Question : The sum of the cubes of two given natural numbers is 9728, while the sum of the two given numbers is 32. What is the product of the two given numbers?
Option 1: 160
Option 2: 320
Option 3: 240
Option 4: 200
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: 240
Solution : Let the two numbers be $a$ and $b$, According to the question, $a + b = 32$ and, $a^{3}$ + $b^{3} = 9728$ Now, $(a+b)^{3} = a^{3}+b^{3}+3ab(a+b)$ ⇒ $32^{3} = 9728$ + $3ab(32)$ ⇒ $ab=\frac{32768 − 9728}{96}$ $\therefore$ $ab = 240$ Hence, the correct answer is 240.
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
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 sum of the cubes of two given natural numbers is 9728, while the sum of the two given numbers is 32. What is 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?
Question : The cube of the sum of two given numbers is 1728, while the product of the two given numbers is 32. Find the sum of the cubes of the 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.
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile