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Byju's Answer
Standard XII
Mathematics
Proof by mathematical induction
Replace the q...
Question
Replace the question mark with appropriate value.
A
690
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B
689
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C
780
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D
789
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Solution
The correct option is
B
689
We need to derive the logic from given figures.
Refer to the image:
Each figure stands for its no. of sides.
Triangle =
3
; Square =
4
and Pentagon =
5
.
Also observe that
Two figures placed next to each other stands for 1st number + 2nd number
And a figure inside another figure stands for inner number to the power outer number.
This explains:
1st Relation as
4
+
3
=
7
2nd Relation as
3
3
=
27
3rd Relation as
3
4
=
81
so
4th Relation is
4
3
+
5
4
=
64
+
625
=
689
So option B.
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