What is "good resolution"? With your budget, you will only get HD screen (1366x768).
15" with your budget should be enough for "online, movie, browsing".
Editing picture, well, depends on your file size and what kind of job you do.

Acer
V3-571G-53212G50, i5-3210M + Nvidia GT630M@RM1999, 2GB, 500GB

Dell
Inspiron 15, i5-3337U + AMD HD7670M@RM1749[2.25kg], 4GB, 750GB(5400rpm), 4-cell, Linux; W8SL@RM1899
Inspiron 15, i5-3337U + AMD HD7670M@RM1799[2.25kg], 4GB, 500GB(5400rpm), 6-cell, Linux; W8SL@RM1949
Inspiron 15R (Special Edition), i5-3210M + AMD HD7730M@RM2199, 4GB, 1TB(5400rpm); backlit keyboard optional, W8

Lenovo
Ideapad G580, i5-3210M + Nvidia GT630M@RM1699, 2GB, 500GB, freeDOS, 1 yr warranty
Ideapad Z580, i5-3210M + Nvidia GT640M@RM2299, 4GB, 750GB(5400rpm), W7HB, white

Toshiba
Satellite L50-A100X/XW, i5-3230M + Nvidia GT740M@RM2199[Onkyo], 4GB, 750GB, W8SL; 3 years local warranty; colors:silver/white

The Toshiba is the most powerful among the above
Prices are RSP, negotiable.

Z400, i5-3230M + Nvidia GT740M@RM2099, 4GB, 1TB, W8; 2 years warranty
K46CB-WX060H, i5-3337U + Nvidia GT740M@RM2199[2kg], 2GB, 750GB, W8, 4-cell, OD

Z400 - more powerful CPU, also draw more power, less battery running time.
K46CB - more frugal CPU.

For your requirement of better battery running time, go with the K46CB among the two.

only 1 Asus tick all your boxes.
A45VS-VX028H, i7-3630QM + Nvidia GT640M@RM2999[2.4kg], 4GB, 750GB, W8

Negotiate, and it will be within your budget.

You probably don't need i7 (but what course are you doing at Uni?)
Save the money to extend warranty to 3 year (~ RM300).

Inspiron 14R, i5-3337U + Nvidia GT730M@RM2099[2.33kg], 4GB, 750GB(5400rpm), Linux; W8SL@RM2299
Vostro 5460, i5-3230M +Nvidia GT630M@RM1899[1.54kg], 4GB, 500GB(5400rpm), Ubuntu 12.04, 3 cell; W8SL@RM2099
Vostro 5460, i5-3337U + Nvidia GT630M + (32GB mSATA SSD + 500GB(5400rpm))@RM2199[1.54kg], 4GB, W8SL, 3 cell

Make sure you negotiate

Come and ask again in 1 month time. Haswell is coming to town, and spec is expected to be refreshed soon
If she like "not too heavy", stay with 14" for her budget (unless she really need the dedicated numpad found in 15" for her study)

Anything with Intel HD3000 or above can handle 1080p video, but the lady need to connect to external display since at that budget she will not find FHD screen
For good tech support, maybe want to give Asus Malaysia a miss (or you could be tech support )

Asus
X201E, Intel B847 + Intel HD@RM999, 2GB, 500GB, FreeDOS, 1 year
X44H-VX231, B820 + Intel HD@RM1099[2.44kg], 2GB, 500GB, FreeDOS; 1 year warranty
X401A-091/092/093R, B820 + Intel HD3@RM1299[1.85kg], 2GB, 500GB, W8

Dell
Inspiron 14-3421, 1007U + Intel HD@RM999[1.99kg], Linux, 2GB, 500GB(5400rpm), 4-cell; W8SL@RM1099
Inspiron 14-3421, B997 + Intel HD@RM1199[1.99kg], Win8SL, 2GB, 500GB(5400rpm), 4-cell

Lenovo
S300, Pentium 997 + Intel HD @RM1199[1.8kg], 2GB,500GB(5400rpm), freeDOS; W7HB/W8@RM1399, no ODD, 1 yr warranty
S300, 1007U + Intel HD @RM999[1.8kg], 2GB,500GB(5400rpm), freeDOS; W8@RM1199
G480, Celeron 1000M + Intel HD@RM999, 2GB, 500GB, FreeDOS; W8@RM1199
G480, B830 + Intel HD@RM999, 2GB, 500GB (5400rpm), FreeDOS; W8@RM1199
G480, B980 + Intel HD@RM1299, 2GB, 500GB, W8
G480, Pentium 2020 + Intel HD@RM1399, 2GB, 500GB, W8
G480, i3-2348M + Intel HD3000@RM1299, 2GB, 500GB (5400rpm), FreeDOS

Prices are RSP, negotiable a bit.

