1
GATE CSE 1999
MCQ (Single Correct Answer)
+2
-0.6
Two girls have picked 10 roses, 15 sunflowers and 14 daffodils. What is the number of ways they can divide the flowers among themselves?
A
1638
B
2100
C
2640
D
None of the above
2
GATE CSE 1998
MCQ (Single Correct Answer)
+2
-0.6
In a room containing 28 people, there are 18 people who speak English, 15 people who speak Hindi and 22 people who speak Kannada, 9 persons speak both English and Hindi, 11 persons speak both Hindi and Kannada where as 13 persons speak both Kannada and English. How many people speak all three languages?
A
9
B
8
C
7
D
6
3
GATE CSE 1998
Subjective
+2
-0
Solve the following recurrence relation

$$\,\,\,\,\,\,\,{x_n} = 2{x_{n - 1}} - 1\,\,n > 1$$
$$\,\,\,\,\,\,\,{x_1} = 2$$

4
GATE CSE 1996
MCQ (Single Correct Answer)
+2
-0.6
The recurrence relation $$\,\,\,\,\,$$ $$T\left( 1 \right) = 2$$
$$T\left( n \right) = 3T\left( {{n \over 4}} \right) + n$$ has the solution $$T(n)$$ equal to
A
$$O(n)$$
B
$$O$$ (log n)
C
$$O\left( {{n^{3/4}}} \right)$$
D
None of the above
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