♣ A man is in need of money for 120 days. He asked the banker and the banker charged Tk. 360 at the rate of 6%. What was the amount asked for?
a. Tk. 16,000 b. Tk. 15,000 Tk. 10,500 d. Tk. 20,000 e. Tk. 18,000
♣ The price of a certain DVD is discounted by 10% and the reduced price is then discounted by 10%. This series of successive discounts is equivalent to a single discount of ––
a. 20% b. 19% 18% d. 11% e. 10%
♣ Suppose half the passengers on a bus exit at each stop and no additional passengers board the bus. if on the fourth stop, the next to the last person exits the bus, how many people were on the bus at the beginning?
a. 64 b. 32 40 d. 20 e. 16
♣ 20% of 0.2 is equal to
a. 1 b. 4 0.4 d. 0.04 0.004
♣ A person has Tk. 950 consisting of the notes of Tk. 500, Tk. 100, Tk. 50 and Tk. 10. How many notes should at least be there of Tk. 50?
a. none b. 1 c. 2 d. 3 e. 5
♣ What is the next number in the series 1, 4, 9, 16, …..?
a. 18 b. 21 c. 23 d. 25 e. 31
♣ A and B can do a work in 12 days, B and C can do it is 15 days, and A and C can it in 20 days. If all of them work together in how many days they can finish the work?
a. 25 b. 9 c. 12 d. 10 e. 15
♣ Lima is 10 years older than Rima. In 7 years time, Lima will be twice as old as Rima. Find Lima’s age now?
a. 3 b. 13 c. 23 d. 33 e. 5
♣ If the average of four numbers, K, 2K – 3, 3K – 5 and 5K + 1 is 63. What is the value of K?
a. 11 b. 15.75 c. 22 d. 23 e. 25
♣ If a photocopier makes 2 copies in 1/3 second, at the same rate how many copies does it make in 4 minutes?
a. 1440 b. 480 c. 576 d. 720 e. 360
♣ The value of -3-(-10) is how much greater than the value of – 10-(-3)?
a. 0 b. 6 c. 7 d. 14 e. 26
♣ If N and P are odd numbers then which of the following must be even number?
a. NP b. 2N + P
c. N + P d. NP + 2 e. None of them
♣ How many prime numbers are there between 45 and 72?
a. 5 b. 6 c. 8 d. 7 e. None of them
♣ Average of the five consecutive even numbers is 8. Which is the smallest of the 5 numbers?
a. 4 b. 3 c. 5 d. 6 e. None of them
♣ What is the area of a square in square meter if its perimeter is 80?
a. 220 b. 300 c. 400 d. 600 e. None of them
♣ The sum of two numbers is 23 and difference is 21. What is the smaller of the two numbers?
a. 4 b. 3 c. 2 d. 1 e. None of them
♣ What is the difference between the 6 digit largest and the smallest numbers?
a. 888889 b. 899999 c. 999888 d. 988888 e. None of them
♣ 1 + 2 + 3 + … + 100 = ?
a. 10100 b. 5500 c. 5050 d. 5055 e. None of them
♣ The sum of the ages of the son and father is 120 years. The father’s age is 3 times than that of the son. What is the age of father?
a. 75 b. 80 c. 85 d. 90 e. None of them
♣ What is the percentage to simple interest if the capital of 100 is doubled in 5 years?
a. 20% b. 25% c. 30% d. 10% e. None of them
♣ The average of 3 numbers is 7. If 2 of the numbers are zero, then what if the 3rd number?
a. 15 b. 17 c. 19 d. 21 e. None of them
♣ A : B = 4 : 5, A : C = 10 : 9 them A : B : C = ?
a. 4 : 5 : 9 b. 4 : 5 : 10 8 : 9 : 10 d. 20 : 25 : 18 e. None of them
♣ At present, father’s age is 4 times more than that of his son. 6 years ago father’s age was 10 times more than that of his son. What is their present age?
a. 56 and 14 years b. 36 and 9 years c. 32 and 8 years d. 40 and 10 years
♣ If the price of an item is increased by 10% and then decreased by 10%, the net effect on the price of the item is¾
a. an increase of 99% b. an increase of 1%
c. a decrease of 1% d. no change
♣ A train 120 meter long is traveling at a speed of 60 km/h. The time in which it will pass a passersby, walking at 6 km/h in the same direction is¾
a. 8 sce b. 6 sec c. 3 sec d. 9 sec
♣ The present ratio of students to teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers?
a. 12 b. 15 c. 8 d. 10
♣ The average of two numbers is 62. If 2 is added to the smaller number, the ratio between the numbers becomes 1:2. The smaller number is¾
a. 60 b. 30 c. 84 d. 40
♣ 0.01 is what percent of 0.1?
