Question

If, 1 , 1 =2. 2 , 3=7. 3 ,5=14. 4 ,7=23. Then 5 ,9=?

Answer 1

1 , 1 = 2
1²+1 = 2
...............
2 , 3 = 7
2²+3 = 7
...............
similarly
5 , 9 = 5²+9 = 25+9 = 34

Answer 2

34 is the value of 5, 9 as per the given sequence.

To Find:

The value of 5, 9.

Solution:

Here, the given sequence is in the form of,

$x, y=x^{2}+y$

The given question is a reasoning based question.

1, 1 =2  

$\Rightarrow 1^{2}+1=2$

2, 3 = 7  

$\Rightarrow 2^{2}+3=7$

3, 5 = 14

$\Rightarrow 3^{2}+5=14$

4, 7=23

$\Rightarrow 4^{2}+7=23$

That sequence refers the sum of the square of first number to the second number.

Therefore 5, 9 can be written as,

5,9= $5^{2}+9 \Rightarrow$

= 25+9 =34

34 is the value of 5, 9.