Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 15)
15.
72519 x 9999 = ?
725117481
674217481
685126481
696217481
None of these
Answer: Option
Explanation:
72519 x 9999 = 72519 x (10000 - 1)
= 72519 x 10000 - 72519 x 1
= 725190000 - 72519
= 725117481.
Discussion:
15 comments Page 1 of 2.

Anurag said:   3 years ago
@All.

The best short trick to multiply any digit with 99,999,999,99999999,..


Example;
33 * 99 = 33 -1 || 9-3 || 10-3 => 3267.
237 * 999 = 237-1 || 9-2 || 9-3 || 10 - 7 (10 - last digit) => 236763.
(2)

Manoj said:   4 years ago
From where do we get 5x?
(2)

Aashu said:   4 years ago
7 + 2 + 5 + 1 + 9 = 24 again 2 + 4=6
9 + 9 + 9 + 9 = 36 again 3 + 6 =9
Given =72519 * 9999 = 9 * 6 = 54 sum of 5 + 4= 9

Now find the sum of the digits in the given option
A)7 + 2 + 5 + 1 + 1 + 7 + 4 + 8 + 1 = 9,
Similarly for
B)4
C)5
D)8
So, option A is the correct answer. Hope my answer is useful.
(13)

Mustafa said:   6 years ago
This trick always works if m * n when the numbers in m > n and n = any number of 9's sequence.

1) Count number of 9's in n.
2) Add those many 0's in the m number.
3) Subtract the original number.

eg> 72519 * 9999.
m=5 , n = 4 thus m>n.
721590000-72519= 725117481.
(1)

Mustafa said:   6 years ago
It works if m * n when the numbers in m > n and n = any number of 9's sequence.

1) count number of 9's in n.
2) add those many 0's in the m number.
3) subtract the original number.

eg> 72519 * 9999.
m=5 , n = 4 thus m>n.
721590000-72519= 725117481.
(1)

Smit said:   7 years ago
If we multiply all then option C is correct.

Vamsi aripaka said:   7 years ago
Thank for explaining the solution.
(1)

Roshan said:   9 years ago
I think it's 72446481.

Is it correct?
(3)

Krishnamurthy said:   9 years ago
The easiest method can be:

72519 x 9999.

If the multiplier is series of 9 (i. e. 9, 99, 999. ) then,

Add every digit in the given answer (i.e. 7 + 2 + 5 + 1 + 1 + 7 + 4 + 8 + 1 = 36, add the answer again, i.e. 3 + 6 = 9).

And if the final answer is 9 then that number itself answers.

Sree said:   9 years ago
It is very simple method 72519 * 9999.

72519 * 9000 = 652671000,
72519 * 900 = 65267100,
72519 * 90 = 6526710,
72519 * 9 = 652671.

Then 652671000 + 65267100 + 6526710 + 652671 = 725117481.
(1)


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