General Test - ...

A car travels a distance of \(840\) km at a uniform speed. If the speed of the car is \(10\) kmph more, it takes two hours less to cover the same distance. The original speed of the car is:

Mrs. Vijaya takes a total of \(9\) hours \(50\) minutes in walking a distance and running back to same place where she started. She could walk both ways in \(12\) hours\(20\) minutes. The time taken by her to run both ways is:

The length of the bridge, which a train \(130\) m long and traveling at \(45\) km/hr can cross in \(30\) sec, is:

Find the value of \(\frac{a}{b}+\frac{b}{a}\), if a and \(b\) are the roots of the quadratic equation \(x^{2}+8 x+4=0\)?

Express \(\frac{2}{3}\) of \(\frac{1}{4}\) of Rs.\(25.20\) as a fraction of \(1 \frac{1}{2}\) of Rs. \(36\).

The average score in Mathematics of \(90\) students of sections \(A\) and \(B\) of class IX was \(63\). The number of students in \(A\) were \(10\) more than those in \(B\). The average score of students in \(A\) was \(30\%\) more than that of students in \(B\). The average score of students in \(B\) is:

The sum of two numbers is 50 and their difference is 30. Find the numbers.

In a mixture, the ratio of alcohol and water is \(6: 5\). When 22 litres mixture are replaced by water, the ratio becomes \(9: 13\). Find the quantity of alcohol after replacement.

In a box, there are \(8\) red, \(7\) blue and \(6\) green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

In \(\triangle ABC , D\) is the mid point of \(BC\) and \(E\) is the mid-point of \(AD\), then area of \(\triangle BED\) is equal to: