প্রিলিমিনারি (MCQ) · ৮০টি প্রশ্ন। সঠিক উত্তর সবুজ রঙে দেখানো; ব্যাখ্যার জন্য প্রশ্নের নিচের বোতাম চাপুন। নিজেকে যাচাই করতে কুইক টেস্ট দিন।
গাণিতিক যুক্তি ৩০টি প্রশ্ন
৩১. A man can walk uphill at the rate of 2.5 km/hr and downhill at the rate of 3.25 km/hr. If the total time required walking a certain distance up the hill and return to the starting position is 4 hr 36 min, what is the distance he walked up the hill?
- ক3.5 km
- খ4.5 km
- গ5.5 km
- ঘ6.5 km
৩২. A, B and C enter into a partnership with a certain capital in which A's contribution is TK. 10,000. If out of a total profit of TK. 1,000, A gets Tk. 500, B gets Tk. 300, the C's capital is
- কTK. 4000
- খTK. 3600
- গTK. 4800
- ঘTK. 4400
৩৩. The marked price of an article is TK. 500. It is sold on two successive discounts of 20% and 10% .The selling price of that article is
- কTK. 350
- খTK. 375
- গTK. 360
- ঘTK. 400
৩৪. If (p/q)^(x−1) = (q/p)^(x−3), then the value of x is
- ক2
- খ1/2
- গ7/2
- ঘ1
৩৫. A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
- ক1/3
- খ1/4
- গ1/5
- ঘ1/7
৩৬. One -fourth of the boys and three -eight of the girls in a school participated in the annual sports. What proportional part of the total student population of the school participated in the annual sports?
- ক4/12
- খ5/8
- গ8/12
- ঘNone of these
৩৭. If the rate of simple interest is 12% per annum, the amount that would fetch interest of Tk. 6000 per annum is?
- কTk. 50000
- খTK. 7200
- গTK. 72000
- ঘTK. 7200
৩৮. The compound interest on a certain sum of money for 2 years at 10% per annum is Tk. 420. The simple interest on the same sum at the same rate and for the same time will be?
- কTk. 350
- খTk. 375
- গTk. 380
- ঘTk. 400
৩৯. Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. what is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
- ক½
- খ9/20
- গ3/5
- ঘ8/15
৪০. A bag contains 2 red Roses, 4 yellow Roses and 6 pink Roses. Two roses are drawn at random. What is the probability that they are not of same color?
- ক1/6
- খ14/33
- গ2/3
- ঘ5/6
৪১. The sum of the present ages of a father and his son is 60 years. Five years ago, father's age was four times the age of the son. So now the son's age will be -
- ক15 years
- খ5 years
- গ20 years
- ঘ10 years
৪২. A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is?
- ক720 m³
- খ1200 m³
- গ900 m³
- ঘ1800 m³
৪৩. A cylindrical rod of iron, whose height is equal to its radius, is melted and cast into spherical balls whose radius is half the radius of the rod. Find the number of balls.
- ক2
- খ3
- গ4
- ঘ6
৪৪. 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. How old is the mother at present?
- ক36 years
- খ38 years
- গ40 years
- ঘ42 years
৪৫. The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?
- ক50% increase
- খ25% increase
- গ50% decrease
- ঘ75% decrease
৪৬. Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruits?
- ক20 kg
- খ30 kg
- গ35 kg
- ঘ40 kg
৪৭. A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
- ক3 hrs 15 min
- খ3 hrs 45 min
- গ4 hrs 15 min
- ঘNone of these
৪৮. The salaries of A, B and C are in the ratio of 1 : 2 : 3 The salary of B and C together is TK. 6000. By what percent is the salary of C more than that of A?
- ক100%
- খ150%
- গ200%
- ঘ250%
৪৯. Two numbers are in the ratio 3 : 7 . If 6 be added to each of them, then they are in the ratio 5 : 9 Find the numbers?
- ক9 and 21
- খ11 and 17
- গ7 and 17
- ঘ12 and 23
৫০. 28√? + 1426 = ¾ of 2872
- ক576
- খ1296
- গ676
- ঘ1444
৫১. A bag contains 50 P, 25 P and 10 P coins in the ratio 5 : 9 : 4 amounting to TK. 206 .Find the number of coins of each type respectively .
- ক360, 160, 200
- খ160, 360, 200
- গ200, 160, 300
- ঘ200, 360 , 160
৫২. Painter A can paint a house in 16 days, and painter B can do the same work in 20 days. With the help of painter C, they paint the house in 8 days only. Then, Painter C alone can do this task in
- ক80 Days
- খ85 Days
- গ79 Days
- ঘ76 Days
৫৩. A and B start at the same time with speeds of 40 km/hr and 50 km/hr respectively. If in covering the journey A takes 15 minutes longer than B, the total distance of the journey is
- ক46 km
- খ48 km
- গ50 km
- ঘ52 km
৫৪. A person borrows Tk. 5,000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 25/4 % per annum for 2 years. Find his gain in the transaction per year.
- কTk. 112.50
- খTk. 167.50
- গTk. 150
- ঘTk. 225
৫৫. Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
- ক1 : 3
- খ3 : 2
- গ3 : 4
- ঘNone of these
৫৬. A tank has two leakages. The first leakage alone can empty the tank in 9 min and the second alone would have done it in 6 min. If water leaks out at a constant rate, how long does it take both the leakage together to empty the tank?
- ক3.1 min
- খ3.5 min
- গ4.0 min
- ঘ3.6 min
৫৭. The time taken by a man to travel 36 miles downstream is 90 min less than to go the same distance upstream. The speed of the man in still water is 10 mph. Find the speed of the stream?
- ক2 mph
- খ2.5 mph
- গ3.5 mph
- ঘ5 mph
৫৮. A boat runs at 22 km per hour along the stream and 10 km per hour against the stream. Find the ratio of the speed of the boat in still water to that of the speed of the stream.
- ক2 : 3
- খ5 : 3
- গ7 : 3
- ঘ8 : 3
৫৯. In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
- ক30%
- খ70%
- গ100%
- ঘ250%
৬০. (52.022 - 34.012)÷17.99 × √? = 1,720
- ক25
- খ20
- গ400
- ঘ625