Two chords AB and CD of a circle with centre O intersect at P. If ∠APC = 40°. Then the value of ∠AOC + ∠BOD is

The ratio of the number of boys and girls in the parade of students of a school is 9 : 7 respectively and the total number of students is 256. Find the number of girls?

As observed from the top of a light house, 120 √3 m above the sea level, the angle of depression of a ship sailing towards it changes from 30° to 60°. The distance travelled by the ship during the period of observation is:

The average score of 14 students was calculated as 71. But later it was found that marks of one student were recorded as 42 instead of 56 and as 74 instead of 32 of the other. Correct average?

Find the mode for the given distribution (rounded off to two decimal places)

Class                             5-10 10-15 15-20 20-25 25-30 30-35

Interval Frequency       8         7          6         9          11      10

Answer the following questions

A, B and C gets a total wage of Rs.3600 if they work together. A and B gets a total wage of Rs. 2800 if they work together and A alone gets Rs.1600. Find the efficiency ratio of A, B and C  

The ratio of the first and second class train fares between two stations is 3: 1 and that of the numbers of passengers travelling between the two stations by first and second classes is 1: 50. If on a particular day. 1,325 are collected from passengers travelling between the two stations. Then the amount collected from the second class passengers is

The average marks of 32 boys of section A of class X is 60 whereas the average marks of 40 boys of section B of class X is 33. The average marks for both the sections combined together is