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GATE 2015 : Mechanical Engineering (Set 1)

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GATE 2015 SET - 1 MECHANICAL ENGINEERING - ME Q. 1 Q. 25 carry one mark each. Q.1 4 7 8 If any two columns of a determinant P= 3 1 5 are interchanged, which one of the following 9 6 2 statements regarding the value of the determinant is CORRECT? (A) Absolute value remains unchanged but sign will change. (B) Both absolute value and sign will change. (C) Absolute value will change but sign will not change. (D) Both absolute value and sign will remain unchanged. Q.2 Among the four normal distributions with probability density functions as shown below, which one has the lowest variance? IV III II I -2 -1 0 (B) II (A) I 1 2 (C) III (D) IV 3 9 Q.3 Simpson s rule is used to integrate the function ( ) = 5 2 + 5 between x = 0 and x = 1 using the least number of equal sub-intervals. The value of the integral is ______________ Q.4 The value of lim (A) 0 Q.5 0 2 4 (B) is 1 (C) 2 Given two complex numbers (A) 0 ME 1 cos ( 2 ) (B) 30 1 =5+ 5 3 and 1 (D) undefined 4 2 = (C) 60 2 3 + 2 , the argument of 1 in degrees is 2 (D) 90 1/12

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