1
GATE CSE 2014 Set 1
Numerical
+2
-0
There are 5 bags labeled 1 to 5. All the coins in given bag have the same weight. Some bags have coins of weight 10 gm, other have coins of weight 11 gm. $${\rm I}$$ pick 1, 2, 4, 8, 16 coins respectively from bags 1 to 5. Their total weight comes out to 323 gm. Then the product of the labels of the bags having 11 gm coin is _______ .
Your input ____
2
GATE CSE 2014 Set 1
Numerical
+2
-0
A pennant is a sequence of numbers, each number being 1 or 2. An n-pennant is a sequence of numbers with sum equal to n. For example, (1,1,2) is a 4-pennant. The set of all possible 1-pennants is {(1)}, the set of all possible 2-pennants is {(2), (1,1)} and the set of all 3-pennants is {(2,1),(1,1,1), (1,2)}. Note that the pennant (1,2) is not the same as the pennant (2,1). The number of 10-pennants is _________.
Your input ____
3
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
Let $${x_n}$$ denote the number of binary strings of length $$n$$ that contain no consecutive $$0s$$.

The value of $${x_5}$$ is

A
$$5$$
B
$$7$$
C
$$8$$
D
$$13$$
4
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
Let $${x_n}$$ denote the number of binary strings of length $$n$$ that contains no consecutive $$0s$$.

Which of the following recurrences does $${x_n}$$ satisfy?

A
$${x_n} = 2{x_{n - 1}}$$
B
$${x_n} = {x_{\left[ {n/2} \right]}} + 1$$
C
$${x_n} = {x_{\left[ {n/2} \right]}} + n$$
D
$${x_n} = {x_{n - 1}} + {x_{n - 2}}$$
GATE CSE Subjects
Software Engineering
Web Technologies
EXAM MAP