Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 5)
5.
1397 x 1397 = ?
1951609
1981709
18362619
2031719
None of these
Answer: Option
Explanation:
1397 x 1397 = (1397)2
= (1400 - 3)2
= (1400)2 + (3)2 - (2 x 1400 x 3)
= 1960000 + 9 - 8400
= 1960009 - 8400
= 1951609.
Discussion:
55 comments Page 3 of 6.

Madhu said:   1 decade ago
Just that is a formula:

(a-b)^2 = a^2 + b^2 + 2ab in the same way

(1400-3)^2 = 1400^2 + 3^2 + 2*1400*3

Kriti said:   1 decade ago
Well, the given explanation is in the form of (a-b) ^2=a^+b^-2ab. Which is easier to solve.

Jaishanth said:   8 years ago
@Kabita.

We should just minus the 3 from 1400 to make the formula=(a-b)^2.
1397=(1400-3).

Sharon said:   1 decade ago
Dear Tamil your explanation is good.

But please explain me from where do that 3 comes?

Sindu said:   8 years ago
1397*1397= (1397*1000)+(1397*400)-(1397*3) = 1951609.

Split 1397 as (1000+400-3).

Sonal said:   1 decade ago
@Sravani.

How can you calculate the number of 779?

Can you explain it again?

Malik said:   1 decade ago
Can someone make me understand this line = (1400)2 + (3)2 - (2 x 1400 x 3) ?

Ajay said:   1 month ago
@Pramod.

Very clear and understanding. Thanks for your explanation.

Ajith said:   8 years ago
@Isha.

Whether it is applicable to all type of problems like this?

Nagarjuna goud said:   9 years ago
Hi @Sravani.

I did not understand your answer how it came?


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