Mathematics Preparation Question: 2

Q1. Difference between 1/2 and 1/3 of a number is 3. What is the number?
A. 3 B. 6 C. 32 D. 18 E. None

Q2. By how is the value of {-10 –(-7)} greater than the value of (-10 +(-7))?
A. -20 B. 20 C. 14 D. -14


Q3. 1/5th of a pole is in mud, ½ of it is in water and rest 6 feet is above water, what is the length of pole?
A. 40 B. 20 C. 15 D. 10 E. None

Q4. Square of a number is 0.0121. what is the number?
A. 11 B. 1.1 C. 0.11 D. 0.011 E. None


Q5. If it is 300 Km forms Dhaka to Chittagong and 180 Km from Dhaka to Comilla, what percentage of the distance from Dhaka to Chittagong is the distance from Dhaka to Comilla?
A. 40 B. 50 C. 60 D. 70

Q6. Sum of a number and it’s invers is double the number. What is the number?
A. 1 B. 2 C. -1 D. Both -1 and 1 E. None

Q7. Are of a triangle is 1 square foot. One of its side is 6 inches long. What is the length of other side in feet?
A. 12 B. 2 C. 24 D. 18 E. 4

Q8. A worker makes 4 boxes in 5/3 hour. How many boxes can he make in 50 minutes?
A. 2 B. 21/3 C. 22/3 D. 25/6 E. 3

Q9. If 3 is the subtracted from a number, the result is 6 more than twice the number. The number is:
A. -9 B. -3 C. 3 D. 5

Q10. A filed is rectangular and its width is 1/3 as long as it’s length. What is the area of the field, if its length is 120m long.
A. 480 B. 2400 C. 4800 D. 5000 E. 7200

Q11.  If a stock average is 500 points at the beginning of a week and 400 points at the end of the same week. By what percent has it decreased during the week?
A. 20 B. 22 C. 25 D. 27 E. 30

Q12. If 3x-27=8, then 4y-6x is :
A. None B. -16 C. -8 D. 18 E. 20

Q13. A marchentsell a radio for $80 and thereby makes a profit of 25% of the cost. What is the  ration of cost to selling price?
A. 4/5 B. ¾ C. 5/6 D. 2/3

Q14. The next number in the geometric progression 5,10,20 is :
A. 25 B. 30 C. 50 D. 40 E. 45

Q15. 2/3 of a group of persons are female. 12 male members of the group are unmarried, while 60% of the male members are married. What is the total number of persons on the group?
A. 34 B. 50 C. 60 D. 90 E. None

Q15. Average of x,y and z is 5. What is the average of x,y,z and 9?
A. 4 B. 5 C. 6 D. 7 E. 5.5

Q16. A man works twice as fast any of his helpers. If he does a job in 90 hours, how many hours are required for 6 helpers to do the job?
A. 15 B. 30 C. 45 D. 10 E. None

Q17. What is the 25 percent of 20 percent of 40?
A. 5 B. 0.2 C. 2 D. 1 E. None

Q18. If 3y-2x-10=0 and 3x=2y then xy=?
A. 2/3 B. 1 C. 4/3 D. 6 E. None

Q19. If n/7+n/5=12/35, what is the value of n?
A. -1 B. 1 C. 0 D. 3 E. None

Q20. If sides of a square increase by 20%, its area increase by what percent?
A. 40 B. 44 C. 400 D. 80 E. 20

Q21. If the product of three consecutive integers is 6, then twice the sum of the integers is:
A. 12 B. 4 C. 18 D. 36 E. None

Q22. If x-6/x=1, then the sum of the possible values of x is:
A. 1 B. -1 C. 5 D. 3 E. -5

Q23. What is the amount of interest on $160 at the rate of 12.5% per annum for 9 months?
A. 16 B. 15 C. 20 D. 12.50 E. None

Q24. How many square of side 2’’ long are needed to cover a rectangle of 3’ long and 3’ wide?
A. 18 B. 64 C. 96 D. 120 E. None

