Aptitude - Numbers - Discussion

Discussion :: Numbers - General Questions (Q.No.2)

2. 

(112 x 54) = ?

[A]. 67000
[B]. 70000
[C]. 76500
[D]. 77200

Answer: Option B

Explanation:

(112 x 54) = 112 x 10 4 = 112 x 104 = 1120000 = 70000
2 24 16

Ramya said: (Sep 20, 2010)  
I want any more explanation.

Tejas said: (Oct 2, 2010)  
This is the best method.

Ramu said: (Dec 11, 2010)  
I want easy and simple method.

Santhi said: (Feb 22, 2011)  
(4*4*7)*25*25
(4*25)*(4*25)*7=70000

Tamilarasi said: (Apr 15, 2011)  
How to put 10/2.......
If you write 10/2 means this ans is 5
In these sums easy way to get the ans.
eg:25 means 50/2.

112*10*10*10*10
_______________ = 70,000

2*2*2*2

Arun Raj said: (Apr 16, 2011)  
112*5*5*5*5 = 70000
simple:-)

Suresh Kumar said: (May 7, 2011)  
I want more explanations.

Ravi Shastri said: (Jun 26, 2011)  
SANTHI YOUR METHOD IS BEST

Ananya said: (Aug 9, 2011)  
112 x 5^4 = (2^4 * 7) * 5^4
= 2^4 * 5^4 * 7
= (2*5)^4 * 7
= 10^4 * 7
= 70000

Phani Gorantla said: (Aug 19, 2011)  
Here we can apply 2*5 as a zero technique
for ex 2*2^2*5^2

Now ans is 200(i.e in this pbm two 2's two 5 combination is there thats why i just put two zeros after 2.

Now the given pbm i converted into 2's and 5's combination
(112)*5^4
(7*2^4)*5^4
i.e 7*(2^4*5^4)ans is 70000(4 zeros added after 7 because four 2's and 5's combinations are there)

Abhishek said: (Aug 27, 2011)  
2^4*7*5^4
=(10)^4*7
=10000*7
=70000

Manish Tiwari said: (Oct 19, 2011)  
Tamilarasi your method is best.

Dinesh said: (Nov 21, 2011)  
How will come 24? Please Explain me.

Anup said: (Nov 25, 2011)  
Hmm.. hatz off to Mr. Arunraj.

Suba said: (Dec 25, 2011)  
5X5X5X5=625 SO 625X112=70000

Trina said: (Feb 1, 2012)  
Another easy method
112=7*2^4
we have to multiply 112 with 5^4
so the solution =7*2^4*5^4=7*(2*5)^4=7*10^4=70000

This is the answer.

Pranjal said: (Mar 28, 2012)  
Another most easy method
5x5x5x5=650 so 625x112=70000

this is the answer.

Basha..... said: (Jun 14, 2012)  
(112x5^4) = (112x625)

= 112 (600+25)

= (112x600+112x25)

= 67200+2800

= 70000.

Mradul said: (Jun 19, 2012)  
112*5^4 = (100+12)*5^4
100*5*5*5*5+12*5*5*5*5 = 62500+7500 = 70000

Pradnya said: (Jul 4, 2012)  
We can also use simple method by using multiplication.
i.e.,

5^4=5*5*5*5=625.

Then,

112*625=70000.

Priya said: (Jul 11, 2012)  
112*5^4 = (100+12) *625.

Use formula (a+b) *c = (a*c) + (b*c).

(100+12) *625 = (100*625) + (12*625).

= 62500+7500.

= 70000.

Poonam said: (Jul 13, 2012)  
Addition is simpler than multiplication,

(100+10+2)*(25*25)
=(100+10+2)*[25(20+5)]
=(100+10+2)*[500+125]
=(100+10+2)*625
=62500+6250+1250
=70000

S.Kishore Sulthana said: (Aug 31, 2012)  
The most easy method is
we all know that 5^4=(5^2)*(5^2)
=25*25=625

and then we multiple this answer with 112
i.e., (112*625)=70000

Shiyamala said: (Sep 30, 2012)  
112*5^4 =112*(5*5*5*5)

=112*(625)

=70000

or

112*5^4 = 112*(10/2)^4

= 112*(10000/16)

= 1120000/16

= 70000

Benu said: (Nov 7, 2012)  
112/8*8*25*25

= 14*200*25

= 14*5000

= 70000

Asha said: (Jan 16, 2013)  
Easiest way is 112*5*5*5*5=70000.

