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Bunuel
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If x is an integer, how many leading zeros (zeros to the right of the 27 Apr 2016, 11:24
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55% (hard)

Question Stats:

57% (01:43) correct 43% (01:23) wrong based on 262 sessions

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If x is an integer, how many leading zeros (zeros to the right of the decimal point but before the first nonzero digit of a decimal) are in the decimal representation of 1/x?

(1) 90 < x < 101
(2) 96 < x < 99
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D
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If x is an integer, how many leading zeros (zeros to the right of the 14 Jun 2018, 01:56
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Bunuel
If x is an integer, how many leading zeros (zeros to the right of the decimal point but before the first nonzero digit of a decimal) are in the decimal representation of 1/x?

(1) 90 < x < 101
(2) 96 < x < 99
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If x takes values from 2 to 10, the decimal representation of 1/x will have no leading zeroes.
If x takes values from 11 to 100 (both inclusive), the decimal representation of 1/x will have 1 leading zero.
If x takes values from 101 to 1000 (both inclusive), the decimal representation of 1/x will have 2 leading zeroes and so on.

Statement 1: 90 < x < 101
x is a number from 11 to 100.
Therefore, 1/x will have 1 leading zero.
Statement 1 alone is sufficient.

Statement 2: 96 < x < 99
x is a number from 11 to 100.
Therefore, 1/x will have 1 leading zero.
Statement 2 alone is sufficient.

Each statement is independently sufficient.
Choice D.
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If x is an integer, how many leading zeros (zeros to the right of the 27 Apr 2016, 23:44
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Bunuel
If x is an integer, how many leading zeros (zeros to the right of the decimal point but before the first nonzero digit of a decimal) are in the decimal representation of 1/x?

(1) 90 < x < 101
(2) 96 < x < 99
Show more

is it D sir... Becoz in both cases its going to have 0.01xxx combo?
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If x is an integer, how many leading zeros (zeros to the right of the 29 Apr 2023, 11:36
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Concept:

If X is an integer with "n" digits, and is not a perfect power of 10, then it will have n-1 leading zeros.

If x is a perfect power of 10 (10^1, 10^2, 10^3 etc), then 1/x will have n-2 leading zeros.


(1) N is between 91 and 100 inclusive

Case 1: 90 to 99 are 2 digits numbers, .'. 2-1 = 1 trailing zero
Case 2: 100 is a perfect power of 10 (10^2) and is 3 digits, .'. 3-2 = 1 trailing zero

Sufficient.

(2) Stmt 2 is same as Case 1 above; 97,98,99 which are 2 digit non-perfect powers of 10s .'. 2-1 = 1 trailing zero.

Sufficient.

Hence: D
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If x is an integer, how many leading zeros (zeros to the right of the 09 Oct 2024, 14:02
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