1
GATE CSE 2023
+1
-0.33

A series of natural numbers $$F_1,F_2,F_3,F_4,F_5,F_6,F_7,\,.....$$ obeys $$F_{n+1}=F_n+F_{n-1}$$ for all integers $$n\ge2$$.

If $$F_6=37$$, and $$F_7=60$$, then what is $$F_1$$ ?

A
4
B
5
C
8
D
9
2
GATE CSE 2022
+1
-0.33

A function y(x) is defined in the interval [0, 1] on the x-axis as

$$y(x) = \left\{ \matrix{ 2\,if\,0 \le x < {1 \over 3} \hfill \cr 3\,if\,{1 \over 3} \le x < {3 \over 4} \hfill \cr 1\,if\,{3 \over 4} \le x < 1 \hfill \cr} \right.$$

Which one of the following is the area under the curve for the interval [0, 1] on the x-axis?

A
$${5 \over 6}$$
B
$${6 \over 5}$$
C
$${{13} \over 6}$$
D
$${6 \over {13}}$$
3
GATE CSE 2022
+1
-0.33

Let r be a root of the equation x2 + 2x + 6 = 0. Then the value of the expression (r + 2) (r + 3) (r + 4) (r + 5) is

A
51
B
$$-$$ 51
C
126
D
$$-$$ 126
4
GATE CSE 2022
+1
-0.33

In a recently conducted national entrance test, boys constituted 65% of those who appeared for the test. Girls constituted the remaining candidates and they accounted for 60% of the qualified candidates.

Which one of the following is the correct logical inference based on the information provided in the above passage?

A
Equal number of boys and girls qualified
B
Equal number of boys and girls appeared for the test
C
The number of boys who appeared for the test is less than the number of girls who appeared
D
The number of boys who qualified the test is less than the number of girls who qualified
GATE CSE Subjects
Theory of Computation
Operating Systems
Algorithms
Digital Logic
Database Management System
Data Structures
Computer Networks
Software Engineering
Compiler Design
Web Technologies
General Aptitude
Discrete Mathematics
Programming Languages
Computer Organization
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