Latest CTS Aptitude Question SOLUTION: If all 6 are replaced by 9,the algebric sum of all numbers from 1 to 100 (both inclusive)varies by, a) 980 b)330 c)660 d)990

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(#M40152952) CTS Numerical Ability question CTS Keep an EYE

If all 6 are replaced by 9,the algebric sum of all numbers from 1 to 100 (both inclusive)varies by,

a) 980 b)330 c)660 d)990

Asked In CTS Punitha (8 years ago)

Solved Sarath Babu Read Solution (8)

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Read Solution (8) :

Sarath Babu  (8 years ago) Best Solution

first take the numbers which have 6 in their unit place - 06,16,26,36,46,56,66,76,86,96.
if all 6 in unit plce is replaced with 9 then in each case the increment would be 3.
so for all ten numbers total increment is 10*3=30.

then take all numbers which have 6 in their tenth place - 60,61,62,63,64,65,66,67,68,69
in each case if we replace 6 with 9 -90,91,92,93,94,95,96,97,98,99
then there is increment of 30 in each case .
so total increment for ten numbers is 10*30==300.
so the total increment including unit and tenth place is 30+300=330.

Is this solution Helpfull? Yes (48) | No (6)  

aswinkumar.R  (8 years ago)

100(9-6)+10(9-6)=330(b)

Is this solution Helpfull? Yes (8) | No (1)  

Rahul  (8 years ago)

you are mistaken, 99-66 will be 33 rather than 30.
so ans is 330

Is this solution Helpfull? Yes (6) | No   

Akanksha Agrawal  (8 years ago)

6,16,26,36,46,56,76,86,96 replace by 9 then 3*9=27
60,61,62,63,64,65,66,67,68,69 then increase by 30 i.e, 30*10=300
It mst v 327

Is this solution Helpfull? Yes (5) | No (10)  

Bablu patel  (8 years ago)

6,16,26,36,46,56,76,86,96 replace by 9 then 3*9=27
60,61,62,63,64,65,66,67,68,69 then increase by 30 i.e, 30*10=300+3
99-66=33-30
It will be 330

Is this solution Helpfull? Yes (3) | No   

ankesh Patel  (7 years ago)

60 - 90 , 61 - 91, ........ 66 - 99........ 69 - 99 its clear that
9 numbers except 66 increased by 30 while 66 - 99 there is increase of 33
so 9 * 30 = 270 and 1 * 33 = 33
270 + 33 = 303

also 6 - 9 , 16 - 19 , 26 - 36 ......... 3 is the increment in this 9 numbers leaving 66 as we counted 66 above

so final total = 303 + 27 = 330
so 9 * 3 = 27
total = 300+30 = 330
answer is 330

now those who think it should be 327 it cant be because
66 changing to

Is this solution Helpfull? Yes (2) | No   

AMIT  (8 years ago)

it should b 327

Is this solution Helpfull? Yes | No (8)  

ARPITA SINHA  (7 years ago)

the soln is 330

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