Gate Exam undefined

The maximum value of q until which the approximation sinq »q holds to within 10% error is
(A) 10° (B) 18° (C) 50° (D) 90°

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Gate Other Question
A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the
first floor. The bulb can be turned ON and also can be turned OFF by any one of the switches
irrespective of the state of the other switch. The logic of switching of the bulb resembles
(A) an AND gate (B) an OR gate (C) an XOR gate (D) a NAND gate The divergence of the vector field A = xaˆx + yaˆy + zaˆz
r
is
(A) 0 (B) 1/3 (C) 1 (D) 3