Question

Which of the following options has the ascending order of the numbers 300, 129, 281 and 229 correctly given?

• A. $129<281<229<300$
• B. $129<229<281<300$
• C. $129<229<300<281$
• D. $300<281<229<300$

Answer 1

The correct option is B $129<229<281<300$

Since the numbers have the same number of digits, we compare the place value of individual digits.

$\begin{array}{cccc}\text{Number}& \text{Number of}& \text{Number of}& \text{Number of}\\ & \text{hundreds}& \text{tens}& \text{ones}\\ 300& 3& 0& 0\\ 129& 1& 2& 9\\ 281& 2& 8& 1\\ 229& 2& 2& 9\end{array}$

Greater the number of hundreds, greater is the number.
$\therefore 129<281,229<900$

We now have to compare 281 and 229.
281 has 8 tens and 229 has 2 tens. Since 8 is greater than 2, we have 281 to be greater than 229.

$\therefore 129<229<281<900$