If her study does not involve using 3D graphic intensive apps or heavy data crunching, she don't need very powerful CPU+GPU.
In that case, consider just getting i3 & Intel IGPU, then spend money on getting SSD (128G ~ RM300, 256G ~ RM600).

Acer
V5-473PG-54204G50, i5-4200 + Nvidia GT740M +(1366x768;touch)@RM2299, 4GB, 500GB,W8 *no OD

Asus
K46CB-WX060H, i5-3337U + Nvidia GT740M@RM2199[2kg], 2GB, 750GB, W8, 4-cell, OD
K46CM-WX059V, i3-3217U + Nvidia GT635M@RM1899[2kg], 2GB, 500GB, 4-cell battery, W7HP, OD

Dell
Inspiron 14R, i3-4010U + Intel HD4400@RM1549 [2.32kg], 4GB, 500GB(5400rpm), W8 , 4 cell
Inspiron 14R, i5-3337U + Nvidia GT730M@RM2099[2.33kg], 4GB, 750GB(5400rpm), Linux; W8SL@RM2299
Vostro 5460, i3-3120M + HD 4000@RM1,549[1.54kg], 4GB, 500GB(5400rpm), Ubuntu 12.04, 3 cell; W8SL@RM1,749
Vostro 5460, i5-3337U + Nvidia GT630M + (32GB mSATA SSD + 500GB(5400rpm))@RM2199[1.54kg], 4GB, W8SL, 3 cell

HP
Envy4-1238TX, i5-3337U + AMD HD8750M@RM2099[Beats][1.75kg], 2GB, 500GB(5400rpm), W8
Pavilion Sleekbook 14-b051TU, i3-2367M + Intel HD3000@RM1499, 2GB, 500GB(5400rpm), W8

Toshiba
Satellite S40t-AS107, i3-3227U + Intel HD4000 + (1366x768; touch)@RM1999[Onkyo], 4GB, 500GB, W8SL; 2 years local warranty
Satellite L40-AS109Xb/G/W, i5-3337U + Nvidia GT740M@RM2199[Onkyo], 4GB, 750GB, 3 years local warranty

Prices are RSP, negotiable.
Use remaining budget to increase RAM (4G stick ~ RM100), extend warranty (Dell, 3 years next biz day on site (good for student) ~ RM300).

Long lasting? Depend on luck and good maintenance on your part
15"?
Dota2 don't need that high spec lah

Acer
V3-571G-736b8G1T, i7-3630QM + Nvidia GT730M(DDR3) + (1920x1080 IPS) @RM2899[2.6kg], 8GB, 1TB, W8

Asus
S551-LB, i5-4200U + Nvidia GT740M + (1366x767; touch)@RM2699, 4GB, 750GB, W8
N56VB-S3070H, i5-3230M + Nvidia GT740M@RM2899[/b][2.7kg][B&O], 4GB, 750GB, W8

Lenovo
Z500, i5-3230M + Nvidia GT740M@RM2299[2.2kg], 4GB, 1TB, backlit, W8; 2 years warranty
Y500, i7-3630QM + Nvidia GT750M(GDDR5) + (1920x1080)@RM2999, 8GB, 1TB, W8, red backlit, swappable ODD, 120w psu, 2 yrs

MSI
GE60K, i5-3230M + Nvidia GTX660M + (1920x1080; anti-glare)@RM2899, 4GB, 750GB(7200rpm), W8, 2 years warranty
GE60-ONC, i5-3230M + Nvidia GTX675M + (1920x1080; anti-glare)@RM3299, 4GB, 750GB(7200rpm), W8

Toshiba
Satellite L50-A100X/XW, i5-3230M + Nvidia GT740M@RM2199[Onkyo], 4GB, 750GB, W8SL; 3 years local warranty

Prices are RSP, negotiable.
Can consider to use the remaining of your budget to swap HDD with SSD (256G ~ RM600).

https://forum.lowyat.net/topic/2462711/all
There has been a detail discussion on this

Max out setting:
1. What resolution are you playing?
2. What do you consider as "handle"? What fps?

