গণিত

১. If mx + ny = 12my , then $\frac{x}{y}+\frac{n}{m}=$

২. From the time 6:15 pm to the time 7:45 pm, of the same day, how many degrees does the minute hand of a standard clock rotate?

৩. A man buys some shirts and some ties. Shirts cost Tk.70 each and the ties cost Tk. 30 each. If the man spends exactly Tk. 810 and buys the maximum number of shirts possible under these conditions, what is the ratio of shirts to ties?

৪. One-third of a cylindrical oil tank is filled. If 3 more liters are added, a half of the tank will be filled. What is the capacity, in liters, of the tank?

৫. In the Excel Manufacturing Company, 46 percent of the employees are men. If 60 percent of the employees are unionized and 70 percent of these are men, what percent of the non-unionized workers are women?

৬. Rahim is two years older than Karim who is twice as old as Ashraf. If the ages of the three total 27 years, how old is Karim?

৭. A carpenter needs 4 boards, each 2 feet 10 inches long,. If wood is sold only by the feet, what is the minimum length, in feet, of wood he must buy?

৮. Karim can buy single poster boards for 80 paisa each or a package of 12 poster boards for Taka 7.50. How much more (in Taka) would Karim have to pay for 3 dozen poster boards if he buys them individually than if he buys them in packages?

৯. The total cost of a bouquet of roses at a flower shop depends on the number of roses ordered. The vase costs Tk. 5 and each rose costs Tk. 2.25. Which equation can be used to find c, the total cost of a bouquet with r roses?

১০. How many square centimeters of construction paper Jesmin needs in order to exactly cover, with no overlap, 5 sides of a cube with edges that are 12 centimeters long?

১১. A business firm reduces the number of hours its employees work from 40 hours per week to 36 hours per week while continuing to pay the same amount of money. If an employee earned x taka per hour before the reduction in hours, how much does he earn hour under the new system?

১২. A certain type of wall for a house costs Tk. 10.50 per square yard. What does it cost to make a wall 4 yards wide and 60 feet long?

১৩. If x and y are prime numbers, which of the following cannot be the sum of x and y?

১৪. A union contract specifies a 6 percent salary increase plus a Tk. 450 bonus for each employee. For a certain employee, this is equivalent to 8 percent salary increase. What was this employee's salary before the new contract?

১৫. A club collected exactly Tk. 599 from its members. If each member contributed at least Tk. 12, what is the largest numbers the club could have?

১৬. The average of 6 numbers is 8.5. When one number is discarded, the average of the remaining numbers becomes 7.2. What is the discarded number?

১৭. In a weight-lifting competition, the total weight of Joe's two lifts was 750 pounds. Twice the weight of his first lift was 300 pounds more than the weight of his second lift. What was the weight, in pounds, of his first lift?

১৮. Increasing the original price of an article by 15 percent and then increasing the new price by 15 percent is equivalent to increasing the original price by ---

১৯. Hashem wants to put up fencing around three sides of his rectangular yard and leave a side of 20 feet unfenced. If the yard has an area of 680 square feet, how many feet of fencing does he need?

২০. A restaurant meal costs Tk. 35.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of meal, then the total amount paid must have been between --

২১. Three business partners Q, R, and S, agree to divide their total profit for a certain year in the ratios 2 : 5 : 8, respectively. If Q's share was Tk. 4000, what was the total profit of the business partners for the year?

২২. A painter has painted one-third of a rectangular wall which is ten feet high. When he will paint another 75 square feet of that wall, he will have finished three-quarters of the job. What is the length (the horizontal dimension) of the wall?

২৩. A sales representative will receive a 15% commission on a sale of Tk. 28,000. If she has already received Tk. 1500 as an advance of that commission, how much more is due on the commission?

২৪. A class of 50 girls and 70 boys sponsored a party. If 40% of the girls and 50% of the boys attended the party, approximately what percent of the class attended?

২৫. A merchant sells a radio for Tk. 80 and thereby makes a profit of 25% of the cost. What is the ratio of cost to selling price?

২৬. If n is an integer between 0 and 100, then any of the following could (3n+3) except ---

২৭. If mx+ny=12my, then x/y+n/m= ?

২৮. An item costs 90% of its original price. If Tk. 90 is added to the discount price, the cost of the item will be equal to its original price. What is the original price of the item?

২৯. If x=3 and (x-y)2=4, then y could be ----

৩০. If x = -1 , then $\frac{x^6-x^5+x^3+x^2-x}{1-x}=?$

৩১. $If 2^x=\frac{2^4\times 8^3\times 4^2}{2^{10}},then x=?$

৩২. In a container , there are 2 green marbles and 2 red marbles .You randomly pick two marbles. What is the probability that both of them are green?

