For some positive real number \( x \), if \( \log_{\sqrt{3}}(x) + \log_x(25) = \log_x(0.008) \), then the value of \( x \) is:
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Breakup G Strategy CAT 2023 Slot 2
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Question 1 of 7
In a right-angled triangle, if the base is 12 cm and the height is 5 cm, then the length of the hypotenuse is:
Minu buys a pair of sunglasses at Rs. 1000 and sells to Kanu at 20% profit. Then, Kanu sells it back to Minu at 20% loss. Finally, Minu sells the same pair of sunglasses to Tanu. If the total profit made by Minu from all her transactions is Rs. 500, then the percentage of profit made by Minu when she sold the pair of sunglasses to Tanu is:
If \( \log_2(x + 12) = 4 \) and \( 3 \log_2 x = 1 \), then \( x + y \) equals:
A lab experiment measures the number of organisms at 8 am every day. Starting with 2 organisms on the first day, the number of organisms on any day is equal to 3 more than twice the number on the previous day. If the number of organisms on the \( n \)-th day exceeds one million, then the lowest possible value of \( n \) is:
In a lab experiment, the number of organisms increases exponentially. On day 1, the number of organisms is 2. What is the number on day 19?
For some positive real number \( x \), if \( \log_{\sqrt{3}}(x) + \log_x(25) = \log_x(0.008) \), then the value of \( x \) is: