Question 76

If $$m$$ and $$n$$ are natural number such that $$2^m - 2^n = 960$$, what is the value of $$m$$?

Solution

Expression : $$2^m - 2^n = 960$$ -------------(i)

=> $$2^m>960$$

=> $$m\geq10$$

If, $$m=10$$

Substituting in equation (i), we get : $$1024-2^n=960$$

=> $$2^n=64=2^6$$

=> $$n=6$$

Since, both are natural numbers, => $$m=10$$

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

MAT DILR Questions | LRDI Questions For MAT

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

MAT Verbal Ability Questions | VARC Questions For MAT

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

Free MAT Topicwise Questions

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

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.