In a triangle ΔABC, the sides DE parallel to BC and AD = 6 cm, DB = 9 cm, AE = 8 cm, find the value of AC.

Pie chart shows the percent of money spent by family on various item during 1999. Study the graph and answer these questions.

If the total amount spent was Rs. 46,000, how much money was spent on clothing and housing together?

If 50% of (x −y) = 30% of (x + y), then what percent of x is y? 

Ratio of the employees in company A to B is 6: 5 and the number of employees in C to A is 13: 10. If the ratio of the number of male to female employees in A, B and C is 7: 5, 2: 3 and 7: 6 respectively, then the number of female employees in all the companies together is approximately what percent of the total number of employees in all the companies together?

What is the smallest number of 5 digits which is exactly divisible by 12, 24, 48, 60 and 96?

A train met with an accident 100 km from station P. It completes the remaining journey at 2/3 of the previous speed and reached 42 min late at station Q. If the accident had taken place 40 km further, it would have been only 22 min late. Then, what is the original speed of the train?

Direction: Study the line graph carefully to answer the following questions.
Line graph shows the production (in thousand units) and percentage of exported mobiles, computers and laptops.

Find the total number of Mobiles, Computers and Laptops exported in the year 2011. 

The following pie chart shows the sectors representing the shares of the number of electric buses manufactured in each of 7 different colours in a given year in terms of the central angles (in degrees) with respect to the total number of buses manufactured during that year of all the 7 colours taken together.

What is the difference in the percentage shares of buses of C4 and C6? [Give your answer correct to 2 decimal places.]