If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55 and 60, then the average marks of all the students is?

Directions : Study the following frequency polygon and answer the questions. Given a line graph showing the number of students passed in Higher Secondary Examination in a school over the years 2008 to 2013.

The decrease in percentage of passed students from 2011 to 2012 approximately is 

If the difference between the compound and simple interest on a certain sum of money for 3 years at 5 % per annum is Rs. 15.25, then the sum is 

A cycle seller gives 10% discount on marked retail price and still earns 26% profit. If marked retail price of the cycle is Rs. 840/- Then how much money was paid by the seller for that cycle?

A secant PAB is drawn from an external point P to the circle with centre O, intersecting it at A and B. If OP = 17 cm, PA = 12 cm and PB = 22.5 cm, then the radius of the circle is:

The largest three-digit number that gives the same remainder 2 when divided by 3, 5 and 9 is ________.

In ΔPQR, PQ=QR and O is an interior point of ΔPQR such that ∠OPR=∠ORP.

Consider the following statements:

(i) ΔPOR is an isosceles triangle.

(ii) O is the centroid of ΔPQR.

(iii) ΔPQO is congruent to ΔRQO.

Which of the above statements are correct?

The curved surface area of a cylindrical pillar is 264 m² and its volume is 924 m³. Find the ratio of its diameter to its height.