1. Two goods trains, each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.

2. Consider the following statements: I. A 10% increase in a number followed by a 10% decrease in the result returns the original number. II. 50% of 200 is 100. III. If a number is increased by 20%, then decreased by 20%, the final result is less than the original number. IV. 200% increase means tripling the number.

3. Match the mathematical concepts with their corresponding formulas or properties.

4. If the price of a product increases by 25%, by what percentage must a consumer reduce the consumption to maintain the same expenditure?

5. If the radius of a sphere is increased by 5%, then the volume will be increased approximately by

6. A wire is bent into the form of a square of side 28.5 cm. The wire is straightened and bent into the form of a circle then the radius of the circle so formed is

7. The radius of a sphere, if its volume is 54.44 cm? is approximately

8. If the total surface area of a cube is 384 sq. m then its volume is

9. A man walking at the rate of 18 km per hour crosses a square field diagonally in 9 seconds. The area of the field is

10. The volume of a sphere is 4851 cm?, then its diameter is

11. A water tank contains 3235 litres of water. During a day 695 litres 532 ml. of water is pumped out from the tank. How much water is left in the tank?

12. 0.2 metres is the height of water in a cylindrical container of radius `r` cm. What is the height of this quantity of water if it is poured into a cylindrical container of radius `4r` cm?

13. If the diameter of the internal and external surface of a hollow hemispherical shell are 12 cm and 8 cm respectively, then the volume of the solid part in the hemisphere shell is

14. A right circular cone is 27 cm high and the radius of its base is 2 cm. The cone is melted and recast into a sphere. The diameter of the sphere is

15. Area of trapezium is 500 sq. cm. Length of one of the parallel sides is 20 cm and the distance between the parallel sides is 10 cm then the length of other parallel side is

16. The perimeter of a triangle is 24 cm and inradius of the triangle is 3.5 cm, then the area of the triangle is

17. A floor is 6 m long and 3 m wide. A square carpet of sides 2 m is laid on the floor. Then the area of the floor that is un-carpeted is:

18. The ratio of the length and breadth of a plot is 5:4, if the breadth is 60 m less than the length, then the perimeter of the plot is

19. A fruit seller bought 47kg 500g of mangoes from one garden, 64kg 900g of mangoes from another garden and 55kg 250g of mangoes from the third garden. If he sold 30kg 750g mangoes, then how many mangoes does he have now?

20. A hemisphere has radius 10 cm. Find its volume. (Take π = 3.14)

21. If cos ⊖= and ⊖ is an acute angle, what is the value of sin ⊖?

22. Histogram shows marks of 50 students. Which interval contains mode?

23. Cylindrical can radius 3 cm, height 8 cm. Find total surface area.

24. Observer 1.6m tall at 20?3 m from tower. Angle of elevation = 30?. Find tower height.

25. Chord length 12 cm in circle radius 10 cm. Distance of chord from centre?

26. If 60% of (p - q) = 20% of (p + q), then p:q = ?

27. SI for 2 years = Rs.1000 at 10% p.a. Find CI for same time.

28. Sonali borrowed 1200 at SI for years equal to rate. Paid 432 as interest. Find rate.

29. How many perfect squares lie between 120 and 300?

30. Two alloys X and Y of gold & copper in ratio 7:2 and 7:11. Equal quantities melted to form Z. Find ratio in Z.

31. Mean weight of 120 students is 55 kg. Mean weight of boys = 60, girls = 40. Find number of boys.

32. In a hotel, 80% had vegetarian lunch, 10% non-veg, 15% both. If 96 present, how many did not eat either?

33. 6 men and 8 women can complete task in 10 days. 26 men and 48 women can do in 2 days. How long for 15 men and 20 women?

34. A can contains mixture of liquids X and Y in ratio 7:5. 9 litres drawn off, replaced with Y. New ratio 7:9. Find initial litres of X.

35. A train started from station C to D at 48 km/hr. After 45 min, another train started from D to C at 50 km/hr. Distance between stations = 232 km. At what distance from C will they meet?