Question : The square of the difference between two given natural numbers is 324, while the product of these two given numbers is 144. Find the positive difference between the squares of these two given numbers.
Option 1: 630
Option 2: 540
Option 3: 450
Option 4: 360
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 540
Solution : Let $a$ and $b$ be the two numbers. So, $ab$ = 144 and $(a-b)^2 = 324$ ⇒ $ab$ = 144 and $(a-b) = 18 $ We know that $(a+b)^2 = (a-b)^2 + 4ab$ ⇒ $(a+b)^2 = 324 + 576$ ⇒ $(a+b)^2 = 900$ ⇒ $(a+b) = 30$ Now, $a^2-b^2$ = $(a-b)×(a-b)$ ⇒ $a^2-b^2 = 18 × 30$ $\therefore a^2-b^2 = 540$ Hence, the correct answer is 540.
Candidates can download this ebook to know all about SSC CGL.
Admit Card | Eligibility | Application | Selection Process | Preparation Tips | Result | Answer Key
Question : The cube of the difference between two given natural numbers is 1728, while the product of these two given numbers is 108. Find the positive difference between the cubes of these two given numbers.
Question : The cube of the difference between two given natural numbers is 1728, while the product of these two given numbers is 108. Find the sum of the cubes of these two given numbers.
Question : The difference between the cubes of two given natural numbers is 6272, while the positive difference between the two given numbers is 8. What is the product of the two given numbers?
Question : The cube of the sum of two given numbers is 1728, while the product of the two given numbers is 32. Find the positive difference between the cubes of the two given numbers.
Question : The difference between the cubes of two given natural numbers is 6272, while the positive difference between the two given numbers is 8. What is the sum of the cubes of the two given numbers?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile