CAT 2025 Question Paper | Quant Slot 2

CAT Questions

CAT 2025 Quant was dominated by Algebra followed by Arithmetic. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 17 : A mixture of coffee and cocoa, 16% of which is coffee, costs Rs 240 per kg. Another mixture of coffee and cocoa, of which 36% is coffee, costs Rs 320 per kg. If a new mixture of coffee and cocoa costs Rs 376 per kg, then the quantity, in kg, of coffee in 10 kg of this new mixture is

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Video Explanation

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Explanatory Answer

Mixture 1: 16% coffee → Rs. 240/kg
Mixture 2: 36% coffee → Rs. 320/kg

Increasing coffee proportion by 20% increases price by \(320-240=80\).
Therefore, a 100% shift from cocoa to coffee changes the price by:
Coffee Price − Cocoa Price \(=\frac{80}{0.20}=400\)

Price increase from 36% coffee (Rs. 320) to Rs. 376 is:
\(376-320=56\)

Additional proportion of coffee required:
\[ \frac{56}{400}=0.14=14\% \]

Total coffee percentage in the new mixture:
\(36\%+14\%=50\%\)

Calculate the quantity of coffee in 10 kg of the mixture
Coffee in 10 kg = 50% of 10 kg = 5 kg

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The answer is '5'

Choice 4 is the correct answer.

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