Question

$358099143$

Answer 1

Here, the rule which is applicable on the series: 35 80 99 143 is rule A: Divide the number by 2 and add the square of the quotient to the number as:
i) Start with the number 10.
$10÷2=5$. So, quotient is 5.
Now, $5^2+10=35$
ii) Take the next number 16.
$16÷2=8$. So, quotient is 8.
Now, $8^2+16=80$
iii) Take the next number 18.
$18÷2=9$. So, quotient is 9.
Now, $9^2+18=99$
iv) Take the next number 22.
$22÷2=11$. So, quotient is 11.
Now, ${11}^2+22=143$
Hence, rule (A) is the correct answer.