The diagonals AC and BD of a cyclic quadrilateral ABCD intersect each other at the point P. Then, it is always true that 

Vivek is 30% more efficient than Neha. How much time will they, working together, take to complete a job which Vivek alone could have done in 23 days?

The ratio of the length of the parallel sides of a trapezium is 3: 2. The shortest distance between them is 15 cm. If the area of the trapezium is 450 cm.2, the semi-sum of the length of the parallel sides is

The mean of 12 observations is 15. One more observation is included and the new mean becomes 16. The 13th observation is

The students of a class donated Rs. 3, 481 towards relief fund. Each student donated an amount qual to the number of students in the class. The number of students in the class is: 

Simple interest on an amount is Rs. 24 and true discount on the same is Rs. 20. The principal amount is

A person spends 40% of his monthly income. The monthly income of the person is increased by 15% and his expenditure is decreased by 22%. What is the approximate percentage increase in his savings?

Two numbers are in the ratio 3: 4. If their LCM is 240, the E smaller of the two numbers is: