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.

Sreehari said:   5 years ago
How to get 245?
(1)

Shivaji said:   3 months ago
Given (1.5625)^2.

= (15625/10000)^2,
= (5*5*5*5*5*5/10*10*10*10)^2,
= (5^2*5^2*5^2/10^2*10^2)^2,
= 5*5*5/10*10.
= 125/100.
Then the answer is 1.25.
(1)

Mouni said:   1 week ago
√1.5625
Step 1. Check the last digit possibility 5 = 5,
Step 2. Strike off the last three digits.
Step 3. The remaining value is close to the perfect square root i.e 5 is nearly √2=4=2.
√1 = 1
Therefore, the result is = 1.25.
(1)

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.

Vivek Wadhawan said:   1 decade ago
@Dipankar.

Your trick is good but didn't work for square of n. O whose digit ends with 7.

Let me give an example.

77^2 = 5929. That means acc to your trick sqrt of 5929 should be 73. Where it fails.

Another ex :- 27^2.

Amisha said:   1 decade ago
sqrt(15625/10000)
Now for 15625, separate into 156 and 25.

For 156, divide into two consecutive number i.e 12*13 and choose least number i.e. "12".

For 25, square root is "5".
Now combine both i.e. 12 and 5 which makes "125".
Now, 125/100 gives 1.25.

This is true for any which can fulfill the criteria i.e.

1. Consecutive number and choosing lower of both.
2. Last 2 digits 25.

This method is best when you know that the number is a perfect square.

Raj said:   1 decade ago
Can you explain in more simpler manner?

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).

Rakshit said:   1 decade ago
In main solution there is 225 instead of 245 might be.

Anil said:   1 decade ago
Can any one tell why 22 and 245 came in solution they give in the explanation?


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