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Numerical Ability
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The units digit of the sum of the first 84 positive integers (that is 1 + 2 + 3 + ... + 84 ) is
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- WE KNOW,the sum of a.p series is n/2(a+l)
here n=84,a=1,l=84
therefore sum=84/2(1+84)=3570
so,the unit digit is 0 - 11 years agoHelpfull: Yes(25) No(0)
- sum of first n terms is [n(n+1)]/2
and here unit digits sum is frm 1to 9....frm 1 to 80
therefore sum of 1,2,3.......9 is [9(9+1)]/2=45.....
frm 1 to 80 ...sum is 45*8=360gives 0 at unit place
now frm 81 to 84...sum of unit digit is:[4(4+1)]/2=20...
so 360+20 gives 0 at unit place
so ans is 0... - 11 years agoHelpfull: Yes(2) No(0)
- n(n+1)/2=84*85/2;
- 11 years agoHelpfull: Yes(1) No(1)
- sum is 84*85/2
so d last digit is 0. - 11 years agoHelpfull: Yes(1) No(0)
- zzzzzzzeeeerrrrrrooooooooooooooooo
- 11 years agoHelpfull: Yes(1) No(0)
- sum of 1 to 9 is 45 so the last digit is 5.
same as for 1 to 80 , the last digit of sum is 8*5=40 i.e. 0
hence for 81 to 84 the last digit of sum is 1+2+3+4=10 i.e. 0
hence unit digit of sum is 0 - 11 years agoHelpfull: Yes(0) No(0)
- 0..
sum=n(n+1)/2 - 11 years agoHelpfull: Yes(0) No(0)
- use sum of n natural no formula that is n(n+1)/2. By this we get 0
- 11 years agoHelpfull: Yes(0) No(0)
- (n*(n+1))/2
(84*85)/2 = 3570
unit digit 0 - 11 years agoHelpfull: Yes(0) No(0)
- 1+2+3+.......+84=84*85/2=3570
Unit digit=0 Ans
- 10 years agoHelpfull: Yes(0) No(0)
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