A) 800 B) 900 C) 1,000 D) 1,100
16. Two alloys A and B contain copper and zinc in the ratio 3 : 2 and 5 : 3 respectively. In what ratio should they be mixed so that the new alloy contains copper and zinc in the ratio 7 : 4?
A) 2 : 3 B) 3 : 2 C) 4 : 5 D) 5 : 4
17. If 18 men or 24 women can complete a work in 20 days, how many days will 9 men and 12 women take together?
A) 8 days B) 10 days C) 12 days D) 15 days
18. The ratio of boys to girls in a college is 7 : 5. If 70 boys leave and 30 girls join, the ratio becomes 3 : 4. Find the original total number of students.
A) 840 B) 960 C) 1,080 D) 1,200
19. The ratio of lengths of two trains is 6 : 7 and the ratio of their speeds is 5 : 4. Find the ratio of time taken by them to cross a pole.
A) 15 : 14 B) 24 : 35 C) 30 : 28 D) 35 : 24