Put it this way, if you are playing at FHD (1920x1080), and you want consistent 60fps, you need GTX7xxM
If you are playing at HD (1366x768), and only looking at 30fps, ok lah GT630M can get you by

This post has been edited by nexus2238: Jul 18 2013, 03:05 PM

The GT740M in the K46CB is better than GT630M or GT730M. So you will have better performance while you game on Dota2 & NFS.

Also look at build (screen, speaker, keyboard, touchpad, etc). This is quite subjective, go out and touch the real things to decide.

But for students who sometime cannot afford down time (assignment time), going with Asus require good luck on your part (Asus Malaysia warranty service is very iffy).
Dell, with next biz day on site support, is good in warranty support. 3 years should cover your time in uni.

This post has been edited by nexus2238: Jul 18 2013, 03:24 PM

If gaming performance is important to you, then go with K46CB.
RAM 4G stick is ~ RM100. Negotiate with the re-sellers, they could just throw it in for you
HDD is so cheap now. When run out of space, just get external storage lah

Btw, you are the 1st one I heard that mention G400s design is more appealing than K46CB (of course, this is totally subjective)

Do you mean "is it easy to access the laptop fan to do proper cleaning?"
For both models, not too bad lah Not a 4 screws job, but also not a 40 screws job.

This post has been edited by nexus2238: Jul 18 2013, 03:31 PM

Satellite S40t-AS102X, i5-3337U + Nvidia GT740M + (1366x768; touch)@RM2449[Onkyo], 4GB, 500GB, W8SL; 3 years local warranty
Satellite L40-AS109Xb/G/W, i5-3337U + Nvidia GT740M@RM2199[Onkyo], 4GB, 750GB, 3 years local warranty

Errr ... all laptop (current gen) has fan. Ultrabook also has fan. (btw, even MacBook Air has fan). Can't survive with passive cooling yet

ODD - Optical Disc Drive (DVD)
i5 vs i7 - if you are talking about CPU that end with U, then i5 & i7 are both duo core, i7 still better, but not by much and price/performance may not worth it.
if you are talking about CPU that end with M vs QM, the i5 is only duo core and i7 is quad core. For application that can utilise quad core, it make a big difference.

Other brands:

Asus
K46CB-WX060H, i5-3337U + Nvidia GT740M@RM2199[2kg], 2GB, 750GB, W8, 4-cell, OD

Dell
Vostro 5460, i5-3230M +Nvidia GT630M@RM1899[1.54kg], 4GB, 500GB(5400rpm), Ubuntu 12.04, 3 cell; W8SL@RM2099
Vostro 5460, i5-3337U + Nvidia GT630M + (32GB mSATA SSD + 500GB(5400rpm))@RM2199[1.54kg], 4GB, W8SL, 3 cell

HP
Envy4-1204TX, i5-3337U + AMD HD8750M + 32GB mSATA +500GB(5400rpm)@RM2399[Beats][1.75kg], 2GB, W8
Envy4-1238TX, i5-3337U + AMD HD8750M@RM2099[Beats][1.75kg], 2GB, 500GB(5400rpm), W8

Lenovo
Z400, i5-3230M + Nvidia GT740M@RM2099, 4GB, 1TB, W8; 2 years warranty

Toshiba
Satellite L40-AS109Xb/G/W, i5-3337U + Nvidia GT740M@RM2199[Onkyo], 4GB, 750GB, 3 years local warranty

Prices are RSP, negotiable.

Study what course? What softwares are you expected to use?
Above 11", but want light weight + good keyboard with RM1k, tough

13"
Lenovo
S300, Pentium 997 + Intel HD @RM1199[1.8kg], 2GB,500GB(5400rpm), freeDOS; W7HB/W8@RM1399, no ODD, 1 yr warranty
S300, 1007U + Intel HD @RM999[1.8kg], 2GB,500GB(5400rpm), freeDOS; W8@RM1199

FreeDOS mean you need to get OS yourself.