Q25. Pen costs $10 per piece and  paper costs at 10 sheets per dollar. 3 pens and 30 sheets of paper will then cost:
A. 66 B. 6 C. 33 D. 18 E. 4

Q26. X sell a product to Y and makes a profit of 25%. Y sells the product to Z at a loss of 20%. If Z buys is for $140, what price X paid for it?
A. 210 B. 175 C. 140 D. 150 E. None

Q27. The ratio of length to breadth of a rectangular plot is 4:3. If the area of the plot is 1200 square feet then what is the length of the diagonal of the plot in feet?
A. 60 B. 50 C. 40 D. 30 E. None

Q28. If the radii of two circle is 3 to 2, then the ratio of the areas of the two circle is:
A. 2 to 3 B. 3 to 4 C. 4 to 9 D. 9 to 4 E. None

Q29. A chair originally cost Tk. 500. The chair was offered to sale at 108% of its cost. After a week, the price was discounted 10% and the chair was sold. The chair was sold for:
A. 450 B. 486 C. 490 D. 495 E. 540

Q30. A car uses one litre of petrol to travel 17 miles. After a tune up, the car travel 17% further on one liter. How many liter of petrol will it take  for the car to travel 170 miles after the tune up?
A. 8.1 B. 7.9 C. 9.3 D. 9.1 E. 8.5

Q31. The ratio of chickens to goat to cow in a firm can be expressed as triple ratio 20:4:6. If there are 120 chickens on the firm, then  the number of cows are:                                                                
A. 4 B. 6 C. 24 D. 36 E. 60

Q32. Mone is paid Tk. 4000 a month on her regular job. During November and December, in addition to her regular job, she earns Tk. 3000 per month from a second job. Approximately what percent of her annual income does Mone make in December?
A. 5 B. 6.5 C. 13 D. 14 E. 14.5

Q33. A jogger runs around the outside of a rectangular field at a constant speed. It takes her three times as long to jog the length of the field as it takes her to jog the width of the field. It she jogged 48 yards when she jogged around the field, then what is the area of the field in square yards?
A. 108000 B. 98000 C. 124000 D. 118000 E. None

Q34. Two sides of a triangular field is same length 13 feet, third side is 10 feet in length. Find the area of the field in square feet.
A. 60 B. 65 C. 130 D. 50 E. None

Q35. What is the length of one side of a square, if it’s total area is equal to the total area of a circle of 1 foot radius?
A. 1.52 B. √π C. 1.75 D. 2.22 E. None

Q36. What is the smallest number of apples that can be distributed equally(without cutting any apple) among 6,10,14 or 18 boys?
A. 1360 B. 315 C. 360 D. 630 E. None

Q37. Three angle of a triangle are in proportion 5:6:7. Then what is the difference in degrees between the biggest and smallest angles?
A. 15 B. 20 C. 25 D. 30 E. 10

Q38. If AC=4m and BC=5m and <BAC=90, find the area of  triangle ABC?
A. 5 B. 6 C. 8 D. 10 E. 12

Q39. Hasan purchased 3 products: 100 units of product A @Tk. X per unit, 300 units of product B @ Tk. 2x per unit and 600 units of product C @ Tk. 3x per unit. If he wants to make a profit of 20%, he should sell these products at an average rate of :
A. 2.4x B. 2x C. 3x D. 2.2x E. None

Q40. A man and a boy together can complete a job in 81 days. Two men and three boys together can finish the job in 36 days, In how many days can 4 men working together can complete the job?
A. 21 B. 27 C. 30 D. 36 E. 38

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Mathematics Preparation Question: 1

Q1. Sara is 4 years old. Her elder sister Saba is 3 times as old as she. How old will Saba be when she is twice as old as Sara?
A. 24 B. 16 C. 18 D. 20


Q2. Population of a certain country is 10 crore, which is increasing at a rate of 2.4% per year. Find the monthly increase in the number of people in lakh.
A. 0.2 B. 2 C. 1 D. 3 E. 2.4