৩৩. If Anwar's salary is 25% greater than that of Babu, what is the ratio of the salary of Babu and Anwar?

৩৪. $\frac{3}{x}=2 and \frac{y}{4}=3, then\frac{(3+y)}{(x+4)}is what percent of x?$

৩৫. If box

৩৬. If x> 0, $(\frac{x}{50}+\frac{x}{25})is what percen to f x ?$

৩৭. A trader bought 100 identical pens at a total cost of TK. x . If he sold each pen at 50% above the original cost per pen, then, in terms of x , what was the selling price of each pen?

৩৮. Five motorbikes had a race . The Honda beat the Hero but couldn't overtake the Kawasaki . The Vespa failed to overtake the Suzuki but beat the Kawasaki . Which bike came last ?

৩৯. Jamal is taller than Pia , and Bashir is shorter than Jamal. Which of the following statements would be most accurate ?

৪০. Fill in the blank in the series : 000, 001, 011, -

৪১. In the following series, what comes next ? 1, A, 9, I, 17, --

৪২. Two-fifths of the socks in box are , one-third is blue, and the rest are green. What is the ratio of the green socks to the blue socks?

৪৩. Faruk can do a work in 12 days and Salam can do the same work in 8 days. If Faruk , Salam and Babu work together , they can complete the work in 4 days . How many days will it take Babu to complete the work alone ?

৪৪. If 2x+2y=7z, then what is the average of x, y and z ?

৪৫. Four litres of milk are to be porued into a 2-litre bottle and a 4-litre bottle . If each bottle is to be filled to the same fraction of its capacity, how many litres of milk should be poured into the 4-litre bottle ?

৪৬. Kamal weights twice as much as Momen. Momen's weight is 70% of Babu's weight. Dipu weights 50% of Lipu's weight . Lipu weights 180% of Kamal's weight. Who weights the least ?

৪৭. If 6x-14<8x+2, which of the following must be true ?

৪৮. In a club 50% of the male voters and 80% of the female voters voted for candidate A . If candidate A received 70% of the total votes, what is ratio of male to female voters ?

৪৯. A salesman's income consists of his salary and commission . His monthly salary is TK. 8,000. During one month, the commission he earned was 5/4 of his salary . What fraction of his income for that month came from commission ?

৫০. If m and n are positive integers, which of the following must be an even integer ?

৫১. A man buys pen at the rate of TK. 420 per 100 pieces and sells them at TK. 60 per dozen . If the profit is TK. 100, how many pens did he buy ?

৫২. In a Container,there are 2 green marbles and 2 red marbles. You randomly pick two marbles . What is the probability that both of them are green ?

৫৩. If Anwar's salary is 25% greater than that of Babu, what is the ratio of the salary of fBabu and Anwar ?

৫৪. The contents of a certain box consist of 9 apples and 27 oranges . How many oranges must be removed from the box so that 70% of the pieces of fruits in the box will be apples ?

৫৫. what is the greater of two numbers whose product is 900 , if sum of these two numbers exceeds their difference by 30?

৫৬. A boy got 50% of the questions on a test correct . If he had 10 questions correct out of the first 12 and 25% of the remaining questions correct, how many questions were on the test?

৫৭. A car rental agency charges Tk. 2,000 a day plus Tk. 10 per mile for its rental cars. what is the total cost of traveling a total of 400 miles in 4 days in a car rented form this agency ?

৫৮. Of the 32 students in a certain class, 15 are in debating club and 20 are in music club . If 10 of the students are not in either club, how many of the students are in only of the two clubs?

৫৯. On sunday the price of a share was TK. 560 . If the price of hte share was TK. 630 at the closing of the day, what was the percent increase in the price of the share for the day?

৬০. Rahim sells 60% of apples he had and throws away 15% of the remainder. Next day he sells 50% of the remainder and throws away the rest. what percent (in total) of his apples does Rahim throw?

৬১. Rahim has three times as much money as Karim has . If Rahim Tk. 50 then Karim will have three times as much money as Rahim will have . How much money do they have together?

৬২. In a school cricket team , players are selected from both junior section and senior section. If the ratio of juniors to seniors in the team is 3 : 5 , what percentage of the team members are seniors ?

৬৩. Nader drove form Mymensingh to Dhaka at 60 miles /hour. Returning over the same route, there was a lot of traffic , and he was only able to drive at 40 miles /hour . If the reurn trip took 1 hour longer, what is the distance between Dhaka and Mymensingh?

