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.
Manju said:
9 years ago
Dividend = divisor * quotient + remainder.
So let the number be X.
=> X = 4a + 2--->1st eq (here a is quotient of 1st division , this will be divided by 5).
=> a = 5b + 3 (b is 2nd quotient, similarly).
=> b = 6c + 4
Considering 1st equation.
X = 4[5(6c + 4) + 3] + 2.
X = 120c + 94 ( here I did'nt get about 94).
Can anyone please explain it?
And rest calculations are like as Divya explained
So let the number be X.
=> X = 4a + 2--->1st eq (here a is quotient of 1st division , this will be divided by 5).
=> a = 5b + 3 (b is 2nd quotient, similarly).
=> b = 6c + 4
Considering 1st equation.
X = 4[5(6c + 4) + 3] + 2.
X = 120c + 94 ( here I did'nt get about 94).
Can anyone please explain it?
And rest calculations are like as Divya explained
Manju said:
9 years ago
@Divya could you please elaborate your explanation?
How a = 5b + 3?
How a = 5b + 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?
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