1. Point A is 10 miles West of Point B. Point b is 30 miles North of pint C. Point C is 20 miles East of Point D. What is the distance (in miles) between Point A and Point D?

a. 1010
b. 1020
c. 2010
d. 3010
e. 3020

2. The side length of a square inscribed in a circle is 2. What is the area of the circle?

a. π
b. 2π
c.
d. 22π
e. πr2

3. The remainder when the positive integer m is divided by 7 is x. The remainder is (x + 7) when m is divided by 14. Which one of the following could be the value of m?

a. 45
b. 53
c. 72
d. 85
e. 100

4. A survey of n people in the town A found that 50% of them prefer Brand X. Another survey of 100 people in the town B found that 60% prefer Brand X. In total, 55% of all the people surveyed together prefer Brand X. What is the total number of people surveyed?

a. 50
b. 100
c. 150
d. 200
e. 250

5. Forty tiles of dimensions 1 foot * 2 foot each are required to completely cover a floor. How many tiles of dimensions 2 foot * 4 foot each would be required to completely cover the same floor?

a. 10
b. 20
c. 80
d. 160
e. 320

6. M is a girl and has the same number of brothers as sisters. N is a boy and has twice as many sisters as brothers. M and N are the children of Q. How many children does Q have?

a. 2
b. 3
c. 5
d. 7
e. 8

7. A worker was hired for 7 days. Each day, he was paid Tk. 10 more than what he was paid for the previous day of work. The total amount he was paid in the first 4 days of work equaled the total amount he was paid in the last 3 days. What was his starting pay?

a. Tk. 90
b. Tk. 138
c. Tk. 153
d. Tk. 160
e. Tk. 163

8. The combined salary of X , Y and Z is Tk. 90,000. X earns twice of what z earns, and Y earns 1.5 times of what is the lowest salary of the three?

a. 20,000
b. 22,000
c. 25,000
d. 30,000
e. 40,000

9. A total of Tk. 1200 is deposited in two savings accounts for one year, one portion at 5% simple interest, and the rest at 7% simple interest. If Tk. 72 was earned in interest, how much was deposited at 5%?

a. 410
b. 520
c. 600
d. 650
e. 760

10. P starts jogging from point X to point Y. 30 minutes later his friend R who jogs 1 km/hour slower than twice P's rate starts from the same point and follows the same path. If R overtakes P in 2 hours, how many kilometres will R have covered?

a. 2.2 km
b. 3.33 km
c. 4 km
d. 6 km
e. 6.67 km

11. In a class, 120 students are male and 100 students are female. 25% of the male students and 20% of the female students are engineering students. 20% of the male engineering students and 25% of the female engineering students passed the final exam. What percentage of engineering students passed the exam?

a. 5%
b. 10%
c. 16%
d. 22%
e. 25%

12. A company generated revenue of Tk. 125,000 in 2012 which was 12.5% of its gross revenue. In 2013, the gross revenue increased by Tk. 250,000. What is the percentage increase in the revenue in 2013?

a. 12.5%
b. 20%
c. 25%
d. 50%
e. 66.3%

13. Akash bought two varieties of rice, costing Tk. 50/kg each, and Tk. 60/kg each, and mixed them in some ratio. Then he sold the mixture at Tk. 70/kg. making a profit of 20%. What was the ratio of the mixture?

a. 1 : 10
b. 1 : 5
c. 2 : 7
d. 3 : 8
e. 5 : 7

14. If w is 10 percent less than x, and y is 30 percent less than z, then wy is what percent less than xz?

a. 10%
b. 20%
c. 37%
d. 40%
e. 100%

15. A rectangular field is 3.2 yards long. A fence marking the boundary is 11.2 yards in length. What is the area of the field in square yards?

a. 4.68
b. 7.68
c. 9.28
d. 11.28
e. None of these

16. The length, width, and depth of a rectangular box are 6 feet, 5 feet, and 7 feet, respectively, A pipe supplies water at a rate of 6 cubic feet per minute. How much time, in minutes, would it take for the pipe to fill a conical box whose volume is three times the volume of the rectangular box?

a. 105
b. 125
c. 205
d. 235
e. None of these

17. What percentage of numbers from 1 to 80 has 0 or 5 in the unit's digit?

a. 10%
b. 14%
c. 20%
d. 21%
e. None of these

18. Six years ago, Rahim was P times as old as Kalam was. If Rahim is now 17 years old, how old is Kalam now in terms of P?

a. 11/P+6
b. P/11+6
c. 17-P/6
d. 17/P
e. None of these