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Successor and Predecessor

How many whol...

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How many whole numbers are there between largest smallest 6-digit and 5-digit number

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Solution

Dear Student,

$L a r g e s t 6 d i g i t n u m b e r - 999999 S m a l l e s t 5 d i g i t n u m b e r - 10000 N u m b e r o f w h o l e n u m b e r s b e t w e e n t h e s e t w o = 999999 - 10000 + 1 = 990000 H e n c e t h e r e a r e 990000 w h o l e n u m b e r s b e t w e e n l a r g e s t 6 d i g i t a n d s m a l l e s 5 d i g i t n u m b e r$

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Q. What would you get when the sum of largest 4-digit number and the smallest 5-digit number is added to the difference of the smallest 6-digit number and the largest 5-digit number?

Q. Which of the following statements are true and which are false?

(i) Every whole number has its successor.
(ii) Every whole number has its predecessor.
(iii) 0 is the smallest natural number.
(iv) 1 is the smallest whole number.
(v) 0 is less than every natural number.
(vi) Between any two whole numbers there is a whole number.
(vii) Between any two non-consecutive whole numbers there is a whole number.
(viii) The smallest 5-digit number is the successor of the largest 4 digit number
(ix) Of the given two natural numbers, the one having more digits is greater.
(x) The predecessor of a two digit number cannot be a single digit number.
(xi) If a and b are natural numbers and a < b, than there is a natural number c such that a<b<c.
(xii) If a and b are whole numbers and a<b, then a+1< b+1.
(xiii) The whole number 1 has 0 as predecessor.
(xiv) The natural number 1 has no predecessor.

How many numbers are there between 1 and 1000 with their sum of digits $\leq$ 5?

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