1
GATE CSE 2022
+1
-0.33

A box contains five balls of same size and shape. Three of them are green coloured balls and two of them are orange coloured balls. Balls are drawn from the box one at a time. If a green ball is drawn, it is not replaced. If an orange ball is drawn, it is replaced with another orange ball.

First ball is drawn. What is the probability of getting an orange ball in the next draw?

A
$${1 \over 2}$$
B
$${2 \over 25}$$
C
$${19 \over 50}$$
D
$${23 \over 50}$$
2
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
3
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
$${{\sqrt 3 } \over 2}$$
4
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
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