Aptitude - Decimal Fraction - Discussion

Discussion Forum : Decimal Fraction - General Questions (Q.No. 12)
12.
4.2 x 4.2 - 1.9 x 1.9 is equal to:
2.3 x 6.1
0.5
1.0
20
22
Answer: Option
Explanation:
Given Expression = (a2 - b2) = (a2 - b2) = 1.
(a + b)(a - b) (a2 - b2)
Discussion:
14 comments Page 1 of 2.

Divya said:   1 decade ago
Here in numerator 4.2 is expressed as a^2
and 1.9 is expressed as b^2

Similarly it is clearly know from the denominator

Such that (a^2=4.2) and (b^2=1.9)formula for
(a^2-b^2) is (a+b)(a-b)
therefore 4.2+1.9 =6.1 and 4.2-1.9=2.3thus when both are canceled we get 1.0 as result

Arvind_ap said:   1 decade ago
Its simply.

4.1 x 4.1 = 17.64 & 1.9 x 1.9 = 3.61.

Now 17.64 - 3.61 = 14.03.

= 2.3 x 6.1 = 14.03.

So 14.03/14.03.

Answer = 1.
(4)

Aakash gk said:   4 years ago
Neeraj just take the approx value;

For eg;
4.2 as 4,
1.93 as 2,
2.3 as 2,
6. 1 as 6.
You'll 4 * 4 - 2*2 / 2*6.
= 12/12,
= 1.
(19)

Raju trimukhe said:   1 decade ago
Use formula a^2-b^2 = (a+b)(a-b).

(4.2+1.9)(4.2-1.9) = (6.1)(2.3).

Whole expression:

= (6.1)(2.3)/(6.1)(2.3).

= 1.
(5)

Suresh said:   1 decade ago
But how you take the numerator as 4.2 = a^2. If it so means a^4-b^4 = 4. 2*4.2 - 1.9*1.9. I can't get your explanation.

Murali said:   5 years ago
I have taken approx value of;

4.2 as 5
1.9 as 2
2.3 as 3
and 6.1 as 7.
and I got the answer 1.
(1)

Harish said:   1 decade ago
Just simply subtract 4.2-1.9 = 6.1 and add 4.2+1.9 = 2.3.

You can easily find logic.
(1)

Neeraj Bhaskar said:   5 years ago
How the denominator value is match with the mentioned formula? please explain.
(1)

Akiii said:   1 decade ago
I didn't understand the answer, can you please explain. ?

Bittu Rana said:   2 months ago
(4.2-1.9)(4.2+1.9)/2.3*6.1.

So, the Answer: B 1.0


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