A money-lender borrows money at 4% per annum and pays the interest at the end of the year. He lends it at 6% per annum compound interest compounded half yearly and receives the interest at the end of the year. In this way; he ghins Rs. 104.50 a year. The amount of money he borrows, is:

if 2sinθ + 2sin²θ = 2, then the value of 2 cos⁴θ + 2cos²θ is:

The sum of four numbers is 64. If you add 3 to the first number, 3 is subtracted from second number, the third is multiplied by 3 and the sum is divided by 3, then all the results are equal. What is the difference between the largest and the smallest of the original numbers?

If 15 August 2001 was Wednesday, then what was the day of the week on 2 October 2001?

The marked price of an article is ₹ 500. It is sold at successive discounts of 20% and 10%. The selling price of the article (in rupees) is : 

X can complete a piece of work in thrice the time taken to complete Y and Z together. If X and Y together can complete the work in $${9{3\over 5}\ }$$days and Z alone complete in 16 days, then find the no of days taken to complete the work by X alone?

If the LCM of two numbers is 288 and their ratio is 4 : 9, then HCF of the numbers is : 

If A's income is 3/5 times of B's income and C's income is 6/5 times of B's income then the ratio of C's income to A's income is -