You can do it with Array.filter
var data = [{
"id": 1,
"term_id": 5,
"type": "car"
},
{
"id": 2,
"term_id": 3,
"type": "bike"
},
{
"id": 3,
"term_id": 6,
"type": "car"
}
];
var result = data.filter(function(v, i) {
return ((v["term_id"] == 5 || v["term_id"] == 6) && v.type == "car");
})
console.log(result)