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Arithmetic Smart Math

[Smart Math] Arithmetic Problem 16

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

Arithmetic

Problem

\frac{6.5\times 4.7+6.5\times 5.3}{1.3\times 7.9-1.3\times 6.9}=?

  1. 2
  2. 5
  3. 13
  4. 39
  5. 50

The Usual Method

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\frac{6.5\times 4.7+6.5\times 5.3}{1.3\times 7.9-1.3\times 6.9}=\frac{6.5(4.7+5.3)}{1.3(7.9-6.9)}

=5\times \frac{10}{1}=50

(Ans: 5)

Estimated Time to arrive at the answer = 30 seconds.

Using Technique

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Just by observing we see that the numerator has 6.5, which is a multiple of 5 and there is no multiple of 5 in the denominator, so the answer has to be a multiple of 5. This eliminates the options ‘1’, ‘3’ and ‘4’. Also, the numerator has to be significantly higher than the denominator since addition is carried out in numerator and subtraction in denominator. Hence the answer should be higher multiple of 5. Hence option ‘5’.

(Ans: 5)

Estimated Time to arrive at the answer = 5 seconds.
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