In the figure, XYZ is a secant. and ZT is a tangent to the circle at T. If TZ = 12 cm and YZ = 8 cm, then find the length of XY.

A shopkeeper marked every item 25%abovethe cost price and allowed 10% discount. Shruti being a regular customer got 5% additional discount on the bill and paid ₹2394 for the item purchased. What is the cost price of the item (in ₹)? 

The item costing Rs. 840 was sold by A shopkeeper at a gain of 10% and it was again sold by the new buyer at the loss of 5%. find the selling price of the item is

Babulal can do a work in 36 days while Rajesh can do the same in 48 days. If Babulal  work for ‘x’ days while Rajesh work for ‘x+2’ days then one-third of the work is complete. Find the value of x.

Directions: The following pie chart show proportion of population of seven villages in 2009. Stud the pie chart and answer question that follows:

If the below poverty line population of the village 'X' is 12160, then the population of village 'S' is 

The difference between a number and the square root of the number is 2. The number is:

If sin²θ - 3sinθ + 2=0, the find the value of θ(0⁰≤ θ≤90⁰)

if $${{5x-7}\over 3}+2={{4x-3}\over 4}+4x$$, then the value of (8x+5) is