0% 0 votes, 0 avg 0 Total Time: 10 minutes Your time is over! Try again. Bangladesh Bank Officer General - 2022 বাংলাদেশ ব্যাংকের অফিসার জেনারেল - ২০২২ এর গণিত প্রশ্ন ব্যাংক এবং ব্যাখ্যা সহ সমাধান। পরীক্ষা শেষ করার জন্য আপনার কাছে ৩০ মিনিট সময় থাকবে এবং আপনি যদি নির্দিষ্ট সময়ের মধ্যে কোনো প্রশ্নের উত্তর না দেন তবে তা ভুল বলে বিবেচিত হবে। কুইজে পাস করার জন্য আপনাকে ন্যূনতম ৫০% নম্বর পেতে হবে। পরীক্ষায় অংশগ্রহণ করতে "START" বোতাম টিপুন। Profit and loss 1 / 20 X sells an item to Y at a profit of 28% on his cost and Y sells the same item to Z at a loss of 25% on his cost. If Y thus sold the item to Z a Tk. 2 less than the item to X, then what is the cost of the item to X? TK. 50 TK. 200 TK. 150 TK. 100 Oops! Your answer is wrong. Wow! Your answer is correct. Explanation:Let, The cost price of X = 100xSo, the cost price of Y = 128xand the cost price of Z = 128x - 128x × (25/100) = 96xATQ, 100x - 96x = 2or, x = 0.5Therefore, the cost price of X = 100x = 100 × 0.5 = 50 2 / 20 212+212+212+212 =? 248 249 216 214 Oops! Your answer is wrong. Wow! Your answer is correct. Explanation:212+212+212+212= 4.212= 22.212= 22+12= 214 Basic Concept 3 / 20 There are two numbers where the sum of twice the first number and thrice the second number is 100. And the sum of thrice the first number and twice the second number is 120. Which is the largest number? 32 12 35 14 Oops! Your answer is wrong. Wow! Your answer is correct. Explanation:2x + 3y = 100 .... (1)3x + 2y = 120 .... (2)Multiply by 3 in Equation (1) and multiply by 2 in Equation (2) and then subtract6x + 9y = 3006x + 4y = 240Or, 5y = 60Or, y = 12Therefore, x = 32 Average 4 / 20 The average temperature for the first 4- days of a week is 40.2-degree Celsius and that of the last 4 days is 41.3-degree Celsius If the average temperature for the whole week is 40.6-degree Celsius then the temperature on the fourth day is - 41.3 Degree Celsius 41.8 Degree Celsius 38.5 Degree Celsius 40.8 Degree Celsius Oops! Your answer is wrong. Wow! Your answer is correct. Explanation: Temperature on the fourth day = [(40.2 × 4 + 41.3 × 4) - (40.6 × 7)] ° C = 41.8° C Probability 5 / 20 In a group of buffaloes and ducks, the number of legs is 24 more than twice the number of heads. What is the number of buffaloes? 6 8 10 12 Oops! Your answer is wrong. Wow! Your answer is correct. Explanation:Let the number of buffaloes be x and the number of ducks be y.Each buffalo has 1 head & 4 legs.Each duck has 1 head & 2 legs.So, the number of heads = x + y and the number of legs = 4x + 2y.So, by the given condition,4x + 2y = 2(x + y) + 24⇒ 4x − 2x + 2y − 2y = 24⇒ 2x = 24⇒ x = 12 Unitary method 6 / 20 An employee may claim Tk. 7 for each kilometer when he travels by taxi and Tk. 6 for each kilometer when he drives his own car. If in one week he claimed Tk. 900 for traveling 135 km, how many kilometers did he travel by taxi? 100 km 120 km 110 km 90 km Oops! Your answer is wrong. Wow! Your answer is correct. Explanation: Let x and y be the respective km's travelled by man via taxi and by his own car.Given x + y = 135 => x = 135 - yBut according to the question,7x + 6y = 9007(135-y) + 6y = 900=> 945 - 7y + 6y = 900=> y = 945 - 900= 45=> x = 135 - 45 = 90Therefore, the distance traveled by taxi is 90 km. Average 7 / 20 In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, then the present age of B is 39 years 49 years 19 years 29 years Oops! Your answer is wrong. Wow! Your answer is correct. Explanation: Let, B's present age is x year & 10 years ago he was (x - 10)After 10 years, A = 2((x - 10), B = (x + 10)Now, 2(x + 10) - (x + 10) = 9Or, x = 39 8 / 20 If (3x + 2y) = 8 and (2x - 2y) = 2, then find the value of (4 - 3x) -2.5 -2 3 1.5 Oops! Your answer is wrong. Wow! Your answer is correct. Explanation:3x + 2y = 8 ... ... ...(i)2x - 2y = 2 ... ... ...(ii)Adding equation (i) and (ii) we have5x = 10Or, x = 2Therefore, 4 – 3 × 2 = -2 Train & Speed 9 / 20 A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train. 60 km/hr 30 km/hr 50 km/hr 40 km/hr Oops! Your answer is wrong. Wow! Your answer is correct. Explanation: Given distance=360 km.Let the speed of the train be x km/hr.Speed when increased by 5 km/hr =(x+5) km/hrATQ,360/x − 360/(x+5) = 1Or, x2 + 5x − 1800 = 0Or, x2 + 45x − 40x − 1800 = 0Or, x (x + 45) − 40(x + 45) = 0Or, (x − 40) (x + 45) = 0Or, x = 40, −45The speed of the train is 40 km/hr. Ratio & Proportion 10 / 20 In the figure, DE is parallel to BC. If the area of a triangle ADE is half that of trapezoid DECB, what is the ratio of AE to AC? 1: 3 1: √2 1: √3 1: 2 Oops! Your answer is wrong. Wow! Your answer is correct. Explanation:Now, ∆ABC = 3∆ADEOr, ADE/ABC = 1/3 = AE2/AC2Or, AE: AC = 1: √3 11 / 20 Which of the following is not equal to 0.0675? 