ExplanationEasiest way to do this is to find the smallest multiple of 11 over hundred and the largest below 500.

So in the calculator do \(\frac{100}{11}= 9.09\). So the 10th multiple of 11 must be greater than 100. We know that the 10th multiple of 11 is 110.

Similarly we do \(\frac{500}{11}= 45.45\). Hence the 45th multiple of 11 is smaller than 500. We know that 45th multiple of 11 is 495.

Hence number of multiples of 11 between 100 and 500 is 45 -10 + 1 = 36.

Remember to add 1 as both 10th multiple and 45th multiple is counted.

Hence both quantities are equal. Thus C is the correct answer.
_________________

Sandy

If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test