Instructions

Each of these questions has a problem and two statements, number I and II. Decide if the information given in the statement is sufficient for answering the problem. Mark the answer as

Question 115

A list contains 11 consecutive integers. What is the greatest integer on the list?
I. If x is the smallest integer on the list, then $$(x + 72)^{\frac{1}{3}} = 4$$.
II. If x is the smallest integer on the list, then $$\frac{1}{64} = x^{-2}$$.

Solution

Statement I : If x is the smallest integer on the list, then $$(x + 72)^{\frac{1}{3}} = 4$$

=> $$(x+72)=4^3=64$$

=> $$x=64-72=-8$$

Now, 11 consecutive integers starting from -8 : -8,-7,-6,-5,-4,-3,-2,-1,0,1,2

Thus, greatest integer is 2 and statement I alone is sufficient.

Statement II : If x is the smallest integer on the list, then $$\frac{1}{64} = x^{-2}$$

=> $$(x)^{2}=64$$

=> $$x=\pm8$$

Since, there are two values of $$x$$, we cannot find the greatest integer. statement II alone is insufficient.

=> Ans - (A)

Get AI Help

View More Questions From Quant

Create a FREE account and get:

All Quant Formulas and Shortcuts PDF
100+ previous papers with solutions PDF
Top 5000+ MBA exam Solved Questions for Free

maruti sir image

MAT Quant Questions | MAT Quantitative Ability

MAT Miscellaneous Questions MAT Percentages Questions MAT Progressions and Series Questions MAT Coordinate Geometry Questions MAT Algebra Questions MAT Time And Work Questions MAT Inequalities Questions MAT Number Systems Questions MAT Mensuration Questions MAT Time, Speed and Distance Questions MAT Arithmetic Questions MAT Number Series Questions MAT Averages Mixtures Alligations Questions MAT Time Speed Distance Questions MAT Logarithms, Surds and Indices Questions MAT Quadratic Equations Questions MAT Remainders Questions MAT Probability, Combinatorics Questions MAT Geometry Questions MAT Logarithms Questions MAT Linear Equations Questions MAT Profit And Loss Questions MAT Venn Diagrams Questions MAT Simple Interest Compound Interest Questions MAT Averages Questions MAT Functions, Graphs and Statistics Questions MAT Profit and Loss Questions MAT Data Sufficiency Questions MAT Averages, Ratio and Proportion Questions

MAT DILR Questions | LRDI Questions For MAT

MAT Arrangement Questions MAT Charts Questions MAT Data Interpretation Questions MAT Selection With Condition Questions MAT Data change over a period Questions MAT Quant Based DI Questions MAT DI Miscellaneous Questions MAT Quant Based LR Questions MAT Special Charts Questions MAT Maxima-Minima Questions MAT DI with connected data sets Questions MAT Scheduling Questions MAT Miscellaneous LR Questions MAT Truth Lie Concept Questions MAT Venn Diagrams Questions MAT Table based DI Sets Questions MAT 2D & 3D LR Questions MAT Data Interpretation Basics Questions MAT Games and Tournamnents Questions MAT Coins and Weights Questions MAT Puzzles Questions MAT Routes And Networks Questions

MAT Verbal Ability Questions | VARC Questions For MAT

MAT Grammar and Sentence Correction Questions MAT Para Summary Questions MAT Vocabulary Questions MAT Odd One Out Questions MAT Critical Reasoning Questions MAT Verbal Ability Questions MAT Reading Comprehension Questions MAT Para Jumbles Questions

Free MAT Topicwise Questions

MAT Data change over a period MAT Probability, Combinatorics MAT Ssc Reasoning MAT Table based DI Sets MAT Data Interpretation Basics MAT Averages Mixtures Alligations MAT Scheduling MAT Grammar and Sentence Correction MAT 2D & 3D LR MAT Mensuration MAT Coins and Weights MAT Functions, Graphs and Statistics MAT Time Speed Distance MAT Time, Speed and Distance MAT Para Jumbles MAT Profit And Loss MAT Selection With Condition MAT DI with connected data sets MAT Maxima-Minima MAT Time And Work MAT Logarithms, Surds and Indices MAT Para Summary MAT Data Sufficiency MAT Miscellaneous LR MAT Routes And Networks MAT Logarithms MAT Profit and Loss MAT Critical Reasoning MAT Coordinate Geometry MAT Quant Based LR MAT DI Miscellaneous MAT Venn Diagrams MAT Odd One Out MAT Venn Diagrams MAT Averages, Ratio and Proportion MAT Remainders MAT Data Interpretation MAT Vocabulary MAT Truth Lie Concept MAT Quadratic Equations MAT Puzzles MAT Special Charts MAT Reading Comprehension MAT Miscellaneous MAT Algebra MAT Progressions and Series MAT Number Series MAT Averages MAT Geometry MAT Number Systems MAT Quant Based DI MAT Charts MAT Verbal Ability MAT Arrangement MAT Inequalities MAT Percentages MAT Games and Tournamnents MAT Arithmetic MAT Linear Equations MAT Simple Interest Compound Interest

Book Free CAT Mentorship

Get personalized CAT strategy from a 99%iler

500+ students mentored

CAT mentor

Phone Number

Preferred Time

Join CAT 2026 course by 5-Time CAT 100%iler

Crack CAT 2026 & Other Exams with Cracku!

Enroll Now

cracku download image

Ask our AI anything

AI can make mistakes. Please verify important information.