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Question

If ∣∣ ∣∣abcmnpxyz∣∣ ∣∣=k, then ∣∣ ∣∣6a2b2c3mnp3xyz∣∣ ∣∣=?

A
k6
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B
2k
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C
3k
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D
6k
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Solution

The correct option is D 6k
∣ ∣abcmnpxyz∣ ∣ = k, Then,
∣ ∣6a2b2c3mnp3xyz∣ ∣ = ?

In 1st Column,3 is common.So,

∣ ∣6a2b2c3mnp3xyz∣ ∣ = 3 X ∣ ∣2a2b2cmnpxyz∣ ∣

In 1st Row, 2 is common. So,

3 X ∣ ∣2a2b2cmnpxyz∣ ∣ = 6 X ∣ ∣abcmnpxyz∣ ∣ = 6k




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