I have used multiplied 5 four times because they have given 5 to the power of 4 hence you can use it in a simplest manner by multiplying 5 four times.

Deepeshsingh said: (Jun 5, 2013)  
I did not multiply these numbers to get the answer. The simplest method is to find the number of zeros. See here we have four 5 and we can have fours 2, which when multiplied will give maximum number of fours zeros. And there is only one option with 4 0's that is 7000. :).

Rakkesh said: (Jun 21, 2013)  
(100+12) (5*5*5*5).
(100+12) (625) .

100*625 = 62500 + 12*625 = 7500.

Answer = 70000.

Ritesh Keshiya said: (Aug 1, 2013)  
How this 10/2 come from? Please reply with a easy method. Thank you.

Ravi said: (Sep 8, 2013)  
Hi @Ritesh, Its simple man: your Q: 10/2.

You can divide this number 10/2 you will get answer 5.

We just take that form (10/2) for our convenient. Moreover you can take also 50/2 if you take, would be 25. That's all buddy.

Tejal Patel said: (Feb 19, 2014)  
(100+10+2)(5^2)(5^2).

(100+10+2)25^2.

(100*625+10*625+2*625).

62500+6250+1250.

70000.

Namrata Kaku said: (May 24, 2014)  
(100+12)*5^4.
(100+12)*625.
62500+7500.
70000.

Siranjeevi said: (Jun 13, 2014)  
5*5*5*5 = 625.
625*112 = 70000.

That is it.

Sangeetha said: (Jul 5, 2014)  
This is a normal calculation.

(112*5*5*5*5) = 70000.

Md Jahangir said: (Jul 16, 2014)  
112*5^4 = 112*25*25.
625(112) = 625(100+12).
62500+7500 = 70000.

Teju said: (Jul 22, 2014)  
In simple Method we can solve this problem Like:

5 to the power of 4 means 5*5*5*5 = 625.

625*112 = 70000.

Ponnusamy said: (Jul 30, 2014)  
= 112*(5*5*5*5).
= 112*(25*25).
= 112*(625).
= 7000.

Cse Naveen said: (Aug 17, 2014)  
112*5^4 = (100+12)*625.
= (100*625)+(12*625).
= 62500+7500.
= 70000.

Karthik Kp said: (Sep 14, 2014)  
Guys why thinking hard way be smart just 112*5*5*5*5 = 70000.

Anita said: (Nov 26, 2014)  
112*25*25 = 70000.

Sona` said: (Jan 23, 2015)  
Is there any tricks to solve the simple problems like this question is given above.

Dipak said: (Feb 24, 2015)  
= 112 (5*5*5*5).

= 112*625 = 70000.

Aravinth Jiiva said: (Feb 25, 2015)  
112*5^4.

= 28*4*5*5*5*5.

= 14*2*2*2*5*5*5*5.

= 7*2*2*2*2*5*5*5*5.

= 70000.

Vinitha said: (May 15, 2015)  
5*5*5*5 = 625.

112*625 = 70000.

It is the simple step.

Umar Kce said: (Jun 6, 2015)  
Our author says easiest way.

Ex: Any no which is multiply by multiples of 5 we can follow these method.

= 187*5= 1870/2 = 935.

i.e, 5^1 = 5. So one zero.

If 125 means 5^3 = 125, so 000 to be added.

How many zero to be added in numerator that much of 2 to be added in denominator?

If 625 means in 1870000/2*2*2*2.

Aniruddha Wagh said: (Jul 2, 2015)  
2x5 gives 0 at unit place.

2^2x5^2 gives two zeros at last of number i.e. at unit and tens place.

