The HCF of two numbers is 96 and their LCM is 1296. If one of the numbers is 864, the other is

Let ABCD be a quadrilateral. Let the diagonals AC and BD meet at O. Let the perpendicular drawn from A to CD meet CD at E. Further, AO: OC = BO: OD, AB = 30 cm. CD = 40 cm. and the area of the quadrilateral ABCD is 1050 cm². What is BE equal to?

A shopkeeper marks the price of an item keeping 20% profit. If he offers a discount of $$12{1\over 2}\%$$ on the marked price, his gain percent will be 

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 

Find the area of triangle whose medians are 8 cm, 15 cm and 17 cm respectively?

The sum of the digits of a 2 digit number is 9. When 27 is added to the number, the digits get interchanged. Find the number.

If a , b , c are in AP and x , y and z are in GP , then $${x^{b-c}.{y^{c-a}.z^{a-b}=?}}$$

if $$x=\sqrt {64}+\sqrt {121}-\sqrt {169}$$, the find the value of x²