৬৪. If a> b>c then which of the following can never be true?

৬৫. In a magic show , every one who is not over six feet tall is seated in the first row. Accordingly the assistant requested Anu to seat in the second row . Which of the following inferences can the above two sentences logically indicate ?

৬৬. As yesterday is to tomorrow , so Monday is to -

৬৭. XYZ company sold 800 units of watches for TK.800 each and 1,000 units of watches for TK. 500 each. If the company's cost of producing each unit of watch was TK. 600, what was the company's profit or loss ?

৬৮. At a certain bookstore , the regular price of each book is 20 percent less than its list price. If during a sale the price of each book at the store was 15 percent less than its regular price, then the price of a book during the sale was what percent less than its list price ?

৬৯. In creasing the original price of an item by 10%, then decreasing by 20% and then again increasing the price by 10% is equivalent to

৭০. Rashed's average on 4 tests is 80. Assuming he can earn no more than 100 on any test, what is the least he can earn on his 5th test and still have a chance for an average of 85 after seven tests ?

৭১. At a book fair, Danesh buys three pencils that cost TK.3.25 each and a color pen that costs TK. 5. Which expression represents the amount of change 'C' , he should get when paying with a TK.20 note ?

৭২. What is the greater of two number whose product is 90, if sum of these two numbers exceeds their difference by 30 ?

৭৩. A boy got 50% of the questions on a test correct. If he had 10 questions correct out of the first 12, and 25% of the remaining questions correct, how many questions were on the test ?

৭৪. A car rental agency charges TK.2,000 a day plus TK.10 per mile for its rental cars. What is the total cost of traveling a total of 400 miles in 4 days in a car rented from this agency ?

৭৫. Of the 32 students in a certain class , 15 are in debating club and 20 are in music club. If 10 of the students are not in either club, how many of the students are in only one of the two clubs ?

৭৬. On Sunday, the price of a share was TK.560. If the price of the share was TK.630 at the closing of the day, what was the percent increase in the price of the share for the day ?

৭৭. Rahim sells 60% of apples he had and throws away 15% of the remainder . Next day he sells 50% of the remainder and throws away the rest. What percent (in total) of his apples does Rahim throw ?

৭৮. Nisha's father contributes to her savings by giving her 10% of her total savings. If Nisha saves TK.100 in June, TK.250 in July and TK.130 in August, how much will she have in savings at the end of August ?

৭৯. If Bashar can run around a ground four times in 20 minutes and Rahim can run around the same ground three times in 12 minutes, who can run around that ground more times in an hour, and how many times more can he run around ?

৮০. Zarina has started a wholesale jewelary making business. She makes 36 bracelets a day, and sells them to local shops for TK.180 a dozen. How much does Zarina make per week if she works 5 days a week ?

৮১. Rahim has three times as much money as Karim has. If Rahim gives Karim TK.50 then Karim will have three times as much money as Rahim will have. How much money do they have together ?

৮২. In a school cricket team, players are selected from both junior section and senior section. If the ratio of juniors to seniors in the team is 3:5 , what percentage of the team members are seniors ?

৮৩. Nader drove from Mymensingh to Dhaka at 60 miles/hour. Returning over the same route , there was a lot of traffic , and he was only able to drive at 40 miles/hour . If the return trip took 1 hour longer, what is the distance between Dhaka and Mymensingh ?

৮৪. If a>b>c then which of the following can never be true ?

৮৫.

$(3^{21}+3^{22}+3^{23}+3^{24})is divisible by--$

৮৬.

what will be the compound interest on TK. 6,000 for 1 $\frac{1}{2}year at 10\% per annum if the interest is$$paid half yearly?$

৮৭.

If Farhan were to add 5 gallons of kerosene to a tank that is already $\frac{3}{4}$ $full of kero\sin e, the \tan k would be$ $\frac{7}{8}full.$ $How many gallons of kero\sin e would the \tan k hold if it wre full.$

৮৮. A retailer buys a radio from the wholesaler for TK.80. He then marks up the price by 25% and sales at a discount of 10% . What is his profit on the radio ?

৮৯. SR Enterprise (a partnership business co-owned by Rimon and Sumon) has earned a good amount of profit at the end of the year 1999. Out of the profit Sumon received TK. 2,500 as his share . What is the total amount of profit if in the beginning of that year both the partners have invested TK. 10,500 and Tk. 7,000 respectively ?

