Please enter the following details
Free Daily Targets & Mocks
Study Material & Formulas PDFs
1 on 1 Mentorship
Question 23
Consider the expression $$(xxx)_{b}=x^3$$, where b is the base, and x is any digit of base b. Find the value of b:
Solution
$$(xxx)_{b}=x^3$$
=> $$xb^2+xb+x = x^3$$
=> $$b^2+b+1=x^2$$
On substituting b=1,and b=2, we get $$x^2$$ as $$3$$, and $$7$$. Since $$3$$ and $$7$$ are not perfect squares, we can infer that no number satisfies the given condition. Therefore, option E is the right answer.
XAT Quant Questions | XAT Quantitative Ability
XAT Progressions and Series QuestionsXAT Probability, Combinatorics QuestionsXAT Functions, Graphs and Statistics QuestionsXAT Data Sufficiency QuestionsXAT Time, Distance and Work Questions
XAT DILR Questions | LRDI Questions For XAT
XAT Puzzles QuestionsXAT Selection With Condition QuestionsXAT DI with connected data sets QuestionsXAT Data Interpretation Basics QuestionsXAT Arrangement Questions
