Number Series Ques 207

Question-

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

$147 \quad 148 \quad 153 \quad 167 \quad 197 \quad$ ?

(1) 242

(2) 262

(3) 282

(4) 252

(5) None of these

Show Answer

Correct Answer: (4)

Solution: (4)

The pattern is :

$147+1^{2}=148$

$148+1^{2}+2^{2}=148+5=153$

$153+1^{2}+2^{2}+3^{2}$ $=153+14=167$

$167+1^{2}+2^{2}+3^{2}+4^{2}$ $=167+30=197$

$197+30+5^{2}=197+55=$ 252