WBCS Mains 2018 Official Paper-VI

If $1.00029=l(1+2.9\times 10^{-5}\times 10)$, the value of $l$ is

Rohan appeared for the Global Talent Search Examination wherein $4$ marks are awarded for every correct answer and $1$ mark is deducted for every wrong answer. Rohan attempted all the $60$ questions and secured $130$ marks. What would have been his score if there was no negative marking?

Each of the five persons $A,B,C,D\text{ and }E$ possesses an unequal number (less than $10$) of similar items. $A,B\text{ and }C$ possess $21$ items in all, while $C,D\text{ and }E$ possess $7$ items in all. How many items do $A$ and $B$ possess in all?

It costs Rupee $1$ to photocopy a sheet of paper. However, a $2\%$ discount is allowed on all photocopies done after the first $1000$ sheets. The discount increases to $5\%$ for all photocopies exceeding $2500$ sheets. How much will it cost to copy $5000$ sheets of paper?

A contractor employed $100$ labourers, both male and female. Each female labourer receives $\text{Rs. }144$ as daily wages while each male labourer receives $\text{Rs. }96$ as daily wages. If the contractor distributes $\text{Rs. }12,480$ daily as wages, how many more female labourers did he employ than male labourers?