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Three digits have been removed from each of the following numbers.if n= 25 , which of the number is equal to 3×2^n-1? a.47,_ _ 6,_ 23 b.47,_ 6-,32 c.49,2,64 d.49,2,36 e. 50,1,48?
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Three digits have been removed from each of the following numbers.if n...
Can be solved using the concept of last digit - if n= 25 so 3*2^24  we take 2^24 where last digit is 4 and when 4 is multiplied by 3 the last digit will be 2  , therefore we can wliminate all options but b so answer is b bcoz the last digit is 2

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Three digits have been removed from each of the following numbers.if n...
Identifying the Numbers
To determine which number is equal to 3×2^n-1 when n = 25, we first need to identify the numbers after three digits have been removed. Let's break down the given options:
a. 47,_ _ 6,_ 23
b. 47,_ 6-,32
c. 49,2,64
d. 49,2,36
e. 50,1,48

Calculating 3×2^n-1
Given n = 25, we can calculate 3×2^25-1 as follows:
3×2^25-1 = 3×2^24 = 3×16,777,216 = 50,331,648

Matching with the Numbers
Now, we can match the result with the numbers provided:
a. 47,_ _ 6,_ 23 → Does not match
b. 47,_ 6-,32 → Does not match
c. 49,2,64 → Does not match
d. 49,2,36 → Does not match
e. 50,1,48 → Matches with 50,1,48
Therefore, the correct number that is equal to 3×2^25-1 is 50,1,48.
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Directions: Read the given passage carefully and answer the question as follow.Among the speculative questions which arise in connection with the study of arithmetic from a historical standpoint, the origin of number is one that has provoked much lively discussion, and has led to a great amount of learned research among the primitive and savage languages of the human race. A few simple considerations will, however, show that such research must necessarily leave this question entirely unsettled, and will indicate clearly that it is, from the very nature of things, a question to which no definite and final answer can be given. Among the barbarous tribes whose languages have been studied, even in a most cursory manner, none have ever been discovered which did not show some familiarity with the number concept. The knowledge thus indicated has often proved to be most limited; not extending beyond the numbers 1 and 2, or 1, 2, and 3. At first thought it seems quite inconceivable that any human being should be destitute of the power of counting beyond 2. But such is the case; and in a few instances languages have been found to be absolutely destitute of pure numeral words.These facts must of necessity deter the mathematician from seeking to push his investigation too far back toward the very origin of number. Philosophers have endeavoured to establish certain propositions concerning this subject, but, as might have been expected, have failed to reach any common ground of agreement. Whewell has maintained that “such propositions as that two and three make five are necessary truths, containing in them an element of certainty beyond that which mere experience can give.” Mill, on the other hand, argues that any such statement merely expresses a truth derived from early and constant experience; and in this view he is heartily supported by Tylor.But why this question should provoke controversy, it is difficult for the mathematician to understand. Either view would seem to be correct, according to the standpoint from which the question is approached. We know of no language in which the suggestion of number does not appear, and we must admit that the words which give expression to the number sense would be among the early words to be formed in any language. They express ideas which are, at first, wholly concrete, which are of the greatest possible simplicity, and which seem in many ways to be clearly understood, even by the higher orders of the brute creation. The origin of number would in itself, then, appear to lie beyond the proper limits of inquiry; and the primitive conception of number to be fundamental with human thought.Q.What does the line, in the third para, ‘primitive conception of number to be fundamental with human thought’ mean?

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Three digits have been removed from each of the following numbers.if n= 25 , which of the number is equal to 3×2^n-1? a.47,_ _ 6,_ 23 b.47,_ 6-,32 c.49,2,64 d.49,2,36 e. 50,1,48?
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Three digits have been removed from each of the following numbers.if n= 25 , which of the number is equal to 3×2^n-1? a.47,_ _ 6,_ 23 b.47,_ 6-,32 c.49,2,64 d.49,2,36 e. 50,1,48? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Three digits have been removed from each of the following numbers.if n= 25 , which of the number is equal to 3×2^n-1? a.47,_ _ 6,_ 23 b.47,_ 6-,32 c.49,2,64 d.49,2,36 e. 50,1,48? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three digits have been removed from each of the following numbers.if n= 25 , which of the number is equal to 3×2^n-1? a.47,_ _ 6,_ 23 b.47,_ 6-,32 c.49,2,64 d.49,2,36 e. 50,1,48?.
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