GATE CSE 1999


Q21.

If n is a power of 2, then the minimum number of multiplications needed to compute a^n is
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Q22.

Two girls have picked 10 roses, 15 sunflowers and 15 daffodils. What is the number of ways they can divide the flowers among themselves?
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Q23.

The minimum number of record movements required to merge five files A (with 10 records), B (with 20 records), C (with 15 records), D (with 5 records) and E (with 25 records) is:
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Q24.

The number of full and half-adders required to add 16-bit numbers is
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Q25.

The number of tokens in the FORTRAN statement DO 10 I = 1.25 is
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Q26.

Consider the schema R=(S,T, U, V) and the dependencies S \rightarrow T, T \rightarrow U, U \rightarrow V and V \rightarrow S. Let R = (R1\text{ and } R2) be a decomposition such that R1 \cap R2 \neq \phi. The decomposition is
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Q27.

The Newton-Raphson method is to be used to find the root of the equation f(x)=0 where x_o is the initial approximation and f' is the derivative of f. The method converges
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Q28.

Which of the following actions is/are typically not performed by the operating system when switching context from process A to process B?
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Q29.

Let L_1 be the set of all languages accepted by a PDA by final state and L_2 the set of all languages accepted by empty stack. Which of the following is true?
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Q30.

Consider the join of a relation R with a relation S. If R has m tuples and S has n tuples then the maximum and minimum sizes of the join respectively are
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