a. 50 b. 40 c. 10 d. 100
♣ The greatest number that exactly divides 105, 1001 and 2436 is:
a. 3 b. 7 c. 11 d. 21
♣ The average of the two-digit numbers, which remain the same when the digits interchange their positions, is:
a. 33 b. 44 c. 55 d. 66
♣ If the compound interest on a sum for 2 years at 12.5% per annum is Tk. 510, the simple interest on the same sum at the same rate for the same period of time is:
a. Tk. 400 b. Tk. 450 c. Tk. 460 d. Tk. 480
♣ Sixty-five percent of a number is 21 less than four-fifth of that number. What is the number?
a. 140 b. 142 c. 144 d. 145
♣ The difference of two numbers is 11 and one-fifth of their sum is 9. Find the numbers?
a. 28 and 17 b. 28 and 18 c. 28 and 19 d. None of these
♣ A sum of Tk. 53 is divided among A, B, C is such a way that A gets Tk. 7 more than what B gets and B gets Tk. 8 more than what C gets. The ratio of their shares is:
a. 16 : 9 : 18 b. 25 : 18 : 10 c. 18 : 25 : 10 d. 15 : 8 : 30
♣ The average of the first nine prime numbers is :
a. 9 b. 11 c. 11 d. 11
♣ Two workers A and B are engaged to do a work. A working alone takes 8 hours more to complete the job than if both worked together. If B worked along, he would need 4.5 hours more to complete the job than they both working together. What time would they take to do the work together?
a. 4 hours b. 5 hours c. 6 hours d. 7 hours
♣ A man can do a piece of work in 5 days. But with the help of his son, he can do it in 3 days. In what time can the son do it alone?
a. 6.5 days b. 7 days c. 7.5 days d. 8 days
♣ The value of is :
a. 4 b. 6 c. 8 d. 10
♣ The simple interest on a sum of money will be Tk. 600 after 10 years. If the principal is trebled after 5 years, what will be the total interest at the end of the ten years?
a. Tk. 600 b. Tk. 900 c. Tk. 1200 d. Tk. 1500
♣ If the sum of two numbers is 33 and their difference is 15, the smaller number is:
a. 9 b. 12 c. 15 d. 18
♣ In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by:
a. 22.75 m b. 25 m c. 19.5 m d. 7 m
♣ If 18 pumps can raise 2170 tonnes of water in 10 days, working 7 hours a day; in how many days will 16 pumps raise 1736 tonnes of water, working 9 hours a day?
a. 6 b. 7 c. 8 d. 9
♣ An article when sold at a gain of 5% yields Tk. 15 more than when sold at a loss of 5% Its cost price would be:
a. Tk. 150 b. Tk. 200 c. Tk. 250 c. Tk. 300
♣ To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present?
a. 10 b. 35 c. 62.5 d. None of these
♣ 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?
a. 12 min b. 15 min c. 25 min d. 50 min
♣ Two numbers are in ratio of 15 : 11. If their H.C.F. is 13, find the numbers.
a. 195 and 143 b. 190 and 143 c. 195 and 145 d. None of these
♣ The value of 1001 ÷ 11 of 13 is :
a. 7 b. 91 c. 143 d. 169
♣ An express train traveled at an average speed of 100 km/hr, stopping for 3 minutes after every 75 km. How long did it take to reach its destination 600 km from the starting point?
a. 6 hrs 21 min b. 6 hrs 24 min c. 6 hrs 27 min d. 6 hrs 30 min
♣ Tanya’s grandfather was 8 times older to her 16 years ago. He would be 3 times of her age 8 years from now. Eight years ago, what was the ratio of tanya’s age to that of her grandfather?
a. 1 : 2 b. 1 : 5 c. 3 : 8 d. None of these
♣ Three partners A, B, C start a business. Twice A’s capital is equal to thrice B’s capital and B’s capital is four times C’s capital. Out of a total profit of Tk. 16,500 at the end of the year, B’s share is:
a. Tk. 4000 b. tk. 6000 c. Tk. 7500 d. Tk. 6600
♣ The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A?
a. 12 b. 24 c. 26 d. None of these
♣ If x and y are consecutive positive integers, which of the following must be an even integer?
a. x b. y c. xy/2 d. x/y e. xy
♣ A company’s profits have doubled for each of the last 5 years. If the total profits for the last 5 years were Tk. 62 million, what were the profits in the first year?
a. 1 b. 4 c. 2 d. 5 e. 6
♣ Which of the following is equal to 456*(72) + 28*(456)?
a. 72*(456 + 28)
b. 456*(72 + 28)
c. (456 + 28)*(456 + 28)*(456 + 72)
d. (28 + 456)*(72 + 456)
e. (456 + 456)*(72 + 28)
♣ The lengths of the sides of a triangle are in the ratio of 3 to 5 to 6. If the perimeter of the triangle is 70, what is the length of the longest side?
