CAT Quantitative Ability Questions | CAT Algebra questions
Comprehension
There are m blue vessels with known volumes V1, V2,....., Vm arranged in ascending order of volumes, where V1 is greater than 0.5 litres and Vm is less than 1 litre. Each of these is full of water. The water is emptied into a minimum number of white empty vessels each having volume 1 litre. If the volumes of the vessels increases with the value of lower bound 10–1 .
Explanatory Answer
Method of solving this CAT Quantitative Ability Question from Algebra question
(d) The lower bound is 0.5 and increases with 0.05.
It forms an Arithmetic progression, where 0.05 is the common difference and 0.5 is the first term.
The last term is less than 1 and hence it is 0.95.
To find the no. of terms in the series use the formulae for nth term
i.e., Tn = a + (n – 1)d.
Where ‘a’ is the first term and ‘d’ is the common difference.
Hence the value of n comes as 10.
Maximum possible value of m is 10