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Tardigrade
Question
Mathematics
50 text th root of a number x is 12 and 50 text th root of another number y is 18 . Then the remainder obtained on dividing (x+y) by 25 is
Q.
5
0
th
root of a number
x
is
12
and
5
0
th
root of another number
y
is
18
. Then the remainder obtained on dividing
(
x
+
y
)
by
25
is_____
1651
129
JEE Main
JEE Main 2023
Binomial Theorem
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Answer:
23
Solution:
x
+
y
=
1
2
50
+
1
8
50
=
(
150
−
6
)
25
+
(
325
−
1
)
25
=
25
K
−
(
6
25
+
1
)
=
25
K
−
(
(
5
+
1
)
25
+
1
)
=
25
K
1
−
2
Remainder
=
23