Latest MBA Aptitude Question SOLUTION: A 120 digit number is formed by writing first x natural numbers in front of each other as 123456789101112..... Find the remainder when this number is divided by 8?Explain Plz.

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Previous Question: ABCDEFGH is a regular octagon as shown in the figure given below. What is the ratio of the area of the ΔBOC to the area of the octagon ABCDEFGH?

1) (2sqrt2 + 1)/8(sqrt2 + 1)
2) (2sqrt2 + 1)/4(sqrt2 + 1)
3) (3sqrt2 + 1)/4(sqrt2 + 1)
4) (3sqrt2 + 1)/2(sqrt2 + 1)
Next Question: Que: n is a number such that 2n has 28 factors and 3n has 30 factors,then 6n has how+ many factors?

1) 35
2) 32
3) 28
4) None

(#M40014871) MBA question number systems, progressions Keep an EYE

A 120 digit number is formed by writing first x natural numbers in front of each other as 123456789101112..... Find the remainder when this number is divided by 8?Explain Plz.

1) 2
2) 5
3) 8
4) 7

Asked In MBA (12 years ago)

Unsolved Read Solution (2)

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Read Solution (2) :

PALLAVI MITRA  (10 years ago)

no. of digits=9(1to9)+2(for10)+54*2(11to64)=9+2+108=119
so there is a shortage of one digit which will be fulfilled by the tens digit of 65
so the no. become 12345....3646
now to check that whether a number is divisible by 8 or not we consider the last 3 digits of the number
so considering 646 we get 6 as the remainder when divided by 8
but none of the options is 6

Is this solution Helpfull? Yes (2) | No   

anand prabhat  (12 years ago)

if this digit completly written...
1234567891011121314.....63646.
from 1 to 9, 9 digit and 11 to 64 54*2=108 digit,then
no of digit=9+2(for 10)+108+1(tens place of 65)=120.
if this number devided by 8 then only reminder are 2,4 or 6.
hence answer is (1)2.

Is this solution Helpfull? Yes | No   

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Previous Question: ABCDEFGH is a regular octagon as shown in the figure given below. What is the ratio of the area of the ΔBOC to the area of the octagon ABCDEFGH?

1) (2sqrt2 + 1)/8(sqrt2 + 1)
2) (2sqrt2 + 1)/4(sqrt2 + 1)
3) (3sqrt2 + 1)/4(sqrt2 + 1)
4) (3sqrt2 + 1)/2(sqrt2 + 1)
Next Question: Que: n is a number such that 2n has 28 factors and 3n has 30 factors,then 6n has how+ many factors?

1) 35
2) 32
3) 28
4) None

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