Q3. If the radius of a circle is increased by 10%, its area is increased by what percent? 
A. 10 B. 100 C. 21 D. 20

Q4. If x+y=a and x-y=b, then 2xy=?
A. (a2-b2)/2 B. (b2-a2)/2 C. (a-b)/2 D. (a2-b2)/4


Q5. Two sides of a right angle triangle are each equal to 2 inches. Then what is the area of the triangle? 
A. 4 B. 3 C. 2 D. 16 E. 8

Q6. A debenture of Tk. 500 with a tenure of six months is sold at a discount of 12% per annum. What is the discounted value?
A. 4900 B. 300 C. 4700 D. None 

Q7. Increasing the original price of an item by 15% and then increasing the new price by another 15% is equivalent to increasing the original price by-----
A. 31% B. 32.25% C. 30% D. 15%

Q8. A man is running at a speed of 8km per hour for a distance of 52m. How many minutes would it take him to cover the distance?
A. 40 B. 39 C. 29 D. 45


Q9. If it is 250 miles from Dhaka to Rangpur and 120 miles from Dhaka to Sylhet. What percentage of the distance from Dhaka to Rangpur is the distance from Sylhet to Dhaka? 
A. 208.3 B. 24 C. 36 D. 48 E. 42

Q10. The minimum value of 2x2 + 8x – 5 is :
A. 13 B. -5 C. -11 D. -13

Q11. If a=b and bc=1 then c=?
A. a B. 1/a C. 2a D. None

Q12. If 2x+7=12, then what is the value of 4x – 7?
A. 2 B. 4 C. 3 D. 10


Q13. John sells a product for $1380 and makes 20% profit. How much did product cost john? 
A. 1100 B. 1120 C. 1150 D. 1180 E. 1560

Q14. If f(t)=t/(t+2), t≠-2, what is the value of f(1/2)?
A. 1/5 B. 5 C. 5/2 D. 2/5

Q15. What is the area of a circle with a radius of 7 meters? 
A. 160 sq.m B. 185 sq.m C. 154 sq.m D. 162 sq.m

Q16. ………
A. B. C. D.

Q17 Ration of two numbers is 9:15. If the former is 36, what is the next number?
A. 600 B. 6 C. 60 D. 30

Q18. Six workers can finish 9 identical jobs in 3 days. How many days will it takes 4 workers to finish 10 such jobs? 
A. 3 B. 4 C. 5 D. 6

Q19. Mone is twice as old as Aminul. In ‘Y’ years Mone will be 1.5 times as old as Aminul. What is Aminul’s age at present? 
A. y/4 B. 2y/3 C. Y D. 3y/2

Q20. If 4x is larger than the sum of x & 3y by 9, then x is longer than y by how much?
A. 3 B. 6 C. 9 D. 12

Q21. Sum of three consecutive whole numbers is 45. Then what is one-third of the middle number?
A. 4 B. 5 C. 6 D. 3

Q22. Four partners distribute their income amongst themselves in the proportion 1:2:3:4. What percent of the income is receive by the first partner?
A. 25 B. 20 C. 10 D. 12

Q23. If x=12, which one has the least value?
A. x-2 B. x/2 C. 2/x D. 2-x

Q24. In an exam, 88% of the students passed in Mathematics and 87% passed in English. If none of the students failed in both subjects and 225 passed in both subjects, calculate the number of the students who have attended the exam. 
A. 100 B. 300 C. 350 D. 225

Q25. If x>2, then which of the following is true?
A. (x+2/x)<2 B. (x+2/x)>2 C. x-2=0 D. None

Q26 if z=2w, z=3x and w,z≠0, then what is the value of x2/wz?
A. 1 B. 2/3 C. 4/3 D. 4

Q27. The sides of a square is 8 inches. What is the length of the diagonal of the square? 
A. 16 B. 12 C. 8√2 D. 2√8

Q28. An automobile passes city x at 9:55 am and city y at 10:15am. City x is 30 miles from city y. what is the average rate, in miles per hour of the automobile? 
A. 10 B. 30 C. 90 D. 120

