CAT 2024 - Slot 3 Quant Question 10
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CAT 2024 Slot 3 - Quant
Taking 10x = a
We get a + 4/a = 81/2
This would give the quadratic equation: 2a2 – 81a + 8 = 0
We want to find the sum of possible values of x, let the value of x be x1 and x2
These would correspond to log a1, and log a2
The sum of log a1 + log a2 would be log (a1 × a2)
From the quadratic equation we got above, we can see that the product of the possible values of a would-be 8/2 = 4
Threfore, the sum of values of x would be log (4) which would be 2 log10 2