1. Seats for Mathematics, Physics and Biology in a school are in the ratio 5:7:8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?

2. Aditya’s salary is 80% of Amit’s salary and 120% of Rajiv’s salary. What is Amit’s salary if Rajiv’s salary is 30,000?

3. The cost of an article including the sales tax is Rs. 616. The rate of sales tax is 10%, if the shopkeeper has made a profit of 12%, then the cost price of the article is?

4. An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes:

5. The average weight of 21 boys was recorded as 64 kg. If the weight of the teacher was added, the average increased by one kg. What was the teacher’s weight?

6. Two women, Sita and Gita working separately can mow a field in 8 and 12 hrs respectively. If they work in stretches of one hours alternatively, Sita beginning at 9 a.m., when will the mowing be finished?

7. If two pipes function together, the tank will be filled in 12 h. One pipe fils the tank in 10 h faster than the other. How many hours does the faster pipe take to fill up the tank?

8. A tap takes 36 hours extra to fill a tank due to a leakage equivalent to half of its inflow. The inlet pipe alone can fill the tank in how many hours?

9. A man travels first 50 km at 25 kmph, next 40 km at 20 kmph and then 90 km at 15 kmph. His average speed for the whole journey (in kmph) is:

10. A boy goes to the school with the speed of 3 kmph and returns with the speed of 2 kmph. If he takes 5 hours in all, then the distance (in kms) between the village and the school is:

11. In a river, the ratio of the speed of stream and speed of a boat in still water is 2: 5. Again, ratio of the speed of stream and speed of an another boat in still water is 3:4. What is the ratio of the speeds of the first boat to the second boat in still water?

12. In a mixture of milk and water of volume 30 Litre the ratio of water and milk is 3: 7. How much quantity of water will be added to the mixture to make the ratio of milk and water 1:2

13. The area of the floor of a rectangular hall of length 40 m is 960 m². Carpets of size 6 m x 4 m are available. Then, how many carpets are required to cover the hall?

14. What is the area of a triangle whose sides are 9 cm, 12 cm and 15 cm?

15. A wire is in the form of a circle of radius 42 cm. It is bent into a square. The side of the square is?

16. In how many different ways can the letters of the word ‘LEADING’ be arranged in such a way that the vowels always come together?

An URN contains 10 Green, 12 Yellow and 11 White balls. What is the probability that:

17. When 2 balls are selected, both are green

18. 3, 15, ?, 63, 99, 143

19. Ratio of the earnings of A and B is 4: 7. If the earnings A increase by 50% and those of B decrease by 25%, the new ratio of their earnings becomes 8:7. What are A’s earnings?

20 . Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?