ANNUAL EXAMINAT
CLASS:9TH
SUBJECT: ENG
PART A - GRAMN
. Four alternatives are given for each of the fo
Write the correct or the most appropriate a
.Choose the appropriate question tag and f
Suresh is doing the work,
Answers
Answer:
Question:−
1² + 2² + 2² = 3²
2² + 3³ + 6² = 7²
3² + 4² + 12² = 13²
4² + 5² + __² = 21²
5² + __² + 30² = 31²
6² + 7² + __² = __²
\Large{\bf{\orange{\mathfrak{\dag{\underline{\underline{Answer:-}}}}}}}†Answer:−
Here,
In the 1st column we can observe that they are natural numbers from 1 to 6.
In the next column we can observe that the numbers are starting from 2 and ending with 7.
We can also observe that the common difference between the numbers is 1.
Therefore,
2nd column, 5th row answer is 6.
5² + 6² + 30² = 31²
Verifying:-
25 + 36 + 900 = 961
61 + 900 = 961
961 = 961
Hence, our answer is correct.
Now,
Let's see 3rd column.
In 3rd column, we can observe that the numbers are starting from 2 and ending with __ (empty).
There is no common difference in the 3rd column.
But,
If we relate 3rd column with 1st and 2nd column, we can observe that,
1st column x 2nd column = 3rd column.
1 x 2 = 2
2 x 3 = 6
3 x 4 = 12
Then,
4 x 5 = 20
In the same way,
5 x __ = 30
__ = \sf \dfrac{30}{5}530
__ = 6
Continuing,
5 x 6 = 30
In the same way,
6 x 7 = 42
Therefore,
3rd column, 4th row answer is 20.
3rd column, 6th row answer is 42.
Veryfing:-
4² + 5² + 20² = 21²
16 + 25 + 400 = 441
41 + 400 = 441
441 = 441
Next,
6² + 7² + 42² = __
36 + 49 + 1764 = __
85 + 1764 = __
1849 = __
We don't know the value of 4th column, 6th row. Let's find it.
Now,
On observing 4th coloum,
It starts from 3 and ends with __ (empty).
There is no common difference also.
But wait,
On careful observation,
7 - 3 = 4
13 - 7 = 6
21 - 13 = 8
31 - 21 = 10
By, this we can understand that,
Difference of these numbers results in a even number.
According to this,
__ - 31 = 12
__ = 12 + 31
__ = 43
Therefore,
4th column, 6th row answer is 43.
There is also an another way,
On careful observation of 3rd and 4th column we can say that,
3rd column + 1 = 4th column.
By this,
42 + 1 = 43
Anyway,
Verifying:-
6² + 7² + 42² = 1849
36 + 49 + 1764 = 1849
85 + 1764 = 1849
1849 = 1849
Coincidentally, our answer of 3rd column, 6th row i.e 42 has also verified.
\Large{\bf{\red{\mathfrak{\dag{\underline{\underline{Final \: Answer:-}}}}}}}†FinalAnswer:−
1² + 2² + 2² = 3²
2² + 3³ + 6² = 7²
3² + 4² + 12² = 13²
4² + 5² + 20² = 21²
5² + 6² + 30² = 31²
6² + 7² + 42² = 43²