Question:
While multiplying three real numbers, Ashok took one of the numbers as 73 instead of 37. As a result, the product went up by 720. Then the minimum possible value of the sum of squares of the other two numbers is
While multiplying three real numbers, Ashok took one of the numbers as 73 instead of 37. As a result, the product went up by 720. Then the minimum possible value of the sum of squares of the other two numbers is
Updated On: Jul 21, 2025
Hide Solution
Verified By Collegedunia
Correct Answer: 40
Solution and Explanation
Let the other two numbers be y and z.
As per the condition
73yz - 37yz = 720
Or 36yz=720
Or yz=20
Minimum possible sum of the squares of the other two numbers would occur when y = z i.e.
y = z = √20
Hence the required sum = 40.
Was this answer helpful?
0
0
Top Questions on Number Systems
- A two-digit number is such that the product of its digits is 27. If 9 is added to the number, the digits interchange. What is the number?
- CUET (UG) - 2025
- General Aptitude
- Number Systems
- Consider a five-digit number \(PQRST\) that has distinct digits \(P, Q, R, S,\) and \(T\), and satisfies the following conditions: \[ P<Q, S>P>T, R<T \] If integers 1 through 5 are used to construct such a number, the value of \(P\) is:
- GATE XE - 2025
- General Aptitude
- Number Systems
- Let $p_1$ and $p_2$ denote two arbitrary prime numbers. Which one of the following statements is correct for \emph{all values of $p_1$ and $p_2$?}
- GATE MT - 2025
- General Aptitude
- Number Systems
The largest $ n \in \mathbb{N} $ such that $ 3^n $ divides 50! is:
- JEE Main - 2025
- Mathematics
- Number Systems
- Which interchange in sign and number would make the equation correct? \[ (96 + 128) + 64 = 2 \]
- Karnataka PGCET - 2025
- Quantitative Aptitude
- Number Systems
View More Questions
Questions Asked in CAT exam
- Let $x$, $y$, and $z$ be real numbers satisfying
\(4(x^2 + y^2 + z^2) = a,\)
\(4(x - y - z) = 3 + a.\)
Then $a$ equals ?- CAT - 2024
- Algebra
- Renu would take 15 days working 4 hours per day to complete a certain task whereas Seema would take 8 days working 5 hours per day to complete the same task. They decide to work together to complete this task. Seema agrees to work for double the number of hours per day as Renu, while Renu agrees to work for double the number of days as Seema. If Renu works 2 hours per day, then the number of days Seema will work, is
- CAT - 2024
- Time and Work
- Let $a_n$ be the largest integer not exceeding $\sqrt{n}$. Then the value of $a_1 + a_2 + \dots + a_{50}$ is
- CAT - 2024
- Basics of Numbers
- The sum of all real values of $k$ for which $(\frac{1}{8})^k \times (\frac{1}{32768})^{\frac{4}{3}} = \frac{1}{8} \times (\frac{1}{32768})^{\frac{k}{3}}$ is
- CAT - 2024
- Logarithms
- The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.
Humans have managed to tweak the underlying biology of various plants and animals to produce high-tech crops and microbes. But regulating these entities is complicated, as the framework of policies and procedures are outdated and not flexible enough to adapt to emerging technology. The question is whether regulation will ever be able to keep up with human innovation, to regulate living things, which are apt to be unpredictable and unique; to capture all the potential risks when new biological entities are introduced, or when they pass on variations of their genes?- CAT - 2024
- Para Summary
View More Questions