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Retired Moderator
Joined: 16 Apr 2020
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WE:Education (Education)
If x/y = 2.12, what could be the remainder
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10 Mar 2021, 20:17
10 Mar 2021, 20:17
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If \(\frac{x}{y} = 2.12\), what could be the remainder when \(x\) is divided by \(y\)?
A. 2
B. 3
C. 4
D. 6
E. 7
F. 9
G. 11
H. 12
A. 2
B. 3
C. 4
D. 6
E. 7
F. 9
G. 11
H. 12
ShowHide Answer
Official Answer
B,D,F,H
Re: If x/y = 2.12, what could be the remainder
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13 Mar 2021, 22:17
13 Mar 2021, 22:17
1
Solution:
As 2.12 is a decimal number, we can multiply 2.12 by multiples of 5 which will give us an integer number and help us to find the remainder.
The easiest multiple to start with is 100 i.e\( \frac{2.12 * 100}{100}=\frac{212}{100}. Lea\)ving a remainder is 12.
Now, rather than randomly choosing numbers, chose a number which, when multiplied be 2.12 gives us xxx.00
Such number are 25, 50 & 75.
When we multiply the above numbers with 2.12 we are left with remainder 3, 6 &9 respectively.
Notice the pattern all the number are multiples of 3.
IMO B, D, F & H
Hope this helps!
As 2.12 is a decimal number, we can multiply 2.12 by multiples of 5 which will give us an integer number and help us to find the remainder.
The easiest multiple to start with is 100 i.e\( \frac{2.12 * 100}{100}=\frac{212}{100}. Lea\)ving a remainder is 12.
Now, rather than randomly choosing numbers, chose a number which, when multiplied be 2.12 gives us xxx.00
Such number are 25, 50 & 75.
When we multiply the above numbers with 2.12 we are left with remainder 3, 6 &9 respectively.
Notice the pattern all the number are multiples of 3.
IMO B, D, F & H
Hope this helps!
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
If x/y = 2.12, what could be the remainder
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14 Mar 2021, 01:08
14 Mar 2021, 01:08
1
KarunMendiratta wrote:
If \(\frac{x}{y} = 2.12\), what could be the remainder when \(x\) is divided by \(y\)?
A. 2
B. 3
C. 4
D. 6
E. 7
F. 9
G. 11
H. 12
A. 2
B. 3
C. 4
D. 6
E. 7
F. 9
G. 11
H. 12
OA Explanation
\(\frac{x}{y} = \frac{212}{100}\) = \(\frac{106}{50}\) = \(\frac{53}{25}\)
Remainders: \(12, 6, 3\)
We can say that the reminders would be multiples of \(3\)
Hence, B, D, F and H
