Why An AND gate is the logical equivalent of two switches in series: current only gets through when both are closed. So the output goes high (logic 1) only in the single case where both inputs are high; any low input forces the output low. Out of the four possible input combinations for a two-input AND gate, only one produces a high output.
Watch out The choice saying the output is low only when both inputs are high describes a NAND gate, the inverted AND, and the one saying the output is low when either or both inputs are high describes a NOR.
AND = 'All iNputs up, Done.' Only one of four input combinations gives a high output.