Similarly for higher power gives respective zeroes at end. Now you can easily solved it. No need for me to solve.

Sindhu said: (Aug 21, 2015)  
This is simple method.

Yekambaram said: (Sep 24, 2015)  
I want best method.

Siva said: (Oct 9, 2015)  
We can use simple method:

5^4 = 5*5*5*5 = 625.

Then this to multiply with 112.

You can easily get answer 112*625 = 70000.

Shefali said: (Oct 12, 2015)  
We can simply check the number of zeros by determining the number of 5's.

Here, number of 5 = 4.

So, the answer will must have 4 zeros in last! So, here the answer will be 70000!

Bhupendra said: (Oct 19, 2015)  
It's so simple.

= 16x7x5^4.

= 7x (2^4x5^4).

= 7x (2x5) ^4 = 70000.

Shakila said: (Oct 27, 2015)  
Using the calculator we got the easy calculation.

(112*5*5*5*5) = 70000.

Manohar said: (Nov 23, 2015)  
@Shefali you nailed it. Just count the power of 5, and that many zeros have to be in answer.

Ravi Kant said: (Nov 26, 2015)  
Multiplication of a number by 5^n: Put n zeros to the right of the multiplicand and divide the number so formed by 2^n.

So (112 x 5^4) = 1120000/2^4 = 1120000/16 = 70000.

Note: It is only apply for 5^n.

Thank you.

Aaisha said: (Dec 7, 2015)  
Simply by calculator,

112*5^4=70000.

Aravinth said: (Feb 19, 2016)  
Normal multiplication is easy methods.

Vallabadasu Ramalakshmi said: (Mar 10, 2016)  
(2*5)^4(7) this method is easy.

Bhavesh said: (Apr 2, 2016)  
5*5 = 25.
25*25 = 625.
112*625 = 70000.

Sahil Mehta said: (Apr 14, 2016)  
112 * (5 * 5 * 5 * 5).
=> 112 * 625.
=> 70000.

Amarnath said: (May 16, 2016)  
5 * 5 = 25.
25 * 25 = 625.
112 * 625 = 70000.

Priya J.B said: (Jun 29, 2016)  
5 * 5 * 5 * 5 = 625.
112 * 625 = 70000.

Kanikannan.S.S said: (Jul 14, 2016)  
Very simple method for :
= 112 * 5^4,
= 112 * (5 * 5 * 5 * 5),
= 112 * 625,
= 70000.

Murmu Beta said: (Jul 14, 2016)  
Thanks for all methods.

Sachin said: (Jul 15, 2016)  
Thanks for all your solution and explanation.

Ammu said: (Aug 17, 2016)  
Thanks for all methods and explanations.

Kiranmai said: (Oct 19, 2016)  
It is very simple method.
= 112 x 5 x 4,
= 112 x 625,
= 70000.

Bedafabio said: (Oct 26, 2016)  
112*5^4=112*(10/2)^4
= 2*56*(10^4)/(2^4)

2 * 2 * 28 * 10^4
-------------------
2^4

2 * 2 * 2 * 14 * (10 * 10 * 10 * 10)
--------------------------------
2 * 2 * 2 * 2

2 * 2 * 2* 2 * 7 * 10 * 10 * 10 * 10
-----------------------------------
2 * 2 * 2 * 2

Then simply remove the number which is above and below the " ------------" bar
to simply the fraction till any above's number will not repeat( present ) below
thus, we get:
112 * 5^4 = 7 * 10 * 10 * 10 * 10 = 7 0 0 0 0.

That's all!

Bala said: (Nov 14, 2016)  
Thanks for all the given methods.

Lohit said: (Feb 22, 2017)  
5 * 5 * 5 * 5 = 625.
112 * 625 = 70000.

Priyanka said: (Mar 23, 2017)  
Thanks @Santhi

Ranjitha said: (Mar 25, 2017)  
Why you keep 10รท2?

Sakthi said: (May 20, 2017)  
How to put 10/2? Explain.

Himalay said: (May 23, 2017)  
How 2^4 came? Please explain it clearly.

