IBA - MBA (DU) – Admission Test - 2003-04 || Smart Math Solution || скачать в хорошем качестве

IBA - MBA (DU) – Admission Test - 2003-04 || Smart Math Solution ||

Smart & Time saving Math Solution with Exam Approach of MBA - IBA - DU – Admission Test - 2003-04 - - Q-1) Which of the following CANNOT be expressed as the sum of the squares of two integers? (A) 13 (B) 17 (C) 21 (D) 29 (E) 34 - Q-2) If AB = BX and XC = CD in the figure above, what is s in terms of p and r? (A) 180 – 2(p + r) (B) p + r – 90 (C) 2(p + r) (D) p + r (E) None of these - Q-3) If n is an integer divisible by 6 but not by 4, then which of the following CANNOT be an integer? (A) n/2 (B) n/3 (C) n/6 (D) n/10 (E) n/12 - Q-4) How many positive integers less than 20 are equal to the sum of a positive multiple of 3 and a positive multiple of 4? - Q-5) If the sales tax on appliance priced at Tk.300 is between 5 percent and 8 percent, then the cost (price plus sales tax) of the appliance can be - (A) 310 (B) 312 (C) 314 (D) 318 (E) 325 - Q-6) A circle with radius 2 is intersected by a line at points R and T. The maximum possible distance between R and T is – (A) 1 (B) 2 (C) ℼ (D) 4 (E) 4ℼ - Q-7) Which of the following is the product of two positive integers whose sum is 3? (A) 0 (B) 1 (C) 2 (D) 3 (E) 4 - Q-8) Streets L, M and N are straight and level, and they intersect to form a triangle. If streets L & M intersect at a 40˚ angle and if street N is perpendicular to street M, at what acute angle do streets L & N intersect? (A) 30˚ (B) 35˚ (C) 40˚ (D) 45˚ (E) 50˚ - Q-9) The figure below shows the floor dimensions of an L-shaped room. All angles shown are right angles. If carpeting costs Tk.1200 per square meter, what will carpeting for the entire floor of the room cost? - Q-10) A certain machine fills a bag with 7 ounces of potato chips in 3.5 seconds. At this rate how many seconds will it take the machine to fill a bag with 15 ounces of potato chips? - Q-11) If the length of the longest side of the triangle shown below is 36, what is the perimeter of the triangle? - Q-12) If one number exceeds another number by 13 and the larger number is 3/2 times the smaller number, then the smaller number is - - Q-13) City B is 5 miles east of City A. City C is 10 miles southeast of City B. Which of the following is the closest distance from City A to City C? (A) 12 miles (B) 13 miles (C) 14 miles (D) 15 miles (E) None of these - Q-14) If the area of a square increases by 69%, then the side of the square increases by – - Q-15) If the value of certain fraction is equal to 0.4 and the denominator of the fraction is 15, then the numerator of the fraction is – - Q-16) A circular region has circumference c inches and area k square inches. If c = 3k, what is the radius of the circle in inches? - Q-17) A shop sold a pair of shoes for Tk.1600.00 and a pair of sandals for Tk.960.00. It made a profit of 20% on shoes and took a 10% loss on sandals. The shop made a – - Q-18) The difference between the sum of two numbers and the difference of the two numbers is 6. Find the larger of the two numbers if their product is 15. (A) 3 (B) 5 (C) 17 (D) 20 (E) 23 - Q-19) The figure below is an equilateral triangle divided into four congruent, small equilateral triangles. If the perimeter of a smaller triangle is 1, what is the perimeter of the larger triangle? (A) 2 (B) 4 (C) 6 (D) 8 (E) 16 - Q-20) The ratio of girls to boys in a class is 8:7. The number of students in the class could be any of the following except – (A) 30 (B) 45 (C) 50 (D) 60 (E) 90 - Q-21) What is the area of trapezium in the figure below? (A) 10.5 (B) 14.5 (C) 16.5 (D) 21 (E) cannot be determined - Q-22) If ½ of a number is 3 less than ¾ of the number, what is that number? (A) 4 (B) 8 (C) 12 (D) 24 (E) 332 - Q-23) An oddly shaped rock having uniform density and weighing 64 grams is broken into two pieces. One of the two pieces weighs 48 grams and has a volume of 33 cc. What is the volume of the original rock? (A) 11 (B) 22 (C) 33 (D) 44 (E) 66 - Q-24) If y/3, y/4 and y/7 represent integers, then y can be – (A) 42 (B) 56 (C) 70 (D) 84 (E) 126 - Q-25) Points A and B have coordinates as shown in the figure. Find the combined area of the two shaded rectangles. (A) 20 (B) 26 (C) 32 (D) 35 (E) 87 - Q-26) In the figure below, the circle is inscribed in the equilateral triangle. If the diameter of the circle is 2, what is the sum of the shaded area? (A) 3√3 - ℼ (B) 3√3 - 4ℼ (C) (3√3 - 3ℼ)/2 (D) (6√3 - 3ℼ)/2 (E) 180 - ℼ - Q-27) How many of the integers between 110 and 120 are prime numbers? (A) 0 (B) 1 (C) 2 (D) 3 (E) 4 - Q-28) If the product of 3 consecutive integers is 120, then the sum of the integers is – (A) 9 (B) 12 (C) 14 (D) 15 (E) 18 - Q-29) A car is traveling on a highway. At 10 A.M., it passes a truck traveling in the same direction. The truck continues on the highway traveling at 50 mph while the car travels at 65 mph. How far apart are the car and truck at 2 P.M.? - Q-30) A piece of rope is lying on a horizontal line. One of its ends is at coordinate - 4 and other is at coordinate 7. What is the length of the rope? - -