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Question

# James has to solve the given expression in the easiest way. The approach he should take is

A
Approach 1
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B
Approach 2
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C
Approach 3
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Solution

## The correct option is C Approach 3Calculating the expression through each approach, we find: Approach 1: (23×413)×92 Multiply the first two terms: 23×413=2×43×13=839 Now, 839×92=8×939×2=7278=72÷678÷6=1213 Approach 2: (413×92)×23 Multiply first two terms: 413×92=4×913×2=3626=36÷226÷2=1813 Now, 1813×23=18×213×3=3639=36÷339÷3=1213 Approach 3: (23×92)×413 Multiply first two terms: 23×92=2×93×2=186=31 Now, 31×413=1213 ∴The easiest approach to calculate the given expression is approach 3.

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