Categories

# [Smart Math] Ratio Proportion Problem 55

Here’s and example of a SMART MATH problem for RATIO PROPORTION.

### Problem

What is two fifth of one tenth of three eight of nine eleventh?

1. $\frac{27}{2100}$
2. $\frac{26}{2200}$
3. 1
4. $\frac{54}{4400}$
5. $\frac{11}{2100}$

### The Usual Method

$\frac{2}{5}\times \frac{1}{10}\times \frac{3}{8}\times \frac{9}{11}=\frac{54}{4400}$

(Ans: 4)

Estimated Time to arrive at the answer = 45 seconds.

(Note: The time it takes to do the arithmetical operations can differ based on the individual’s ability to multiply the numbers accurately.)

### Using Technique

$\frac{2}{5}\times \frac{1}{10}\times \frac{3}{8}\times \frac{9}{11}$ = a number whose denominator is a multiple of 110 (10 x 11) and the numerator is a multiple of 27 (9 x 3). With these two conditions you can eliminate all options except ‘4’.