Home » Aptitude » Simplification » Question
  1. The simplified value of :
    1. 20
      101
    2. 100
      101
    3. 2
    4. 90
      101
    5. None of these
Correct Option: D

Let, a = 1 +
1
10 +
1
10

= 1 +
1
100 + 1
10

= 1 +
1
100 + 1
10

= 1 +
10
101

=
101 + 10
=
111
101101

Again,
b = 1 −
1
10 +
1
10

= 1 −
1
100 + 1
10

= 1 −
10
101

=
101 − 10
=
91
101101

∴  Expression
= (a2 − b2) ÷ ab
= {(a + b) (a – b)} ÷ ab
=
111
+
91
111
91
÷
111
×
91
101101101101101101

=
202
×
20
×
101 × 101
101101111 × 91



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