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Arithmetic Smart Math

[Smart Math] Arithmetic Problem 19

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

Arithmetic

Problem

\frac{4}{4+\frac{0.4-4.04}{4\times 0.91}}=?

  1. 1.3
  2. 3.7
  3. 16
  4. 4.5
  5. 5.6

The Usual Method

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Simplifying the expression we get:

\frac{4}{4+\frac{0.4-4.04}{4\times 0.91}}=\frac{4}{4+\frac{\left( -3.64 \right)}{3.64}}=\frac{4}{4-1}=\frac{4}{3}=1.33

(Ans: 1)

Estimated Time to arrive at the answer = 45 seconds.

Using Technique

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Observe that the term (0.4 – 4.04) will yield a negative value. Hence the term \left( \frac{0.4-4.04}{4\times 0.91} \right) will also be negative number slightly more than 1. Hence, 4 + (some negative number slightly more than 1) = a number slightly less than 4 = x

Hence, \frac{4}{x} will yield a value slightly more than 1. Hence option ‘1’.

(Ans: 1)

Estimated Time to arrive at the answer = 10 seconds.
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