1, 4 and 5, 8-Positions as well as type of functionalities on these positions at anthraquinone-9, 10-dione are proposed to be significant for anticancer activity. Therefore, keeping this into consideration, a series of 1-substituted anthraquinone-based compounds are designed, synthesized, characterized and biologically evaluated for anticancer activity. The structure of synthesized compounds is confirmed by spectroscopic analysis, i.e. 1D (H and C) nuclear magnetic resonance (NMR), electrospray ionization-mass spectrometry (ESI-MS) studies and Fourier transform infrared (FT-IR) tools. Synthesized 1-substituted anthraquinone compounds showed cytotoxic effect against human breast cancer cell line (MCF-7), human prostate cancer cell line (PC-3) and Hela derivative human cell line (Hep 2C) (Hela derivative) cell lines. All the compounds showed mild antibacterial property in comparison to standard antibiotic streptomycin against Gram + ve and -ve bacteria. They also exhibit mild antifungal activity. calf thymus (ct)-DNA binding studies of synthesized series using UV-visible absorption spectra measurement and fluorescence tools indicate partial intercalative mode of binding. Electronic properties of synthesized analogues and mitoxantrone are compared using highest occupied molecular orbital-lowest occupied molecular orbital (HOMO-LUMO) calculation. Low energy gap between HOMO and LUMO of 1-substituted anthraquinone compounds indicates the highly charged structure of the molecules in comparison to mitoxantrone, and the same is proposed to be responsible for comparable cytotoxic activities of the synthesized 1-substituted anthraquinone molecules. Docking interaction of synthesized 1-substituted anthraquinone compounds and i-motif sequence indicates intercalative mode of binding of compounds with telomeric junction. Communicated by Ramaswamy H. Sarma.