a. 5 b. 6 c. 15 d. 25 e. 30
♣ 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 38 years now, the son’s age five year’s back was:
a. 14 b. 19 c. 33 d. 38 e. 29
♣ In a group of people solicited by a charity, 30% contributed Tk. 40 each, 45% contributed Tk. 20 each and the rest contributed Tk. 12 each. What percentage of the total amount came from people who gave Tk. 40 each?
a. 25% b. 30% c. 40% d. 45% e. 50%
♣ A student first reduced a number by 20% and then increased it again by 20%. If the difference between the last number and the original number is 8, then the original number was:
a. 200 b. 250 c. 300 d. 450 e. 400
♣ 35% of Tahia’s income is equal to 25% of Nona’s income. The ration of Tahia’s income to Nona’s income is:
a. 7 : 5 b. 4 : 3 c. 4 : 7 d. 5 : 7 e. 3 : 4
♣ A watch which gains 5 seconds in 3 minutes was set right at 7a.m. When the true time is 1p.m., the watch will indicate:
a. 1 : 10 pm b. 12 : 55 pm c. 1 : 05 pm d. 1.08 pm e. 12.50 pm
♣ A biker rode 45 miles in 180 minutes. What was his speed (mph) during this ride?
a. 17 mph b. 15 mph c. 12 mph d. 9 mph e. 4 mph
♣ Train X leaves Dhaka at 10:00 AM and travels East at a constant speed of x miles per hour. If another Train Y leaves Dhaka at 11:30 AM and travels east along the same tracks at speed 4x/3, then at what time will Train Y catch Train X?
a. 4 PM same day b. 2 PM same day
c. 6 PM same day c. 1 PM same day d. None of them
♣ The ratio of the number of red balls, to yellow balls, to green balls in an urn is 2 : 3 : 4. What is the probability that of ball chosen at random from the urn is a red ball?
a. 2/7 b. 5/10 c. 5/9 d. 2/9 e. None of them
♣ What is the probability that the product of two integers (not necessarily different integers) randomly selected from the numbers 1 through 20, inclusive, is odd?
a. 2/6 b. 1/4 c. 1/2 d. 3/4 e. None of them
♣ The length of a rectangle is increased by 25%. By what percentage should the width be decreased so that the area of the rectangle remains unchanged?
a. 30% b. 25% c. 20% d. 35% e. None of them
♣ If for integer x, 5 < x < 10 and y = x + 5, what is the greatest possible value of x + y?
a. 32 b. 22 c. 23 d. 27 e. None of them
♣ The product of two numbers x and y is twice the sum of the numbers. What is the sum of the reciprocals of x and y?
a. 2/3 b. 3/4 c. 3/7 d. 1/2 e. None of them
♣ In a country, 60% of the male citizen and 70% of the female citizen are eligible to vote, 70% of male citizens eligible to vote voted, and 60% of female citizens eligible to vote voted. What fraction of the citizens voted during the election?
a. 32/57 b. 5/22 c. 21/50 d. 27/50 e. None of them
♣ Which one of the following numbers can be removed from the set S = {0, 2, 4, 5, 9} without changing the average of the elements of the set S?
a. 2 b. 5 c. 9 d. 4 e. None of them
♣ In a set of three numbers, the average of first two numbers is 2, the average of the last two numbers is 3, and the average of the first and the last numbers is 4. What is the average of three numbers?
a. 3 b. 6 c. 9 d. 24 e. None of them
♣ In 2007, the arithmetic mean of the annual incomes of Rahim and Karim was Taka 3800. The arithmetic mean of the annual incomes of Karim and Ripon was Taka 4800, and the arithmetic mean of the annual incomes of Ripon and Rahim was Taka 5800. What is the arithmetic mean of the incomes of the three?
a. 3200 b. 1200 c. 2400 d. 4800 e. None of them
♣ Bank X pays a simple interest of Taka 80 on a principal of Taka 1,000 annually. Bank Y pays a simple interest of Taka 140 on a principal of Taka 1,000 annually. What is the ratio of the interest rates of Bank X to Bank Y?
a. 4 : 7 b. 6 : 8 c. 9 : 18 d. 2 : 4 e. None of them
♣ Robi takes 3 minutes to inspect a car, and Sashi takes 4 minutes to inspect a car. If they both start inspecting different cars at 8:30 AM, what would be the ratio of the number of cars inspected by Robi and Sashi by 8:54 AM of the same day?
a. 3 : 2 b. 4 : 3 c. 2 : 6 d. 8 : 12 e. None of them
♣ Find the smallest number of oranges that can be distributed completely among 4, 6, 10 or 18 children.