Ramu Nakka said: (Jun 22, 2017)  
In simple Method we can solve this problem Like:

5 to the power of 4 means 5*5*5*5 = 625.
You can (112*5^4),
= 112*(5*5*5*5),
= 112*(625),
= 70000.

Pratheev Kalyan said: (Jul 9, 2017)  
(112)*(5^4)=(2*2*2*2*7)*(5*5*5*5).
=(2*5)*(2*5)*(2*5)*(2*5)*7,
=10*10*10*10*7,
=1000*7,
=70000(ans).

Jinali said: (Jul 29, 2017)  
(112*600) + (112*25).
= 67200 + 2800,
= 70000.

Yashwant said: (Aug 5, 2017)  
(2^4)*(5^4) = 10000,
10000 * 7 = 70000.

Venkatesh said: (Aug 11, 2017)  
Good answer, thanks @Ananya.

Ranjan Singh said: (Sep 7, 2017)  
Factorise 112 we will get 2^4*7
And 5^4*2^4=we get 4last zero.
So, 70000.

Balthonome D Sangma said: (Sep 21, 2017)  
How to put 10/2?

Karthik Sonegara said: (Oct 5, 2017)  
Can anybody help me with this!

My query is that why do we consider 5^4 when the question says 54?

Rushikesh K. said: (Jan 12, 2018)  
Simply it is 112 x 5 x 5 x 5 x 5 = 7000.

Mukesh Rathod said: (Jan 18, 2018)  
It should be,

112*625=70000.

Rakesh said: (Feb 21, 2018)  
112(600+25) = 12200*6 + 112*20 + 122*5 = 70000.

Sumon said: (Mar 13, 2018)  
We can make it more simply.

112*5^4 =112*625=70000.

Ravi Kiran said: (Apr 25, 2018)  
5----2^1,
5*5------2^2=4,
5*5*5------2^3=8,
5*5*5*5-----2^4=16,

Then simply,
112/16=7 and then it is 70000.

Narendra Patidar said: (May 7, 2018)  
112*5^4=
112=(100+10+2)
5^4=625.

Now
(100+10+2)*625.
=>100*625 +10*625 + 2*625,
=> 62500 + 6250 + 1350,
=> 700000.

Trishita said: (May 14, 2018)  
112*5^4.

= 16*7*5*5*5*5,
= (4*5)*(4*5)*5*5*7,
= (20*5)*(20*5)*7,
= 100*100*7,
= 70000.

Sandesh said: (Jun 18, 2018)  
We can also solve it by this method.
112=4^2+10^2*5^4.

Cancel these squares,
(4+10)*5=70.

Atif Iqbal said: (Jul 27, 2018)  
5*5*5*5=625.
112*625=70000.
This is so simple method.

Karthikeyan said: (Jul 28, 2018)  
@Ramya.

5*5*5*5 = 625 then 112 * 625 = 70000.

Kapil said: (Aug 31, 2018)  
It is simple.

112 * 5 * 5 * 5 * 5,
112*625,
70000.

Giridhar Reddy said: (Sep 3, 2018)  
112 * 5^4 =
2 * 5 = 10 (since 112 = 2*2*2*2*7).
2 * 5 = 10
2 * 5 = 10
2 * 5 = 10
7 = 7
-----------------
7 * 10^4 = 70000.
-------------------

Vaibhav said: (Dec 3, 2018)  
This method is quite easy to solve;

112 * 625.
= 100*625+10*625+2 * 625,
= 62500 + 6250 + 1250,
= 70000.

Mahi said: (Jan 28, 2019)  
The Simple trick is;

Highest power is 4 therefore answer will be the option having 4 zeros i.e. 70000.

Js Parihar said: (Feb 26, 2019)  
By digit sum it can be more easier:

112 * 625 = 4 * 13 = 4 * 4 =>16 = 7.
digit sum of option will be;
70000 = 7.

Manish Pandey said: (Apr 30, 2019)  
(112 x 54) = 112 x 10 4 =112 x 104 = 1120000 = 70000.

Arjun Reddy said: (May 21, 2019)  
(112*25*25) = 70000.

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