Some exchanges don't ask for KYC for depositing bitcoin or other cryptocurrencies.but they require KYC when they feel u are about withdrawing your funds from the exchange.I had a very tough experience with hitbtc.Not going back there anytime soon
And also a lot of exchange does not require KYC but without verifying KYC you can withdraw/deposit a small amount of money for example you may see bittrex or binance. They give higher limit for verifying KYC.
yeah hitbtc is fishy, all that minimums to withdraw and so on.. also moved from there