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sridhar

· started a discussion

· 1 Months ago

Dear Sir,

Can you please explain on telephone @ 8108252001 at your convenient timings.

Question:
When we multiply a certain two-digit number by the sum of its digits, 405 is achieved. If we multiply the number written in reverse order of the same digits by the sum of the digits, we get 486. Find the number.
Options:
A) 81
B) 45
C) 36
D) 54
E) 66
Solution:

Ans (b) The sum of two numbers should be factors of 405. A factor search will yield the factor. (look only for 2 digit factors of 405 with sum of digits between 1 to 19).

Also 405 = 5 × 34. Hence: 15 × 27

45 × 9 are the only two options.

i.e. Number × sum of digits = 405.

From these factors pairs only the second pair gives us the desired result.

Hence, the answer is 45.

NoOne

· commented

· 1 Months ago

It will be easy if you just look at the option rather than question. You'll immediately find out that only 1 option is right. If you're confused with the language then just read the first line. It says that Number will be multiplied by the sum of its digits and give the resultant 405. So only 45 will give that resultant. If you still have query then ask me. I'll be happy to help you.

kanhaiya jha

· commented

· 1 Months ago

Yet to be approved!

kanhaiya jha

· commented

· 1 Months ago

Given Condition,
Number * Sum of the Digits = 405
Now, factors of 405 will give the require number.
Factors of 405 = 5 * 3*3*3*3 = 15 * 27 = 45 * 9. I.e.
45 * 9 = 405.
So, Required number = 45.

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