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GATE 2003 : Computer Science And Information Technology

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Q.1 Q.30 carry one mark each. 1. Consider the following C function. float f,(float x, int y) { float p, s; int i; for (s=1,p=1,i=1; i<y; i++) { p *= x/i; s+=p; } return s; } For large values of y, the return value of the function f best approximates (A) X y 2. (B) ex (C) ln(1+x) (D) X x III. B[1] IV. B[2][3] Assume the following C variable declaration int * A[10], B[10][10]; Of the following expressions I. A[2] II. A[2][3] which will not give compile-time errors if used as left hand sides of assignment statements in a C program? (A) I,II, and IV only (C) II and IV only 3. (B) II, III, and IV only (D) IV only Let P(E) denote the probability of the event E. Given P(A) = 1, P(B) = 1 , the 2 values of P(A|B) and P(B|A) respectively are (A) 4. 1 1 , 4 2 1 1 , 2 4 (C) 1 ,1 2 (D) 1, 1 2 Let A be a sequence of 8 distinct integers sorted in ascending order. How many distinct pairs of sequences, B and C are there such that (i) each is sorted in ascending order, (ii) B has 5 and C has 3 elements, and (iii) the result of merging B and C gives A? (A) 2 5. (B) (B) 30 (C) 56 (D) 256 n couples are invited to a party with the condition that every husband should be accompanied by his wife. However, a wife need not be accompanied by her husband. The number of different gatherings possible at the party is 2n (A) * 2n n (B) 3n (C) ( 2n ) ! 2 n 2n (D) n

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