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JEE Main 8 Apr 2025 Shift 2 Paper
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© examsnet.com
Question : 5
Total: 75
Let
A
=
[
2
2
+
p
2
+
p
+
q
4
6
+
2
p
8
+
3
p
+
2
q
6
12
+
3
p
20
+
6
p
+
3
q
]
.
If
det
(
adj
(
adj
(
3
A
)
)
)
=
2
m
â‹…
3
n
,
m
,
n
∈
â„•
, then
m
+
n
is equal to
[8 Apr 2025 Shift 2]
20
26
22
24
Validate
Solution:
‌
|
2
2
+
p
2
+
p
+
q
4
6
+
2
p
8
+
3
p
+
2
q
6
12
+
3
p
20
+
6
p
+
3
q
|
‌
=
|
2
2
2
+
p
+
q
4
6
8
+
3
p
+
2
q
6
12
20
+
6
p
+
3
q
|
+
|
2
p
2
+
p
+
q
4
2
p
8
+
3
p
+
2
q
6
3
p
20
+
6
p
+
3
q
|
â•°
─
─
â–¾
─
─
╯
=
0
‌
=
2
×
2
|
1
1
2
+
p
+
q
2
3
8
+
3
p
+
2
q
3
6
20
+
6
p
+
3
q
|
‌
C
3
⟶
C
3
⟶
p
C
2
‌
=
4
|
1
1
2
+
q
2
3
8
+
2
q
3
6
20
+
3
q
|
=
4
|
1
1
2
2
3
8
3
6
20
|
+
0
‌
=
4
|
1
1
1
2
3
4
3
6
10
|
‌
=
8
(
1
(
6
)
−
1
(
8
)
+
1
(
3
)
)
‌
=
8
‌
|
adj
(
adj
(
3
A
)
)
|
=
(
|
3
A
|
)
2
2
=
|
3
A
|
4
‌
=
(
3
3
|
A
|
)
4
=
3
12
â‹…
|
A
|
4
‌
=
3
12
â‹…
(
2
3
)
4
‌
=
3
12
â‹…
2
12
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