Quantitative and Data Interpretation and Sufficiency

 

49.  The missing numbers in the below series would be 1:1, 8:4, 9:27, 64:16, 25:125, ?:?, 49:343,

a.    36:316                        b.    216:36                        c.    316:16                        d.    32:316

 

Solution:

In each pair the square of a number and its cube are taken. For odd numbers the order is n2 : n3 and for the even numbers the order is n3 : n2

\ 216 : 36 is the required pair.                                                                                                                                                                                                                                     Choice (b)