Final answer:
The statement is true; 'shampoo' originates from the Sanskrit word 'champu', and 'pyjamas' from the Hindi word 'pajama', both words being adopted into English during British colonialism in India.
Step-by-step explanation:
The statement is True. Both words 'shampoo' and 'pyjamas' originate from India. The word 'shampoo' derives from the Sanskrit word 'champu', which means to massage or knead. The term 'pyjamas' comes from the Hindi word 'pajama', which means leg garment. These words were adopted into the English language during the British colonial era when they were exposed to the Indian culture and languages.