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Smart & Time saving Math Solution with Exam Approach of MBA - IBA - DU – Admission Test - 2004-05 - - A car traveled 75% of the way from town A to town B at an average speed of 50 miles/hour. The car travels at an average speed of S miles/hour for the remaining part of the trip. The average speed for the entire trip was 40 miles/hour. What is S? - Maruf, Jasim and Khalil had lunch together. Khalil’s meal cost 50% more than Jashim’s meal and Maruf’s meal cost 5/6 as much as Khalils’s meal. If Jashim paid Tk.1000 for his meal, what was the total that the three of them paid for lunch? - Jalal started work 2 years ago. His starting salary was ½ of Millat’s salary at that time. Each year since then Jalal has received a raise of 5% in his salary and Millat has received a raise of 10% in his salary. What percentage (to the nearest percent) of Millat's current salary is Jalal's current salary? - 70 students are enrolled in Management, Accounting and Marketing, 40 students are in Management, 35 are in Accounting and 30 are in Marketing. 15 students are enrolled in all three courses. How many of the students are enrolled in exactly two of the courses? - In a survey of the people of Chittagong, it was found that 65% of the people surveyed watched the news on television, 40% read a newspaper, and 25% read a newspaper and watched the news on television. What percent of the people surveyed neither watched the news on television nor read a newspaper? - In a room, all except 18 of the people are over 50 years of age. 15 of the people in the room are under 50 years of age. If 10% of the people are at the age of 50 years, how many people are in the room? - Nine pieces of paper numbered consecutively from 1 to 9 are put into a box. If a piece of paper is drawn at random from the box, what is the probability that it will have a number greater than 6? - The cost of four rolls, six samuchas and three loaves of bread is Taka 91. The cost of two rolls, three samuchas and a loaf of bread is Taka 39. What is the cost (in taka) of a loaf of bread? - Recently, Sohan’s hourly wage has been increased by 10 percent. Before this increase, Sohan’s total weekly wage was $137. If his weekly hours were to decrease by 10 percent from last week’s total hours, what would be the change, if any, in Sohan’s total weekly wage? - If 3 less x less 8 and 5 less y less 11, which of the following represents all possible values of xy? - In the figure below the angle POQ is 90 degrees. What is the perimeter of the triangle OPQ? - The following region PQRSTU consists of three-square regions and two triangular regions. If the square regions have areas 16, 36 and 16, what is the perimeter of PQRSTU? - Which of the following has the largest area? Ⅰ. A circle of radius √2 Ⅱ. An equilateral triangle of side 4 Ⅲ. A triangle whose sides are 3, 4 and 5 - In the figure below, each of the circles has radius 4 and the area enclosed by both circles is 28π. What is the area of the shaded region? - - Rahim averaged 70 in his first m number of exams. After taking n more exams, he had an overall average of 75. In terms of m and n, his average for the last n exams was – - If radius of a cylinder is tripled while its height is halved, its volume will be - Which of the following equals x + xy + (x + xy)y? - If the average of 5, 9, k and m is 12, what is the average of k + 7 and m – 3? - The length of a rectangular field X is 2 kilometers greater than the side of square field Y, and the width of field X is 2 kilometers less than the side of field Y. If y2 is the area of field Y in square kilometers, which of the following gives the area, in square kilometers, of field X? - If x, y and z are consecutive integers and x less y less z, which of the following must be true? - This year, a city has allotted 60 percent of its budget for school expenditures, and its budget is 15 percent higher than last year's budget of n dollars. In terms of n, how many dollars of this year's budget has the city allotted for school expenditures? - If the radius of a circle is decreased by 30 percent, by what percent will the area of the circular region be decreased? - - Rini lives 4 kilometers due west of Panna’s house. Anni lives 6 kilometers due north of Panna's house and 4 kilometers due west of David's house. What is the straight-line distance, in kilometers, from Rini's house to David's house? - The average of a set of 12 numbers, which includes 34, is N. If 34 is removed from the set and 38 is added to the set, what is the average of the new set of numbers? - If the area of a rectangular is equal to the area of a square, then the perimeter of the rectangular must be – - If x + y = z and x and y are positive, then which of the following statements can be inferred? - -