a)6241b)6889c)6561d)5929e)None of thesCorrect answer is option 'C'. Ca...
C is the correct option. Solution-
4028÷53=76
6156÷76=81
So the value needed is a square of 81 which is 6561.
View all questions of this test
a)6241b)6889c)6561d)5929e)None of thesCorrect answer is option 'C'. Ca...
4028÷53=76
6156÷76=81
So the value needed is square of 81 which is 6561.
a)6241b)6889c)6561d)5929e)None of thesCorrect answer is option 'C'. Ca...
Understanding the Equation
To solve the equation \( \frac{6156}{\sqrt{?}} \times 53 = 4028 \), we first need to isolate the square root term.
Step 1: Isolate \( \sqrt{?} \)
We can start by rearranging the equation:
\[
\frac{6156}{\sqrt{?}} = \frac{4028}{53}
\]
Calculating the right side:
\[
\frac{4028}{53} = 76
\]
Now we have:
\[
\frac{6156}{\sqrt{?}} = 76
\]
Step 2: Cross-Multiply
Cross-multiplying gives us:
\[
6156 = 76 \times \sqrt{?}
\]
Step 3: Solve for \( \sqrt{?} \)
To find \( \sqrt{?} \), we divide both sides by 76:
\[
\sqrt{?} = \frac{6156}{76}
\]
Calculating this gives:
\[
\sqrt{?} = 81
\]
Step 4: Find \( ? \)
Now, we square both sides to find \( ? \):
\[
? = 81^2 = 6561
\]
Conclusion
Thus, the correct answer is option 'C' which is 6561.
Key Takeaway
- Rearranging the equation is crucial for isolating the variable.
- Cross-multiplication helps in simplifying the equation.
- Squaring the result gives the required value for \( ? \).