a. 16 b. 60 c. 240 d. 180 e. None of them
♣ The total income of Mr. Sakib in the years 2013, 2014 and 2015 was Taka 36,400. His income increased by 20% each year. What was his income in 2015?
a. 1500 b. 14400 c. 16450 d. 12350 e. None of them
♣ How many different six-digit numbers can be formed using all of the following digits: 3, 3, 4, 4, 4, 5?
a. 25 b. 40 c. 50 d. 60 e. None of them
♣ Difference between two numbers is 2 and their sum is 4. Then what is the difference of their square?
a. 7 b. 8 c. 6 d. 5 e. None of them
♣ The sum of two numbers is 5, and their product is 4. Then what is the difference between the numbers?
a. 1 b. 2 c. 3 d. 4 e. None of them
♣ The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
a. 3 b. 4 c. 5 d. 6 e. None of them
♣ 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?
a. 4 b. 2 c. 10 d. 16 e. None of them
♣ One third the sum of 13 and a certain number is the same as one more than twice the number. Find out the number.
a. 6 b. 2 c. 5 d. 3 e. None of them
♣ In an election a candidate who gets 84% of the votes is elected by a majority of 476 votes. What is the total number of votes polled?
a. 672 b. 700 c. 749 d. 848 e. None of them
♣ A man ate 100 bananas in five days, each day eating 6 more than the previous day. How many bananas did he eat on the first day?
a. 6 b. 7 c. 10 d. 8 e. None of them
♣ A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in :
a. 20 days b. 22.5 days c. 25 days d. 30 days e. 15 days
♣ Riaz spent 20% of his income on taxes and 20% of the remainder on rent. What percent of his income has he spent on rent?
a. 12 b. 14 c. 16 d. 18 e. 15
♣ What is the slope of the line that contains the points (1, 3) and (4, -3)?
a. – 2 b. – 0, 5 c. 1 d. 2 e. 3
♣ The price of corn rose 20% two years ago and 15% last year. What is the combined percent increase in price?
a. 5% b. 17.5% c. 25% d. 35% e. 38%
♣ The organizers of a fair projected 25% increase of visitors this year over that of the last year but the actual turnover was 20% less than that of the last year. What percent of projected visitors attended the fair?
a. 25% b. 45% c. 55% d. 64% e. 67%
♣ 75% of students of a class answered Question No. 1 correct and 55% answered Question No. 2 correct and 20% answered neither question correctly. What percent of student answered both question correctly?
a. 20% b. 25% c. 35% d. 45% e. 50%
♣ The taxicab charges Tk. 4.60 for the first 0.2 mile of a trip and Tk. 1.20 for each 0.2 of a mile or a part there of. If the trip is 2.5 miles one way and the waiting charge is Tk. 7.50 for 30 minutes or part thereof. What will be the fare for a round trip if the passenger waited for 90 minutes?
a. 50 b. 55.9 c. 60 d. 6.50 e. 75
♣ In the two consecutive numbers, one-fourth of the smaller one exceeds one-fifth of the larger one by 3. The numbers are:
a. 36, 37 b. 13, 12 c. 64, 65 d. 24, 25 e. 75, 76
♣ 8% of 0.06 =
a. 0.048 b. 0.48 c. 4.8 d. 0.0048 e. 0.00048
♣ The average of a series of consecutive odd numbers is 33. If there are 7 numbers in the series, what is the lowest number in the series?
a. 25 b. 27 c. 29 d. 37 e. 39
♣ A car uses one liter of petrol to travel 17 miles. After a tune-up, the car travels 17% farther on one liter. How many liters (best approximation) of petrol will it take for the car to travel 170 miles after a tune-up?
a. 8.1 b. 7.9 c. 9.3 d. 9.1 e. 8.5
♣ Square of a number plus two times the number equal 63. What is the number?
a. 7 b. 9 c. – 9 d. 7 or – 9 e. 8
♣ Average of 17 even consecutive integers is 42. What is the third integer from the beginning of the series when the integers are arranged in an increasing sequence?
a. 28 b. 29 c. 30 d. 34 e. 36
♣ Mr. A is 5 years senior to Mr. B, Mr. B is 3 years senior to Mr. C, and Mr. C is 2 years junior to Mr. D in job experience. If Mr. D has 15 years job experience, how many years of experience does Mr. A possess?
a. 18 b. 19 c. 20 d. 21 e. 22
♣ How many of the integers between 110 and 120 are prime numbers?
a. 0 b. 1 c. 2 d. 3 e. 4
♣ From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
a. 564 b. 645 c. 735 d. 756 e. 749
♣ Rahim and Karim each fire 20 shots at a mark and agree to register 4 points for every hit and to deduct 3 points for every miss. One hits the mark 12 times, the other 8 times. What are their separate scores?
a. 24, – 4 b. 72, 68 c. 48, 32 d. 74, 16 e. 80, 60
