Question : The number $334 \times 545 \times 7p$ is divisible by $3340$ if $p$ is at least:
Option 1: 2
Option 2: 4
Option 3: 3
Option 4: 1
Correct Answer: 2
Solution :
Given: The number $334 × 545 × 7p$ is divisible by $3340$.
$\frac{334 × 545 × 7p}{3340}$
= $\frac{334 × 545 × 7p}{334×10}$
= $\frac{109 × 7p}{2}$
After going through the options we get,
$p$ = 2
Hence, the correct answer is 2.
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