৯০. A class of 80 students has 25% girls. If 10% of the boys and 20% of the girls attended a picnic then what percentage of the class attended the picnic ?

৯১. The retail price of a doll is 40 taka. Amreen got discount of 20% over the retail price and she eventually saved 240 taka on her total purchase of the dolls. How many dolls did she purchase ?

৯২. Which of the following is the next number in the series : 1, 3, 2, 4, 3, 5, 4, 6, 5, ... ?

৯৩. One year abo the ratio of Arman and Ananda's age was 4:5 . One year hence the ratio of their ages will be 5:6 . What is the age of Ananda at present ?

৯৪. The population of Village Rasulpur increased by 12.5% every year. The population will increase to 121,500 after 2 years if the present population is -

৯৫. If Zara walks at 5 km/hr, she reaches the bus stop 5 minutes late and if she walks at 6 km/hr , she reaches the bus stop 5 minutes earlier . The bus stop is at a distance of -

৯৬. Bashar is twice as fast as Arif and Karim is three times as fast as Arif. If Bashar alone can complete a job in 12 days, how long will Bashar, Arif and Karim take to complete the same job together ?

৯৭. If Farhan were to add 5 gallons of kerosine to a tank that is already 3/4 full of kerosine , the tank would be 7/8 full. How many gallons of kerosine would the tank hold if it were full ?

৯৮. If (3x+2y) = 8 and (2x-y) = 3, what is the value of "x" ?

৯৯. If the average of two numbers is M, and the larger number is L, what is the other number ?

১০০. What is the value of the expression '3(m-n)-32(m-n)+(m-n)' ?

১০১. A and B together can paint a wall in 3 days . A can do it alone in 5 days . How many days would it take B to do this job alone ?

১০২. If the stock value of XYZ Company drops from TK. 25 per share to TK. 21 per share, what is the percentage decrease ?

১০৩. A coat was sold for TK. 75. The coat was sold for 150% of the cost of the coat. How much did the coat cost ?

১০৪. What is the total interest on TK. 800 at 12.5% per annum for 9 months ?

১০৫. Which of the following is less than 1/6 ?

১০৬. who cannot be a member of a team of size 3?

১০৭. who can be a member of a team of size 5?

১০৮. what would be the size of the largest possible team ?

১০৯. In how many ways a team can be constituted so that the team includes Nadir?

১১০. what could be the size of a team that includes kim?

১১১. A salesman usually makes 25% profit on every radio he sells. During a sale, he reduces his profit margin to 20%, while his sales increase by 10%. What is the radio of his new profit to his usual profit?

১১২. 2 large and 1 small pumps can fill a water tank in 4 hours. One large and 3 small pumps can also fill the same water tank in 4 hours. how many hours will it take for 3 large and 4 small pumps to fill the tank?

১১৩. If the average of 11,17,x, and y is 19, what is the average of (x+50) and (y-7)?

১১৪. An instrument store gives a 10% discount to all students of the original cost of an instrument. During a school sale an additional 15% is taken off the discounted price. Rahim, a student at the local high school, purchases a flute for Tk 306. How much did it originally cost?

১১৫. Jesmin spent one-third of her money on books and half of the remaining money on clothing. she then spent three-fourths of what she had left on food. She had 500 left over. How much money did she start with?

১১৬. In the last week of a month, a car dealer sold 12 cars. A new sales promotion came out the first week of the next month and he sold 19 cars that week. what was the percent increase in sales from the last week of the previous month compared to the first of the next month?

১১৭. It a, b, and c are three different positive integers less than 10 and greater than zero, what is the greatest possible value of the expression (a+b)/c?

১১৮. Two different schools, A and B, have the same number of students. The ratio of the boys in school A and the boys in school B is 2:1 and the ratio of the girls in school A and the girls in school B is 4:5. What is the ratio of the boys in school A to the girls in school A?

১১৯. The lengths of the sides of a triangle are d+1, 2d, and 3d. The sum of the degree measures of the three interior angles of the triangle is____

১২০. A school has 10 classes with the same number of students in each class. One day, the weather was bad and many students were absent. 5 classes were half full, 3 classes were 3/4 full and 2 classes were 1/8 empty. A total of 70 students were absent. What is the total number of students in this school?

১২১. In a class average the mark in an exam is 70. The average of students who scored below 60 is 50. The average of students who scored 60 or more is 75. If the total number of students in this class is 20, how many students scored less than 60?

১২২. It is possible that the distance by road from X to Y is unequal to the distance by road from __

১২৩. which of the following is a town from which exactly two other towns can be reached by roads?