If you can forget about light weight, then also can consider:

14"
Asus
X44H-VX231, B820 + Intel HD@RM1099[2.44kg], 2GB, 500GB, FreeDOS; 1 year warranty

Dell
Inspiron 14-3421, 1007U + Intel HD@RM999[1.99kg], Linux, 2GB, 500GB(5400rpm), 4-cell; W8SL@RM1099
Inspiron 14-3421, B997 + Intel HD@RM1199[1.99kg], Win8SL, 2GB, 500GB(5400rpm), 4-cell

Lenovo
G480, Celeron 1000M + Intel HD@RM999, 2GB, 500GB, FreeDOS; W8@RM1199
G480, B830 + Intel HD@RM999, 2GB, 500GB (5400rpm), FreeDOS; W8@RM1199

Prices are RSP, negotiable slightly.

Did you even read the reply?

Dell
Vostro 5460, i5-3230M +Nvidia GT630M@RM1899[1.54kg], 4GB, 500GB(5400rpm), Ubuntu 12.04, 3 cell; W8SL@RM2099
Inspiron 15R (Special Edition), i5-3210M + AMD HD7730M@RM2199, 4GB, 1TB(5400rpm); backlit keyboard optional, W8
Inspiron 15R, i5-3210M + AMD HD7670M@RM1899[2.65kg], 4GB, 500GB(5400rpm), W8

HP
Pavilion 14-e018/019/020TX, i5-3230M + AMD HD8670M@RM1999, 2GB, 500GB, W8

Lenovo
Z400, i5-3230M + Nvidia GT740M@RM2099, 4GB, 1TB, W8; 2 years warranty
Z480, i5-3230M + Nvidia GT640M@RM1999, 4GB, 1TB(5400rpm) W8
G480, i5-3230M + Nvidia GT635M@RM1899, 4GB, 1TB (5400rpm), W8, 2 yrs warranty

Toshiba
Satellite L50-A100X/XW, i5-3230M + Nvidia GT740M@RM2199[Onkyo], 4GB, 750GB, W8SL; 3 years local warranty

Prices are RSP, negotiable.

Don't think too much about "brand". Each brand has lots of models, some are good, some are not good value for money, ... (hope you get the picture).
The Toshiba listed is good value since the price is good for its spec and come with 3 years warranty (longer than any other brands listed standard spec (other brand you have to pay more to extend to 3 years)).

For your budget, you can only get HD screen unfortunately. If you have seen 14" laptop before, most (if not all) are HD screen. For casual online, HD screen is sufficient.
For 15", if you want better screen, you need to pay close to RM3k.
For example,
Acer
V3-571G-736b8G1T, i7-3630QM + Nvidia GT730M(DDR3) + (1920x1080 IPS) @RM2899[2.6kg], 8GB, 1TB, W8
This has 1 of the nicest screen around. FHD panel (can display 1080p video), great colour and contrast.

The other model can process higher resolution, you just have to connect to external display or TV that support those higher resolution (normally through HDMI port).

How should I put this?
Supposed you took a picture using your smartphone or camera. You transfer the file to your laptop. The picture pop up on the laptop screen. You edit, make adjustment, everything look nice. Then you print. Holy ***, the print does not look like what it show on the screen (colour and contrast all off)
That is because most of the laptop screen are not calibrate properly to show the colour correctly right out of factory. (Even on expensive model like MacBook )
For casual use, some users don't really care. But if you are willing to spend a little bit of money (~RM60), you could get your laptop screen calibrated using professional tool.
For example:
https://forum.lowyat.net/index.php?act=ST&f=162&t=2666788
(I'm not related to the TS, and am not endorsing his service ).

Don't worry, those models are < RM3k. Sufficient for your usage Don't overspend for specs that you don't need.
If you still have budget, consider use the remaining of your budget to change the HDD to SSD (solid state drive), keep the HDD as external storage. SSD 128G ~ RM300, 256G ~ RM600. SSD make user feels the laptop performance become a LOT snappier (really worth the money).

You need to tell us where you are right?

The models listed are all sufficient for your usage spec wise.
So the remaining question can only be answered by you
Go out and look at the real thing. Look at the screen, type on the keyboard, use the touchpad, listen to the speakers, carry it, see if the design suit your taste .... (all rather subjective).

15" mostly not light lah All > 2.4kg