From experience I have found that snipers are tricky things to shoot there harder than varmints to shoot. You need to sneak up on them and get in close before you shoot. at this close range even a .22LR with a 4x32 scope will be fine. I advise using a head shot as a wounded sniper can be very dangerous. If chased climb the nearest big tree.
i belief its a sniper rifle that is by Remington
Remington.
A Remington 700
It was a Remington M-40 Sniper Rifle.
One you make. Here's what you need: Start with a Remington 700. The Marines do--the M40 sniper rifle is based on the Remington 700. Bed the barrel and install a competition trigger. You can get heavy barrels for the 700, but if you're thinking about getting one, try firing the weapon with the barrel unbedded and see if it's about accurate enough for you--once you bed the barrel you can't change it without changing the stock too. Then install a Leupold scope, and you've got a very good-shooting weapon.
Unless you're an optician, you can't. The US military has standardized on Leupold scopes for its snipers, so if you want a sniper scope, go to a good gun store and buy the Leupold scope you like best. Then, go to a gunsmith familiar with high-accuracy rifles with your bolt-action rifle (Remington Model 700 is a very good gun and .308 is the caliber I would choose) and have all these things done to it: fit the stock to you, glass-bed the stock (this makes the stock fit against the barrel nicely and cuts down on vibration), polish the bolt, have the headspace adjusted, then mount the scope. And THEN buy about twenty boxes of match-grade ammo and learn how to shoot. The scope is just part of what makes a rifle a sniper rifle; it's a system including the rifle, optics, ammunition and shooter.
Mainly Remington 700 and Winchester Model 70 or M21's.
The most commonly used sniper rifle in the Marines is the M-40A3. It is a standard bolt action rifle with a Remington 700 action that fires the 7.62X51 NATO round.
A "sniper gun" is any gun used by a sniper. A high quality precision rifle starts around $1500 that's not to say you can't buy a $600-$700 Remington 700 or savage 110 and shoot it very well.
They definitely would have had the M1903A6, the sniper version of the Springfield 1903, and possibly the sniper version of the M1 Garand. Both fired the .30-06 round. The M21 (sniper version of the M14) did not arrive until 1969, and the Remington M40 did not see service until 1966. In 1965 the most commonly used rifles were the M1903A6, M-1D Garand and the Winchester Model 70, all chambered in 30.06. By 1967-1968 the Winchester Model 70 was being replaced by the Remington 700 in .308.
There are some accurised variants of the M16, SA80, and other 5.56 rifles out there which are designed and used as Designated Marksman rifles, but, in general, the 5.56x45 and .223 Remington cartridges really aren't the ideal choices for a sniper rifle.
a good start would be ordering a stock from McMillan, like the a5