If △ABC is right angled at B, AB = 12 cm and ∠CAB = 60°, determine the length of BC.

The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half yearly is: 

In 64 liter of pure alcohol, 20 liter of water is mixed and then $$ {1\over 4}{th}$$ of the mixture is taken out. When x liter of water is added again then ratio of water to that of the alcohol becomes 1:2. Find value of x?

Directions: The Pie chart given here represents the domestic expenditure of a family in per cent. Study the chart and answer the following questions if the total monthly income of the family is ₹ 33,650.

A: Expenditure on food

B: Expenditure on house-rent

C: Expenditure on entertainment

D: Expenditure on education and maintenance of children

E: Medical and miscellaneous expenditure

F: Deductions towards provident fund

The annual savings in the form of provident fund would be

24 women take 14 days to complete a piece of work which can be completed by 14 men in 12 days. 18 men started working and after 5 days, 10 men left and 8 women joined them. How many days will it take them to complete the remaining work?

Directions: Read the below data carefully and answer the following questions.
The table shows the total number of ice cream (Chocobar + Cornetto) was given by Santa Claus on the day of Xmas to 5 children. It also shows the number of Chocobar ice-creams is how much more or less percentage of the total number of Cornetto ice-creams.

Find the difference between the total number of Cornettoes all of them have and the total number of Chocobars everyone has.

A shopkeeper wants to make a profit of 20% on an article after selling it, while he gives a cash discount of 20%. Further allows 4 more articles for free after purchase of one dozen articles to his premium customer. How much per cent above the cost price he must mark his article?

Directions: A survery of film watching habits of people living in five cities P, Q, R, S and T is summarised below in a table. The coulmn I in the table gives percentage of film-watchers in each city who see only one film a week. The column II gives the total number of film-watchers who see two or more films per week.

Read the table and answer the following questions.

The total number of all film-watchers in the five cities who see only one film in a week is