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A series of natural numbers \(F_1, F_2, F_3, F_4, F_5, F_6, F_7, \ldots\) obeys \[ F_{n+1} = F_n + F_{n-1}, \text{for all integers } n \geq 2. \] If \(F_6 = 37\) and \(F_7 = 60\), then what is \(F_1\)?
  • GATE CS - 2023
  • GATE CS
  • Computer Science and IT Engineering
  • Engineering Mathematics
A survey for a certain year found that 90% of pregnant women received medical care at least once before giving birth. Of these women, 60% received medical care from doctors, while 40% received medical care from other healthcare providers. Given this information, which one of the following statements can be inferred with certainty?
  • GATE CS - 2023
  • GATE CS
  • Computer Science and IT Engineering
  • Engineering Mathematics
Looking at the surface of a smooth 3-dimensional object from the outside, which one of the following options is TRUE?
  • GATE CS - 2023
  • GATE CS
  • Computer Science and IT Engineering
  • Engineering Mathematics
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