১২৪. If two projected roads were built , one from T directly to y, and one from l V directly to Z , then each of the following would be a complete list of the towns lying along one of the routes that a traveler going by road from U to X could select except.

১২৫. If a projected roads from T to Y is built , then the shortest distance by road from W to X will be the same as the shortest distance by road from Z to __

১২৬. which of the following is a pair of towns connected by two routes by road that have no stretch of road in common ?

১২৭. who can be a member of a team of size 5?

১২৮. The price of commodity X increases by 40 paisa every year, while the price of commodity Y increases by 15 paisa every year. If in 2001, the price of commodity X was TK4.20 and that of Y was TK 6.30, in which year commodity X will cost 40 paisa more than commodity Y?

১২৯. a man can row at 5 km/hr in still water. If the velocity of the current is 1 km/hr and it takes him 1 hour to row to a place and come back, how far is the place?

১৩০. An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes---

১৩১. In a race 200m, A can beat B by 31m and C by 18m. In arace of 350m, C will beat B by------

১৩২. A jogger running at 9 km/hr alongside a railway track is 240 meters ahead of the engine of a 120 meters long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?

১৩৩. The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two-digits of that number?

১৩৪. Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age?

১৩৫. A tap 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?

১৩৬. In an election between two candidates, one got 55% of the total valid votes. 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was -

১৩৭. A and B started a partership business investing some amount in the ratio of 3:5. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of the first year be distributed amoung A, B and C?

১৩৮. The difference of two number is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number?

১৩৯. The population of town increased from 1,75,000 to 2,62,500 in a decade. The average percentage increase of the population per year is --

১৪০. How many times are the hands of a clock at right angle in a day?

১৪১. A 3-digit number 4a3 is added to another 3-digit number 984 to give a 4- digit number 13b7, which is divisible by 11. Then, (a+b)=?

১৪২. Mr.khan invested an amount of TK. 13,900 divided into two different schemes A and B at a simple interest rate of 14% per annum and 11% per annum respectively. If the total amount of simple interest earned in 2 years be Tk. 3,508, what was the amount invested in Scheme B?

১৪৩. The average weight of 8 people increases by 2.5 kg when a new person comes in place of one of them weighting 65 kg. What might be the weight of the new person?

১৪৪. The ratio between the perimeter and the breadth of a rectangle is 5:1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?

১৪৫. What percentage of numbers from 1 to 70 has 1 or 9 in the unit's digit?

১৪৬. In a certain store, the profit is 320% of the cost. If the cost increases 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?

১৪৭. If X , and Z are both selected for the Public service Commission , and If U is selected for the Rent Control Commission , each of the following pairs of people could be the other two members of the Rent Control Commission except.

১৪৮. If U, V, and W make up the Public Service Commission , and W, Y, and Z make up the Rent Conrol Commission , which of these commission members could yield his / her place on a commission to X without necessitating any other membership change?

১৪৯. If U and X are each selected for a commission , and only z is selected for both commissions , which of the following must be true?

১৫০. If the members of the Public service Commission are V ,W and Z , and If the Rent control Commission is to have as many members in common with the Public Service Commission as the rules allow , the Rent Control Commission must consist of __

১৫১. If the two commissions have parallel terms of office, which of the following could be selected as the members of the Public service commission and the members of the Rent Control Commission , respectively , for one such term of office?

১৫২. A and B invested in a business in the ratio of 3:2. If 5% of the total profit goes to charity and A's share is TK.855, then how much is the total profit?

১৫৩. An accurate clock show 8 O'clock in the morning. Since then , how many degrees will the hour-hand rotate when clock shows 2 O, clock in the afternoon?

১৫৪. Samad purchased 20 dozens of toys at the rate of TK. 375 per dozen. He sold each one of them at the rate of TK.33. What was his percentage profit?

১৫৫. A train speeds past a pole in 15 seconds and a platform 100m long in 25 seconds. What is the length of the train?

১৫৬. The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is _____

১৫৭. What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30?

১৫৮. A father said to his son , " I was as old as you are at present at the time of your birth". If the father,s age is 36 years now, the son's five years back was____

১৫৯. Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?

১৬০. Two tailors X and Y are paid a total of TK. 550 per week by their employer. If X is paid 120 percent of the amount paid to Y, how much is Y paid per week?

১৬১. In a cricket match, a batsman scored 80 runs which included 3 boundaries and 8 sixes . What percent of his total score did he make by running between the wickets ?

১৬২. 3 pumsps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the same tank in 1 day?

১৬৩. In one hour, a boat goes 11 km/hr along the stream and 5 km/ hr against the stream. What is the speed of the boat in still water?

