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1. If m= ${(- 8)}^{4}$ and n= ${(- 8)}^{7}$ , then

a. m is greater than n

b. m is smaller than n

c. m is equal to n

d. all of these

e. none of these

2. If x =2y+3 and y=-2, then

a. x is greater than -1

b. x is smaller than -1

c. x is equal to -1

d. all of these

e. none of these

3. The share price of a bank reduced by 5% on January 16th , but increased by 10% the next day. what was the overall rate of loss or gain?

a. 2% loss

b. 4.5% loss

c. no loss, no gain

d. 4.5% gain

e. 2% gain

4. If p and q are integers and (pq-p) is odd, then which of the following must be even?

a. P +q

b. p -q

c. pq + q

d. p

e. None of them

5. In a certain shop, notebooks that normally sell for BDT 1.50 each are on sale at 2 for BDT 2.89 . How much can be saved by purchasing 10 of these notebooks at the sale price?

a. BDT 1.00

b. BDT. 0.85

c. BDT 0.65

d. BDT 0.55

e. BDT 0.45

6. If the average of 5 consecutive integers is 12 , what is the sum of the least and the greatest of the integers?

a. 14

b. 12

c. 11

d. 24

e. 10

7. The smallest prime number greater than 20 is

a. 21

b. 23

c. 25

d. 27

e. 29

8. The average of x and y is 20. If z = 5 , what is average of x, y and z?

a. 8 1/3

b. 10

c. 12 1/2

d. 15

e. 17 1/2

9. If p = the number of months in 7 years and q = the number of days in 12 weeks

a. p>q

b. q>p

c. p = q

d. all of these

e. None of them

10. If x +2y > 8 , then 2x + 4y is

a. greater than 20

b. smaller than 20

c. equal to 20

d. all of these

e. None of them

11. In a college, 45% of the students are boys.If 40% of the boys and 20% of the girls went on a picnic, what percentage on the total students went to the picnic ?

a. 18%

b. 24%

c. 29%

d. 30%

e. None of these

12. At a particular moment, if the angle between the hour and the minute hand of a clock is 105% what was the time by the clock at that time?

a. 6: 20

b. 6: 40

c. 3 : 15

d. 3.30

e. None of them

13. A circular logo is enlarged to fit the lid of a jar. The new diameter is 50 percent larger than the original . By what percentage has the area of the logo increased?

a. 50

b. 80

c. 100

d. 125

e. None of them

14. If the average of 7 , 13 , p , and q is 17 , what is the average of ( p +1) and (q -9) ?

a. 50

b. 25

c. 21

d. 14

e. None of them

15. On Tuesday, 30 of the students in a class took a test and their average score was 83.5 . On Thursday , the other 5 students took the test, and their average score was 94. what was the average for the entire class?

a. 83.5%

b. 84.5%

c. 85%

d. 88.2%

e. None of them

16. Baki lives 2 miles west of Raju's house . Rafiq lives 3 miles of Raju's house and 2 miles west o Diba's house. what is the straight-line distance from Baki's house to Diba's house?

a. 5 miles

b. 6 miles

c. 7 miles

d. 10 miles

e. None of them

17. Two numbers A and B are such that the sum of 5% A and 4% of B is two - third of the sum o f 6% A and 8% of B. what is the ratio of A and B.

a. 1: 1

b. 2 :3

c. 2: 5

d. 4: 3

e. None of them

18. A bicycle has two wheels of 120 cm and 40 cm in diameters. when the large wheel makes 10 revolutions , how many revolutions does the small wheel make in that time?

a. 18%

b. 24%

c. 29%

d. 30%

e. None of them

19. A ferry, when empty , travels twice as fast as when it is full. It travels 20 miles south with a cargo, spends 30 minutes for unloading , and returns to its original port empty in a total of 8 hours , what is the speed of the ferry when it is empty?

a. 8 mph

b. 10 mph

c. 12 mph

d. 15 mph

e. None of them

20. If x = 2y =3z and xyz =36 , what is the value of z?

a. 2

b. root 2

c. root 3

d. 3

e. None of them