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Question

If the sum of two numbers p and q is 10 and their difference is 6, then the value of logqp is

A
1
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B
0
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C
1
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D
2
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Solution

The correct option is A 1
Given conditions,
p+q=10(p+q)2=10p2+q2+2pq=10(1)
pq=6p2+q22pq=6(2)
Subtracting equation (2) from (1), we get
4pq=4
pq=1
p=1q
Taking logq on both sides, we get
logqp=logq1q=1


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