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Question 79 - Algebra Practice | Prasnya
Q79
00:00
30 Nov 2025
Q79.
For any natural number k, let
a
k
=
3
k
a_k = 3^k
a
k
=
3
k
. The smallest natural number
m
m
m
for which
{
(
a
1
)
1
×
(
a
2
)
2
×
…
.
×
(
a
20
)
20
}
<
{
a
21
×
a
22
×
…
.
.
×
a
(
20
+
m
)
}
\{(a_1)^1 \times (a_2)^2 \times ….\times (a_{20})^{20}\} < \{a_{21} \times a_{22} \times ….. \times a_{(20 + m)}\}
{(
a
1
)
1
×
(
a
2
)
2
×
…
.
×
(
a
20
)
20
}
<
{
a
21
×
a
22
×
…
..
×
a
(
20
+
m
)
}
, is
A
57
B
56
C
59
D
58
Save
Check
Details
Q79
00:00
30 Nov 2025
Q79.
For any natural number k, let
a
k
=
3
k
a_k = 3^k
a
k
=
3
k
. The smallest natural number
m
m
m
for which
{
(
a
1
)
1
×
(
a
2
)
2
×
…
.
×
(
a
20
)
20
}
<
{
a
21
×
a
22
×
…
.
.
×
a
(
20
+
m
)
}
\{(a_1)^1 \times (a_2)^2 \times ….\times (a_{20})^{20}\} < \{a_{21} \times a_{22} \times ….. \times a_{(20 + m)}\}
{(
a
1
)
1
×
(
a
2
)
2
×
…
.
×
(
a
20
)
20
}
<
{
a
21
×
a
22
×
…
..
×
a
(
20
+
m
)
}
, is
A
57
B
56
C
59
D
58
Save
Check
Details
