1
GATE CSE 1998
MCQ (Single Correct Answer)
+1
-0.3
Consider the following set a equations
x + 2y = 5
4x + 8y = 12
3x + 6y + 3z = 15 This set
A
has a unique solution
B
has no solutions
C
has finite number of solutions
D
has infinite number of solutions
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 1998
MCQ (Single Correct Answer)
+2
-0.6
The rank of the matrix given below is: $$$\left[ {\matrix{ 1 & 4 & 8 & 7 \cr 0 & 0 & 3 & 0 \cr 4 & 2 & 3 & 1 \cr 3 & {12} & {24} & {2} \cr } } \right]$$$
A
3
B
1
C
2
D
4
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