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:
214
476
954
1908
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 2 of 3.

Vivek gupta said:   9 years ago
Wrong answer.

How can remainder will be 3 when 214 is divided by 5?

The Correct answer should be 60k-2.

Where k is any integer.

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.

Sarthaksaxena said:   8 years ago
I guess this is wrong question as how it is possible to get 3 as a remainder when 214 is divisible by 5? Please tell me.
(3)

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.

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?

Shivani said:   5 years ago
First, divide 214 with 4 quotient = 53,
Now divide 54 with 5 quotient = 10,
Now with 6 quotient = 1.
(3)

Siddhi said:   11 months ago
When 214 is divided by 5 then the remainder is 4 not 3.

How is it possible? The answer is 238.
(3)

Tebuam Tesia said:   4 years ago
How 1 come from below z? I don't understand.

Please explain me in detail.
(1)

Aman said:   1 decade ago
Not able to understand this question, what is asking, please discuss.

Manju said:   9 years ago
@Divya could you please elaborate your explanation?

How a = 5b + 3?


Post your comments here:

Your comments will be displayed after verification.