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(2) There is evidence that Shah Jahan did not built Taj Mahal.Some say the Taj Mahal pre-dates Shah Jahan by several centuries and was originally built as a Hindu or Vedic temple/palace complex.
Shah Jahan merely acquired it from its previous owner, the Hindu King Jai Singh.
(3) The Adam's Bridge is also an unsolved mystery. NASA said it is nothing more than a long chain of sandbanks. However some believe it was built during Ramayana's era.