0.625 × 10-1 0.00625 × 102 6.75 × 10-2 67.5 × 10-3 Oops! Your answer is wrong. Wow! Your answer is correct. Explanation: 0.0675 can write = 67.5 × 10-3= 6.75 × 10-2= 0.675 × 10-1But, 0.00675 × 102 = 0.675. which is not equal 0.0675Thus, the answer is 0.0675 12 / 20 The measurement of a rectangle is 16 feet by 12 feet. What is the area of the smallest circle that can cover this rectangle entirely (so that no part of the rectangle is outside the circle)? 100 sq. ft 100 π sq. ft 128 π sq. ft 192 sq. ft Oops! Your answer is wrong. Wow! Your answer is correct. Explanation:The diameter of circle will be = √ (122 + 162) = 20 mSo, the radius of circle will be = 20/2= 10 mTherefore, area = π × 102 = 100π Simple & Compound interest 13 / 20 The interest charged on a loan is ‘P’, per Tk, 1000 for the first quarter (3 months), and 'Q' per Tk. 1000 for each month after the first quarter. How much interest will be charged for the first year on Tk. 10,000? 10(P + 9Q) 4P + 9Q None of this 10(P + Q) Oops! Your answer is wrong. Wow! Your answer is correct. Explanation: For the first three-month interest of Tk 10000 = 10pFor each month after three-month interest of Tk 10000 = 10 × 9qTotal interest = 10(p + 9q) Percentage 14 / 20 A natural number when increased by 12, equals 160 times reciprocal. The number is- 18 16 8 6 Oops! Your answer is wrong. Wow! Your answer is correct. Explanation:Let, the natural number be xand reciprocal number 1/xATQ, x + 12 = 160 * 1/x⇒ x2 + 12x – 160 = 0⇒ x2 + (20x − 8x) −160 =0⇒ x2 + 20x − 8x – 160 = 0⇒ x (x + 20) −8(x + 20) =0⇒ (x + 20) (x− 8) = 0⇒ x = 8[x≠−20 because it is not a natural number]Hence, the required natural number is 8 Ages 15 / 20 In a family, the father took 1/4 of the cake and had 3 times as much as each of the other members had. The total number of family member is- 7 10 12 3 Oops! Your answer is wrong. Wow! Your answer is correct. Explanation:Father get the cake of 1/4 partRemaining = 1 - 1/4 part = 3/4 partLet, the number of family is xAnother member will get = 1/ (3 × 4) = 1/12 partNow, x/12 = 3/4x = 9Total member = 9 + 1 = 10 16 / 20 The mean of the data set of 1000 items is 5. From each item 3 is subtracted and then each number is multiplied by 2. The new mean will be- 4 7 5 6 Oops! Your answer is wrong. Wow! Your answer is correct. Explanation: The answer is = (5 - 3) × 2 = 4 17 / 20 A man's investment doubles in every 5 years. If he invested Tk. 5,000 in each of the years 2010, 2015, 2020 then what will be the amount received by him in 2025? Tk. 30,000 Tk. 70,000 Tk. 80,000 Tk. 1,50,000 Oops! Your answer is wrong. Wow! Your answer is correct. Explanation:2015: (5000 × 2) + 5000 = 15000tk.2020: (15000 × 2) + 5000 = 35000tk2025: 35000 × 2 = 70000tk Percentage 18 / 20 A school has a total of 90 students. There are 30 students taking Physics, 25 taking English, and 13 taking both. Approximately what percentage of the students is taking either Physics or English? 32 % 47 % 51 % 36 % Oops! Your answer is wrong. Wow! Your answer is correct. Explanation: Students taking physics = 30 (these 30 include those 13 that take both)Students taking English = 25 (these 25 also include those 13)So those that take either physics or English or both = 30 + 25 - 13 = 42.Required percentage = 42/90 × 100 = 47% approx. 19 / 20 A salesman receives daily wage of Tk. 250 and earns a commission of 15% on all sales he makes. How much taka worth of sales does he need to make in order to bring his total daily income of Tk. 1000? TK. 5500 TK. 6000 TK. 5000 TK. 4500 TK. 4500 Oops! Your answer is wrong. Wow! Your answer is correct. Explanation: His regular wage is 250 tk.So, he needs to earn = 1000 - 250 = 750 from commissionLet, he needs to sell TK. X to required amount of commission.ATQ, 15% of X = 750Or, X = 5000 Mensuration 20 / 20 The perimeter of a rectangle is 200 meters. The breadth is 3/7 part of the length. What is the length? 60m 50m 30m 70m Oops! Your answer is wrong. Wow! Your answer is correct. Explanation: Let, length is 7x m and breadth is 3x m.ATQ,2(7x + 3x) = 200⇒ 10x = 100⇒ x = 10So, the length is 7 × 10 = 70 Please enter the required information and tap on the "See Result" button to view your results. Don't worry! Your information will be safe. For details check our Privacy Policy. Your score isThe average score is 0% LinkedIn Facebook Twitter VKontakte 0% Restart quiz Please give a rating and share it with your friends. Send feedback