Aptitude - Numbers - Discussion
Discussion Forum : Numbers - General Questions (Q.No. 110)
110.
A number was divided successively in order by 4, 5 and 6. The remainders were respectively 2, 3 and 4. The number is:
Answer: Option
Explanation:
4 | x z = 6 x 1 + 4 = 10 ----------- 5 | y -2 y = 5 x z + 3 = 5 x 10 + 3 = 53 ----------- 6 | z - 3 x = 4 x y + 2 = 4 x 53 + 2 = 214 ----------- | 1 - 4 Hence, required number = 214.
Discussion:
30 comments Page 3 of 3.
Santha said:
9 years ago
If x is a power of numbers, then.
(5^2) + (12^2) = 25 + 144 = 169.
Which is equal to 13^2 = 169.
So, the value of x is 2.
(5^2) + (12^2) = 25 + 144 = 169.
Which is equal to 13^2 = 169.
So, the value of x is 2.
Dhanya said:
9 years ago
Can anyone elaborate it step by step?
Anil jangid said:
10 years ago
Sir I have other problem, please help me.
(5)x + (12)x = (13)x.
x is power of numbers. Then what would be value of x?
(5)x + (12)x = (13)x.
x is power of numbers. Then what would be value of x?
Bhavna said:
10 years ago
Not able to understand the solution elaborate it please.
Onyi said:
1 decade ago
I thought the same way as @M.Stoica, then I saw the word "successively". I think it simply means 'in succession' hence, it is the quotient obtained from the first division that you then divide by 5 and the next quotient result, you divide by 6 having this in mind, then go through the calculations by @Divya or the calculations provided after the answer, I'm sure you will understand.
Pooja said:
1 decade ago
We don't need to divide 214 by 5 but quotient obtain by dividing 214 by 4, i.e. 53. Further you will get 3 as remainder.
Maahi said:
1 decade ago
If we take, x=4a+2 then a=5b+3 and b=6c+4. How does it come?
M.stoica said:
1 decade ago
214 divided by 5 how the remainder can be 3?
Divya said:
1 decade ago
Let the no. is x.
according to question,x=4a+2.
a=5b+3.
b=6c+4
By solving this, we get
x=4[5(6c+4)+3]+2 (since a=5b+3,b=6c+4)
x=120c+94
Now for checking the answer we put c=1
x = 214 i.e. ans.
according to question,x=4a+2.
a=5b+3.
b=6c+4
By solving this, we get
x=4[5(6c+4)+3]+2 (since a=5b+3,b=6c+4)
x=120c+94
Now for checking the answer we put c=1
x = 214 i.e. ans.
(1)
Aman said:
1 decade ago
Not able to understand this question, what is asking, please discuss.
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