Which of the following statement(s) is/are TRUE?
I.
324
+
3.24
+
0.0324
=19.98
II.
129+
121
+
361
+
100
=13
- AOnly I
- BOnly II
- CNeither I nor II
- DBoth I and II
Solution & Step-by-step Explanation
Let's analyze both statements one by one:
Statement I:
LHS=
324
+
3.24
+
0.0324
We know that
324
=18.
3.24
=1.8
0.0324
=0.18
Adding them together:
18+1.8+0.18=19.98
Since LHS=RHS, Statement I is TRUE.
Statement II:
LHS=
129+
121
+
361
+
100
Let's evaluate the inner square roots:
121
=11
361
=19
100
=10
Substitute these back into the expression:
LHS=
129+11+19+10
=
169
=13
Since LHS=RHS, Statement II is also TRUE.
Therefore, both statements I and II are true.
Statement I:
LHS=
324
+
3.24
+
0.0324
We know that
324
=18.
3.24
=1.8
0.0324
=0.18
Adding them together:
18+1.8+0.18=19.98
Since LHS=RHS, Statement I is TRUE.
Statement II:
LHS=
129+
121
+
361
+
100
Let's evaluate the inner square roots:
121
=11
361
=19
100
=10
Substitute these back into the expression:
LHS=
129+11+19+10
=
169
=13
Since LHS=RHS, Statement II is also TRUE.
Therefore, both statements I and II are true.