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