Question 78

Which number will best complete the relationship given below?
120 : 168 :: 288 : ?

Solution

Relation between 120 and 168

Prime number $$ 11^2-1=121-1=120 $$

Prime number $$ 13^2-1=169-1=168 $$

Similarly,

Prime number $$ 17^2-1=289-1=288 $$

Consecutive prime number, $$ 19^2-1=361-1=360 $$

120:168::288:360

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Which number will best complete the relationship given below?120 : 168 :: 288 : ?