Getting Better at CAT Quant

Getting Better at CAT Quant

Improving CAT Quant Skills requires practice and solving a variety of quantitative problems. Let’s solve the following question:

A rabbit is on a controlled diet and is fed a daily mixture of two foods, food X and food Y. The rabbit’s diet provides 300 grams of this mixture per day. Food X contains 10 percent protein, while food Y contains 15 percent protein. The rabbit’s diet provides exactly 38 grams of protein daily. We need to determine how many grams of food X are in the mixture.

To solve this problem, we start by setting up equations based on the given information. Let’s assume that x grams of food X are in the mixture. Therefore, the remaining grams of food Y in the mixture would be (300 – x) grams.

The protein content of food X can be calculated by multiplying 10 percent (0.10) by x grams. Similarly, the protein content of food Y can be calculated by multiplying 15 percent (0.15) by (300 – x) grams.

According to the given information, the rabbit’s diet provides exactly 38 grams of protein daily. Therefore, we can set up the following equation:
0.10x + 0.15(300 – x) = 38

To solve this equation, we can simplify it as follows:
0.10x + 45 – 0.15x = 38
0.05x = 38 – 45
0.05x = -7
x = -7 / 0.05
x = -140

From the obtained value of x, we can infer that there are -140 grams of food X in the mixture. However, this does not make logical sense, as the weight of food cannot be negative. We need to reconsider our initial assumptions.

By re-evaluating the problem, we realize that food X must be present in a quantity that is less than or equal to 300 grams (as it is part of the 300-gram mixture). Hence, we can conclude that the weight of food X in the mixture is a positive value.

From the given answer choices, the only option that satisfies this condition is (B) 140 grams. Therefore, we can conclude that there are 140 grams of food X in the mixture.

Remember that practicing a variety of quantitative problems, like the one above, will help you improve your CAT Quant skills. Keep practicing and seeking help when needed to enhance your problem-solving abilities.

Meanwhile, Check out the list of Best CAT Coaching in other cities

Are you looking to excel in the prestigious Common Admission Test (CAT) exam in cities beyond the usual hotspots? We’ve compiled a list of the best CAT academies in various cities that provide top-notch guidance and support to CAT aspirants. Whether you’re in bustling metropolises like Mumbai, Kolkata, or Chennai or in smaller but equally promising cities like Jaipur, Ahmedabad, or Chandigarh, these coaching institutes offer comprehensive courses and expert faculty to help you achieve your dream of cracking the CAT exam.

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