Select the number-pair in which the two numbers are related in the same way as are the two numbers of the following number-pair:

9 : 49

Given number pair 9:49

Logic: The given numbers are squares of prime numbers and alternative.

​9:49​

9 = 3² (where 3 is a prime number)

49 = 7² (where 7 is a prime number)​

Check each options:

64 = 8² (8 is not a prime)

81 = 9²(9 is not a prime)

9=3² (3 is a prime)

16=4²(4 is not a prime)

4 =2² (2 is a prime)

78   (is not a perfect square).

121=11² (11 is a prime)

289 = 17² (17 is a prime) (follows the same pattern of squares of prime numbers.)​

Thus, the correct option is: (d) 121:289