Question

For a particular day of the year, it happens that the sum of the date and square root of the month gives the square of the month. What is the date?

• A. ${14}^{th}$ February
• B. ${16}^{th}$ April
• C. ${16}^{th}$ February
• D. ${14}^{th}$ April

Answer 1

Answer: (D)

${14}^{th}$ April

Given$:$ $($date$)$$+\sqrt{\text{No.of the month}}=\left(\text{square of month}\right)$

$\Rightarrow 14+\sqrt{4}={\left(4\right)}^2\Rightarrow 16={\left(4\right)}^2\Rightarrow 16=16$

Hence the date will be ${14}^{th}$ April$.$