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NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS
>
Chapter 1 - Real Numbers
>
Exercise
>
Q 2
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HARD
10th CBSE
IMPORTANT
Earn 100
Prove that one and only one out of
n
,
n
+
2
and
n
+
4
is divisible by
3
, where
n
is any positive integer.
Important Questions on Real Numbers
HARD
10th CBSE
IMPORTANT
NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS
>
Chapter 1 - Real Numbers
>
Exercise
>
Q 3
Prove that one of any three consecutive positive integers must be divisible by 3.
HARD
10th CBSE
IMPORTANT
NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS
>
Chapter 1 - Real Numbers
>
Exercise
>
Q 4
For any positive integer, prove that
n
3
-
n
is divisible by
6
.
HARD
10th CBSE
IMPORTANT
NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS
>
Chapter 1 - Real Numbers
>
Exercise
>
Q 5
Show that one and only one out of
n
,
n
+
4
,
n
+
8
,
n
+
8
,
n
+
12
and
n
+
16
is divisible by 5, where
n
is any positive integer.