UP Police Constable Previous Year Paper 2024 Set 5

Indian Railways employed $200$ workers to complete a certain work in $150$ days. If only one-fourth of the work had been done in $50$ days, then to complete the whole work in time, what is the number of additional workers to be employed?

$12$ men and $18$ women can do a work in $10$ days. $9$ men and $18$ women can do the same work in $12$ days. If $2$ men and $3$ women together do the same work, in how many days will they complete the work?

Two trains travel in the same direction at $59\text{km/hr}$ and $32\text{km/hr}$ and the faster train passes a man in the slower train in $16$ seconds. Find the length of the faster train.

A $67$ meters long train crosses a tunnel of length $33$ meters in $10$ seconds. Find the time for the train to cross a man standing on a platform of length $65$ meters.

Nikhil and Reetu earn in the ratio $2:1$. They spend in the ratio $5:3$ and save in the ratio $4:1$. Find the monthly income of each, if the total monthly savings of both Nikhil and Reetu together is $\text{₹}10,000$.