Latest CAT Aptitude Question SOLUTION: A book contains 50 pages,numbered from 1-50.Out of 50 pages some pages are tared or removed.The sum of the remaining page numbers is 4949.Find the number of pages removed or tar

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(#M40009680) CAT question Keep an EYE

A book contains 50 pages,numbered from 1-50.Out of 50 pages some pages are tared or removed.The sum of the remaining page numbers is 4949.Find the number
of pages removed or tared?

Asked In CAT ArihantRkecha (12 years ago)

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chaitanya  (12 years ago)

given that the book comprises of 50 pages

means that 1-50----> the count of all the pages sum is 1+2+3+....+50
i.e.,
(50 x 51)/2= 1275

but in the question it is given that some of the pages are teared from the book and the sum of the remaining pages left in the book is 4949.

even though by summing all the pages in the book we can't get the sum as 4949.

so simply the the puzzle is wrong

hence the puzzle is solved. :P

Is this solution Helpfull? Yes (8) | No (2)  

Aman  (12 years ago)

If the book has 100 pages numbered 1-100.
sum of all page numbers = 101*100/2=5050

sum of remaining page numbers = 4949
sum of missing page numbers = 101

Then missing page numbers will be 3 if two pages on each leaf are considered.
say (3,4), (5,6), (41,42) which is normal case.
or
6 pages if each leaf has one page.

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ArihantRkecha  (12 years ago)

In d question above the book contains 100 pages numbered from 1-100.And The options are
a)3
b)6
c)9
d)12

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