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Updated on: 14 Oct 2019, 08:07
Originally posted by Lisapizzola on 12 Jul 2018, 11:37.
Last edited by Bunuel on 14 Oct 2019, 08:07, edited 2 times in total.
Last edited by Bunuel on 14 Oct 2019, 08:07, edited 2 times in total.
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
93% (00:37) correct
7%
(00:40)
wrong
based on 985
sessions
History
Date
Time
Result
Not Attempted Yet
What is the greatest integer k for which \(32.45*10^k\) is less than 1 ?
A. –2
B. –1
C. 0
D. 1
E. 2
A. –2
B. –1
C. 0
D. 1
E. 2
12 Jul 2018, 12:43
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Lisapizzola
You know when we multiply \(10^k\) with any decimal number, the decimal point in the number moves k decimal places to the left(subject to k is a negative integer).
Since we need the product:- \(32.45 × 10^k <1\), we have to move the decimal point 2 places to the left so that we would get \(0.3245<1\).
Therefore, k=-2 .
Ans. (A)
P.S:- Kindly add OA.
General Discussion
12 Jul 2018, 17:09
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Lisapizzola
First of all, understand that the result has to be less than 1.
Given,
32.45 x \(10^k\). we are asked to find out the greatest integer k.
Note :
Scientific Notation is involved here in this question . To make a fraction integer we multiply and to make integer fraction we divide by \(10^x\).
In this question we are asked to make the result less than 1 means fraction . Thus we have to divide.
So only negative value will work here.
32.45 * 10^{-2}
0.3245 < 1.
Thus , A is the best answer. No other options meet our condition.
