Question

Select the number pair in which the two numbers are related in the same way as are the two numbers in the following 7:85 .a)3:31 , b)2:9 ,c)5:43 ,d)8:113

Answer 1

The required option is "(d) 8 : 113".

Step-by-step explanation:

We have,

7 : 85

The patter follow,

$n = n^{2} +(n-1)^{2}$

7 = $7^{2} +(7-1)^{2} =49+36=85$

Check options:

a) 3 : 31

$3 = 3^{2} +(3-1)^{2} =9+4=13$ ≠ 31, it is false

b) 2 : 9

$2 = 2^{2} +(2-1)^{2} =4+1=5$ ≠ 9, it is false

c) 5 : 43

$5 = 5^{2} +(5-1)^{2} =25+16=41$ ≠ 43, it is false

d) 8 : 113

$8 = 8^{2} +(8-1)^{2} =64+49=113$, it is true

Hence, the required option is "d) 8 : 113".

Answer 2

Answer:

The required option is "(d) 8 : 113".

We have,

7 : 85

The patter follow,

n = n^{2} +(n-1)^{2}n=n

2

+(n−1)

2

7 = 7^{2} +(7-1)^{2} =49+36=857

2

+(7−1)

2

=49+36=85

Check options:

a) 3 : 31

3 = 3^{2} +(3-1)^{2} =9+4=133=3

2

+(3−1)

2

=9+4=13 ≠ 31, it is false

b) 2 : 9

2 = 2^{2} +(2-1)^{2} =4+1=52=2

2

+(2−1)

2

=4+1=5 ≠ 9, it is false

c) 5 : 43

5 = 5^{2} +(5-1)^{2} =25+16=415=5

2

+(5−1)

2

=25+16=41 ≠ 43, it is false

d) 8 : 113

8 = 8^{2} +(8-1)^{2} =64+49=1138=8

2

+(8−1)

2

=64+49=113 , it is true

Hence, the required option is "d) 8 : 113".

Step-by-step explanation:

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