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1. Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is ----

a. 36

b. 45

c. 48

d. 49

e. None of these

2. In dividing a number by 585, a student employed the method of short division. He divided the number successively by 5,9 and 13 (factors of 585) and got the remainders 4,8,12 respectively. If he had divided the number by 585, what would have been the remainder?

a. 24

b. 144

c. 292

d. 584

e. None of these

3. The probability of rolling any number of an wighted 6-sided die, with faces numbered 1 through 6, is directly proportional to the number rolled. What is the probability of getting 5, if the die is rolled only once?

a. 1/6

b. 5/6

c. 5/16

d. 5/21

e. None of these

4. If c and d are two integers and @ is defined in p an q as @ (p, q)=(p+1)(q+2), and @ (c, d) equals the product of 2 and 5, then what should be the value of c+d?

a. 11

c. 5

d. 6

e. None of these

5. Solution X is 10% percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 200 milliliters of solution X to create a solution that is 25 percent alcohol by volume?

a. 600

b. 800

c. 300

d. 250

e. None of these

6. If (x+4)2=9 and (y+3)2=25, then the minimum value of y/x is----

a. -1

b. -2

c. -8

d. -2/7

e. None of these

7. The number 3 divides X with a result of Y and a remainder of 2. The number 3 divides Y with a result of 2 and a remainder of 1. What is the value of X?

a. 13

b. 17

c. 21

d. 23

e. None of these

8. Moyna has n chcoltes, where n is an integer such that 20

b. 1

c. 2

d. 3

e. 4

9. Annie invested a certain sum of money in a bank that paid simple interest. The amount grew to Tk 240 at the end of 2 years. She waited for another 3 years and got a final amount of Tk 300. What was the principal amount that she invested at the beginning?

a. 200

b. 150

c. 210

d. 175

e. 250

10. A car averages 25 miles per gallon of gasoline when driven in the city and 40 miles per gallon when driven on the highway. According to these rates, which of the following is closest to the number of miles per gallon that the car averages when it is driven 10 miles in the city and then 50 miles on the highway?

a. 64

b. 36

c. 12

d. 29

e. 42

11. If-2

a. 1

b. -14

c. -7

d. 1

e. -24

12. Arif in now 5 times as old as Babu, but 7 years from now he will be 3 times as old as Babu. How old is Arif now?

a. 7

b. 8

c. 9

d. 11

e. None of these

13. A company generated revenue of Tk 125,000 in 2012 which was 12.5% o 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%

14. The lengths of two sides of a triangle are 7 and 11. If the length of the third side is an integer, What is the least possible perimeter of the triangle?

a. 18

b. 20

c. 22

d. 23

e. None of these

15. A worker is hired for 7 days. Each day, he is paid 10 Taka more than what he is 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. 90

b. 138

c. 153

d. 160

e. 163

16. Two people start jogging at the same point and time but in opposite directions. If the rate of one jogger is 2 mph faster than the other and after 3 hours they are 30 miles apart. What is the rate of the faster jogger?

a. 3 4 5 6 7

b. 4

c. 5

d. 6

e. 7

17. The product of two numbers x and y is twice the sum of the numbers. What is the sum of the reciprocals of x and y?

a. 1/8

b. 1/4

c. 1/2

d. 2

e. 4

18. If n is even, which of the following cannot be odd?

a. n+3

b. 3n+1

c. n2-1

d. 2(n+3)

e. None of these

19. One baker can bake either 2 large cakes or 35 small cakes per hour. How many bakers are needed to bake 20 large cakes and 700 small cakes in 3 hours?

a. 12

b. 15

c. 8

d. 10

e. None of these

20. Rahim gave half of his stamps to karim. Karim gave half of his stamps to Farima. Fatima gave 1/4 of the stamps given to the to Tonmoy and kept the remaining 12. How many stamps did Rahim start with?

a. 48

b. 64

c. 96

d. 192

e. None of these

21. Three consecutive eveb numbers are such that if the first is divided by 6, the second by 4 and the third by 7, the sum of the quotients is 38. Find the numbers.

a. 22, 24, 26

b. 32, 34, 36

c. 46,48,50

d. 66,68, 70

22. The average weight of 39 students is 30 kg. By the admission of a new student, the average comes down to 29.8 kg. Find the weigth of the new student.

a. 22 kg

b. 22.6 kg

c. 31 kg

d. 29.8 kg

23. Find the value of a if $27^{a} = 15 b a n d 3^{a} = 5^{b}$

b. 1

c. 1/2

d. 2

24. If a+b+c=0 find the value of $\frac{a^{3} + b^{3} + c^{3}}{a b c}$

a. 3

c. 1

d. 2

25. Find the factors of the expression $x^{3} - 3 x^{2} - x + 3$

a.

(x - 3) {(x - 1)}^{2}

b.

(x + 3) {(x + 1)}^{2}

c.

(x - 3) (x - 1)

d.

(x + 3) (9 x - 1) (9 x + 1)

26. Sita's age is is double of Geetha's Some years back, Geetha was 30 years younger than Sita , Find Sita's age

a. 30

b. 60

c. 20

d. None of the above

27. The perimeter of a rectangular box is 42cm. The length is 13 cm. Find its area.

a.

112 c m^{2}

b.

104 c m^{2}

c.

140 c m^{2}

d.

121 c m^{2}

28. For all natural value of n, the number $n^{2} + n + 3 i s$

a. a multiple of 3

b. always odd

c. always even

d. None of them

29. P,Q and R start a business. P invests 3.5 times as much as Q invest and Q invest one third of what R does. If the gross profit is Tk. 1545 determine the share of P.

a. Tk. 618

b. Tk. 309

c. Tk. 720

d. Tk. 721

30. A certain stock of food items is sufficient for 40 men for 12 days. Assuming the eating capacity of all the men to be the same , find for how many days the food stock will last if an additional 15 men join the group.

a.

8 \frac{8}{11}

b.

8 \frac{3}{10}

c.

7 \frac{1}{2}

d.

10 \frac{1}{3}