An electrician has to repair an electric fault on a pole of height 4 m. He needs to reach a point 1.3 m below the top of the pole to un dertake the repair work the length of ladder that he should use, which when inclined at an angle of 60° to the horizontal would enable him to reach the required positions is :

A wire of length 60 m is used to enclose a field which is in the shape of a right - angled triangle. The area of the field is 150 m² then, the largest side of the field has a length of: 

If a , b , c are in AP and x , y and z are in GP , then $${x^{b-c}.{y^{c-a}.z^{a-b}=?}}$$

What will be the area of thé trapezium formed by x - axis , y - axis , and lines 3x + 12 , 6x + 8y = 60 ? 

A money - lender, lends a part of his money at 10 % per annum and the rest at 15 % per annum. His annual income is 1,900. However, if he had interchanged rate of interest on the two sums, he would have earn 200 more. The amount lent will fatch what amount at 15 % ? 

The ratio between the length and breadth of a rectangular park is 3: 2. If a man cycling along the boundary of the park at the speed of 12 Km./hr. completes one round in 8 min, then the area of the park in sq.m is – 

A train after travelling 150 Km. meets with an accident and then proceeds with 3/5 of its former speed and arrives at its destination 8 hours late. Had the accident occurred 360 Km. farther, it would have reached the destination 4 hours late. What is the total distance travelled by the train?

Two casks of 48 liter and 42 liter are filled with mixtures of milk and water, the proportions in the two casks being respectively 13 : 7 and 18 : 17. If the contents of two casks be mixed and 20 liter of water be added to the whole , what will be the proportion of milk and water in the resulting mixture ?