1
GATE CSE 2005
MCQ (Single Correct Answer)
+2
-0.6
Let $$G\left( x \right) = 1/\left( {1 - x} \right)2 = \sum\limits_{i = 0}^\infty {g\left( i \right)\,{x^1}} \,\,\,,$$
where $$\left| x \right| < 1$$ What is $$g(i)$$?
A
$$1$$
B
$$i + 1$$
C
$$2$$ $$i$$
D
$$2i$$
2
GATE CSE 2005
MCQ (Single Correct Answer)
+2
-0.6
What is the minimum number of ordered pairs of non-negative numbers that should be chosen to ensure that there are two pairs $$(a, b)$$ and $$(c, d)$$ in the chosen set such that $$a \equiv c$$ mod $$3$$ and $$b \equiv d$$ mode $$5$$
A
$$4$$
B
$$6$$
C
$$16$$
D
$$24$$
3
GATE CSE 2004
MCQ (Single Correct Answer)
+2
-0.6
Mala has a colouring book in which each English letter is drawn two times. She wants to paint each of these 52 prints with one of $$k$$ colours, such that the colour-pairs used to colour any two letters are different. Both prints of a letter can also be coloured with the same colour. What is the minimum value of $$k$$ that satisfies this requirement?
A
9
B
8
C
7
D
6
4
GATE CSE 2004
MCQ (Single Correct Answer)
+2
-0.6
In how many ways can we distribute 5 distinct balls, $${B_1},{B_2},......,{B_5}$$ in 5 distinct cells, $${C_1},{C_2},.....,{C_5}$$ such that Ball $${B_i}$$ is not in cell $${C_i}$$, $$\forall i = 1,2,....,5$$ and each cell contains exactly one ball?
A
$$44$$
B
$$96$$
C
$$120$$
D
$$3125$$
GATE CSE Subjects
Software Engineering
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