0% 0 votes, 0 avg 0 Total Time: 10 minutes Your time is over! Try again. Bangladesh Bank Assistant Director - 2022 বাংলাদেশ ব্যাংকের সহকারী পরিচালক - 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। পরিমিতি (Mensuration) 1 / 20 If x/y = 1/3, then value of (x^{2 }+ y^{2}) / (x ^{2}− y^{2}) is- -10/9 -5/4 -5/3 5/4 -5/3 Oops! Your answer is wrong. Wow! Your answer is correct. Explanation:Given, x/y = 1/3Or, x^{2} / y^{2} = 1/9Or, (x^{2 }+ y^{2}) / (x ^{2}− y^{2}) = (1 + 9)/ (1 - 9)Or, (x^{2 }+ y^{2}) / (x ^{2}− y^{2}) = -5 / 4 Compound Interest 2 / 20 The angles of a triangle are in the proportion of 1:2:3 and the length of the smallest side is 1 cm. What is the length of the longest side of the triangle? 3 cm 2 cm 4 cm 5 cm Oops! Your answer is wrong. Wow! Your answer is correct. Explanation:Let, angles are x, 2x, 3x.We have,x + 2x + 3x = 180 degreesor, 6x = 180or, x = 180/6or, x = 30 degreesThe right triangle has vertices A, B, and C of 30, 60, and 90 degrees.A = 30, B = 60, C = 90 degreesThe smallest side is opposite of 30 degrees (A) = BC = 1 cmThe longest side is hypotenuse opposite of 90 degrees (C) = ABNow triangle ABC, we havesin30^{0 }= 1/AB1/2 = 1/ABAB = 2 সমীকরণের প্রয়োগ (Application of Equation) 3 / 20 Mr. X had Tk. 1000 in his savings account. Every month in the first week he needs money, so he withdraws Tk. 500, but by the end of the month, he deposits Tk. 750. After how many months, the original amount will grow three times? 7 months 8 months 6 months 9 months Oops! Your answer is wrong. Wow! Your answer is correct. Explanation:Let, n be the no. of monthWe have,Initial deposit - n× Monthly Withdrawal + n × Monthly Deposit = Initial Deposit × 3Or, 1000 - n × 500 + n×750 = 3000Or, 250 × n = 2000Therefore, n = 8 month Percentage 4 / 20 A passenger paid 50% customs duty on accompanied baggage items. He paid another 20% sales tax on the total value of the items plus the customs duty paid. The total custom duty and sales tax is Tk. 350. what is the value of the item's custom duty and sales tax? Tk. 450 Tk. 400 None these Tk. 450 Tk. 500 Oops! Your answer is wrong. Wow! Your answer is correct. 5 / 20 The average of 10 numbers is 40.2. Later it is found that two numbers have been wrongly added. The first one is 18 greater than the actual number and the second number added is 13 instead of 33. Find the correct average - 40.2 40.8 40.6 40.4 Oops! Your answer is wrong. Wow! Your answer is correct. Explanation:According to the question,Sum = (40.2 × 10 - 18 + 33 - 13) = 404Correct Average = 404/10 = 40.4 পরিমিতি (Mensuration) 6 / 20 A square room has a square carpet symmetrically placed in it. This leaves an uncovered area of 9 meter^{2}. The area of the whole room is 25 meter^{2}. What is the length of one side of the carpet? 6 meters 8 meters 2 meters 4 meters Oops! Your answer is wrong. Wow! Your answer is correct. Explanation:The carpet Area = The whole room area - Uncovered area = 25 - 9 = 16 meter^{2}.The length of one side of the carpet = √16 = 4 meters 7 / 20 The difference between the length and breadth of the rectangle is 23 meters. If its perimeter is 206 meters, then, its area is- 1520 sq meter 2420 sq meter 2520 sq meter 2480 sq meter Oops! Your answer is wrong. Wow! Your answer is correct. Explanation:Let, the length = x meterand the breath = y meterAccording to the question,2(x + y) = 206or, x + y = 103or, x - y = 23Doing addition and Subtraction, we get x = 63 and y = 40So, the area of the rectangle is = x × y = 63 40 = 2520 sq meter (Ans) অনুপাত ও সমানুপাত 8 / 20 10² is how many times of (0.01) ³? 10^{5} 10^{7} 10^{6} 10^{8} Oops! Your answer is wrong. Wow! Your answer is correct. Explanation:Let, 10^{2} be X times (0.01)^{3}So, 10^{2 }= X × (0.01)^{ 3}Or, 10^{2 }= X × (10^{-2})^{3}Or, X = 10^{2}/10^{-6}Or, X = 10^{2-(-6)}Or, X = 10^{8}And the answer is 10^{8} পরিমিতি (Mensuration) 9 / 20 If a:b = 4:7 and b:c = 5:6 then a:b:c =? 8: 15: 12 None 20: 35: 42 20: 35: 24 Oops! Your answer is wrong. Wow! Your answer is correct. a : b = 4 : 7 = 20 : 35 [5 দ্বারা গুণ করে]b: c = 5 : 6 = 35 : 42 [7 দ্বারা গুণ করে]a : b : c = 20 : 35 : 42 Sets 10 / 20 In a certain population group, 57% of the people have characteristics X, and 63% have characteristics Y. If every person in the group has at least what percent of the people have both X and Y? 20% 6% 12% 18% Oops! Your answer is wrong. Wow! Your answer is correct. Explanation:100% = 57% + 63% - BothBoth = 120 - 100 = 20% 11 / 20 M is older than N but younger than O. If m, n, and o are the ages of M, N, and O respectively, then which of the following is true? o < n < m o < m < n n < m < o m < n < o Oops! Your answer is wrong. Wow! Your answer is correct. 