Q29. How much interest will $1000 earn in one year at an anuual rate of 87, if interest is compound every 6 months?
A. 82.4 B. 82 C. 81.6 D. 80

Q30. In a isosceles triangle ABC, AB=AC and angle <A=80. What is the number of degrees in angle B? 
A. 100 B. 60 C. 50 D. 90

Q31. A mixture of 17 parts of A, 3 parts of B and 4 parts of C weighs 72 gm. How many gm of substance B are in the mixure? 
A. 3.4 B. 9 C. 12 D. 17

Q32. If x and y are prime numbers, which of the following cant be sum of x and y? 
A. 5 B. 9 C. 13 D. 23

Q33. If length of a rectangle is increased by 50%, by what percent would the width have to be decreased to maintain same area? 
A. 33.33 B. 50 C. 66.67 D. 150

Q34. If 5x+13=31, what is the value of √(5x+31)
A. 49 B. 13 C. √7 D. 7
Answerer Question 35 to 40 from the following figure:

Q35. In the figure, AB||CD. X=?
A. 70 B. 110 C. 100 D. 90

Q36. In the figure AB||CD, <x=130 and <y=150. What is the value of <z?
A. 60 B. 90 C. 110 D. 100

Q37.  If AC=4m, BC=5m and <A=90, find the area of ∆ABC.
A. 5 B. 4 C. 3 D. 6

Q38. In the figure  of Q38, what is the area of shaded portion? 
A. 2r2(2 - π) B. 2r2(π - 2) C. 2r2( π - 4) D. 2r2(4 - π) E. r2(2 - π)

Q39.  X=?
A. 60 B. 30 C. 180 D. 90

Q40. In the figure of Q40, what is the value of x? 
A. 30 B. 105 C. 75 D. 35

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Mathematics Preparation Question: 3

Q1. What is 3% of 4%?
A. 0.12% B. 0.0012% C. 0.012% D. 12%

Q2. The reciprocal of p/n is n/p and vice versa. Which of the following is the reciprocal of 3/√12?
A. √2/3 B. 2/V3 C. 4√3/2 D. 12/√3

Q3. If the compound interest at 10% per annum on a certain amount of money for two years is Tk. 1050 what is the principal amount?
A. 876.97 B. 860 C. 867.9 D. 877.77


Q4. What is the width of a rectangular filed, whose length is 70 feet more then it’s width and the perimeter is 500 feet?
A. 60 B. 90 C. 70 D. 80

Q5. A company employs 15 persons working 44 hours a week. If 4 persons are ill, how many hours a week would the rest have to work to make up the time lost?
A. 60 B. 55 C. 50 D. None

Q6. The ratio of ¼ to 3/5 is:
A. 1 to 3 B. 5 to 12 C. 12 to 20 D. None

Q7. An item was sold at 6% profit. If the cost was 4% less and the selling price was Tk. 4 more, then the trader would have made profit of 12.5%. What was the cost the item?
A. 100 B. 200 C. 250 D. 125

Q8. If a=(√3 + √2)/2 and b=(√3 - √2)/2, what is the value of 4(a2-b2)
A. 4 B. √6 C. 4√6 D. √3

Q9. Which is the largest of the following fractions?
A. 1/3 B. 3/10 C. 10/27 D. 17/50

Q10. 5-{5-(-7)}=?
A. 5 B. 7 C. 12 D. -7

Q11. The radius of a circular garden is 70 meters. It cost Tk. 20 per meter for fencing the garden. What would be the cost of fencing the garden?
A. 880 B. 8080 C. 8800 D. 4400

Q12. If x is an odd integer and y is an even integer, which of the following statements is/are always true?
(I). x+y is odd (II). xy is odd   (III). 2x+y is even
A. (I) only B. (II) and (III) only C. (I) and (III) only D. (III) only

