Quantitative Ap...

Arun, Barun and Kiranmala start from the same place and travel in the same direction at speeds of 30, 40 and 60 km per hour respectively. Barun starts two hours after Arun. If Barun and Kiranmala overtake Arun at the same instant, how many hours after Arun did Kiranmala start?

 

The content development team was working at a uniform rate to develop 2500 questions in ten weeks. But after working for six weeks, the content development team was informed by the management that the remaining questions had to be developed in one week. By what percentage does the team need to increase its rate of development of questions so that it can complete developing the remaining questions in one week?

 

The digits of all the two digit multiples of 8 are reversed. How many of the resulting numbers would be divisible by 4 but not by 8?

 

If the sum of the first n terms of an Arithmetic Progression is 100 and the sum of the next n terms of the Arithmetic Progression is 300, then what is the ratio of the first term and the common difference?

 

The LCM of two numbers is 168 and their HCF is 28. If the sum of the numbers is 140, then the numbers are

 

In a triangle \(A B C, A D\) and \(B E\) are medians drawn on \(B C\) and \(A C\) that intersect each other at \(O\) at the right angle. If the length of \(A D\) and \(B E\) are \(12 {~cm}\) and \(9 {~cm}\), then find the area of triangle \(A B C\)?

 

Let ABCDEF be a regular hexagon. What is the ratio of the area of the Δ ACE to that of the hexagon ABCDEF?

 

In NutsAndBolts factory, one machine produces only nuts at the rate of 100 nuts per minute and needs to be cleaned for 5 minutes after production of every 1000 nuts. Another machine produces only bolts at the rate of 75 bolts per minute and needs to cleaned for10 minutes after production of every 1500 bolts. If both the machines start production at the same time, what is the minimum duration required for producing 9000 pairs of nuts and bolts?