Test: Problem Solving- 1 - CUET Commerce MCQ

• In order to find the maximum value of x, we need to put the minimum value of y i.e. 3.
• Now, if we divide 82 by 3, we get 27.33, which means the maximum integer value that x can have must be less than 27.33.
• From the given options, we choose option C which is 27.

• Let suppose that Adam's age is 'A', and Mike's age is 'M'.
• From the statement of the questions, we deduce following two equations.
• A = 2+M and also A²= M²+28 -> A² - M² = 28  
• (A+M)(A-M)=28 and then putting
• A-M=2, we get (A+M) = 14.
• Therefore, the sum of Adam's age and Mike's age is 14.

It's a relatively simple question. Jen has five times the number of apples which Adam has. If Jen has 30 apples, Adam has 30/5=6 apples.

We equate the two equations, find the two points of intersection of the two functions and compute the distance using the distance between points formula.

After equating these two equations, we get x= +2 and x=-2 which gives us y=7, and y=-1. Therefore, we select option E is as our correct answer.

As stated in the question, the work needs to be completed in half the days as compared to the earlier timeline for completion, therefore, the number the workers needs to be doubled.

• We know that Alice has 'a' chocolates.
• Alan has 2a+2 chocolates from the given statement in the question.
• Nadia has double the chocolates as Alan has, so she has 4a+4 chocolates.
• Adding these, we get 4a+4+2a+2+a = 7a +6 .
• So ,Option (d) is correct.

We note that there are three books and each book contains 15 recipes so there are a total of 45 recipes. The probability that he will cook 4th dish from 3rd book today is 1/45. It's important that you must not get distracted by irrelevant information. All the recipes are different from each other.

• We note that the final ratio must be 3:2 for milk and water respectively.
• Now, according to given scenario in the question, we have eight liters of solution with 4 liters milk and 4 liters water, which makes it 2:2.
• In order to make it 3:2, we add 2 liters milk.
• This would make a total of 6 liters milk and 4 liters water i.e. 6:4
• which can be simplified to 3:2.

• Original Price = $330
• Price after 10% discount= 330 * 0.9 = $297
• Price after further 5% discount (for Dell employees) = 297* 0.95 = $282.
• Therefore, Option C.