Q13. 40% of 200 is what percent of 160?
A. 100 B. 80 C. 60 D. 50

Q14. If 3x+2y=8 and 2x-y=3, find the value of 4-3x.
A. 2 B. 0 C. 1.5 D. -2

Q15. In an exam 88% of the students passed in mathematics and 87% passed in English. If none of the students failed in both subjects and 225 passed in both subjects, calculate the number of  students who have attended the exam.
A. 100 B. 200 C. 300 D. 250

Q16. A man travels a certain distance at a rate of 30 miles an hour and returns at the rate of 40 miles an hour. What is the average speed.
A. 32.34 B. 34.24 C. 43.42 D. 35

Q17. A box of certain goods costs $21. The same brand is packed in bottles of 100 piece and sells for $150. What is the saving per dozen of the goods when one bottle of the goods is purchased?
A. 1 B. 3 C. 18 D. 4

Q18. If 1/x > 1/5 then
A. X > 5 B. X < 5 C. X=0 D. X<1

Q19. If the average of two numbers is M, and the largest number is L, the other number is
A. M –L B. L-M C. 2M – L D. L -2M

Q20. If p:q=q:r=r:s=2:3 and p=-8, what is the value of s?
A. 3 B. 9 C. 18 D. 27

Q21. What value of x satisfies the equation x-1=1-x?
A. 2 B. 1 C. 0 D. None

Q22. If the total surface area of a cube is 24, what is the volume of the cube?
A. 8 B. 24 C. 64 D. 48

Q23. 2x=7 and 3y=2 then 9xy=?
A. 14 B. 18 C. 21 D. 28

Q24. What is the cube root of the product of the three numbers 12, 18 and 125?
A. 5 B. 6 C. 25 D. 30

Q25. How many prime numbers are there between 45 and 72?
A. 4 B. 5 C. 6 D. 7

Q26. A triangle has a perimeter of 36cm. if the length of each side is increased by 50, the new perimeter will be:
A. 60 B. 44 C. 54 D. 72

Q27. A cyclist travels x miles hours and z minutes. What is the cyclist’s speed in miles per hour?
A. (60w+x)/x B. 60x/(w+z) C. (w+z)/x D. 60x/(60w+z)

Q28. If 0.01=z x 0.0001 x 0.0001 then z=?
A. 10 B. 100 C. 10000 D. 1000000

Q29. It took 1 and 3/4 minutes to completely fill a water jar. What part of the jar would be filled in 1 minute?
A. 2/7 B. 3/7 C. 4/7 D. ¾

Q30.the average weight of 3 young men is 53 kg. No one of them weighs less than 51 kg. What is the maximum weight of any one man?
A. 53 B. 35 C. 57 D. 59

Q31. If x4=10 then x6=?
A. 1000 B. 100√10 C. 100 D. 10√10

Q32. Mone is twice as old as Shermin. After x years he will be 1.5 times as old as Shermin. What is Shermins age at present?
A. x/4 B. 2x/3 C. X D. 3x/2

Q33. 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?
A. 40 B. 42 C. 44 D. 46

Q34. Which of the following is the solution of the equation x+x2=1
A. -1 B. 0 C. ½ D. None

Q35. If one number exceeds another by 13 and the larger number is 3/2 times the smaller number, then the smaller number is:
A. 13 B. 26 C. 31 D. 39

Q36. If 3 tailors make 60 shirts per day, how many days will it take 6 tailors to make 120 shirts?
A. 1 B. 2 C. 3 D. 4

From the following figure answer question to Q37 to Q40.

Q37. In the figure, O is the center of the circle and <OCB=35. What is the value of <BAC in degrees?
A. 65 B. 60 C. 55 D. 50

Q38. What is the area of the trapezium in the figure Q38?
A. 16.5 B. 14.5 C. 16 D. 21

Q39. In the figure Q39, four equal circles are drawn within a square whose perimeter is 32. What is the area of the shaded portion?
A. 32-16π B. 64-16π C. 64-32π D. 32-32π

Q40. In the figure Q40, what is the value of x-y=?
A. 45 B. 180 C. 135 D. 90

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