Elitmus
Exam
Numerical Ability
Number System
if two numbers are each divided by the same divisor,the remainders are respectively 3 and 4.if the sum of the two numbers be divided by the same divisor,the remainder is 2.the divisor is
Read Solution (Total 7)
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- taking an example
13=5(2)+3
14=5(2)+4
13+14=27
27=5(5) +2
hence divisor = 5 - 7 years agoHelpfull: Yes(7) No(0)
- Given is ,
x=md+3
and y= nd+4
Summing up the above two equations, we get
x+y =(m+n)d+7
But we are given that the remainder is 2, Thus we can write the above sum as -
x+y =(m+n+1)d + 2
which implies the value of d=5 - 7 years agoHelpfull: Yes(6) No(0)
- For these type of question there is a direct formula
Let m and n be two numbers and x is divisor
M/x gives remainder r1
N/x gives remainder r2
(M+N)/x gives remainder r3 then
X=r1+r2-r3
Here
X=3+4-2
=5 - 6 years agoHelpfull: Yes(2) No(0)
- first take on the question is both the nos are consecutive since remainder is n and n+1 i.e 3,4.
now remainder is 3 and 4 so divisor must be greater than 4 for sure.so next is try for 8,9 or any such no.s to make the primary statement true its always 5 as divisor - 7 years agoHelpfull: Yes(1) No(0)
- Soln by example:
18%5=3
24%5=4
Now 18+24=32
so, 32%5=2
Hence the no is 5 - 7 years agoHelpfull: Yes(1) No(0)
- 5. 8/5 gives reminder 3 and 9/5 gives 4 and 17/5 gives 2
- 7 years agoHelpfull: Yes(0) No(2)
- divisor=1st remainder+2nd remainder-3rd remainder=3+4-2=7-2=5
hence divisor=5 - 6 years agoHelpfull: Yes(0) No(0)
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