SSC Selection Post 2023 Graduation Level Question Paper (28 Jun, 2023) (Shift 3)

What is the side of a cube (in metres) in which an iron rod of maximum length $10\text{ metres}$ can be put?

Let $M$ denote the mean proportional between $16$ and $9$ and let $N$ denote the third proportional of $9$ and $15$. Find the value of $5M+3N$.

The average weight of $10$ parcels is $28.6\text{kg}$. The addition of a new parcel reduces the average weight by $0.6\text{kg}$. What is the weight (in kg) of the new parcel?

Ramu can build a wall alone in $15\text{ days}$, while Ravan can build it alone in $10\text{ days}$. Ramu worked for $5\text{ days}$. Then Ravan joined Ramu for the next $3\text{ days}$. How many more days could Ramu take to build the remaining wall?

A car travels the first $180\text{km}$ at a speed of $20\text{km/h}$. It covers the next $210\text{km}$ at a speed of $35\text{km/h}$. Find the average speed of the car (in km/h).