১৬৪. If 2994 $÷14.5=172$ , then 29.94 $÷1.45=?$

১৬৫. If each side of a rectangle is increased by 20%, then by what percent the area will be increased?

১৬৬. How many kilogram of sugar costing TK. 9 per kg must be mixed with 27 kg of sugar costing TK. 7 per kg so that there may be a again of 10% by selling the mixture at TK. 9.24 per kg?

১৬৭. An amount of money at simple interest amounts to TK. 815 in 3 years and to TK> 854 in 4 years. The amount is --

১৬৮. A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of TK. 392, what was his profit?

১৬৯. A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?

১৭০. If one-third of one -fourth of a number is 15, then three-tenth of that number is--

১৭১. Six bells commence tolling together and toll at intervals of 2,4,6,8,10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?

১৭২. The sum of ages of 5 children born at intervals of 3 years each is 50 years. What is the age of the youngest child?

১৭৩. A tank is filled in 5 hours by three pipes A, B and C . The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?

১৭৪. The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percentage increase of the population per year is----

১৭৫. A fruit seller had some apples. He sold 40% of he apples and still has 420 apples left. How many apples did he have initially?

১৭৬. What is the smallest number that should be added to 4456 so that the sum is completely divisible by 6?

১৭৭. A starts business with TK. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2:3. What is B's contribution in the capital?

১৭৮. If a-b=3 and $a^2+b^2=29$ , what is the value of ab?

১৭৯. . Running at the same constant rate, 6 identical machines can produce a total of 270bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

১৮০. A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.

১৮১. The average age of a husband, wife and their child 3 years ago was 27 years and the average age of the wife and the child 5 years ago was 20 years. What is the percent age of the husband?

১৮২. 125 gallons of a mixture contains 20% water . What amount of additional water should be added such that the water content is raised to 25%?

১৮৩. A collection of books went on sale and two-third of them was sold for Tk 2.30 each. If none of the 36 remaining books were sold, what was the total amount received for the books that were sold?

১৮৪. 10 men can survive for 24 days on 15 cans of food. How many total cans are needed for 8 men survive 36 days?

১৮৫. A machine can copy six pages in 9 seconds. How many pages can it copy in 24 minutes?

১৮৬. Before the budget, a businessman had increased the price of his product by 12%. In the budget, a 10% sales tax (to be paid by the seller) was imposed on that product. As a result, the profit ultimately increased by Tk 64. What was the original selling price?

১৮৭. Asif can do a job in 15 hours, and Russel can do the same job in 9 hours. If they start doing the job together at 6 a.m. and Russel stops working at 9 a.m. at what time will Asif finish the job?

১৮৮. If a is an even integer and b is an odd integer, which of the following expressions could be an even integer?

১৮৯. Dividing by 3/8 and then multiplying by 5/6 is the same as dividing by what number?

১৯০. The smallest of three consecutive even integers is 40 less than three times the largest. What is the largest of these integers?

১৯১. At XYZ Company, the ratio sales to gross profit is 4:3 and the ratio of gross profit to net profit is 3:1, what is the ratio of net profits to sales?

১৯২. Mohona deposits Tk 10,000 into a savings account that pays interest at an annual rate of 8%, compounded quarterly. After 6 months, how much interest has Mohona earned?

১৯৩. Rana makes a 40% profit by selling his home, but loses 12% of the profit to taxes. what is the net percentage of profit Rana makes on the sale?

১৯৪. A school committee consists of 2 teachers and 4 students. The number of different committees that can be formed 5 teachers and 10 students is :

১৯৫. At a store, Mimi paid Tk 100 for 5 oranges. If oranges are usually sold at Tk 216 per dozen, how much extra/less did she pay?

১৯৬. A drink contains 20% cranberry juice, 20% raspberry juice and the rest is apple juice. You added 250 ml water in 750 ml of the drink. Now, what is the ratio of water of water to apple juice in the drink?

১৯৭. The Lions Club has a target of raising at least Tk 500 thousand. It has already raised Tk 100 thousand. The club is sponsoring a 'Pitha' festival and Tk 5000 per ticket. Which equation represents the number of tickets (t) that the club must sell to meet its target?

১৯৮. If the following number pattern continues, what numbers will come next? 50, 30, 40, 20, 30 -----

১৯৯. Aida divides a number greater than 100 by a number greater than 10. Which statement about Aida's quotient is always true?

২০০. Bridgeport is 924 miles from Danville. The distance between Danville to coopertown is three-fourths of the distance from Bridgeport to Danville. How many miles is it from Bridgeport to Coopertown?

