Aptitude - Square Root and Cube Root - Discussion

Discussion Forum : Square Root and Cube Root - General Questions (Q.No. 4)
4.

1.5625 = ?

1.05
1.25
1.45
1.55
Answer: Option
Explanation:
   1|1.5625( 1.25
    |1
    |-------
  22| 56
    | 44
    |-------
 245| 1225
    | 1225
    |-------
    |    X
    |-------     

1.5625 = 1.25.

Discussion:
62 comments Page 2 of 7.

Sandhya said:   1 decade ago
sqrt of 1. 5625 = sqrt of [15625/10000].

15625=125*125 ; 10000=100*100.

=125^2 ; =100^2.

sqrt of 15625=[125^2]^ (1/2) ; sqrt of 10000=[100^2]^ (1/2).

Powers get cancelled, therefore = 125/100.

= 1. 25.

Siva said:   10 years ago
1.25 *1.25.

If the last digits ends with 5 always in both the sides multiply 5*5.

Then in the first digit add one number.

12 + 1 = 13.

Now multiply 12*13 = 156.

This method will be more easy.

Parthkushte said:   1 decade ago
Whenever a sq.rt. ends with "25"(1.56'25'), the last digit of root is always "5"(1.25).

The other 'digits can be found by this method: '12'X'13' = '156('1.56'25).

Oshin said:   1 decade ago
Ya its 1.25, one method is.

Take last 2 digits 25, and square root of it is 5.

And 156 = 12*13, we must take smaller number, 12.

So its 125 and add decimal, then its 1.25.

Som said:   10 years ago
Remember trick, in 15625 last two digits can be obtained by multiplying 5*5. Now 156 can be obtained by multi 12*13. So answer will be 125 now put decimal accordingly.

Sidhu said:   8 years ago
@ALL.

Very simple short cut
1+5+6+2+5 = 8

[A]. 1.05(1+5)=6.
[B]. 1.25 (1+2+5)=8.
[C]. 1.45(1+4+5=10)=(1+0)=1.
[D]. 1.55(1+5+5=11)=(1+1)=)2.

So the answer is B.
(1)

Shali said:   1 decade ago
5 | 15625
----------
5 | 3125
----------
25| 625
----------
25| 25
----------
| 1

5*5*25*25 while taking square root 5*25 = 125 i.e 1.25 decimal after 2 digits.

Sakshi said:   1 decade ago
Hi Shri! 5 power of 6 and 10 power of 4
we can write it= 5 square*5 square*5 square/10 square*10 square under root
it will bcome 5*5*5/10*10 =125/100 =1.25

Dulberg said:   1 decade ago
@Shruti.

I think @Dipankar was just trying to give a clue. Personally I find it very useful. It gives you the idea about the figure you should expect.

Priya said:   1 decade ago
We can write 1.5625 as 15625/10000.

So, (125)^2=15625 and (100)^2=10000.

So, by taking square root of this it became 125/100 So the answer is 1.25.


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