CAT2007 Related Question Answers
26. For a recuperating patient, the doctor recommended a diet containing 10% minerals and at least 30% protein. In how many different ways can we prepare this diet by mixing at least two ingredients?
27. Which among the following is the formulation having the lowest cost per unit for a diet having 10% fat and at least 30% protein? The diet has to be formed by mixing two ingredients.
28. In what proportion P, Q and S should be mixed to make a diet having at least 60% carbohydrate at the lowest per unit cost?
29. The company is planning to launch a balanced diet required for growth needs of adolescent children. This diet must contain at least 30% each of carbohydrate and protein, no more than 25% fat and at least 5% minerals. Which one of the following combinations of equally mixed ingredients is feasible?
30.
Directions for the following four questions:Each question is followed by two statements, A and B. Answer each question using the following instructions:In a particular school, sixty students were athletes. Ten among them were also among the top academic performers. How many top academic performers were in the school?A. Sixty per cent of the top academic performers were not athletes.B. All the top academic performers were not necessarily athletes.
31.
Directions for the following four questions:Each question is followed by two statements, A and B. Answer each question using the following instructions:Five students Atul, Bala, Chetan, Dev and Ernesto were the only ones who participated in a quiz contest. They were ranked based on their scores in the contest. Dev got a higher rank as compared to Ernesto, while Bala got a higher rank as compared to Chetan. Chetan’s rank was lower than the median. Who among the five got the highest rank?A. Atul was the last rank holder.B. Bala was not among the top two rank holders.
32.
Directions for the following four questions:Each question is followed by two statements, A and B. Answer each question using the following instructions:Thirty per cent of the employees of a call centre are males. Ten per cent of the female employees have an engineering background. What is the percentage of male employees with engineering background?A. Twenty five per cent of the employees have engineering background.B. Number of male employees having an engineering background is 20% more than the number of female employees having an engineering background
33.
Directions for the following four questions:Each question is followed by two statements, A and B. Answer each question using the following instructions:In a football match, at the half-time, Mahindra and Mahindra Club was trailing by three goals. Did it win the match?A. In the second-half Mahindra and Mahindra Club scored four goals.B. The opponent scored four goals in the match.
34.
Directions for the following four questions:Answer the following questions based on the information given below.The following table shows the break-up of actual costs incurred by a company in last five years (year 2002 to year 2006) to produce a particular product.
The production capacity of the company is 2000 units. The selling price for the year 2006 was Rs. 125 per unit. Some costs change almost in direct proportion to the change in volume of production, while others do not follow any obvious pattern of change with respect to the volume of production and hence are considered fixed. Using the information provided for the year 2006 as the basis for projecting the figures for the year 2007, answer the following questions:What is the approximate cost per unit in rupees, if the company produces and sells 1400 units in the year 2007?
35. What is the minimum number of units that the company needs to produce and sell to avoid any loss?
36. If the company reduces the price by 5%, it can produce and sell as many units as it desires. How many units the company should produce to maximize its profit?
37. Given that the company cannot sell more than 1700 units, and it will have to reduce the price by Rs.5 for all units if it wants to sell more than 1400 units. What is the maximum profit that can be realized provided that the company sells more than 1400 units?
38.
DIRECTIONS for the following four questions:The proportion of male students and the proportion of vegetarian students in a school are given below. The school has a total of 800 students, 80% of whom are in the Secondary Section and rest equally divided between Class 11 and 12.
What is the percentage of male students in the secondary section?
39. In Class 12, twenty five per cent of the vegetarians are male. What is the difference between the number of female vegetarians and male non-vegetarians?
41. In the Secondary Section, 50% of the males are vegetarian. Which of the following statements is correct?
42. A US citizen is hurt in an accident and requires an angioplasty, hip replacement and a knee replacement. Cost of foreign travel and stay is not a consideration since the government will take care of it. Which country will result in the cheapest package, taking cost of poor quality into account?
43. Taking the cost of poor quality into account, which country/countries will be the most expensive for knee replacement?
44. Approximately, what difference in amount in Bahts will it make to a Thai citizen if she were to get a hysterectomy done in India instead of in her native country, taking into account the cost of poor quality? It costs 7500 Bahts for oneway travel between Thailand and India.
45. The rupee value increases to Rs.35 for a US Dollar, and all other things including quality, remain the same. What is the approximate difference in cost, in US Dollars, between Singapore and India for a Spinal Fusion, taking this change into account?
46.
DIRECTIONS for the following four questions:A low-cost airline company connects ten India cities, A to J. The table below gives the distance between a pair of airports and the corresponding price charged by the company. Travel is permitted only from a departure airport to an arrival airport. The customers do not travel by a route where they have to stop at more than two intermediate airports.
What is the lowest possible fare, in rupees, from A to J?
47. The company plans to introduce a direct flight between A and J. The market research results indicate that all its existing passengers travelling between A and J will use this direct flight if it is priced 5% below the minimum price that they pay at present. What should the company charge approximately, in rupees, for this direct flight?
48. If the airports C, D and H are closed down owing to security reasons, what would be the minimum price, in rupees, to be paid by a passenger travelling from A to J?
49. If the prices include a margin of 10% over the total cost that the company incurs, what is the minimum cost per kilometer that the company incurs in flying from A to J?
50. If the prices include a margin of 15% over the total cost that the company incurs, which among the following is the distance to be covered in flying from A to J that minimizes the total cost per kilometer for the company?
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