The length of the common chord of two intersecting circles is 24 cm. If the diameter of the circles are 30 cm and 26 cm, then the distance between the center (in cm) is 

A six digit number is formed by writing a three digit number two times consecutively. Find the least four digit number which can exactly divide this type of six digit number.

In a shop shirt are usually sold at 40% above the cost price. During a sale, the shopkeeper offers a discount of 10% off the usual selling price. If he man ages to sell 72 shirts for ₹ 13,608 then his cost price per shirt, ( in ₹) is 

When the square of a natural number subtracted from its cube, the result is 48. Find the number: 

What is the average of the squares of the first 19 natural numbers? 

The ratio of investment of two partners is 11: 12 and the ratio of their profits is 2: 3. If A invested the money for 8 months, find for how much time B invested his money?

The ratio of the present age of P and Q is 2: 3. The ratio of their age after 18 years will be 4: 5. What is the present age of Q?

On a certain sum of money, the difference between the compound interest for a year, payable half yearly, and the simple interest for a year is Rs. 56.If the rate of interest in both the cases is 16 %, then the sum is