২০১. Nahid is ten years older than his sister. If Nahid was twenty five years of age in 2013, in what year could he have been born?

২০২. The statement "x>5 or x<3" is true if x equals.

২০৩. In a class of 50 students, 18 take music, 26 take art, and 2 take both art and music. How many students in the class are not enrolled in either music or art?

২০৪. If the product of two numbers is 10 and the sum of the two numbers is 7, then the larger of the two numbers is ----

২০৫. If b<2 and 2x-3d=0, which of the following must be true?

২০৬.

If x = 4, then $-2^{2\sqrt{x}}+2=$

২০৭.

If ${33}^2={17}^2=25x,what is the value of x ?$

২০৮.

what is the value of x + 15 ? $\left(i\right)x^3=27 \left(ii\right)x^5=243$

২০৯.

Is $(m\times p)greater than m ?$ $\left(i\right)m>p>0\left(ii\right) pisless than$

২১০. What is the minimum number of tiles of size 16 by 24 required to from a square by placing the tiles adjacent to one another other?

২১১. A fuel tank is 50% full. If 8 gallons of fuel is removed, then the tank remains 10% full. What is the capacity of the tank in gallons?

২১২. In a class, 50% of the male students and 2/3 of the female students speak French. If there are 3/4 as many girls as boys, what fraction of the entire class specks French?

২১৩. If 4y-3x=5, what is the smallest integer value of x for which y>100?

২১৪. Two trains are running on parallel lines in the same direction at a speed of 50 km/hr and 30 km/hr respectively. The faster train crosses a man sitting in the slower in 18 seconds. What is the length of the faster train?

২১৫. A man rowed 3 miles upstream in 90 minutes. If the river flowed with a current of 2 miles per hour, how long did the man's return trip take?

২১৬. A 12 gallon tub has a faucet that lets water in at a rate of 3 gallons per minute, and has a drain that lets water out at a rate of 1.5 gallons per minute. If you start with 3 gallons of water in the tub, how long will it take to fill the tub completely?

২১৭. If the sum of three consecutive integers is less than 75, what is the greatest possible value of the smallest one?

২১৮. Which one of the following is the minimum value of the sum of two integers whose product is 36?

২১৯. There are 4 women and 4 men sitting in a waiting room for job interview. If two of the applicants are selected at random, what is the probalility that both will be women?

২২০. Hamed is 7 years older than his brother Shaquib, who is twice as old their younger sister Lopa. if Lopa is 15 years younger than Hamed, then how old is Shaquib?

২২১. What percentage of numbers from 11 to 90 has 0 or 5 in the unit's digit?

২২২. Rakib can complete a task in 30 minutes, and together with his brother Momin, he can complete the task in 20 minutes. How long would it take for Momin working alone to complete the task?

২২৩. If-5

২২৪. If n is a positive integer and n2 is divisible by 72, then what is the largest positive integer that must be a factor of n?

২২৫. Arafat and Asif were each paid X taka in advance to do a certain job together. Arafat worked on he job for 10 hours and Asif worked 2 hours less than Arafat. If Asif gave Arafat Y taka of his payment so that they would have received the same hourly wage, what was the amount in taka, in terms of Y, that Arafat was paid in advance?

২২৬. If the average of z and x is 35, and the average of x and y is 25, then z-y=?

২২৭. Fahim and Rishad both started at the same time from point A to point B at speeds of 52 kmph and 39 kmph respectively on the same road. As soon as Fahim reaches point B, he turns back, stats toward point A on the same road, and meets Rishad on the way. How far from point B do the two of them meet, if the distance between the points is 70 km?

২২৮. In a class, 120 students are finance major and 100 students are marketing major, 25% of the finance students and 20% of the marketing students are male. 20% of the male finance student and 25% of the male marketing students passed the final xam. What percentage of male students passed the exam?

২২৯. A shopkeeper combined X liters of a solution containing 10% of certain material Q, with 10 liters of another solution that contained 2% of that materiale Q, to produce Z liters of a solution that had 5% of Q. What is the value of X?

২৩০.

In each of the following questions, count the number of triangles and squares in the given figure.

২৩১. which letter in the alphabet is as far from G as T is from M?

২৩২. Who is good in Hockey , Cricket and Volleyball?

২৩৩. who is good in Hockey , Cricket and Volleyball?

২৩৪. Who is good in Baseball, Volleyball and Hockey?

২৩৫. Sam ranked ninth from the top and thirty-eight from the bottom in a class. How many students are there in the class?

২৩৬. Arrange the given words in a meaningful sequence and then choose the most appropriate sequence from amongst the alternative provided below each question : 1. Foetus 2. Chid 3. Baby 4. Adult 5. Youth

২৩৭. If A>B, B>C and C>D, then which of the following conclusions is definitely wrong?

২৩৮. Which letter in the alphabet is as far from G as T is from M?

২৩৯. Choose the number pair which is different from others.

২৪০. If in a certain language, POPULAR is coded as QPQVMBS. Which word would be coded as GBNPVT?

২৪১. A man can do a job in 15 days. His father takes 20 days and his son finished it in 25 days. How long will they take to complete the job if they all work together?

২৪২. If the simple interest on a sum of money for 2 years at 5% per annum is Tk. 50. What is the compound interest on the same sum at the same rate and for the same time?

২৪৩. If a number x is 10% less than another number y and y is 10% more than 125, then x is equal to :

২৪৪. 100*10-100+2000/100=?

২৪৫. An amount of Tk. 735 was divided between A, B and C. If each of them had received Tk 25 less, their shares would have been in the ratio of 1:3:2. The money received by C was :

২৪৬. The difference of two numbers is 20% of the larger number. If the smaller number is 12 the larger one is :

২৪৭. The ratio between the length and the perimeter of a rectangular plot is 1:3. What is the ratio between the length and breadth of the plot?

২৪৮. Three taps A, B and C can fill a tank in 12,25 and 20 hours respectively. If a is open all the time and B and C are open for one hour each alternately, the tank will be full in :

২৪৯. A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is :

২৫০. 0.014*0.014=?

২৫১. A and B invest in a business in ratio 3:2. If 5% of the total profit goes to charity and A's share is Tk 855, the total profit is.

২৫২. How many times in a day, the hands of a clock are straight?

২৫৩. (1000)7+1018=?

২৫৪. The profit earned by selling an article of Tk. 900 is double the loss incurred when the same article is sold for Tk. 450. At what price should the article be sold make 25% profit?

২৫৫. A train covers a distance of 10 km in 12 minutes. If its speed is decreased by 5 km/hr, the time taken by it to cover the same distance will be :

২৫৬. The difference between the local value and the face value of 7 in the numeral 32675149 is

২৫৭. In what ratio must a grocer mix two varieties of tea worth Tk. 60 a kg and Tk. 65 a kg so that by selling the mixture at Tk. 68.20 a kg he may gain 10%?

২৫৮. 30 labourers, working 7 hours a day can finish a piece of work in 18 days. If the ladourers work 6 hours a day, then the number of labourers to finish the same piece of work in 30 days, will be.

২৫৯. The greatest number that exactly divides 105, 1001 and 2436 is :

২৬০. There are 120 engineers and technocians working in a project in a project. If the ratio of enginerrs to technicians is 3 to 5, how many technicians are working in the project?

২৬১. A man is in the need of moey for 120 days. He asked a banker and banker charged Tk. 360 at the rate of 6%. What was the amount asked for

২৬২. If it takes 4 hours to dig a hole by 50 workers, how long should it take to dig the same hole by 30 workers?

২৬৩. Find the largest number of apples not exceeding 1000 which can be divided among 6,15,20, or 24 boys?

২৬৪. If 8x+8y=64, what is the average of x and y?

২৬৫. If x +5y=16 and x=-3y, then y=?

২৬৬. The sum of tree consecutive even integers is equal to 4 times the smallest. What is the smallest integer?

২৬৭. Which of the following is divisible by 2 and 7?

২৬৮. How many prime numbers are there between 56 and 100/

২৬৯. What id the value of 0.4 X 0.04 X 0.004 X 40 ?

২৭০. If 3x+2y=8 and 2x-2y=3, find the value 4-3x

২৭১. Sum of 2 numbes is 23 and the difference is 21. What is the smallest of the two numbers?

২৭২. The ratio of boys and girls in a school is to 7. If there are 150 boys and girls, how many boys are there?

২৭৩. Find the nixt number in the series : 3, 6, 4, 9,5,12,6.......

২৭৪. The average of 15 consecutive integers is 15. Find the smallest of the 15 integers?

২৭৫. The difference between $\sqrt{150}$ $\sqrt{54}$is _____

২৭৬. What is the product of the odd integers between -8 and 8 ?

২৭৭. What is 10% of 20% of 30%

২৭৮. 10% of 80 is equal to what percentage of 40?

২৭৯. If the sides of a square is increased by 10%, by what percent will the area of the square be increased ?