Number Series Ques 143

Question-

What will come in place of the question mark (?)

$49,57,84, ?, 552$

(1) 98

(2) 102

(3) 209

(4) 213

(5) 188

Show Answer

Correct Answer: (3)

Solution: (3)

The pattern is :

$49+2^{3}=49+8=57$

$57+3^{3}=57+27=84$

$84+5^{3}=84+125=209$

$209+7^{3}=209+343=552$

Note : 2, 3, 5, 7 are consecutive prime numbers.