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31 Jul 2019, 11:04
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Question Stats:
14% (01:58) correct
86%
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What is the value of \(d\) if the remainder when \(n\) is divided by \(d\) is \(49\)?
1) the remainder when \(2n\) is divided by \(d\) is \(48\)
2) the remainder when \(3n\) is divided by \(d\) is \(47\)
1) the remainder when \(2n\) is divided by \(d\) is \(48\)
2) the remainder when \(3n\) is divided by \(d\) is \(47\)
31 Jul 2019, 14:36
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Given n= 49 MOD d, where d>49
Statement 2-
2n= 48 MOD d
Also, 2n= (2*49-d) mod d
98-d=48
d=50
Sufficient
Statement 2-
3n= 49 mod d
Also, 3n= (3*49-d) mod d
147-d= 47
d=100>49
or 3n= (3*49-2d) mod d
147-2d= 47
d=50>49
Insufficient
Statement 2-
2n= 48 MOD d
Also, 2n= (2*49-d) mod d
98-d=48
d=50
Sufficient
Statement 2-
3n= 49 mod d
Also, 3n= (3*49-d) mod d
147-d= 47
d=100>49
or 3n= (3*49-2d) mod d
147-2d= 47
d=50>49
Insufficient
Asad
What is the value of \(d\) if the remainder when \(n\) is divided by \(d\) is \(49\)?
1) the remainder when \(2n\) is divided by \(d\) is \(48\)
2) the remainder when \(3n\) is divided by \(d\) is \(47\)
1) the remainder when \(2n\) is divided by \(d\) is \(48\)
2) the remainder when \(3n\) is divided by \(d\) is \(47\)
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01 Aug 2019, 19:27
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Asad
What is the value of \(d\) if the remainder when \(n\) is divided by \(d\) is \(49\)?
1) the remainder when \(2n\) is divided by \(d\) is \(48\)
2) the remainder when \(3n\) is divided by \(d\) is \(47\)
1) the remainder when \(2n\) is divided by \(d\) is \(48\)
2) the remainder when \(3n\) is divided by \(d\) is \(47\)
IMO: Ans is D
we have \(n=d*k+49\)....... (a) where k is some constant integer
(1)
Given : \(2*n=d*k_1 + 48\) ..... (b) where \(k_1\) is some constant integer
Now, do (b)-(a) we get .... \(n=d*(k_1-k)-1\)....(c)
Comparing (a) and (c) we can conclude that \(d\) is 50.
(2)
Given: \(3*n=d*k_2+47\) ...... (d) where \(k_2\) is some constant integer
Now, do (d)-(a), we get.... \(2*n=d*(k_2-k)-2\) .....(e)
since \(2*n\) is integer, we can divide equation (e) by 2 to get
\(n=d*(k_2-k)/2-1\) comparing this equation and (a) we can conclude \(d\) as 50
