can the asus h81m d handle i7 4790 or k and gtx 960 4gb

Solution
The Asus H81M-D is a LGA1150 socket mobo. It supports any LGA1150 socket processor. The i7 4790 and 4790k are LGA1150 socket. So both are supported. But the 'K' processor will be a waste as the mobo doesn't support overclocking. If this PC is for gaming, get an i5 4690k with a Z97 mobo. Which GTX 960 are you getting?

The Corsair CX series is Tier 4. Always a Tier 1 or 2 PSU is recommended for gaming PCs. The Tier 4 PSUs are built down to a low price. Not exactly the most stable units ever created. Very basic safety circuitry or even thin gauge wiring used. Not for gaming rigs or overclocking systems of any kind. Avoid unless your budget dictates your choice.

PSU Tier list...

ErikVinoya

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May 11, 2014
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It's highly likely that you'd need a bios update for that board, depending on when you bought it, or if the seller updated it for you. A lot of 8-series chipsets don't support Haswell Refresh right off the bat.
The board can support the GPU, and the PSU should be enough
 
The Asus H81M-D is a LGA1150 socket mobo. It supports any LGA1150 socket processor. The i7 4790 and 4790k are LGA1150 socket. So both are supported. But the 'K' processor will be a waste as the mobo doesn't support overclocking. If this PC is for gaming, get an i5 4690k with a Z97 mobo. Which GTX 960 are you getting?

The Corsair CX series is Tier 4. Always a Tier 1 or 2 PSU is recommended for gaming PCs. The Tier 4 PSUs are built down to a low price. Not exactly the most stable units ever created. Very basic safety circuitry or even thin gauge wiring used. Not for gaming rigs or overclocking systems of any kind. Avoid unless your budget dictates your choice.

PSU Tier list
http://www.tomshardware.com/forum/id-2547993/psu-tier-list.html
 
Solution

ErikVinoya

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May 11, 2014
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You guys should be really careful advising that an H81 board can take any LGA1150 processor. Some boards will not boot if given a Haswell Refresh chip, which is what OP is asking, without a BIOS update.

Source:
Personal experience
These threads:
link
link

In fact, even that PCPartPicker link is giving a warning about the same problem at the bottom:
"Some Intel H81 chipset motherboards may need a BIOS update prior to using Haswell Refresh CPUs."

I will, however, agree with the sentiment that if you're going for the 4790K, don't skimp out on the mobo. Get a Z97 (and possibly an aftermarket cooler) and reap the benefits of an unlocked cpu