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বাংলাদেশ বিনিয়োগ উন্নয়ন কর্তৃপক্ষ Bangladesh Investment Development Authority (BIDA) Post: Assistant Director Exam Date: 26.12.2025 Exam organizer: IBA - DU MCQ Math Solution === Q-1) If x less 10 and 2x − 3y = 8, which of the following must be true? A) y less 4 B) y less 6 C) y greater 5 D) y = 5 E) None - Q-2) In a class, 1/4 of the male students is equal to 3/5 of the female students. What fraction of the students in the room is female? A) 4/15 B) 7/20 C) 5/17 D) 8/21 E) None - Q-3) If x⁴ less or equal 16 and y² less or equal 36, then the maximum possible value of (x − y) is: A) −4 B) 4 C) 6 D) 8 E) None - Q-4) If 3x/4 = 1, then x is greater than 3/4 approximately by what percent? A) 58 B) 62 C) 78 D) 80 E) None - Q-5) The price of a mobile set is Tk 8,000 and that of a tab is 50% more than the price of a mobile set. If a total of 18 mobiles and tabs were sold for a total of Tk 188,000, how many tabs were sold? A) 9 B) 11 C) 13 D) 14 E) None - Q-6) When the positive integers x and y are divided by the positive integer z, they yield remainders 12 and 22, respectively. If (x + y) is divided by z, the remainder is 6. What is the value of z? A) 12 B) 15 C) 24 D) 28 E) None - Q-7) A rectangular block measuring 8 cm by 12 cm by 16 cm is cut into an exact number of cubes of equal size. What will be the least possible number of cubes? A) 6 B) 11 C) 15 D) 24 E) None - Q-8) Which of the following is the smallest given that x greater y greater 1? A) x/y B) (x+2)/(y+2) C) (x+1)/(y+1) D) (x+1)/y E) xy - Q-9) Apu was assigned to do 2 similar tasks. He completes the second task in two-thirds the time it takes him to complete the first task. If it took him an hour to complete both the tasks, in how many minutes did he complete the second task? A) 20 B) 24 C) 30 D) 36 E) None - Q-10) A box contains 400 marbles, of which 40% are blue. You pick some marbles of which 25% are blue. Of the remaining marbles, 50% are blue marbles. How many marbles did you pick? A) 130 B) 140 C) 150 D) 160 E) None - Q-11) The price of an item was increased by 20% and then was reduced by 25% the next day. Which of these can be the new price of the item in Tk if all prices are integer? A) 300 B) 325 C) 450 D) 475 E) None - Q-12) If the average of four consecutive odd integers is x, then in terms of x, which is the smallest among the following options? A) x – 3 B) 0.25x – 2 C) x – 4 D) x − 2.5 E) None - Q-13) How many litres of water should be added to a 65 litre mixture of milk and water containing milk and water in the ratio of 8 : 5 such that the resultant mixture contains 50% water? A) 15 B) 20 C) 22 D) 25 E) None - Q-14) When a positive integer X is divided by Y, the quotient is 11 and the remainder is 5. When X is divided by (Y + 3), the quotient is 9 and the remainder is 2. What is the value of X? A) 137 B) 151 C) 163 D) 172 E) None - Q-15) While on a holiday, X persons have decided to rent a van. The rent of the van is Tk D and each person is to pay an equal share. If Y persons cancel their trip, which of the following represents the additional amount of Tk per person that each remaining person must pay in order to still rent the van? A) YD/(X(X - Y)) B) D/(X - Y) C) YD/(X - Y) D) YD E) None - Q-16) If x is equal to 2 more than the product of 4 and z, and y is equal to 3 less than the product of 5 and z, then 3x is how much greater than 2y when z is 3? A) 12 B) 15 C) 18 D) 20 E) None - -