>
Exams
>
Quantitative Aptitude
>
Basic Algebra
>
if x is a positive integer satisfying 64 x 121 and
Question:
If x is a positive integer satisfying
\(64 ≤ x ≤ 121\)
and
\(y = \frac{x^2 + 4\sqrt{x}(x + 16) + 256}{x + 8\sqrt{x} + 16}\)
then which of the following is satisfied by y?
IBSAT
Updated On:
Jul 24, 2024
\(39 ≤ y ≤ 68\)
\(38 < y < 94\)
\(40 < y ≤ 68\)
\( 42 ≤ y ≤ 78\)
\( 52 ≤ y ≤ 88\)
Hide Solution
Verified By Collegedunia
The Correct Option is
B
Solution and Explanation
The correct answer is option (B): \(38 < y < 94\)
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Basic Algebra
For every 2 boy students there are 3 girl students and for every 4 male teacher there are 5 female teachers. If the ratio of number of teachers to the number of students is 1:10, then which of the following is the ratio of the number of boy students to the number of male teachers?
ATMA - 2021
Quantitative Aptitude
Basic Algebra
View Solution
A certain number of cakes is distributed equally among Alex, Bruce, Clive and Daniel. Alex gives away
\((\frac{3}{4})^{th}\)
of his cakes equally among the other three people. Later Bruce gives half of his cakes to Daniel. What fraction of the total number of cakes does Daniel have in the end?
ATMA - 2021
Quantitative Aptitude
Basic Algebra
View Solution
Investment of ₹ 4,000 at
\(R\%\)
per annum compounded annually becomes 16,000 in 8 years. If 2,000 is invested at
\(R\%\)
per annum compounded annually, then in how many years will the investment become 16,000?
ATMA - 2021
Quantitative Aptitude
Basic Algebra
View Solution
A rabbit on a controlled diet is fed a total of 1 kg of carrot every day. There are 2 types of carrots that are fed to the rabbit. Type X carrot contains
\(60\%\)
protein and type Y carrot contains
\(80\%\)
protein. If the rabbit must be fed 650 grams of protein everyday, then how many grams of type X carrot must be fed to the rabbit?
ATMA - 2021
Quantitative Aptitude
Basic Algebra
View Solution
In a certain manufacturing plant, the ratio of the number of workers to managers is 7: 2. The total number of employees which consists of workers and managers only is 45,000. The manufacturing plant plans to hire new employees such that for every five workers there is a manager. How many new workers should the manufacturing plant hire?
ATMA - 2021
Quantitative Aptitude
Basic Algebra
View Solution
View More Questions
Questions Asked in IBSAT exam
Lumber : Bear :: Waddle :
Directions: In the question, the first two words are related in a particular manner. You have to choose a word from the options so that a new pair of words is formed where the relation is the same as that of the first pair of words. You are required to consider the secondary meaning of certain words while choosing an answer.
IBSAT
Analogy
View Solution
A boy has some coins with some value on them. He arranges the coins in the form of a star as shown below such that the sums of the numbers in the four circles along any line segment of the star are all equal. What is the sum of the missing numbers?
IBSAT
Logical and Analytical Reasoning Skills
View Solution
Directions: Fill in the blanks with the words that best fit the meaning of the sentence as a whole.
If a nation is unable to come to ______ on interpreting its own past, it will be unable to ______ its national interests.
IBSAT
Fill in the Blanks
View Solution
The functions f(x) and g(x) are related as f(g(x)) = xg(f(f(x))), where f (x) =
\(\frac{x}{x-1}\)
. What could be the functional form g(x)?
IBSAT
Functions
View Solution
If p, q, r and s are four positive integers such that pqrs = 1, what is the minimum value of (2 + p)(3 + q)(4 + r)(5 + s)?
IBSAT
Quadratic Equation
View Solution
View More Questions