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A number when divided by D leaves a remainder of 8 and when
divided by 3D leaves a remainder of 21 . What is the
remainder left, when twice the number is divided by 3D?

Answers were Sorted based on User's Feedback



A number when divided by D leaves a remainder of 8 and when divided by 3D leaves a remainder of 21 ..

Answer / mohan chakradhar malla

Answer is 3


x%D =8 implies
p1 + (8/D)= x/D, ----1
x%3D= 21 implies
p2 + (21/3D)= x/3D ------2

x/D - x/3D =2x/3D -----3
from 1 and 2 and 3
(p1+8/D ) - (p2 + 21/3D) = 2x/3D
(p1-p2)+(3/3D)=2x/3D

hence logically remainder is 3
as ex 4/5 -1/5 always yields a remainder less than 5 with 4, 1 less than 5

Is This Answer Correct ?    63 Yes 8 No

A number when divided by D leaves a remainder of 8 and when divided by 3D leaves a remainder of 21 ..

Answer / chanki choudhary

(number-8)/D = any integer value (coz remainder 0)

(number-21)/3D = any integer value (coz remainder 0)

multiply with 2

2x(number-21)/3D = 2 x any integer value = integer

(2x number -42)/3D = integer value

so we can say that if we divide (2xnumber) with D remainder
should be 42







Again look
multiply and divide lhs of equation 1 with 3

3x (number-8)/3D = any integer value

(3x number-24)/3D = integer

subtract equation 1 from this equation

((3x number -24)/3D)-((number-8)/D)= large integer- small
integer


(2x number -3)/3D = integer value
so remainder should be 3



now we found 2 answers
3 and 42

actually both are right
but 3 is appropriate answer
we can conclude that number D is 39
so we got answer 42

Is This Answer Correct ?    9 Yes 5 No

A number when divided by D leaves a remainder of 8 and when divided by 3D leaves a remainder of 21 ..

Answer / manish vazirani

(number-8)/D = any integer ---(1) (since the remainder will
be zero)

(number-21)/3D = any integer --(2) (since the remainder will
be zero)

Multiply and divide lhs of equation 1 with 3

3x (number-8)/3D = any integer

=> (3x number-24)/3D = any integer--(3)

Now, subtract equation (2) from equation (3),

((3x number-24)/3D) - ((number-21)/3D) = any integer value

=> (2x number - 3)/3D = any integer value

the above equation satisfies the condition given in the
equation. Hence the answer is 3.

Is This Answer Correct ?    4 Yes 0 No

A number when divided by D leaves a remainder of 8 and when divided by 3D leaves a remainder of 21 ..

Answer / kamal singh

let take number = 99
D = 13
when divided remender is 8.

99%3*13 =99%39 = 21
99*2%39 = 198%39 =3

hence, answer is 3....

Is This Answer Correct ?    3 Yes 2 No

A number when divided by D leaves a remainder of 8 and when divided by 3D leaves a remainder of 21 ..

Answer / a.nisha

42

Is This Answer Correct ?    24 Yes 45 No

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