Add as an added shortcut, if you have a cached service, just go to the mapservice url with ?f=pjson at the end to get the levelsFor example, here is our cached basemap in Web Merc Aux Spherehttp://www.mymanatee.org/arcgis/rest/services/base-map/aerials-2011/MapServer?f=pjsonYou can then just copy out the LODS array and remove and levels you want to hide{
 "currentVersion": 10.01,
 "serviceDescription": "",
 "mapName": "Manatee County, FL",
 "description": "This is my service",
 "copyrightText": "Information Services - GIS",
 "layers": [
  {
   "id": 0,
   "name": "2011 Aerials",
   "parentLayerId": -1,
   "defaultVisibility": true,
   "subLayerIds": null,
   "minScale": 0,
   "maxScale": 0
  },
  {
   "id": 1,
   "name": "Florida Major Roads",
   "parentLayerId": -1,
   "defaultVisibility": true,
   "subLayerIds": null,
   "minScale": 0,
   "maxScale": 50000
  },
  {
   "id": 2,
   "name": "base",
   "parentLayerId": -1,
   "defaultVisibility": true,
   "subLayerIds": null,
   "minScale": 0,
   "maxScale": 0
  }
 ],
 "tables": [],
 "spatialReference": {"wkid": 102100},
 "singleFusedMapCache": true,
 "tileInfo": {
  "rows": 256,
  "cols": 256,
  "dpi": 96,
  "format": "JPEG",
  "compressionQuality": 75,
  "origin": {
   "x": -2.0037508342787E7,
   "y": 2.0037508342787E7
  },
  "spatialReference": {"wkid": 102100},
  "lods": [
   {
    "level": 0,
    "resolution": 156543.03392800014,
    "scale": 5.91657527591555E8
   },
   {
    "level": 1,
    "resolution": 78271.51696399994,
    "scale": 2.95828763795777E8
   },
   {
    "level": 2,
    "resolution": 39135.75848200009,
    "scale": 1.47914381897889E8
   },
   {
    "level": 3,
    "resolution": 19567.87924099992,
    "scale": 7.3957190948944E7
   },
   {
    "level": 4,
    "resolution": 9783.93962049996,
    "scale": 3.6978595474472E7
   },
   {
    "level": 5,
    "resolution": 4891.96981024998,
    "scale": 1.8489297737236E7
   },
   {
    "level": 6,
    "resolution": 2445.98490512499,
    "scale": 9244648.868618
   },
   {
    "level": 7,
    "resolution": 1222.992452562495,
    "scale": 4622324.434309
   },
   {
    "level": 8,
    "resolution": 611.4962262813797,
    "scale": 2311162.217155
   },
   {
    "level": 9,
    "resolution": 305.74811314055756,
    "scale": 1155581.108577
   },
   {
    "level": 10,
    "resolution": 152.87405657041106,
    "scale": 577790.554289
   },
   {
    "level": 11,
    "resolution": 76.43702828507324,
    "scale": 288895.277144
   },
   {
    "level": 12,
    "resolution": 38.21851414253662,
    "scale": 144447.638572
   },
   {
    "level": 13,
    "resolution": 19.10925707126831,
    "scale": 72223.819286
   },
   {
    "level": 14,
    "resolution": 9.554628535634155,
    "scale": 36111.909643
   },
   {
    "level": 15,
    "resolution": 4.77731426794937,
    "scale": 18055.954822
   },
   {
    "level": 16,
    "resolution": 2.388657133974685,
    "scale": 9027.977411
   },
   {
    "level": 17,
    "resolution": 1.1943285668550503,
    "scale": 4513.988705
   },
   {
    "level": 18,
    "resolution": 0.5971642835598172,
    "scale": 2256.994353
   },
   {
    "level": 19,
    "resolution": 0.29858214164761665,
    "scale": 1128.497176
   },
   {
    "level": 20,
    "resolution": 0.14929107082380833,
    "scale": 564.248588
   }
  ]
 },
 "initialExtent": {
  "xmin": -9317797.891553422,
  "ymin": 3061811.682989043,
  "xmax": -9075390.77966656,
  "ymax": 3293519.8681217567,
  "spatialReference": {"wkid": 102100}
 },
 "fullExtent": {
  "xmin": -9799149.374012526,
  "ymin": 2763455.695588875,
  "xmax": -8856957.606708061,
  "ymax": 3690364.6251676935,
  "spatialReference": {"wkid": 102100}
 },
 "units": "esriMeters",
 "supportedImageFormatTypes": "PNG32,PNG24,PNG,JPG,DIB,TIFF,EMF,PS,PDF,GIF,SVG,SVGZ,BMP",
 "documentInfo": {
  "Title": "Tax_Lot",
  "Author": "tlabarr",
  "Comments": "",
  "Subject": "",
  "Category": "",
  "Keywords": "",
  "AntialiasingMode": "None",
  "TextAntialiasingMode": "Force"
 },
 "capabilities": "Map,Query,Data"
}