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