CAT
Exam
a book has exactly 300 pages,numbered from 1 through 300.if all the pages on which there is a page number that is multiple of 4 are torn out and destroyed.what is the total of all the pages numbers on the pages that remains
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- pages in a book are numbered as 1,2,3.....299,300. On removing a page whose page number is divisible by 4 ,page on its back also gets destroyed....for ex :- on removing page 4 ,page 3 also gets destroyed....so after removing all condetional pages we are left with 1,2,5,6,9,10,13,14.........297,298
we can split it as 1,5,6,.....297 and 2,6,10,....298 sum of both A.p is
(75/2)(1+297)+(75/2)(2+298)=22425 - 11 years agoHelpfull: Yes(14) No(1)
- anjul meid is correct
- 11 years agoHelpfull: Yes(3) No(0)
- 33750
Sum = (1+2+...+300) - (4+8+...+300)
= [(300*301)/2] - [4*(75*76)/2]
= 45150 - 11400
= 33750 - 11 years agoHelpfull: Yes(2) No(9)
- sum of numbers from 4+8+...+300=75/2(304)=11,400
1+2+3+....300=(300*301)/2
150*301=45,001
sum of remaining numbers=45,001-11,400=33.601 - 11 years agoHelpfull: Yes(0) No(5)
- ANSWER IS 225. 300/4 =75.so there are 75 numbers which are multiple of 4. thus 300-75=225.
- 11 years agoHelpfull: Yes(0) No(5)
- there are 300 PAGES in the book, i.e. 150 papers in that book.
the no of pages divisible by 4= 300/4=75
since while tearing the page no divisible by 4, the previous page no also gets torn. E.g. page no. 3 & 4
hence we multiply 75 by 2 thus getting 150 pages torn and 150 left. - 11 years agoHelpfull: Yes(0) No(0)
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