1
GATE CSE 2021 Set 2
+1
-0.33
If $${\left( {x - {1 \over 2}} \right)^2} - {\left( {x - {3 \over 2}} \right)^2} = x + 2$$, then the value of x is :
A
2
B
8
C
4
D
6
2
GATE CSE 2021 Set 2
+1
-0.33
If $$\theta$$ is the angle, in degrees, between the longest diagonal of the cube and any one of the edges of the cube, then cos $$\theta$$ = _______
A
$${1 \over {\sqrt 3 }}$$
B
$${1 \over 2}$$
C
$${1 \over {\sqrt 2 }}$$
D
$${{\sqrt 3 } \over 2}$$
3
GATE CSE 2021 Set 1
+1
-0.33
The ratio of boys to girls in a class is 7 to 3. Among the options below, an acceptable value for the total number of students in the class is :
A
37
B
50
C
21
D
73
4
GATE CSE 2020
+1
-0.33
There are multiple routes to reach from node 1 to node 2, as shown in the network. The cost of travel on an edge between two nodes is given in rupees. Nodes ‘a’, ‘b’, ‘c’, ‘d’, ‘e’, and ‘f’ are toll booths. The toll price at toll booths marked ‘a’ and ‘e’ is Rs.200, and is Rs.100 for the other toll booths. Which is the cheapest route from node 1 to node 2?
A
1-f-e-2
B
1-f-b-2
C
1-b-2
D
1-a-c-2
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