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