12 / 20 If the numerator of a fraction is increased by 2 and the denominator by 1 it becomes 1. Again, if the numerator decreased by 4 and the denominator by 2 it becomes 1/2 Find the fraction. 7/8 6/7 4/5 5/6 Oops! Your answer is wrong. Wow! Your answer is correct. Explanation:Let, the fraction is x/yATQ, (x + 2)/(y + 1) = 1 .......... (1)and (x - 4)/ (y - 2) = 1/2 .......... (2)Solving equation (1) & (2), we have,x = 7, y = 8Therefore, the fraction is 7/8 13 / 20 At a stationary shop, it costs Tk. 185 for 4 gel-pen, 8 ball-point pens, and 1 marker pen and Tk. 315 for 7 gel pens, 15 ball-point pens, and 1 marker pen. What would be the cost of 1 gel pen, 1 ball-point pen, and 1 marker pen? Tk. 60 Tk. 45 Tk. 55 Tk. 70 Oops! Your answer is wrong. Wow! Your answer is correct. Explanation:Let, the price of 1 gel pen, 1 ball pen, and 1 marker pen are respectively x, y, zFirst case,4x + 8y + z = 185 …………... (1)2nd case,7x + 15y + z = 315 …………... (2)(2) -( 1) =>3x + 7y = 130 ………………... (3)Now eq. (2) - (3) × 2 =>>1x + 1y + 1z = 315 – 260 = 55 14 / 20 What is the smallest number of apples that can be distributed equally (without cutting any apples) among 6,10,14 and 18 boys? 360 630 1260 315 Oops! Your answer is wrong. Wow! Your answer is correct. Explanation:For finding the smallest number, we have to perform the Least common multiple (LCM)LCM of 6, 10, 14 and 18 are = 630 (Ans) সমীকরণের প্রয়োগ (Application of Equation) 15 / 20 On a 2 km road, a total of 201 trees are planted on the side of the road at equal distances. How many such trees will be planted on a 50 km road such that the distance between two consecutive trees is the same as that of the consecutive trees on the 2 km road? 501 5001 1000 5000 Oops! Your answer is wrong. Wow! Your answer is correct. Explanation:Without the first tree, the number of the tree is (201 - 1) =200In 2 km number of trees is 200In 1 km number of trees is 200/250 km number of trees is 200×50/2 = 5000The total tree will be 5000 + 1 = 5 001 Compound Interest 16 / 20 An amount of money is invested in a savings account for two years. It increased by Tk. 52.50 in two years. after annual compounding at the rate of 10% per year. What is the amount invested initially? TK. 250 Tk.300 Tk. 200 Tk.400 Oops! Your answer is wrong. Wow! Your answer is correct. Explanation:Let, initially invest Tk. P = xRate of Interest, r = 10% = 0.1Time, n = 2For Compound Interest, C = P (1 + r)^{ n}We have, x + 52.50 = x (1 + 0.1)^{2}or, x = 250 সমীকরণের প্রয়োগ (Application of Equation) 17 / 20 Two small circular parks of diameter 16 meters and 12 meters are to be replaced by a bigger circular park. What would be the radius of this new park, if the new park has to occupy the same space as the two small parks? 15 meters 100 meters 10 meters 20 meters Oops! Your answer is wrong. Wow! Your answer is correct. Explanation:We know,Diameter of the first circle = 16m∴ Radius= 8m∴ Area of first circle, A₁ = π x 8²= π x 64 = 64π m²Diameter of the second circle = 12m = 6mArea of second circle, A₂ = π x 6²= π x 36 = 36π m²The sum of two circles,64π m² + 36π m² = 100π m²According to the question, Large Circle:πR² = 100πR² = 100R = √100R = 10 18 / 20 A student obtained 60, 75, and 85 marks respectively in 3 monthly examinations in physics and 95 marks in the final examination. The 3 monthly examinations are of equal weightage whereas the final examination is weighted. What is his average mark in physics? 78.75 85 82 79 Oops! Your answer is wrong. Wow! Your answer is correct. Explanation:Average mark in physics = (60 + 75 + 85 + 2 × 95)/5 = 82 বয়স (Ages) 19 / 20 A person's present age is two-fifth of the age of his mother. After 8 years. he will be one-half of the age of his mother. What is the present age of the mother? 35 50 30 40 Oops! Your answer is wrong. Wow! Your answer is correct. Explanation:Suppose, the mother's age is 5x, hence person's age is 2xAfter 8 years, the mother's age will be 5x + 8 and the person's age will be 2x + 8According to the question,5x + 8 = 2(2x + 8)⇒ x = 8Hence, the mother's present age is 5x = 5 × 8 = 40 20 / 20 A merchant has 1000 kg of sugar, part of which he sells at 8% and the remaining at 18% profit. He gains 14% on the whole. Find the quantity of sugar that he sold at 18% profit. 640kg 560kg 600kg 400kg Oops! Your answer is wrong. Wow! Your answer is correct. Explanation:Let the sugar sold at 8% gain by x kg.Then, sugar sold at 18% gain = (1000 − x) kg.ATQ,0.08x + 0.18x = 0.14 × 1000⇒ x = 600 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